Finite Group DatabasebetaFinite Group Databasebeta| order | 32445 |
| automorphism | ? |
| homology | Abelianization (H1) = C5×C9×C103 · Schur multiplier (H2) = C1 |
| direct product | C5×C7⋊C9×C103 |
| unambiguous semidirect product | C7⋊(C5×C9×C103) |
| unambiguous semidirect product | (C5×C7)⋊(C9×C103) |
| derived, Sylow | C7 ⋊ C5×C9×C103 |
| Hall | C5×C7×C103 ⋊ C9 |
| Hall | C7×C103 ⋊ C5×C9 |
| Hall | C5×C7 ⋊ C9×C103 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32445 |
7725 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32445, 3);