Finite Group DatabasebetaFinite Group Databasebeta| order | 21294 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C7×D13×C13⋊C9 |
| derived, Sylow | C132 ⋊ C2×C7×C9 |
| Hall | C7×C13×C13⋊C9 ⋊ C2 |
| Hall | C7×C13×D13 ⋊ C9 |
| Hall | C13×C13⋊C9 ⋊ C2×C7 |
| Hall | C7×C132 ⋊ C2×C9 |
| Hall | C13×D13 ⋊ C7×C9 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1638 |
1176 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21294, 89);