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 ⋊ #576 |
268 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|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 | #34102091, #34102095, #34102105, … |
| maximal normal subgroup of | #34102091, #34102095, #34102105, … |
| maximal quotient of | #34108663, #34108736, #34108970, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1354);