Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#16812050 |
| Fitting | C2×D8×C107 ⋊ C2 |
| Sylow | C107 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
764 conjugacy classes — view the full character table.
| maximal subgroup of | #28338305, C4×#16812050, #28338334, … |
| maximal normal subgroup of | #28338305, C4×#16812050, #28338334, … |
| maximal quotient of | C2×#20292427, C2×#20292428, C2×#20292452, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 969);