Finite Group DatabasebetaFinite Group Databasebeta| order | 18180 |
| isoclinism | isoclinic class of D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C101 · Schur multiplier (H2) = C1 |
| direct product | C9×Dic5×C101 |
| derived, Sylow | C5 ⋊ C4×C9×C101 |
| Hall | C5×C9×C101 ⋊ C4 |
| Hall | C5×C101 ⋊ C4×C9 |
| Hall | C5×C9 ⋊ C4×C101 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18180 |
7272 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18180, 4);