Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13070411 | C2 | semidirect |
| 4. #13068791 | C2 | semidirect |
| 5. C11×#1375 | C2 | semidirect |
| 73. #1375 | D11 | semidirect |
| 177. C11 | #13532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070411 | 2 |
| #13070345 | 2 |
| #13069509 | 2 |
| #13068791 | 2 |
| C11×#1375 | 2 |
| #13532 | 11 |