Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
142 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 3. #13092523 | C2 | semidirect |
| 4. #13092232 | C2 | semidirect |
| 6. #13092194 | C2 | semidirect |
| 7. C23×#365 | C2 | semidirect |
| 19. Dic184 | C4 | semidirect |
| 20. #10624982 | C4 | semidirect |
| 65. #365 | D23 | semidirect |
| 85. C23 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092860 | 2 |
| #13092538 | 2 |
| #13092523 | 2 |
| #13092232 | 2 |
| #13092226 | 2 |
| #13092194 | 2 |
| C23×#365 | 2 |
| #2180 | 23 |