Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #459×D83 |
| Fitting | #459×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#459 |
648 conjugacy classes of subgroups.
817 conjugacy classes — view the full character table.
| maximal subgroup of | #1619×D83, #1622×D83, #1625×D83, … |
| maximal normal subgroup of | #1619×D83, #1622×D83, #1625×D83, … |
| maximal quotient of | #1665×D83, #1667×D83, #1669×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13918);