Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊(C439⋊C8) |
| Sylow | C439 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
Polycyclic presentation:
2^5,439|a^2=d,d^2=e,b^a=bc,f^a=f^4383524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243327, #43243328, #43243329, … |
| maximal normal subgroup of | #43243327, #43243328, #43243329, … |
| maximal quotient of | #43243328, #43243330, D4⋊(C439⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 59);