Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C157 ⋊ #487 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=f,b^2=e,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^b=g^156,g^c=g^1561114 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099285, #34099286, #34099292, … |
| maximal normal subgroup of | #34099285, #34099286, #34099292, … |
| maximal quotient of | #34100263, #34100815, #34100939, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 899);