Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C157 ⋊ #436 |
122 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,c^2=e,e^2=f,b^a=bd,c^a=cf,g^a=g^28,c^b=cf,g^c=g^129,g^e=g^156418 conjugacy classes — view the full character table.
| maximal subgroup of | #34115737, #34115738, #34115745, … |
| maximal normal subgroup of | #34115737, #34115738, #34115745, … |
| maximal quotient of | #34115769, #34115772, #34115776, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1584);