Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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×#10625083 | C2 | semidirect |
| 2. C2×#10625072 | C2 | semidirect |
| 3. #13092996 | C2 | semidirect |
| 4. #13092662 | C2 | semidirect |
| 5. #13092661 | C2 | semidirect |
| 6. #13092659 | C2 | semidirect |
| 7. #13092658 | C2 | semidirect |
| 8. #13092650 | C2 | semidirect |
| 9. #107×D23 | C2 | semidirect |
| 10. #13092415 | C2 | semidirect |
| 11. C23×#466 | C2 | semidirect |
| 80. C8×D23 | D4 | semidirect |
| 145. #466 | D23 | semidirect |
| 184. C23 | #3061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625083 | 2 |
| C2×#10625072 | 2 |
| #13092996 | 2 |
| #13092662 | 2 |
| #13092661 | 2 |
| #13092659 | 2 |
| #13092658 | 2 |
| #13092650 | 2 |
| #107×D23 | 2 |
| #13092415 | 2 |
| C23×#466 | 2 |
| #3061 | 23 |