Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
184 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #13092192 | C2 | semidirect |
| 5. C4×C23⋊C16 | C2 | semidirect |
| 6. C16×Dic23 | C2 | semidirect |
| 7. C23×#346 | C2 | semidirect |
| 19. #10624980 | C4 | semidirect |
| 20. C16×D23 | C4 | semidirect |
| 62. #346 | D23 | semidirect |
| 81. C23 | #2108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624980 | 2 |
| C2×C16×D23 | 2 |
| #13092371 | 2 |
| #13092192 | 2 |
| C4×C23⋊C16 | 2 |
| C16×Dic23 | 2 |
| C23×#346 | 2 |
| #2108 | 23 |