Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
284 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 85 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×#10622127 | C2 | semidirect |
| 5. #13066725 | C2 | semidirect |
| 6. #13066709 | C2 | semidirect |
| 7. C11×#1387 | C2 | semidirect |
| 94. #1387 | D11 | semidirect |
| 225. C11 | #13495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622127 | 2 |
| #13070231 | 2 |
| #13068681 | 2 |
| #13068677 | 2 |
| #13066725 | 2 |
| #13066709 | 2 |
| C11×#1387 | 2 |
| #13495 | 11 |