Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
430 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 430 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. #14521597 | C2 | semidirect |
| 2. C4×#92497 | C2 | semidirect |
| 3. #14521372 | C2 | semidirect |
| 4. #14521335 | C2 | semidirect |
| 5. #14521329 | C2 | semidirect |
| 6. #14521246 | C2 | semidirect |
| 7. #14521191 | C2 | semidirect |
| 8. #14521161 | C2 | semidirect |
| 9. #14521146 | C2 | semidirect |
| 10. #14521105 | C2 | semidirect |
| 11. C31×#459 | C2 | semidirect |
| 91. D4×C31 | #41 | semidirect |
| 114. Dic62 | #41 | semidirect |
| 145. #459 | D31 | semidirect |
| 187. C31 | #3115 | semidirect |
| 241. D4 | #92497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521597 | 2 |
| C4×#92497 | 2 |
| #14521372 | 2 |
| #14521335 | 2 |
| #14521329 | 2 |
| #14521246 | 2 |
| #14521191 | 2 |
| #14521161 | 2 |
| #14521146 | 2 |
| #14521105 | 2 |
| C31×#459 | 2 |
| #3115 | 31 |