Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
592 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 163 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 |
|---|---|---|
| 1. #13079195 | C2 | semidirect |
| 2. #13070898 | C2 | semidirect |
| 3. #13070866 | C2 | semidirect |
| 4. #13070840 | C2 | semidirect |
| 5. #13070719 | C2 | semidirect |
| 6. #13070493 | C2 | semidirect |
| 7. C4×C11×M32 | C2 | semidirect |
| 75. C11×C16 | #41 | semidirect |
| 82. C4×M32 | D11 | semidirect |
| 186. C16 | #4339 | semidirect |
| 187. C11 | #33748 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079195 | 2 |
| #13070898 | 2 |
| #13070866 | 2 |
| #13070840 | 2 |
| #13070719 | 2 |
| #13070493 | 2 |
| C4×C11×M32 | 2 |
| #33748 | 11 |