Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
406 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 2. #13070389 | C2 | semidirect |
| 5. #13069364 | C2 | semidirect |
| 6. #13066718 | C2 | semidirect |
| 7. C11×#1376 | C2 | semidirect |
| 22. #10622156 | C4 | semidirect |
| 48. C11×M32 | C2×C4 | semidirect |
| 58. #66881 | C2×C4 | semidirect |
| 112. #1376 | D11 | semidirect |
| 197. M32 | C4×D11 | semidirect |
| 259. C11 | #12951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#66957 | 2 |
| #13070389 | 2 |
| #13070366 | 2 |
| #13070353 | 2 |
| #13069364 | 2 |
| #13066718 | 2 |
| C11×#1376 | 2 |
| #12951 | 11 |