Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#19098433 |
| Sylow | C79 ⋊ C2×#384 |
888 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#23761284, #34178363, #34178373, … |
| maximal normal subgroup of | C2×#23761284, #34178363, #34178373, … |
| maximal quotient of | C2×#23761630, C4×#19098433, C2×#23761665, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6911);