Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
614 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 614 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 6. #10593550 | C2 | semidirect |
| 7. C4×#3777 | C2 | semidirect |
| 8. #10593548 | C2 | semidirect |
| 15. C2×#3777 | C4 | semidirect |
| 185. C32 | #2345 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#3777 | 2 |
| C22⋊C4×#157 | 2 |
| #10593568 | 2 |
| #10593550 | 2 |
| C4×#3777 | 2 |
| #10593548 | 2 |
| #2345 | 9 |