Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14521604 | C2 | semidirect |
| 3. #14521388 | C2 | semidirect |
| 4. #14521344 | C2 | semidirect |
| 5. #14521340 | C2 | semidirect |
| 6. #14521251 | C2 | semidirect |
| 8. #14521156 | C2 | semidirect |
| 9. #14521152 | C2 | semidirect |
| 10. #14521105 | C2 | semidirect |
| 11. C31×#462 | C2 | semidirect |
| 137. #462 | D31 | semidirect |
| 179. C31 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521604 | 2 |
| C4×#92499 | 2 |
| #14521388 | 2 |
| #14521344 | 2 |
| #14521340 | 2 |
| #14521251 | 2 |
| #14521210 | 2 |
| #14521156 | 2 |
| #14521152 | 2 |
| #14521105 | 2 |
| C31×#462 | 2 |
| #3116 | 31 |