Finite Group DatabasebetaFinite Group Databasebeta| order | 17892 |
| isoclinism | isoclinic class of C71⋊C7 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C4×C9×C71⋊C7 |
| unambiguous semidirect product | (C4×C71)⋊(C7×C9) |
| unambiguous semidirect product | (C4×C9×C71)⋊C7 |
| Fitting, Hall | C4×C9×C71 ⋊ C7 |
| derived, Sylow | C71 ⋊ C4×C7×C9 |
| Hall | C9×C71 ⋊ C4×C7 |
| Hall | C4×C71 ⋊ C7×C9 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2556 |
612 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17892, 2);