Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
348 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14521774 | C2 | semidirect |
| 3. #14521402 | C2 | semidirect |
| 4. #14521347 | C2 | semidirect |
| 5. #14521331 | C2 | semidirect |
| 6. #14521270 | C2 | semidirect |
| 8. C8×Dic62 | C2 | semidirect |
| 9. C4×Dic124 | C2 | semidirect |
| 10. #14521140 | C2 | semidirect |
| 158. C31 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521785 | 2 |
| #14521774 | 2 |
| #14521402 | 2 |
| #14521347 | 2 |
| #14521331 | 2 |
| #14521270 | 2 |
| #14521246 | 2 |
| C8×Dic62 | 2 |
| C4×Dic124 | 2 |
| #14521140 | 2 |
| C31×#486 | 2 |
| #3365 | 31 |