Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#15689181 |
| Sylow | C47 ⋊ C2×#433 |
412 conjugacy classes of subgroups.
976 conjugacy classes — view the full character table.
| maximal subgroup of | #26125481, C4×#15689181, #26214426, … |
| maximal normal subgroup of | #26125481, C4×#15689181, #26214426, … |
| maximal quotient of | C2×#20243138, C2×#20243156, C2×#20243244, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13133);