Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #99×C107 ⋊ C2 |
| Sylow | C107 ⋊ #353 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=d,c^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=cf,d^b=def,g^b=g^106,d^c=df596 conjugacy classes — view the full character table.
| maximal subgroup of | #353×D107, C2×#20292419, #28338124, … |
| maximal normal subgroup of | #353×D107, C2×#20292419, #28338124, … |
| maximal quotient of | #28334392, #28334406, #28334457, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 341);