Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
292 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 8. C4×Q8×C31 | C4 | semidirect |
| 94. C4×Q8 | Dic31 | semidirect |
| 104. C31 | #1805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊(C31⋊C8) | 2 |
| C2×#11758423 | 2 |
| #14520915 | 2 |
| #14520811 | 2 |
| C2×C4×Q8×C31 | 2 |
| #1805 | 31 |