Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
160 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 160 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 |
|---|---|---|
| 1. #13092821 | C2 | semidirect |
| 3. #13092219 | C2 | semidirect |
| 4. #13092218 | C2 | semidirect |
| 5. #13092217 | C2 | semidirect |
| 6. C16×Dic23 | C2 | semidirect |
| 7. C23×#357 | C2 | semidirect |
| 73. #357 | D23 | semidirect |
| 91. C23 | #2240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092821 | 2 |
| #13092792 | 2 |
| #13092219 | 2 |
| #13092218 | 2 |
| #13092217 | 2 |
| C16×Dic23 | 2 |
| C23×#357 | 2 |
| #2240 | 23 |