Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#15689240 |
| Sylow | C47 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | #26131515, #26131517, #26131522, … |
| maximal normal subgroup of | #26131515, #26131517, #26131522, … |
| maximal quotient of | C2×D8×C47⋊C8, C2×SD16×C47⋊C8, C2×Q16×C47⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13400);