Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| 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,g^a=g^106,c^b=cf,d^b=def,d^c=df755 conjugacy classes — view the full character table.
| maximal subgroup of | #28334606, #28334607, #28334623, … |
| maximal normal subgroup of | #28334606, #28334607, #28334623, … |
| maximal quotient of | #28334393, #28334407, #28334458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 342);