Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16812040 |
| Sylow | C107 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
1088 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28336349, C4×#16812040, #28336357, … |
| maximal normal subgroup of | #28336349, C4×#16812040, #28336357, … |
| maximal quotient of | C2×#20292377, #28335216, #28335231, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 579);