Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
174 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 9. #64214 | C4 | semidirect |
| 11. #64213 | C4 | semidirect |
| 118. C32 | #1379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64214 | 2 |
| C2×#64213 | 2 |
| #10593748 | 2 |
| #1379 | 9 |