Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
342 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 1. Q82×C9 | C2 | semidirect |
| 4. #10588223 | C2 | semidirect |
| 5. #10588212 | C2 | semidirect |
| 55. Q8×C9 | SD16 | semidirect |
| 66. Q82 | D9 | semidirect |
| 150. C9 | #1623 | semidirect |
| 155. Q8 | #3675 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q82×C9 | 2 |
| #10588770 | 2 |
| #10588710 | 2 |
| #10588223 | 2 |
| #10588212 | 2 |
| #71939 | 3 |