Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
984 conjugacy classes of subgroups; only the 335 normal subgroups are shown.
This group has 984 conjugacy classes of subgroups — too many to draw. Only its 335 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 |
|---|---|---|
| 1. #13068909 | C2 | semidirect |
| 2. #13068759 | C2 | semidirect |
| 14. C11×#127 | C8 | semidirect |
| 29. C2×D4×C11 | C2×C8 | semidirect |
| 40. C42×C11 | C2×C8 | semidirect |
| 83. #127 | C11⋊C8 | semidirect |
| 99. C2×D4 | C2×C11⋊C8 | semidirect |
| 112. C42 | C2×C11⋊C8 | semidirect |
| 113. C11 | #23355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13068909 | 2 |
| #13068759 | 2 |
| C4×C11×#127 | 2 |
| #23355 | 11 |