Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C2×D8×C107 ⋊ C2 |
| Sylow | C107 ⋊ #493 |
162 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,107|b^2=df,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^c=g^106764 conjugacy classes — view the full character table.
| maximal subgroup of | #28338494, #28338495, #28338499, … |
| maximal normal subgroup of | #28338494, #28338495, #28338499, … |
| maximal quotient of | #28336050, #28336052, #28336054, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 924);