Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#13094054 |
| Sylow | C47 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #26110893, #26110895, #26110907, … |
| maximal normal subgroup of | #26110893, #26110895, #26110907, … |
| maximal quotient of | C8×#13094054, #26185870, #26185896, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13327);