Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#15689198 |
| Fitting | C2×C22⋊C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#436 |
552 conjugacy classes of subgroups.
976 conjugacy classes — view the full character table.
| maximal subgroup of | #26125599, #26214609, #26214610, … |
| maximal normal subgroup of | #26125599, #26214609, #26214610, … |
| maximal quotient of | C2×#20242270, C2×#20242275, C2×#20242281, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13194);