Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #131×C157 ⋊ C2 |
| Sylow | C157 ⋊ #578 |
248 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=f,b^2=f,e^2=f,b^a=be,e^a=ef,g^a=g^156,e^b=ef,g^b=g^156,d^c=df1582 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34102098, #34102102, #34102112, … |
| maximal normal subgroup of | #34102098, #34102102, #34102112, … |
| maximal quotient of | #34108670, #34108736, #34108981, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1366);