Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16812026 |
| Sylow | C107 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
1082 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28334578, #28334579, C4×#16812026, … |
| maximal normal subgroup of | #28334578, #28334579, C4×#16812026, … |
| maximal quotient of | C2×#20292351, #28334782, #28334788, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 526);