Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
172 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 40 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 8. #22575514 | C4 | semidirect |
| 13. #22575372 | C4 | semidirect |
| 15. #101×C269 | C4 | semidirect |
| 79. C269 | #1394 | semidirect |
| 93. #101 | #11761640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D269⋊#101 | 2 |
| (C2×#11761640)⋊Q8 | 2 |
| #101×D269 | 2 |
| #1394 | 269 |