Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689124 |
| Sylow | C47 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #26121752, #26121754, #26121795, … |
| maximal normal subgroup of | #26121752, #26121754, #26121795, … |
| maximal quotient of | C2×#20241775, C2×#20241827, #26182739, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13022);