Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
330 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#10622132 | C2 | semidirect |
| 5. #13068777 | C2 | semidirect |
| 6. #13066697 | C2 | semidirect |
| 7. C2×C11×#365 | C2 | semidirect |
| 95. C2×#365 | D11 | semidirect |
| 234. C11 | #13534 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622132 | 2 |
| C2×#10622156 | 2 |
| C2×#10622126 | 2 |
| #13069502 | 2 |
| #13068777 | 2 |
| #13066697 | 2 |
| C2×C11×#365 | 2 |
| #13534 | 11 |