Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
564 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 137 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×#10625087 | C2 | semidirect |
| 2. C2×#10625083 | C2 | semidirect |
| 3. #13092966 | C2 | semidirect |
| 4. #13092965 | C2 | semidirect |
| 5. #13092812 | C2 | semidirect |
| 6. #13092811 | C2 | semidirect |
| 7. #13092808 | C2 | semidirect |
| 8. #13092805 | C2 | semidirect |
| 9. #13092804 | C2 | semidirect |
| 10. #97×D23 | C2 | semidirect |
| 11. C23×#496 | C2 | semidirect |
| 79. C8×D23 | D4 | semidirect |
| 137. #496 | D23 | semidirect |
| 174. C23 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625087 | 2 |
| C2×#10625083 | 2 |
| #13092966 | 2 |
| #13092965 | 2 |
| #13092812 | 2 |
| #13092811 | 2 |
| #13092808 | 2 |
| #13092805 | 2 |
| #13092804 | 2 |
| #97×D23 | 2 |
| C23×#496 | 2 |
| #3150 | 23 |