Finite Group DatabasebetaFinite Group Databasebeta| order | 36100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C361 · Schur multiplier (H2) = C1 |
| direct product | C5×Dic5×C361 |
| derived | C5 ⋊ C4×C5×C361 |
| Hall | C52×C361 ⋊ C4 |
| Sylow | C52 ⋊ C4×C361 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7220 |
14440 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36100, 14);