Finite Group DatabasebetaFinite Group Databasebeta| order | 13916 |
| isoclinism | isoclinic class of C71⋊C7 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C72 · Schur multiplier (H2) = C7 |
| direct product | C4×C7×C71⋊C7 |
| unambiguous semidirect product | (C4×C71)⋊C72 |
| unambiguous semidirect product | (C4×C7×C71)⋊C7 |
| Fitting | C4×C7×C71 ⋊ C7 |
| derived, Sylow | C71 ⋊ C4×C72 |
| Hall | C4×C71 ⋊ C72 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1988 |
476 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13916, 18);