Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
378 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 134 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. #10588212 | C2 | semidirect |
| 65. Q8×C9 | M16 | semidirect |
| 189. C9 | #1491 | semidirect |
| 193. Q8 | #3667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Q8×C9 | 2 |
| #10588606 | 2 |
| C4×#3667 | 2 |
| #10588212 | 2 |
| #71623 | 3 |