Finite Group DatabasebetaFinite Group Databasebeta| order | 21300 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25×C71 · Schur multiplier (H2) = C2 |
| direct product | C2×D3×C25×C71 |
| unambiguous semidirect product | C3⋊(C22×C25×C71) |
| unambiguous semidirect product | (C2×C3)⋊(C2×C25×C71) |
| Fitting | C2×C3×C25×C71 ⋊ C2 |
| derived, Sylow | C3 ⋊ C22×C25×C71 |
| Hall | C3×C25×C71 ⋊ C22 |
| Hall | C3×C71 ⋊ C22×C25 |
| Hall | C3×C25 ⋊ C22×C71 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10650 |
10650 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21300, 35);