Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#102×D47 |
| Fitting | C2×#102×C47 ⋊ C2 |
| Sylow | C47 ⋊ C22×#102 |
1072 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#102×D47, D47×#1762, #26214086, … |
| maximal normal subgroup of | C4×#102×D47, D47×#1762, #26214086, … |
| maximal quotient of | C2×D4⋊C8×D47, D47×#1486, C2×#20241811, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 12994);