Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14521352 | C2 | semidirect |
| 4. #14521348 | C2 | semidirect |
| 5. #14521338 | C2 | semidirect |
| 6. #14521328 | C2 | semidirect |
| 7. #14521092 | C2 | semidirect |
| 8. #14521075 | C2 | semidirect |
| 11. C31×#427 | C2 | semidirect |
| 21. #11758467 | C22 | semidirect |
| 22. #11758465 | C22 | semidirect |
| 29. C31×#107 | C22 | semidirect |
| 30. C31×#107 | C22 | semidirect |
| 31. C31×#106 | C22 | semidirect |
| 32. C31×#106 | C22 | semidirect |
| 35. Dic31⋊C8 | C22 | semidirect |
| 36. Dic31⋊C8 | C22 | semidirect |
| 39. #11758396 | C22 | semidirect |
| 40. #11758395 | C22 | semidirect |
| 46. C2×D124 | Q8 | semidirect |
| 127. #427 | D31 | semidirect |
| 154. #107 | C2×D31 | semidirect |
| 155. #107 | C2×D31 | semidirect |
| 157. #106 | C2×D31 | semidirect |
| 158. #106 | C2×D31 | semidirect |
| 165. C31 | #3081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521677 | 2 |
| #14521523 | 2 |
| #14521352 | 2 |
| #14521348 | 2 |
| #14521338 | 2 |
| #14521328 | 2 |
| #14521092 | 2 |
| #14521075 | 2 |
| #14521053 | 2 |
| C2×#11758409 | 2 |
| C31×#427 | 2 |
| #3081 | 31 |