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×#11758496 | C2 | semidirect |
| 2. C2×#11758493 | C2 | semidirect |
| 3. #14521600 | C2 | semidirect |
| 4. #14521598 | C2 | semidirect |
| 5. #14521442 | C2 | semidirect |
| 6. #14521441 | C2 | semidirect |
| 7. #14521439 | C2 | semidirect |
| 8. #14521438 | C2 | semidirect |
| 9. #14521435 | C2 | semidirect |
| 10. #97×D31 | C2 | semidirect |
| 11. C31×#497 | C2 | semidirect |
| 79. C8×D31 | D4 | semidirect |
| 134. #497 | 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×#11758496 | 2 |
| C2×#11758493 | 2 |
| #14521600 | 2 |
| #14521598 | 2 |
| #14521442 | 2 |
| #14521441 | 2 |
| #14521439 | 2 |
| #14521438 | 2 |
| #14521435 | 2 |
| #97×D31 | 2 |
| C31×#497 | 2 |
| #3150 | 31 |