Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | #427×D47 |
| Fitting | C47×#427 ⋊ C2 |
| Sylow | C47 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1382, #26131173, D47×#1384, … |
| maximal normal subgroup of | D47×#1382, #26131173, D47×#1384, … |
| maximal quotient of | D47×#1564, D47×#1568, #26185287, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13086);