Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #466×D79 |
| Fitting | #466×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#466 |
616 conjugacy classes of subgroups.
902 conjugacy classes — view the full character table.
| maximal subgroup of | #1347×D79, #34198504, #1349×D79, … |
| maximal normal subgroup of | #1347×D79, #34198504, #1349×D79, … |
| maximal quotient of | #1667×D79, #1673×D79, #1681×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14074);