Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 2. #14521526 | C2 | semidirect |
| 4. #14521148 | C2 | semidirect |
| 5. #14521136 | C2 | semidirect |
| 6. #14521057 | C2 | semidirect |
| 8. #14521004 | C2 | semidirect |
| 9. C31×#427 | C2 | semidirect |
| 17. C2×#92470 | C4 | semidirect |
| 21. #11758464 | C22 | semidirect |
| 26. C31×#107 | C22 | semidirect |
| 27. C31×#106 | C22 | semidirect |
| 28. #11758403 | C22 | semidirect |
| 29. C8×Dic31 | C22 | semidirect |
| 30. #11758398 | C22 | semidirect |
| 42. C2×Dic62 | C2×C4 | semidirect |
| 44. C2×C8×C31 | C2×C4 | semidirect |
| 61. #92470 | C2×C4 | semidirect |
| 62. #92470 | C2×C4 | semidirect |
| 105. #427 | D31 | semidirect |
| 129. #107 | C2×D31 | semidirect |
| 130. #106 | C2×D31 | semidirect |
| 135. C31 | #2949 | semidirect |
| 152. C2×C8 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#92470 | 2 |
| #14521526 | 2 |
| #14521523 | 2 |
| #14521148 | 2 |
| #14521136 | 2 |
| #14521057 | 2 |
| #14521053 | 2 |
| #14521004 | 2 |
| C31×#427 | 2 |
| #2949 | 31 |