Finite Group DatabasebetaFinite Group Databasebeta| order | 11970 |
| isoclinism | isoclinic class of D19⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×C7×#4294⋊C2 |
| unambiguous semidirect product | #4294⋊(C2×C5×C7) |
48 conjugacy classes of subgroups.
945 conjugacy classes — view the full character table.
| maximal subgroup of | C5×D7×#4294⋊C2, C7×D5×#4294⋊C2, D35×#4294⋊C2, … |
| maximal normal subgroup of | C5×D7×#4294⋊C2, C7×D5×#4294⋊C2, D35×#4294⋊C2, … |
| maximal quotient of | C5×C7×#4294⋊C4, C2×C5×C7×#4294⋊C2 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11970, 21);