Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
982 conjugacy classes of subgroups; only the 411 normal subgroups are shown.
This group has 982 conjugacy classes of subgroups — too many to draw. Only its 411 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. C11⋊#1273 | C2 | semidirect |
| 3. C11×#1273 | C2 | semidirect |
| 17. C2×C8×D11 | C8 | semidirect |
| 33. C2×C8×C11 | C2×C8 | semidirect |
| 40. C2×C11⋊C8 | C2×C8 | semidirect |
| 44. #1273 | D11 | direct (N × H) |
| 91. D11 | #1273 | direct (N × H) |
| 105. C2×C8 | C8×D11 | semidirect |
| 110. C11 | C2×#1273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C8×D11 | 2 |
| C11⋊#1273 | 2 |
| C11×#1273 | 2 |
| C2×#1273 | 11 |