Finite Group DatabasebetaFinite Group Databasebeta| order | 31168 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×C487⋊C8 |
| Sylow | C487 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15584 |
4900 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31168, 615);