Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19098403 |
| Sylow | C79 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #34208852, C4×#19098403, #34208864, … |
| maximal normal subgroup of | #34208852, C4×#19098403, #34208864, … |
| maximal quotient of | C2×#23761580, C2×#23761581, C2×#23761599, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6814);