Finite Group DatabasebetaFinite Group Databasebeta| order | 9940 |
| isoclinism | isoclinic class of C71⋊C7 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C7 · Schur multiplier (H2) = C1 |
| direct product | C4×C5×C71⋊C7 |
| unambiguous semidirect product | (C4×C5×C71)⋊C7 |
| Fitting, Hall | C4×C5×C71 ⋊ C7 |
| derived, Sylow | C71 ⋊ C4×C5×C7 |
| Hall | C5×C71 ⋊ C4×C7 |
| Hall | C4×C71 ⋊ C5×C7 |
24 conjugacy classes of subgroups.
340 conjugacy classes — view the full character table.
| maximal subgroup of | C3×C4×C5×C71⋊C7, C5×Dic3×C71⋊C7 |
| maximal normal subgroup of | C3×C4×C5×C71⋊C7 |
| maximal quotient of | C3×C4×C5×C71⋊C7, C5×Dic3×C71⋊C7 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9940, 2);