Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
300 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 300 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 |
|---|---|---|
| 20. #11758465 | C4 | semidirect |
| 34. C2×C8×C31 | Q8 | semidirect |
| 50. C2×C31⋊C8 | Q8 | semidirect |
| 125. C31 | #1990 | semidirect |
| 141. C2×C8 | Dic62 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758465 | 2 |
| C2×C8×Dic31 | 2 |
| #14520918 | 2 |
| #14520812 | 2 |
| #14520811 | 2 |
| C31×#340 | 2 |
| #1990 | 31 |