Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #474×D79 |
| Fitting | #474×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#474 |
480 conjugacy classes of subgroups.
779 conjugacy classes — view the full character table.
| maximal subgroup of | #1639×D79, #1644×D79, #1647×D79, … |
| maximal normal subgroup of | #1639×D79, #1644×D79, #1647×D79, … |
| maximal quotient of | #1802×D79, #1862×D79, #1918×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14251);