Finite Group DatabasebetaFinite Group Databasebeta| order | 17892 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C7 · Schur multiplier (H2) = C1 |
| derived | C3×C71 ⋊ C3×C4×C7 |
| Hall | C32×C71⋊C7 ⋊ C4 |
| Hall | C3×Dic213 ⋊ C7 |
| Hall | C32×C71 ⋊ C4×C7 |
| Hall | C71⋊C7 ⋊ C3×Dic3 |
| Sylow | C71 ⋊ C3×C7×Dic3 |
| Sylow | C32 ⋊ Dic71⋊C7 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 852 |
216 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17892, 47);