Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13092727 | C2 | semidirect |
| 4. #13092726 | C2 | semidirect |
| 5. #13092713 | C2 | semidirect |
| 6. #13092712 | C2 | semidirect |
| 7. #13092699 | C2 | semidirect |
| 11. C23×#475 | C2 | semidirect |
| 46. Q8×D23 | Q8 | semidirect |
| 134. #475 | D23 | semidirect |
| 173. C23 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092972 | 2 |
| C4×Q8×D23 | 2 |
| #13092727 | 2 |
| #13092726 | 2 |
| #13092713 | 2 |
| #13092712 | 2 |
| #13092699 | 2 |
| #13092456 | 2 |
| #13092439 | 2 |
| #13092424 | 2 |
| C23×#475 | 2 |
| #3078 | 23 |