Finite Group DatabasebetaFinite Group Databasebeta| order | 14700 |
| isoclinism | isoclinic class of #3874⋊C2 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C49 · Schur multiplier (H2) = C2 |
| direct product | C49×#3874⋊C2 |
| unambiguous semidirect product | #3874⋊(C2×C49) |
| unambiguous semidirect product | ((C5⋊D5)⋊C3)⋊(C2×C49) |
| Fitting, Hall | C52×C49 ⋊ C2×D3 |
| derived, Hall | C52⋊C3 ⋊ C22×C49 |
| Hall | C49×C52⋊C3 ⋊ C22 |
| Sylow | C52 ⋊ C2×D3×C49 |
90 conjugacy classes of subgroups.
686 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14700, 117);