Finite Group DatabasebetaFinite Group Databasebeta| order | 31740 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5 · Schur multiplier (H2) = C1 |
| direct product | C5×#20263650 |
| derived, Hall | C232⋊C3 ⋊ C4×C5 |
| Hall | C5×C232⋊C3 ⋊ C4 |
| Hall | C5×C232 ⋊ Dic3 |
| Sylow | C232 ⋊ C5×Dic3 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1380 |
1240 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31740, 30);