Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C107 ⋊ #478 |
102 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=d,b^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^106,g^b=g^106,e^c=ef761 conjugacy classes — view the full character table.
| maximal subgroup of | #478×D107, C2×#20292929, #28346245, … |
| maximal normal subgroup of | #478×D107, C2×#20292929, #28346245, … |
| maximal quotient of | #28336469, #28336706, #28336724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 851);