Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14521351 | C2 | semidirect |
| 4. #14521347 | C2 | semidirect |
| 5. #14521337 | C2 | semidirect |
| 6. #14521327 | C2 | semidirect |
| 7. #14521091 | C2 | semidirect |
| 8. #14521085 | C2 | semidirect |
| 9. #14521077 | C2 | semidirect |
| 24. #11758467 | C22 | semidirect |
| 25. #11758465 | C22 | semidirect |
| 33. #11758406 | C22 | semidirect |
| 34. #11758405 | C22 | semidirect |
| 35. Dic31⋊C8 | C22 | semidirect |
| 36. Dic31⋊C8 | C22 | semidirect |
| 37. #11758396 | C22 | semidirect |
| 38. #11758396 | C22 | semidirect |
| 39. #11758395 | C22 | semidirect |
| 40. #11758395 | C22 | semidirect |
| 44. C2×D4×C31 | Q8 | semidirect |
| 165. C31 | #3081 | semidirect |
| 170. C2×D4 | Dic62 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521677 | 2 |
| #14521524 | 2 |
| #14521351 | 2 |
| #14521347 | 2 |
| #14521337 | 2 |
| #14521327 | 2 |
| #14521091 | 2 |
| #14521085 | 2 |
| #14521077 | 2 |
| C2×#11758420 | 2 |
| C31×#418 | 2 |
| #3081 | 31 |