Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1692 conjugacy classes of subgroups; only the 377 normal subgroups are shown.
This group has 1692 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×#63663 | C2 | semidirect |
| 82. C22×C32 | #101 | semidirect |
| 137. C22×C3 | #836 | semidirect |
| 143. C32 | #1784 | semidirect |
| 168. C22 | #63663 | semidirect |
| 174. C3 | #72133 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C32×Q8 | 2 |
| C2×#63663 | 2 |
| #10592906 | 2 |
| #72133 | 3 |