Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#15688887 |
| Sylow | C47 ⋊ C2×#341 |
392 conjugacy classes of subgroups.
976 conjugacy classes — view the full character table.
| maximal subgroup of | #341×Dic47, C4×#15688887, #26121466, … |
| maximal normal subgroup of | #341×Dic47, C4×#15688887, #26121466, … |
| maximal quotient of | C2×#20241222, #26105736, #26105743, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 4233);