Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#15689171 |
| Sylow | C47 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #26122363, #26122365, #26122366, … |
| maximal normal subgroup of | #26122363, #26122365, #26122366, … |
| maximal quotient of | C2×#20242138, C2×#20242141, #26185261, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13116);