Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2460 conjugacy classes of subgroups; only the 377 normal subgroups are shown.
This group has 2460 conjugacy classes of subgroups — too many to draw. Only its 377 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 |
|---|---|---|
| 2. C2×#63660 | C2 | semidirect |
| 3. #10592906 | C2 | semidirect |
| 11. C2×#3748 | C22 | semidirect |
| 93. C22×C32 | #100 | semidirect |
| 158. C22×C3 | #833 | semidirect |
| 163. C32 | #1783 | semidirect |
| 198. C22 | #63660 | semidirect |
| 203. C3 | #72129 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C32×D4 | 2 |
| C2×#63660 | 2 |
| #10592906 | 2 |
| #72129 | 3 |