Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C22×#14579153 |
| Sylow | C79 ⋊ C22×#125 |
1192 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179622, #34179738, #34197184, … |
| maximal normal subgroup of | #34179622, #34179738, #34197184, … |
| maximal quotient of | C22×#19098429, C22×#19098447, C22×#19098461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17763);