Finite Group DatabasebetaFinite Group Databasebeta| order | 18850 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C25×C29 · Schur multiplier (H2) = C1 |
| direct product | C25×D13×C29 |
| unambiguous semidirect product | C13⋊(C2×C25×C29) |
| Fitting, Hall | C13×C25×C29 ⋊ C2 |
| derived, Sylow | C13 ⋊ C2×C25×C29 |
| Hall | C13×C29 ⋊ C2×C25 |
| Hall | C13×C25 ⋊ C2×C29 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9425 |
5800 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C25×C29×#261, C25×#13094089, C25×D13×D29, … |
| maximal normal subgroup of | C25×C29×#261, C25×#13094089, C25×D13×D29, … |
| maximal quotient of | C25×C29×Dic13, C2×C25×D13×C29 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18850, 3);