Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
432 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 141 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. C23⋊#401 | C2 | semidirect |
| 2. #13092358 | C2 | semidirect |
| 5. C4×Dic23⋊C4 | C2 | semidirect |
| 7. C23×#376 | C2 | semidirect |
| 73. #376 | D23 | semidirect |
| 91. C23 | #2401 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23⋊#401 | 2 |
| #13092358 | 2 |
| #13092346 | 2 |
| #13092341 | 2 |
| C4×Dic23⋊C4 | 2 |
| C4×(C2×D23)⋊C4 | 2 |
| C23×#376 | 2 |
| #2401 | 23 |