Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | AGL(1,ℤ/8)×Dic47 |
| Sylow | C47 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
550 conjugacy classes — view the full character table.
| maximal subgroup of | #453×Dic47, #26222155, #454×Dic47, … |
| maximal normal subgroup of | #453×Dic47, #26222155, #454×Dic47, … |
| maximal quotient of | AGL(1,ℤ/8)×C47⋊C8, #26185863, #26185886, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13320);