Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
244 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14521602 | C2 | semidirect |
| 4. #14520820 | C2 | semidirect |
| 5. #14520810 | C2 | semidirect |
| 6. #14520805 | C2 | semidirect |
| 27. C2×Q8×C31 | Q8 | semidirect |
| 29. C2×D4×C31 | Q8 | semidirect |
| 125. C31 | #2031 | semidirect |
| 131. C2×Q8 | Dic62 | semidirect |
| 133. C2×D4 | Dic62 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521602 | 2 |
| C2×#11758425 | 2 |
| #14521023 | 2 |
| #14520820 | 2 |
| #14520810 | 2 |
| #14520805 | 2 |
| C31×#421 | 2 |
| #2031 | 31 |