Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
574 conjugacy classes of subgroups; only the 387 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 387 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 |
|---|---|---|
| 11. #10622093 | C4 | semidirect |
| 12. C8×C11⋊C8 | C4 | semidirect |
| 19. C4×C8×C11 | C8 | semidirect |
| 76. C4×C8 | C11⋊C8 | semidirect |
| 95. C11 | #7841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13068362 | 2 |
| C2×#10622093 | 2 |
| C2×C8×C11⋊C8 | 2 |
| C42×C8×C11 | 2 |
| #7841 | 11 |