Finite Group DatabasebetaFinite Group Databasebeta| order | 21568 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#24924953 |
| Fitting | C2×C42×C337 ⋊ C2 |
| Sylow | C337 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10784 |
5404 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21568, 1074);