Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#15688889 |
| Sylow | C47 ⋊ C2×#342 |
680 conjugacy classes of subgroups.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #342×Dic47, C4×#15688889, #26121538, … |
| maximal normal subgroup of | #342×Dic47, C4×#15688889, #26121538, … |
| maximal quotient of | C2×#20241230, #26105871, #26105877, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 4239);