Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13133805 |
| Fitting | C22×Q8×C107 ⋊ C2 |
| Sylow | C107 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1088 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28336792, #28336798, #28336814, … |
| maximal normal subgroup of | #28336792, #28336798, #28336814, … |
| maximal quotient of | C22×#16812029, C22×#16812033, C22×#16812040, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 1321);