Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
300 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 90. Dic18 | Q16 | semidirect |
| 211. C9 | #1645 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic18 | 2 |
| #10588707 | 2 |
| #10588515 | 2 |
| #10588361 | 2 |
| C9×Q8⋊C8 | 2 |
| #10588158 | 2 |
| #10588133 | 2 |
| #68271 | 3 |