Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
184 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13070909 | C2 | semidirect |
| 3. #13066813 | C2 | semidirect |
| 4. #13066759 | C2 | semidirect |
| 5. #13066758 | C2 | semidirect |
| 6. #13066749 | C2 | semidirect |
| 7. C11×#2258 | C2 | semidirect |
| 65. #2258 | D11 | semidirect |
| 154. C11 | #13648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070909 | 2 |
| #13070451 | 2 |
| #13066813 | 2 |
| #13066759 | 2 |
| #13066758 | 2 |
| #13066749 | 2 |
| C11×#2258 | 2 |
| #13648 | 11 |