Finite Group DatabasebetaFinite Group Databasebeta| order | 26450 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C23×C25 · Schur multiplier (H2) = C1 |
| direct product | C23×C25×D23 |
| unambiguous semidirect product | C23⋊(C2×C23×C25) |
| Fitting, Hall | C232×C25 ⋊ C2 |
| derived | C23 ⋊ C2×C23×C25 |
| Sylow | C232 ⋊ C2×C25 |
57 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1150 |
7475 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26450, 12);