Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
912 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 269 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 |
|---|---|---|
| 14. C2×#3746 | C4 | semidirect |
| 183. C32 | #1971 | semidirect |
| 219. C3 | #70575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#3746 | 2 |
| C2×C32×#106 | 2 |
| C2×#63642 | 2 |
| #10592672 | 2 |
| C2×#63637 | 2 |
| #70575 | 3 |