Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
664 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 664 conjugacy classes of subgroups — too many to draw. Only its 151 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×D11×Q32 | C2 | semidirect |
| 3. #13070704 | C2 | semidirect |
| 4. #13070663 | C2 | semidirect |
| 5. #13070548 | C2 | semidirect |
| 6. C4×Dic88 | C2 | semidirect |
| 8. C11×#2247 | C2 | semidirect |
| 56. Dic88 | D4 | semidirect |
| 93. #2247 | D11 | semidirect |
| 109. D44 | Q32 | semidirect |
| 143. C2×D11 | C2×Q32 | semidirect |
| 146. C4×C11 | C2×Q32 | semidirect |
| 217. C11 | D4×Q32 | semidirect |
| 248. C4 | D11×Q32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D11×Q32 | 2 |
| #13080366 | 2 |
| #13070704 | 2 |
| #13070663 | 2 |
| #13070548 | 2 |
| C4×Dic88 | 2 |
| C16×D44 | 2 |
| C11×#2247 | 2 |
| D4×Q32 | 11 |