Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C107 ⋊ #368 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=d,b^2=ce,c^2=ef,d^2=f,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^b=g^106764 conjugacy classes — view the full character table.
| maximal subgroup of | #368×D107, C2×#20292456, #28338254, … |
| maximal normal subgroup of | #368×D107, C2×#20292456, #28338254, … |
| maximal quotient of | #28334532, #28334534, #28334554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 378);