Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #108×C107 ⋊ C2 |
| Sylow | C107 ⋊ #359 |
56 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|a^2=d,c^2=ef,d^2=f,e^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=ce,e^b=ef,g^b=g^106764 conjugacy classes — view the full character table.
| maximal subgroup of | #359×D107, C2×#20292433, #28338187, … |
| maximal normal subgroup of | #359×D107, C2×#20292433, #28338187, … |
| maximal quotient of | #28334421, #28334424, #28334475, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 355);