Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#15689521 |
| Sylow | C47 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
1516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26111540, #26111542, #26115493, … |
| maximal normal subgroup of | #26111540, #26111542, #26115493, … |
| maximal quotient of | C2×#20243545, C2×#20244116, C2×#20244349, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15009);