Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#15689934 |
| Fitting | C2×H(5,𝔽2)×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
826 conjugacy classes — view the full character table.
| maximal subgroup of | #26232188, #26232194, #26232215, … |
| maximal normal subgroup of | #26232188, #26232194, #26232215, … |
| maximal quotient of | C2×#20251914, C2×#20251918, C2×#20251981, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 19270);