Finite Group DatabasebetaFinite Group Databasebeta| order | 36540 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×C9⋊#10596817 |
| unambiguous semidirect product | C9⋊(C7×#10596817) |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9135 |
2541 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36540, 123);