Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #124×C157 ⋊ C2 |
| Sylow | C157 ⋊ #496 |
144 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|b^2=d,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^156,c^b=cf,g^b=g^1561108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098292, #34098294, #34099425, … |
| maximal normal subgroup of | #34098292, #34098294, #34099425, … |
| maximal quotient of | #34099760, #34099766, #34099777, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 939);