Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C439 ⋊ C2 |
| Sylow | C439 ⋊ #123 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
Polycyclic presentation:
2^5,439|c^2=d,b^a=bd,c^a=ce,f^a=f^438,f^c=f^4382204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243795, #123×D439, C2×#28380727, … |
| maximal normal subgroup of | #43243795, #123×D439, C2×#28380727, … |
| maximal quotient of | #43243465, #43243479, #43243481, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 130);