Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#15689937 |
| Fitting | C2×#135×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#578 |
1408 conjugacy classes of subgroups.
688 conjugacy classes — view the full character table.
| maximal subgroup of | #26131969, #26131977, #26132006, … |
| maximal normal subgroup of | #26131969, #26131977, #26132006, … |
| maximal quotient of | C2×#20251917, C2×#20251985, C2×#20252224, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 19274);