Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16812054 |
| Fitting | C2×C16×C107 ⋊ C2 |
| Sylow | C107 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
1718 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28338312, C4×#16812054, #28338324, … |
| maximal normal subgroup of | #28338312, C4×#16812054, #28338324, … |
| maximal quotient of | C2×#20292429, C2×#20292432, C2×#20292455, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 974);