Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#15689920 |
| Fitting | C2×#135×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
688 conjugacy classes — view the full character table.
| maximal subgroup of | #26131952, #26131955, #26131957, … |
| maximal normal subgroup of | #26131952, #26131955, #26131957, … |
| maximal quotient of | C2×#20251903, C2×#20251976, C2×#20252184, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 19254);