Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
354 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 210. C9 | #1830 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589618 | 2 |
| C2×#63382 | 2 |
| C9×#344 | 2 |
| #10588236 | 2 |
| #10588232 | 2 |
| #10588209 | 2 |
| #69029 | 3 |