| order | 16380 |
| isoclinism | isoclinic class of D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C7×C9×C13 · Schur multiplier (H2) = C2 |
| direct product | C2×C7×C9×D5×C13 |
| unambiguous semidirect product | C5⋊(C22×C7×C9×C13) |
| unambiguous semidirect product | (C2×C5)⋊(C2×C7×C9×C13) |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8190 |
6552 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16380, 225);