Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C107 ⋊ #462 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=f,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^106,e^c=ef761 conjugacy classes — view the full character table.
| maximal subgroup of | #462×D107, C2×#20292835, #28345912, … |
| maximal normal subgroup of | #462×D107, C2×#20292835, #28345912, … |
| maximal quotient of | #28335841, #28335845, #28335853, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 757);