Finite Group DatabasebetaFinite Group DatabasebetaOrder 33664.
272 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 10. #22554402 | C4 | semidirect |
| 11. #22554380 | C4 | semidirect |
| 15. #107×C263 | C4 | semidirect |
| 50. C8×C263 | C42 | semidirect |
| 68. C263 | #1776 | semidirect |
| 81. #107 | Dic263 | semidirect |
| 119. C8 | C4×Dic263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22554402 | 2 |
| C2×#22554380 | 2 |
| C4⋊C4×Dic263 | 2 |
| #30681700 | 2 |
| C2×#107×C263 | 2 |
| #1776 | 263 |