Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
410 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 12. C32×C4×C8 | C4 | semidirect |
| 13. C8×C3⋊Dic3 | C4 | semidirect |
| 14. C8×C3⋊Dic3 | C4 | semidirect |
| 15. C4×C3⋊(C3⋊C8) | C4 | semidirect |
| 94. C4×C8 | #157 | semidirect |
| 140. C32 | #1846 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63769 | 2 |
| C2×#63768 | 2 |
| #10593736 | 2 |
| C4×C8×C3⋊D3 | 2 |
| #1846 | 9 |