Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C157 ⋊ #568 |
258 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,e^2=f,d^a=df,g^a=g^129,c^b=cf,g^b=g^156,g^c=g^156,g^e=g^156424 conjugacy classes — view the full character table.
| maximal subgroup of | #34116094, #34116138, #34116140, … |
| maximal normal subgroup of | #34116094, #34116138, #34116140, … |
| maximal quotient of | #34116702, #34116708, #34116723, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1629);