Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×D8×D47 |
| Fitting | C4×D8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×C4×D8 |
616 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1331, #26126025, D47×#1333, … |
| maximal normal subgroup of | D47×#1331, #26126025, D47×#1333, … |
| maximal quotient of | C8×D8×D47, D47×#1581, D47×#1589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13257);