Finite Group DatabasebetaFinite Group Databasebeta| order | 21294 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9 · Schur multiplier (H2) = C13 |
| direct product | C7×#15690149 |
| derived, Sylow | C132 ⋊ C2×C7×C9 |
| Hall | C7×#13095201 ⋊ C2 |
| Hall | C7×C13⋊D13 ⋊ C9 |
| Hall | #13095201 ⋊ C2×C7 |
| Hall | C7×C132 ⋊ C2×C9 |
| Hall | C13⋊D13 ⋊ C7×C9 |
80 conjugacy classes of subgroups.
| transitive degree | μt(G) = 819 |
714 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21294, 85);