Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C107 ⋊ #477 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=df,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^106761 conjugacy classes — view the full character table.
| maximal subgroup of | #28335580, #28335581, #28335585, … |
| maximal normal subgroup of | #28335580, #28335581, #28335585, … |
| maximal quotient of | #28336463, #28336714, #28337050, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 841);