Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
256 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 61 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×#10625009 | C2 | semidirect |
| 2. #13092658 | C2 | semidirect |
| 3. #13092218 | C2 | semidirect |
| 4. C22⋊(C23⋊C16) | C2 | semidirect |
| 12. C2×Dic92 | C22 | semidirect |
| 14. #10625000 | C22 | semidirect |
| 16. C2×C23⋊C16 | C22 | semidirect |
| 60. C22×C23 | SD32 | semidirect |
| 88. C23 | #2187 | semidirect |
| 131. C22 | #10625009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625009 | 2 |
| #13092658 | 2 |
| #13092218 | 2 |
| C22⋊(C23⋊C16) | 2 |
| C22×D8×C23 | 2 |
| #2187 | 23 |