Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
484 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 145 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×#11758528 | C2 | semidirect |
| 2. C2×C4×Dic62 | C2 | semidirect |
| 3. #14521268 | C2 | semidirect |
| 4. #14521256 | C2 | semidirect |
| 5. #14521246 | C2 | semidirect |
| 6. #14521073 | C2 | semidirect |
| 7. #14521050 | C2 | semidirect |
| 49. C2×Dic62 | D4 | semidirect |
| 111. C4×C31 | #137 | semidirect |
| 154. C31 | #3037 | semidirect |
| 233. C4 | #11758528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758528 | 2 |
| C2×C4×Dic62 | 2 |
| #14521268 | 2 |
| #14521256 | 2 |
| #14521246 | 2 |
| #14521073 | 2 |
| #14521050 | 2 |
| C31×#532 | 2 |
| #3037 | 31 |