Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1074 conjugacy classes of subgroups; only the 297 normal subgroups are shown.
This group has 1074 conjugacy classes of subgroups — too many to draw. Only its 297 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 |
|---|---|---|
| 4. #10592415 | C2 | semidirect |
| 5. #10592398 | C2 | semidirect |
| 6. #10592380 | C2 | semidirect |
| 7. #10592379 | C2 | semidirect |
| 176. C32 | #3185 | semidirect |
| 202. C3 | #78540 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10595941 | 2 |
| C32×C4×M16 | 2 |
| #10592836 | 2 |
| #10592415 | 2 |
| #10592398 | 2 |
| #10592380 | 2 |
| #10592379 | 2 |
| #78540 | 3 |