Finite Group DatabasebetaFinite Group Databasebeta| order | 26316 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×Dic17×C43⋊C3 |
| unambiguous semidirect product | (C43×Dic17)⋊C32 |
| unambiguous semidirect product | (C3×C43×Dic17)⋊C3 |
| derived, Hall | C17×C43 ⋊ C32×C4 |
| Hall | C3×C17×C43⋊C3 ⋊ C4 |
| Hall | C43×Dic17 ⋊ C32 |
| Sylow | C43 ⋊ C32×Dic17 |
| Sylow | C17 ⋊ C3×C4×C43⋊C3 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8772 |
1020 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26316, 44);