Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
414 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#10622149 | C2 | semidirect |
| 5. #13068777 | C2 | semidirect |
| 6. #13066716 | C2 | semidirect |
| 7. C11×#1383 | C2 | semidirect |
| 20. #10622508 | C4 | semidirect |
| 107. #1383 | D11 | semidirect |
| 249. C11 | #12824 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622508 | 2 |
| C2×#10622149 | 2 |
| C2×#10622156 | 2 |
| C2×#10622126 | 2 |
| #13068777 | 2 |
| #13066716 | 2 |
| C11×#1383 | 2 |
| #12824 | 11 |