Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#125×D79 |
| Fitting | C2×#125×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22×#125 |
1192 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179737, #1470×D79, #34254343, … |
| maximal normal subgroup of | #34179737, #1470×D79, #34254343, … |
| maximal quotient of | C2×#382×D79, C2×#387×D79, C2×#389×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17760);