Finite Group DatabasebetaFinite Group Databasebeta| order | 16425 |
| isoclinism | isoclinic class of C73⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C25 · Schur multiplier (H2) = C3 |
| Fitting | C3×C25×C73 ⋊ C3 |
| derived, Sylow | C73 ⋊ C32×C25 |
| Hall | C25×C73 ⋊ C32 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5475 |
2025 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×C25×D73⋊C3, C3×C25⋊(D73⋊C3), C3×D25×C73⋊C3, … |
| maximal normal subgroup of | C3×C25×D73⋊C3, C3×C25⋊(D73⋊C3), C3×D25×C73⋊C3, … |
| maximal quotient of | C2×C3×C25×C73⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16425, 5);