Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C107 ⋊ #448 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,g^b=g^106761 conjugacy classes — view the full character table.
| maximal subgroup of | #28335413, #28335414, #28335424, … |
| maximal normal subgroup of | #28335413, #28335414, #28335424, … |
| maximal quotient of | #28335383, #28335400, #28335451, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 687);