Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #101×C107 ⋊ C2 |
| Sylow | C107 ⋊ #413 |
150 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=e,c^2=f,e^2=f,b^a=bd,d^a=df,e^b=ef,g^b=g^106,g^c=g^106605 conjugacy classes — view the full character table.
| maximal subgroup of | #28338143, #28338145, #28338151, … |
| maximal normal subgroup of | #28338143, #28338145, #28338151, … |
| maximal quotient of | #28334774, #28334778, #28334794, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 532);