Finite Group DatabasebetaFinite Group Databasebeta| order | 36100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C25×D361 |
| unambiguous semidirect product | C361⋊(C22×C25) |
| unambiguous semidirect product | (C2×C361)⋊(C2×C25) |
| Fitting | C2×C25×C361 ⋊ C2 |
| derived, Sylow | C361 ⋊ C22×C25 |
| Hall | C25×C361 ⋊ C22 |
45 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18050 |
9100 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36100, 9);