Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098326 |
| Sylow | C79 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175412, #34175414, #34175430, … |
| maximal normal subgroup of | #34175412, #34175414, #34175430, … |
| maximal quotient of | C2×#23761235, #34177735, #34177745, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4224);