Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×Q16×D47 |
| Fitting | C4×Q16×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×C4×Q16 |
488 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1332, #26126029, D47×#1334, … |
| maximal normal subgroup of | D47×#1332, #26126029, D47×#1334, … |
| maximal quotient of | C8×Q16×D47, D47×#1584, D47×#1591, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13271);