Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099315 |
| Fitting | C2×#126×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#563 |
1024 conjugacy classes of subgroups.
1130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19099315, #34450983, #34454130, … |
| maximal normal subgroup of | C4×#19099315, #34450983, #34454130, … |
| maximal quotient of | C2×#23766542, C2×#23766546, C2×#23766560, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 18642);