Finite Group DatabasebetaFinite Group Databasebeta| order | 21420 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C9×C17 · Schur multiplier (H2) = C2 |
| direct product | C22×C5×C17×C7⋊C9 |
| derived, Sylow | C7 ⋊ C22×C5×C9×C17 |
| Hall | C22×C5×C7×C17 ⋊ C9 |
| Hall | C5×C7×C17 ⋊ C22×C9 |
| Hall | C22×C7×C17 ⋊ C5×C9 |
| Hall | C22×C5×C7 ⋊ C9×C17 |
| Hall | C7×C17 ⋊ C22×C5×C9 |
| Hall | C5×C7 ⋊ C22×C9×C17 |
| Hall | C22×C7 ⋊ C5×C9×C17 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 21420 |
5100 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21420, 113);