Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
276 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 19. #63746 | C4 | semidirect |
| 175. C32 | #1918 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊C4×#157 | 2 |
| #10593554 | 2 |
| C2×#63746 | 2 |
| #10590163 | 2 |
| #10590093 | 2 |
| #10590090 | 2 |
| #1918 | 9 |