Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#15688953 |
| Sylow | C47 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
1516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26103980, #26103981, #26103982, … |
| maximal normal subgroup of | #26103980, #26103981, #26103982, … |
| maximal quotient of | C2×#20241460, C2×#20241462, #26127863, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6302);