Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #460×D79 |
| Fitting | #460×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#460 |
584 conjugacy classes of subgroups.
779 conjugacy classes — view the full character table.
| maximal subgroup of | #1622×D79, #1620×D79, #1627×D79, … |
| maximal normal subgroup of | #1622×D79, #1620×D79, #1627×D79, … |
| maximal quotient of | #1666×D79, #1668×D79, #1670×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13938);