Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14521677 | C2 | semidirect |
| 3. #14521357 | C2 | semidirect |
| 4. #14521350 | C2 | semidirect |
| 5. #14521340 | C2 | semidirect |
| 6. #14521335 | C2 | semidirect |
| 7. #14521091 | C2 | semidirect |
| 8. C2×#11758405 | C2 | semidirect |
| 11. C31×#424 | C2 | semidirect |
| 46. #92495 | Q8 | semidirect |
| 127. #424 | D31 | semidirect |
| 164. C31 | #3084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521677 | 2 |
| #14521529 | 2 |
| #14521357 | 2 |
| #14521350 | 2 |
| #14521340 | 2 |
| #14521335 | 2 |
| #14521091 | 2 |
| C2×#11758405 | 2 |
| #14521051 | 2 |
| #14521046 | 2 |
| C31×#424 | 2 |
| #3084 | 31 |