Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #103×C107 ⋊ C2 |
| Sylow | C107 ⋊ #483 |
104 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=f,c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^106,e^c=ef761 conjugacy classes — view the full character table.
| maximal subgroup of | #483×D107, C2×#20292956, #28346372, … |
| maximal normal subgroup of | #483×D107, C2×#20292956, #28346372, … |
| maximal quotient of | #28336546, #28336655, #28336765, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 878);