Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic856 |
| Sylow | C107 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
1718 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28334641, #28334643, #28334653, … |
| maximal normal subgroup of | #28334641, #28334643, #28334653, … |
| maximal quotient of | C2×#20292432, C2×#20292453, C4×Dic856, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 977);