Finite Group DatabasebetaFinite Group Databasebeta| order | 25664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#15692008 |
| unambiguous semidirect product | #13107944⋊(C2×C8) |
| Fitting | C2×C4×C401 ⋊ C8 |
| derived, Sylow | C401 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3208 |
464 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25664, 1659);