Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13093970 |
| Sylow | C47 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
688 conjugacy classes — view the full character table.
| maximal subgroup of | #26133353, #26133354, #26133356, … |
| maximal normal subgroup of | #26133353, #26133354, #26133356, … |
| maximal quotient of | C22×#15688926, C22×#15688927, C22×#15688948, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 17622);