Finite Group DatabasebetaFinite Group Databasebeta| order | 26100 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×Dic2175 |
| unambiguous semidirect product | C3⋊(C3×Dic725) |
| derived | C3×C25×C29 ⋊ C3×C4 |
| Hall | C32×C25×C29 ⋊ C4 |
| Hall | C25×C29 ⋊ C3×Dic3 |
| Hall | C32×C29 ⋊ Dic25 |
| Hall | C32×C25 ⋊ Dic29 |
| Sylow | C29 ⋊ C3×Dic75 |
| Sylow | C25 ⋊ C3×Dic87 |
| Sylow | C32 ⋊ Dic725 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8700 |
6534 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26100, 44);