Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16812052 |
| Fitting | C2×Q16×C107 ⋊ C2 |
| Sylow | C107 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
764 conjugacy classes — view the full character table.
| maximal subgroup of | #28338310, C4×#16812052, #28338323, … |
| maximal normal subgroup of | #28338310, C4×#16812052, #28338323, … |
| maximal quotient of | C2×#20292427, C2×#20292431, C2×#20292454, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 972);