Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19128517 |
| Fitting | C2×#137×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#578 |
1408 conjugacy classes of subgroups.
946 conjugacy classes — view the full character table.
| maximal subgroup of | #35420324, #35420351, #35420407, … |
| maximal normal subgroup of | #35420324, #35420351, #35420407, … |
| maximal quotient of | C2×#24915994, C2×#24915995, C2×#24916062, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 19276);