Finite Group DatabasebetaFinite Group Databasebeta| order | 4864 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | D19×#1299 |
| Fitting | C19×#1299 ⋊ C2 |
| Sylow | C19 ⋊ C2×#1299 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
418 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4864, 59726);