Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C157 ⋊ #338 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,e^a=ef,g^a=g^129,d^b=df,g^d=g^156646 conjugacy classes — view the full character table.
| maximal subgroup of | #34115110, #34115111, #34115112, … |
| maximal normal subgroup of | #34115110, #34115111, #34115112, … |
| maximal quotient of | #34114961, #34114962, #34115002, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1418);