Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 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×#11758492 | C2 | semidirect |
| 3. C4×Q8×D31 | C2 | semidirect |
| 4. #14521270 | C2 | semidirect |
| 5. #14521269 | C2 | semidirect |
| 6. #14521260 | C2 | semidirect |
| 7. #14521259 | C2 | semidirect |
| 8. #14521246 | C2 | semidirect |
| 9. #14521071 | C2 | semidirect |
| 10. #14521047 | C2 | semidirect |
| 11. C31×#460 | C2 | semidirect |
| 51. Q8×D31 | D4 | semidirect |
| 133. C4×C31 | #137 | semidirect |
| 150. #460 | D31 | semidirect |
| 190. C31 | #3037 | semidirect |
| 285. C4 | #11758492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758492 | 2 |
| #14521597 | 2 |
| C4×Q8×D31 | 2 |
| #14521270 | 2 |
| #14521269 | 2 |
| #14521260 | 2 |
| #14521259 | 2 |
| #14521246 | 2 |
| #14521071 | 2 |
| #14521047 | 2 |
| C31×#460 | 2 |
| #3037 | 31 |