Finite Group DatabasebetaFinite Group Databasebeta| order | 19530 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×#16840863 |
| derived, Hall | C7×C31 ⋊ C2×C5×C9 |
| Hall | C5×#14519870 ⋊ C2 |
| Hall | C5×D217 ⋊ C9 |
| Hall | #14519870 ⋊ C2×C5 |
| Hall | C5×C7×C31 ⋊ C2×C9 |
| Hall | D217 ⋊ C5×C9 |
| Hall | C5×C31 ⋊ D7⋊C9 |
| Hall | C5×C7 ⋊ D31⋊C9 |
| Sylow | C31 ⋊ C5×D7⋊C9 |
| Sylow | C7 ⋊ C5×D31⋊C9 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9765 |
630 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19530, 43);