Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #106×C107 ⋊ C2 |
| Sylow | C107 ⋊ #485 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=f,b^2=f,c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^106,g^b=g^106,e^c=ef,g^c=g^106761 conjugacy classes — view the full character table.
| maximal subgroup of | #485×D107, C2×#20292971, #28346371, … |
| maximal normal subgroup of | #485×D107, C2×#20292971, #28346371, … |
| maximal quotient of | #28336555, #28336659, #28336772, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 893);