Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
232 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 63 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×#10622160 | C2 | semidirect |
| 5. #13070867 | C2 | semidirect |
| 6. #13066749 | C2 | semidirect |
| 7. C2×C11×Q64 | C2 | semidirect |
| 70. C2×Q64 | D11 | semidirect |
| 165. C11 | #13730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622160 | 2 |
| C2×#10622087 | 2 |
| C2×#10622159 | 2 |
| #13070878 | 2 |
| #13070867 | 2 |
| #13066749 | 2 |
| C2×C11×Q64 | 2 |
| #13730 | 11 |