| order | 30450 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C25 · Schur multiplier (H2) = C1 |
| direct product | D3×C25×C29⋊C7 |
| unambiguous semidirect product | C3⋊(C2×C25×C29⋊C7) |
| unambiguous semidirect product | (D3×C29)⋊(C7×C25) |
| unambiguous semidirect product | (D3×C25×C29)⋊C7 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2175 |
825 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30450, 22);