Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
132 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 7. #22575527 | C4 | semidirect |
| 14. C2×#16864377 | C4 | semidirect |
| 15. C2×C16×C269 | C4 | semidirect |
| 58. C269 | #1378 | semidirect |
| 72. C2×C16 | #11761640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D269⋊M32 | 2 |
| #31771568 | 2 |
| C2×#22575392 | 2 |
| #1378 | 269 |