Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13093230 | C2 | semidirect |
| 2. #13092859 | C2 | semidirect |
| 3. #13092858 | C2 | semidirect |
| 4. #13092850 | C2 | semidirect |
| 5. #13092849 | C2 | semidirect |
| 6. Q32×D23 | C2 | semidirect |
| 7. #13092833 | C2 | semidirect |
| 8. C2×C23×Q32 | C2 | semidirect |
| 84. C2×Q32 | D23 | semidirect |
| 109. C23 | #3417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093230 | 2 |
| #13092859 | 2 |
| #13092858 | 2 |
| #13092850 | 2 |
| #13092849 | 2 |
| Q32×D23 | 2 |
| #13092833 | 2 |
| C2×C23×Q32 | 2 |
| #3417 | 23 |