Finite Group DatabasebetaFinite Group Databasebeta| order | 21568 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#14582115 |
| unambiguous semidirect product | #13062438⋊(C2×C8) |
| Fitting | C2×C4×C337 ⋊ C8 |
| derived, Sylow | C337 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2696 |
400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21568, 1659);