Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
250 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#10622087 | C2 | semidirect |
| 2. #13070869 | C2 | semidirect |
| 4. C4×C11×C32 | C2 | semidirect |
| 27. C11×C32 | D4 | semidirect |
| 47. C4×C32 | D11 | semidirect |
| 72. C4×C11 | SD64 | semidirect |
| 89. C32 | D44 | semidirect |
| 108. C11 | #13727 | semidirect |
| 125. C4 | #10622087 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622087 | 2 |
| #13070869 | 2 |
| #13070866 | 2 |
| C4×C11×C32 | 2 |
| #13727 | 11 |