Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C16×C157 ⋊ C4 |
| Sylow | C157 ⋊ #365 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^28,d^b=df,g^d=g^156640 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#23758198, D157⋊#365, #34116483, … |
| maximal normal subgroup of | C2×#23758198, D157⋊#365, #34116483, … |
| maximal quotient of | #34115161, #34115162, #34115201, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1474);