Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×Q16×C107 ⋊ C2 |
| Sylow | C107 ⋊ #495 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|b^2=d,c^2=ef,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^106,g^b=g^106,g^c=g^106764 conjugacy classes — view the full character table.
| maximal subgroup of | #28338518, #28338519, #28338525, … |
| maximal normal subgroup of | #28338518, #28338519, #28338525, … |
| maximal quotient of | #28336054, #28336055, #28336064, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 934);