Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×#14579161 |
| Sylow | C79 ⋊ C22×C4⋊Q8 |
1624 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179755, #34179757, #34179764, … |
| maximal normal subgroup of | #34179755, #34179757, #34179764, … |
| maximal quotient of | C22×#19098433, C22×#19098461, C22×#19098469, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17786);