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Knowledge · ISO GPS

ISO 5458: what SZ, CZ and the datums of an element group actually lock

Eight holes, four groups, five possible indications on the same plate. The interactive graphic shows which degrees of freedom each combination of SZ, CZ and the datums A, B and C locks.

ISO GPS Christian Schärer · 10 September 2026 · 3 min read

Eight holes, four groups

This plate has 8 holes, of which two always form a group for functional reasons (A). The orientation of the 4 groups and of the holes they contain can be controlled through combinations of CZ and SZ.

The drawing with all five indications stacked
AAAABB A B C 3232322622 4× A/2× B Ø 0.3SZCZAØ 0.4CZCZAØ 0.6SZCZABØ 1.0CZCZABØ 1.5ABC Position specification Position specification Position specification Position specification Position specification
On a drawing only one of the five indications would appear. Here they are stacked so that they can be compared. The stack shows how finely a function can be specified. Dimensions and tolerance values are our own example. On a phone the drawing can be scrolled sideways.
Arrow A designates the group, present four times. Arrow B designates the single hole, twice per group. The letters in the square frame with a triangle are the datums: A the upper face, B the lower one, C the left one. The framed dimensions 26, 32 and 22 are theoretically exact dimensions. The colours carry the assignment: the first indication in the stack applies to the 4 groups, blue like the group arrows 4× A. The second applies to the 2 holes of a group, brown like the hole arrows 2× B.
Which indication applies to which level

The indications in the frame follow the order of the levels, from the largest collection to the smallest. On this plate there are two levels, the 4 groups and the 2 holes of a group. There can be more.

Further levels are possible. Suppose a part carries 4 groups, each group 2 subgroups and each subgroup 3 holes, then three arrows designate the levels and three indications stand in the frame:

4× A/2× B/3× C
Position specification Ø 0.8 SZ SZ CZ A Fictional example with three levels, not the plate from the drawing. The position is set to datum A only.
1st indication · 4× A SZ, the 4 groups sit each on its own 2nd indication · 2× B SZ, the 2 subgroups of a group sit each on its own 3rd indication · 3× C CZ, the 3 holes of a subgroup are combined

SZ separates, CZ combines, the datum ties it to the part

The position tolerance gives every hole a zone its axis has to lie in. How the eight zones stand relative to each other is decided by the modifiers. In this example the first indication in the indicator applies to the four groups relative to each other, the second to the two holes within a group.

SZseparate zones

Every zone applies on its own. The four groups may sit and rotate independently of each other, as long as each keeps to its own zone.

CZcombined zone

The zones form one unit with a fixed spacing and the same orientation. Translation and rotation are only possible together.

A B CDatums

A sets the zones perpendicular to the upper face, B locks rotation in the plane of the drawing and holds the 22 mm, C holds the position in X.

Without a datum the pattern stays rigid in itself but free relative to the part. Only the datum ties the zones to faces, and every further datum takes one more degree of freedom. Whether the indication on your drawing matches the function is something we settle in a drawing review.

Try it yourself

Pick an indication and watch what is still allowed to move. The locks at the dimensions snap shut as soon as the chosen indication holds that dimension.

Which indication when?

Depending on the exact function of the plate, each of the cases shown can make sense.

Position specificationØ 0.3 SZ CZA SZ CZ | A for example, when 4 individual parts are bolted to the plate and the hole spacing of 26 is what mainly governs the function.
Position specificationØ 0.4 CZ CZA CZ CZ | A would make sense when something is fastened at all 8 holes at once while the hole pattern is still allowed to float relative to B and C.
Position specificationØ 0.6 SZ CZAB SZ CZ |A|B is the one to use when the orientation among the parts and to datum B matters, but not the spacing between the 4 parts.
Position specificationØ 1.0 CZ CZAB CZ CZ |A|B makes the spacing of the parts count as well.
Position specificationØ 1.5ABC |A|B|C blocks all degrees of freedom of the holes absolutely through the 3 datums. This specification, widely used in practice, fixes the spacing and orientation of the 4 intended parts absolutely.
Often single degrees of freedom could be constrained less through a well-chosen pattern (SZ, CZ), and costs would come down with them.

The five cases show how far a function can be broken down into single degrees of freedom, right down to the smallest fragment. That does not mean every part needs this depth. Many get by with a single indication. Breaking it down pays off where the function calls for it, or where an overly tight indication costs money in manufacturing.

Which combination fits the function is decided at the part, not by habit. In ISO GPS consulting we settle it together with your design, and in dimensional inspection the measuring program builds the same datum system the indication calls for.

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Next step
Have the position tolerances on your drawing reviewed
We check whether SZ, CZ and the datums match the function of your part, and we measure the group to the same specification.
To the drawing review →
Further reading
ISO GPS Offset tolerance zone UZ: where the zone goes Read the article → ISO GPS The drawing is the law — what is not on it does not apply Read the article →
Christian Schärer
Christian Schärer
Owner and Managing Director · Specification, drawing review and inspection decisions · Standards committee Swissmem NK1
Last technically reviewed 10 September 2026 · published 10 September 2026
Matthias Müller
Lecturer in Product Development, Institute of Product and Production Engineering FHNW
Technically reviewed 10 September 2026