Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
156 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13092245 | C2 | semidirect |
| 5. #13092244 | C2 | semidirect |
| 6. #13092242 | C2 | semidirect |
| 7. C23×#366 | C2 | semidirect |
| 19. #10624980 | C4 | semidirect |
| 33. C16×C23 | C2×C4 | semidirect |
| 34. C23⋊C16 | C2×C4 | semidirect |
| 66. #366 | D23 | semidirect |
| 83. C23 | #2159 | semidirect |
| 98. C16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624980 | 2 |
| #13092454 | 2 |
| #107×D23 | 2 |
| #13092245 | 2 |
| #13092244 | 2 |
| #13092242 | 2 |
| C23×#366 | 2 |
| #2159 | 23 |