Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19098694 |
| Sylow | C79 ⋊ C2×#446 |
400 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34178857, #34178859, #34179097, … |
| maximal normal subgroup of | #34178857, #34178859, #34179097, … |
| maximal quotient of | C2×#23763275, C2×#23763269, C4×#19098694, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13438);