Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#15689173 |
| Sylow | C47 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
1000 conjugacy classes — view the full character table.
| maximal subgroup of | #26105867, #26105873, #26105892, … |
| maximal normal subgroup of | #26105867, #26105873, #26105892, … |
| maximal quotient of | C2×#20243132, C2×C22⋊C8×Dic47, C2×#20243236, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13123);