Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #13093045 | C2 | semidirect |
| 3. #13092784 | C2 | semidirect |
| 4. #13092778 | C2 | semidirect |
| 5. #13092773 | C2 | semidirect |
| 6. #13092766 | C2 | semidirect |
| 9. C2×#10625017 | C2 | semidirect |
| 10. #13092375 | C2 | semidirect |
| 11. C23×#419 | C2 | semidirect |
| 129. #419 | D23 | semidirect |
| 168. C23 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093045 | 2 |
| #13092991 | 2 |
| #13092784 | 2 |
| #13092778 | 2 |
| #13092773 | 2 |
| #13092766 | 2 |
| #13092419 | 2 |
| #13092411 | 2 |
| C2×#10625017 | 2 |
| #13092375 | 2 |
| C23×#419 | 2 |
| #3137 | 23 |