Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | #529×D79 |
| Fitting | #529×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#529 |
1232 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1482×D79, #1483×D79, #34254819, … |
| maximal normal subgroup of | #1482×D79, #1483×D79, #34254819, … |
| maximal quotient of | #2283×D79, #2290×D79, #2293×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17768);