Finite Group DatabasebetaFinite Group Databasebeta| order | 28476 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C113 · Schur multiplier (H2) = C1 |
| direct product | C113×Dic63 |
| unambiguous semidirect product | C7⋊(Dic9×C113) |
| unambiguous semidirect product | C9⋊(Dic7×C113) |
| derived, Hall | C7×C9 ⋊ C4×C113 |
| Hall | C7×C9×C113 ⋊ C4 |
| Hall | C9×C113 ⋊ Dic7 |
| Hall | C7×C113 ⋊ Dic9 |
| Sylow | C9 ⋊ Dic7×C113 |
| Sylow | C7 ⋊ Dic9×C113 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 28476 |
7458 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28476, 9);