Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C439 ⋊ C2 |
| Sylow | C439 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
Polycyclic presentation:
2^5,439|a^2=d,d^2=e,c^b=ce,f^c=f^4383524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243387, #43243389, #43243719, … |
| maximal normal subgroup of | #43243387, #43243389, #43243719, … |
| maximal quotient of | #43243558, #43243559, #43243569, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 152);