Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14521769 | C2 | semidirect |
| 2. D4×Dic62 | C2 | semidirect |
| 3. #14521407 | C2 | semidirect |
| 4. #14521400 | C2 | semidirect |
| 5. #14521343 | C2 | semidirect |
| 6. #14521329 | C2 | semidirect |
| 8. #14521254 | C2 | semidirect |
| 9. #14521179 | C2 | semidirect |
| 10. #14521146 | C2 | semidirect |
| 163. C31 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521769 | 2 |
| D4×Dic62 | 2 |
| #14521407 | 2 |
| #14521400 | 2 |
| #14521343 | 2 |
| #14521329 | 2 |
| #14521262 | 2 |
| #14521254 | 2 |
| #14521179 | 2 |
| #14521146 | 2 |
| C4×D8×C31 | 2 |
| #3367 | 31 |