Finite Group DatabasebetaFinite Group Databasebeta| order | 21660 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×#20297971 |
| derived, Hall | C192⋊C5 ⋊ C3×C4 |
| Hall | C3×C192⋊C5 ⋊ C4 |
| Hall | C3×C192 ⋊ Dic5 |
| Sylow | C192 ⋊ C3×Dic5 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1140 |
402 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21660, 45);