Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#15688891 |
| Sylow | C47 ⋊ C2×#343 |
432 conjugacy classes of subgroups.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #343×Dic47, C4×#15688891, #26121544, … |
| maximal normal subgroup of | #343×Dic47, C4×#15688891, #26121544, … |
| maximal quotient of | C2×#20241230, #26105874, #26105877, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 4245);