Finite Group DatabasebetaFinite Group Databasebeta| order | 13950 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C25 · Schur multiplier (H2) = C3 |
| direct product | C2×C32×C31⋊C25 |
| unambiguous semidirect product | (C2×C32×C31)⋊C25 |
| derived, Sylow | C31 ⋊ C2×C32×C25 |
| Hall | C2×C32×C31 ⋊ C25 |
| Hall | C32×C31 ⋊ C2×C25 |
| Hall | C2×C31 ⋊ C32×C25 |
72 conjugacy classes of subgroups.
990 conjugacy classes — view the full character table.
| maximal subgroup of | C32×Dic31⋊C25, C3×C3⋊(Dic31⋊C25), C3×Dic3×C31⋊C25, … |
| maximal normal subgroup of | C32×Dic31⋊C25, C3×C3⋊(Dic31⋊C25), C3×Dic3×C31⋊C25, … |
| maximal quotient of | C32×C4×C31⋊C25, C22×C32×C31⋊C25 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13950, 36);