Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
414 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 110 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. C2×#3674 | C4 | semidirect |
| 257. C9 | #1979 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#3674 | 2 |
| C9×#419 | 2 |
| C2×#63394 | 2 |
| C2×#63382 | 2 |
| C2×#63381 | 2 |
| #10588681 | 2 |
| #10588675 | 2 |
| #70336 | 3 |