Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C157 ⋊ #335 |
54 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=ce,c^2=e,d^2=f,b^a=bc,c^a=ce,g^a=g^129,g^d=g^156652 conjugacy classes — view the full character table.
| maximal subgroup of | #34115090, #34115091, #34115092, … |
| maximal normal subgroup of | #34115090, #34115091, #34115092, … |
| maximal quotient of | #34114966, #34115165, #34115167, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1412);