Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
378 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13070410 | C2 | semidirect |
| 3. C2×#10622144 | C2 | semidirect |
| 6. #13066732 | C2 | semidirect |
| 7. C11×#1382 | C2 | semidirect |
| 21. #10622146 | C4 | semidirect |
| 101. #1382 | D11 | semidirect |
| 231. C11 | #12927 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077224 | 2 |
| #13070410 | 2 |
| C2×#10622144 | 2 |
| C2×#10622146 | 2 |
| #13068667 | 2 |
| #13066732 | 2 |
| C11×#1382 | 2 |
| #12927 | 11 |