Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
262 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 56 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 |
|---|---|---|
| 154. C32 | #1587 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10593835 | 2 |
| Q8×#622 | 2 |
| Q16×C3⋊Dic3 | 2 |
| Q8⋊#622 | 2 |
| #10590172 | 2 |
| #10590169 | 2 |
| #1587 | 9 |