Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
136 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 54 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. C2×#16864405 | C4 | semidirect |
| 12. #22575393 | C4 | semidirect |
| 15. M32×C269 | C4 | semidirect |
| 58. C269 | #1379 | semidirect |
| 68. M32 | #11761640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D269⋊C16 | 2 |
| #31771568 | 2 |
| M32×D269 | 2 |
| #1379 | 269 |