Finite Group DatabasebetaFinite Group Databasebeta| order | 1200 |
| isoclinism | isoclinic class of C3⋊#1035 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C22×C3⋊#1035 |
| unambiguous semidirect product | D25⋊(C2×Dic3) |
| Fitting | C22×C3×C25 ⋊ C4 |
| derived, Hall | C3×C25 ⋊ C22×C4 |
| Sylow | C25 ⋊ C22×Dic3 |
| Sylow | C3 ⋊ C22×#1035 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 300 |
96 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1200, 202);