Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
532 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 532 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×#11758495 | C2 | semidirect |
| 3. C2×Q16×D31 | C2 | semidirect |
| 4. #14521624 | C2 | semidirect |
| 5. #14521442 | C2 | semidirect |
| 6. #14521441 | C2 | semidirect |
| 7. #14521434 | C2 | semidirect |
| 8. #14521433 | C2 | semidirect |
| 9. #14521427 | C2 | semidirect |
| 10. #14521003 | C2 | semidirect |
| 11. C31×#494 | C2 | semidirect |
| 127. #494 | D31 | semidirect |
| 161. C31 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758495 | 2 |
| C2×#11758496 | 2 |
| C2×Q16×D31 | 2 |
| #14521624 | 2 |
| #14521442 | 2 |
| #14521441 | 2 |
| #14521434 | 2 |
| #14521433 | 2 |
| #14521427 | 2 |
| #14521003 | 2 |
| C31×#494 | 2 |
| #3156 | 31 |