Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#15689172 |
| Sylow | C47 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #26122367, #26122369, #26122374, … |
| maximal normal subgroup of | #26122367, #26122369, #26122374, … |
| maximal quotient of | C2×#20242140, #26185262, C2×#20242155, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13117);