Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#13094048 |
| Fitting | C4×D8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
688 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#13094048, #26185695, #26185709, … |
| maximal normal subgroup of | C8×#13094048, #26185695, #26185709, … |
| maximal quotient of | C8×#13094048, #26185856, #26185878, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13313);