Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C22×#14579155 |
| Fitting | C22×C42×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22×#126 |
1320 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179631, #34212791, #34212795, … |
| maximal normal subgroup of | #34179631, #34212791, #34212795, … |
| maximal quotient of | C22×#19098431, C22×#19098447, C22×#19098454, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17766);