Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
288 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 288 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 |
|---|---|---|
| 4. #13066674 | C2 | semidirect |
| 5. #13066672 | C2 | semidirect |
| 6. #13066670 | C2 | semidirect |
| 7. C11×#1365 | C2 | semidirect |
| 85. #1365 | D11 | semidirect |
| 202. C11 | #11973 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079127 | 2 |
| #13070414 | 2 |
| #13067378 | 2 |
| #13066674 | 2 |
| #13066672 | 2 |
| #13066670 | 2 |
| C11×#1365 | 2 |
| #11973 | 11 |