Finite Group DatabasebetaFinite Group Databasebeta| order | 1400 |
| isoclinism | isoclinic class of C7⋊#1035 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
| direct product | C2×C7⋊#1035 |
| unambiguous semidirect product | (C2×C7)⋊#1035 |
| unambiguous semidirect product | D25⋊Dic7 |
| Fitting | C2×C7×C25 ⋊ C4 |
| derived, Hall | C7×C25 ⋊ C2×C4 |
| Sylow | C25 ⋊ C2×Dic7 |
| Sylow | C7 ⋊ C2×#1035 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 350 |
104 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1400, 35);