Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C2×C22⋊C8×D47 |
| Fitting | C2×C22⋊C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C22×C22⋊C8 |
1072 conjugacy classes of subgroups.
1000 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1280, #26105870, #26105888, … |
| maximal normal subgroup of | D47×#1280, #26105870, #26105888, … |
| maximal quotient of | C2×#323×D47, C2×#324×D47, D47×#1458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 12940);