Finite Group DatabasebetaFinite Group Databasebeta| order | 25050 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C25 · Schur multiplier (H2) = C1 |
| direct product | C3×C25×D167 |
| unambiguous semidirect product | C167⋊(C2×C3×C25) |
| Fitting, Hall | C3×C25×C167 ⋊ C2 |
| derived, Sylow | C167 ⋊ C2×C3×C25 |
| Hall | C25×C167 ⋊ C2×C3 |
| Hall | C3×C167 ⋊ C2×C25 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12525 |
6375 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25050, 2);