Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | #533×D79 |
| Fitting | #533×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#533 |
1168 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1481×D79, #1485×D79, #34254813, … |
| maximal normal subgroup of | #1481×D79, #1485×D79, #34254813, … |
| maximal quotient of | #2285×D79, #2295×D79, #2296×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17795);