Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C4×C439 ⋊ C2 |
| Sylow | C439 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
Polycyclic presentation:
2^5,439|a^2=e,c^2=e,b^a=bd,f^b=f^438,f^c=f^4382210 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243684, #43243686, #43243689, … |
| maximal normal subgroup of | #43243684, #43243686, #43243689, … |
| maximal quotient of | #43243451, C4⋊C4×Dic439, #43243475, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 108);