Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
384 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#10625061 | C2 | semidirect |
| 3. #13092727 | C2 | semidirect |
| 4. #13092723 | C2 | semidirect |
| 5. #13092720 | C2 | semidirect |
| 6. #13092716 | C2 | semidirect |
| 7. #13092460 | C2 | semidirect |
| 8. #13092440 | C2 | semidirect |
| 11. C23×#428 | C2 | semidirect |
| 138. #428 | D23 | semidirect |
| 178. C23 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625061 | 2 |
| #13092885 | 2 |
| #13092727 | 2 |
| #13092723 | 2 |
| #13092720 | 2 |
| #13092716 | 2 |
| #13092460 | 2 |
| #13092440 | 2 |
| #13092419 | 2 |
| #13092416 | 2 |
| C23×#428 | 2 |
| #3080 | 23 |