Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic79 |
| Sylow | C79 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
902 conjugacy classes — view the full character table.
| maximal subgroup of | #34208845, SD64×Dic79, #34208852, … |
| maximal normal subgroup of | #34208845, SD64×Dic79, #34208852, … |
| maximal quotient of | Q32×C79⋊C8, #34200186, #34200260, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6369);