Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14521677 | C2 | semidirect |
| 3. #14521412 | C2 | semidirect |
| 4. #14521410 | C2 | semidirect |
| 5. #14521405 | C2 | semidirect |
| 6. #14521394 | C2 | semidirect |
| 7. #14521053 | C2 | semidirect |
| 8. #14521050 | C2 | semidirect |
| 9. C2×#11758409 | C2 | semidirect |
| 10. #14521004 | C2 | semidirect |
| 11. C31×#416 | C2 | semidirect |
| 24. #11758467 | C22 | semidirect |
| 25. #11758465 | C22 | semidirect |
| 29. C31×#103 | C22 | semidirect |
| 30. C31×#103 | C22 | semidirect |
| 31. C31×#102 | C22 | semidirect |
| 32. C31×#102 | C22 | semidirect |
| 33. #11758423 | C22 | semidirect |
| 34. #11758420 | C22 | semidirect |
| 37. #11758403 | C22 | semidirect |
| 38. C8×Dic31 | C22 | semidirect |
| 138. #416 | D31 | semidirect |
| 165. #103 | C2×D31 | semidirect |
| 166. #103 | C2×D31 | semidirect |
| 172. #102 | C2×D31 | semidirect |
| 173. #102 | C2×D31 | semidirect |
| 176. C31 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521677 | 2 |
| #14521613 | 2 |
| #14521412 | 2 |
| #14521410 | 2 |
| #14521405 | 2 |
| #14521394 | 2 |
| #14521053 | 2 |
| #14521050 | 2 |
| C2×#11758409 | 2 |
| #14521004 | 2 |
| C31×#416 | 2 |
| #3136 | 31 |