Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#15688893 |
| Sylow | C47 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #344×Dic47, C4×#15688893, #26121489, … |
| maximal normal subgroup of | #344×Dic47, C4×#15688893, #26121489, … |
| maximal quotient of | C2×#20241232, #26105908, #26105911, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 4251);