Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #472×D79 |
| Fitting | #472×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#472 |
488 conjugacy classes of subgroups.
656 conjugacy classes — view the full character table.
| maximal subgroup of | #2192×D79, #2193×D79, #34442249, … |
| maximal normal subgroup of | #2192×D79, #2193×D79, #34442249, … |
| maximal quotient of | #1667×D79, #1675×D79, #1677×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14213);