Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C107 ⋊ #324 |
78 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=ce,g^a=g^106,d^b=de1082 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28334392, #28334393, #28334394, … |
| maximal normal subgroup of | #28334392, #28334393, #28334394, … |
| maximal quotient of | #28334284, #28334304, #28334401, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 275);