Finite Group DatabasebetaFinite Group Databasebeta| order | 4864 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C8×#10597280 |
| Fitting | C8×M16×C19 ⋊ C2 |
| Sylow | C19 ⋊ C8×#100 |
542 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
808 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4864, 60127);