Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C107 ⋊ #332 |
64 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=d,b^2=e,c^2=f,d^2=ef,b^a=bc,c^a=ce,c^b=cf,d^b=def,g^b=g^1061079 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #332×D107, C2×#20292372, #28335107, … |
| maximal normal subgroup of | #332×D107, C2×#20292372, #28335107, … |
| maximal quotient of | #28334283, #28334345, #28334512, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 294);