Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
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×#11758493 | C2 | semidirect |
| 2. C2×#11758489 | C2 | semidirect |
| 3. #14521598 | C2 | semidirect |
| 4. #14521597 | C2 | semidirect |
| 5. #14521444 | C2 | semidirect |
| 6. #14521443 | C2 | semidirect |
| 7. #14521440 | C2 | semidirect |
| 8. #14521437 | C2 | semidirect |
| 9. #14521436 | C2 | semidirect |
| 10. #97×D31 | C2 | semidirect |
| 11. C31×#496 | C2 | semidirect |
| 79. C8×D31 | D4 | semidirect |
| 137. #496 | D31 | semidirect |
| 174. C31 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758493 | 2 |
| C2×#11758489 | 2 |
| #14521598 | 2 |
| #14521597 | 2 |
| #14521444 | 2 |
| #14521443 | 2 |
| #14521440 | 2 |
| #14521437 | 2 |
| #14521436 | 2 |
| #97×D31 | 2 |
| C31×#496 | 2 |
| #3150 | 31 |