Finite Group DatabasebetaFinite Group Databasebeta| order | 2100 |
| isoclinism | isoclinic class of C7⋊#1035 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×C7⋊#1035 |
| Fitting, Hall | C3×C7×C25 ⋊ C4 |
| derived, Hall | C7×C25 ⋊ C3×C4 |
| Hall | C3×C25 ⋊ Dic7 |
| Sylow | C25 ⋊ C3×Dic7 |
| Hall | C3×C7 ⋊ #1035 |
| Sylow | C7 ⋊ C3×#1035 |
36 conjugacy classes of subgroups.
| minimal degree | μ(G) = 35 |
| transitive degree | μt(G) = 525 |
156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2100, 21);