Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16812044 |
| Sylow | C107 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1088 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28336339, #28336341, #28336344, … |
| maximal normal subgroup of | #28336339, #28336341, #28336344, … |
| maximal quotient of | C2×#20292377, C2×#20292379, #28335207, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 594);