Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#15689938 |
| Fitting | C2×2−1+4×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#578 |
1408 conjugacy classes of subgroups.
826 conjugacy classes — view the full character table.
| maximal subgroup of | #26232196, #26232199, #26232223, … |
| maximal normal subgroup of | #26232196, #26232199, #26232223, … |
| maximal quotient of | C2×#20251918, C2×#20251921, C2×#20251986, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 19275);