Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#135×D47 |
| Fitting | C2×#135×C47 ⋊ C2 |
| Sylow | C47 ⋊ C22×#135 |
1504 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | #26131931, #26131935, D47×#1876, … |
| maximal normal subgroup of | #26131931, #26131935, D47×#1876, … |
| maximal quotient of | C2×#416×D47, C2×#427×D47, C2×C4×D8×D47, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 19234);