Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
444 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 16. C9×#101 | C4 | semidirect |
| 17. #63394 | C4 | semidirect |
| 116. Dic9 | #101 | direct (N × H) |
| 127. #101 | Dic9 | direct (N × H) |
| 187. C9 | C4×#101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×Dic9 | 2 |
| C2×C9×#101 | 2 |
| C2×#63394 | 2 |
| M16×Dic9 | 2 |
| #10588234 | 2 |
| Dic3×#101 | 3 |