Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
362 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 113 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×#10624990 | C2 | semidirect |
| 4. #13092315 | C2 | semidirect |
| 5. #13092179 | C2 | semidirect |
| 6. #13092172 | C2 | semidirect |
| 21. #10625014 | C4 | semidirect |
| 48. C4⋊Dic23 | C2×C4 | semidirect |
| 55. C2×C23⋊C8 | C2×C4 | semidirect |
| 67. D4×C23 | C4⋊C4 | semidirect |
| 147. C23 | #1864 | semidirect |
| 191. D4 | Dic23⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624990 | 2 |
| C2×#10625014 | 2 |
| #13092315 | 2 |
| #13092179 | 2 |
| #13092172 | 2 |
| C2×C4×D4×C23 | 2 |
| #1864 | 23 |