Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4×C8×C107 ⋊ C2 |
| Sylow | C107 ⋊ #492 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|b^2=d,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^1061718 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28334501, #28335535, #28335536, … |
| maximal normal subgroup of | #28334501, #28335535, #28335536, … |
| maximal quotient of | #28336048, #28336053, #28336058, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 922);