Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
1088 conjugacy classes of subgroups; only the 341 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 341 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. C2×#11758503 | C2 | semidirect |
| 2. #14520912 | C2 | semidirect |
| 3. #14520909 | C2 | semidirect |
| 5. C4×C22⋊Dic31 | C2 | semidirect |
| 9. C23×C4×C31 | C4 | semidirect |
| 17. C2×C4⋊Dic31 | C22 | semidirect |
| 18. C2×C4×Dic31 | C22 | semidirect |
| 19. C31⋊#95 | C22 | semidirect |
| 57. C2×C4×C31 | C22⋊C4 | semidirect |
| 73. C22×C31 | #117 | semidirect |
| 94. C23×C4 | Dic31 | semidirect |
| 105. C31 | #2280 | semidirect |
| 145. C2×C4 | C22⋊Dic31 | semidirect |
| 157. C22 | #11758503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758503 | 2 |
| #14520912 | 2 |
| #14520909 | 2 |
| #14520905 | 2 |
| C4×C22⋊Dic31 | 2 |
| C24×C4×C31 | 2 |
| #2280 | 31 |