Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q64×D79 |
| Fitting | Q64×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
779 conjugacy classes — view the full character table.
| maximal subgroup of | SD128×D79, Q128×D79, #34209330, … |
| maximal normal subgroup of | SD128×D79, Q128×D79, #34209330, … |
| maximal quotient of | #1416×D79, #1423×D79, #34208852, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6813);