Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | #478×D79 |
| Fitting | #478×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#478 |
448 conjugacy classes of subgroups.
779 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#478×D79, #3076×D79, #3077×D79, … |
| maximal normal subgroup of | C2×#478×D79, #3076×D79, #3077×D79, … |
| maximal quotient of | #1804×D79, #1862×D79, #1864×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14263);