Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #466×D83 |
| Fitting | #466×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#466 |
616 conjugacy classes of subgroups.
946 conjugacy classes — view the full character table.
| maximal subgroup of | #1347×D83, #35314639, #1349×D83, … |
| maximal normal subgroup of | #1347×D83, #35314639, #1349×D83, … |
| maximal quotient of | #1667×D83, #1673×D83, #1681×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 14074);