Finite Group DatabasebetaFinite Group Databasebeta| order | 14700 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C52×C49 · Schur multiplier (H2) = C2×C5 |
| direct product | C2×C52×D3×C49 |
| unambiguous semidirect product | C3⋊(C22×C52×C49) |
| unambiguous semidirect product | (C2×C3)⋊(C2×C52×C49) |
| Fitting | C2×C3×C52×C49 ⋊ C2 |
| derived, Sylow | C3 ⋊ C22×C52×C49 |
| Hall | C3×C52×C49 ⋊ C22 |
| Hall | C3×C49 ⋊ C22×C52 |
| Hall | C3×C52 ⋊ C22×C49 |
240 conjugacy classes of subgroups.
7350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14700, 193);