Finite Group DatabasebetaFinite Group Databasebeta| order | 20864 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D4×C4⋊Dic163 |
| Sylow | C163 ⋊ D4×C4⋊C4 |
776 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10432 |
3290 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20864, 7412);