Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19128500 |
| Fitting | C2×#137×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
946 conjugacy classes — view the full character table.
| maximal subgroup of | #35405906, #35405915, #35406273, … |
| maximal normal subgroup of | #35405906, #35405915, #35406273, … |
| maximal quotient of | C2×#24915979, C2×#24915981, C2×#24916050, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 19256);