Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×Q8×C439 ⋊ C2 |
| Sylow | C439 ⋊ #137 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
Polycyclic presentation:
2^5,439|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^438,d^b=de2201 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243780, #43243781, #43243785, … |
| maximal normal subgroup of | #43243780, #43243781, #43243785, … |
| maximal quotient of | #43243603, #43243613, #43243644, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 177);