Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099329 |
| Fitting | C22×M16×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#568 |
1460 conjugacy classes of subgroups.
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193595, #34193598, #34193605, … |
| maximal normal subgroup of | #34193595, #34193598, #34193605, … |
| maximal quotient of | C2×#23771817, C2×#23771818, C2×#23771825, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19219);