Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14521774 | C2 | semidirect |
| 4. #14521401 | C2 | semidirect |
| 5. #14521355 | C2 | semidirect |
| 7. #14521260 | C2 | semidirect |
| 8. #14521173 | C2 | semidirect |
| 9. #14521143 | C2 | semidirect |
| 156. C31 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521774 | 2 |
| #14521769 | 2 |
| #14521402 | 2 |
| #14521401 | 2 |
| #14521355 | 2 |
| #14521270 | 2 |
| #14521260 | 2 |
| #14521173 | 2 |
| #14521143 | 2 |
| C4×#92480 | 2 |
| C31×#474 | 2 |
| #3364 | 31 |