Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4⋊Q8×C107 ⋊ C2 |
| Sylow | C107 ⋊ #461 |
120 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=f,b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^106761 conjugacy classes — view the full character table.
| maximal subgroup of | #28335637, #28335639, #28335658, … |
| maximal normal subgroup of | #28335637, #28335639, #28335658, … |
| maximal quotient of | #28335833, #28335847, #28335857, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 751);