Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | #485×D79 |
| Fitting | #485×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#485 |
416 conjugacy classes of subgroups.
779 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#485×D79, #3091×D79, #3093×D79, … |
| maximal normal subgroup of | C2×#485×D79, #3091×D79, #3093×D79, … |
| maximal quotient of | #1825×D79, #1854×D79, #1873×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14398);