Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
144 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 65 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. #13092241 | C2 | semidirect |
| 5. #13092240 | C2 | semidirect |
| 6. #13092239 | C2 | semidirect |
| 7. C23×#365 | C2 | semidirect |
| 19. #10624980 | C4 | semidirect |
| 20. C16×D23 | C4 | semidirect |
| 70. #365 | D23 | semidirect |
| 88. C23 | #2155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| M32×D23 | 2 |
| #108×D23 | 2 |
| #13092452 | 2 |
| #13092241 | 2 |
| #13092240 | 2 |
| #13092239 | 2 |
| C23×#365 | 2 |
| #2155 | 23 |