Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #107×C107 ⋊ C2 |
| Sylow | C107 ⋊ #427 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^b=g^106,g^c=g^106770 conjugacy classes — view the full character table.
| maximal subgroup of | #28338165, #28338167, #28338175, … |
| maximal normal subgroup of | #28338165, #28338167, #28338175, … |
| maximal quotient of | #28335208, #28335223, #28335240, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 586);