Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
412 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13070381 | C2 | semidirect |
| 5. #13068739 | C2 | semidirect |
| 6. #13066732 | C2 | semidirect |
| 7. C11×#1384 | C2 | semidirect |
| 18. #10622482 | C4 | semidirect |
| 99. #1384 | D11 | semidirect |
| 229. C11 | #12826 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077467 | 2 |
| #13070381 | 2 |
| C2×#10622154 | 2 |
| #13070331 | 2 |
| #13068739 | 2 |
| #13066732 | 2 |
| C11×#1384 | 2 |
| #12826 | 11 |