Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C157 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^129,d^b=df,g^b=g^156,g^d=g^156646 conjugacy classes — view the full character table.
| maximal subgroup of | #34115106, #34115107, #34115108, … |
| maximal normal subgroup of | #34115106, #34115107, #34115108, … |
| maximal quotient of | #34115057, #34115073, #34115089, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1446);