Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19098401 |
| Sylow | C79 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#19098401, #34208851, #34208857, … |
| maximal normal subgroup of | C4×#19098401, #34208851, #34208857, … |
| maximal quotient of | C2×#23761578, C2×#23761580, C2×#23761601, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6811);