Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C4×C22⋊C4×D47 |
| Fitting | C4×C22⋊C4×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
1000 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1282, #26105948, D47×#1284, … |
| maximal normal subgroup of | D47×#1282, #26105948, D47×#1284, … |
| maximal quotient of | C4×#95×D47, C4×#15688970, C4×C22⋊C4×Dic47, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6838);