Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14521768 | C2 | semidirect |
| 2. #14521440 | C2 | semidirect |
| 3. #14521268 | C2 | semidirect |
| 5. #14521257 | C2 | semidirect |
| 6. #14521179 | C2 | semidirect |
| 7. #14521150 | C2 | semidirect |
| 8. C4×Dic124 | C2 | semidirect |
| 137. C31 | #3402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521768 | 2 |
| #14521440 | 2 |
| #14521268 | 2 |
| #14521262 | 2 |
| #14521257 | 2 |
| #14521179 | 2 |
| #14521150 | 2 |
| C4×Dic124 | 2 |
| C31×#495 | 2 |
| #3402 | 31 |