Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 75. C8×C11 | Q32 | semidirect |
| 139. C11 | #12427 | semidirect |
| 154. C8 | #66893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070666 | 2 |
| #13068234 | 2 |
| #13066686 | 2 |
| #13066664 | 2 |
| C8×C11×Q16 | 2 |
| #12427 | 11 |