Finite Group DatabasebetaFinite Group Databasebeta| order | 35350 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C25 · Schur multiplier (H2) = C1 |
| direct product | C7×C25×D101 |
| Fitting, Hall | C7×C25×C101 ⋊ C2 |
| derived, Sylow | C101 ⋊ C2×C7×C25 |
| Hall | C25×C101 ⋊ C2×C7 |
| Hall | C7×C101 ⋊ C2×C25 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17675 |
9100 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35350, 3);