Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
298 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 66 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×C32×C8 | C8 | semidirect |
| 22. C2×C3⋊(C3⋊C8) | C8 | semidirect |
| 95. C2×C8 | #622 | semidirect |
| 109. C32 | #1281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10593795 | 2 |
| C2×#63642 | 2 |
| #1281 | 9 |