Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#16863368 |
| Fitting | C2×#99×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | #30770772, #30770780, #30770799, … |
| maximal normal subgroup of | #30770772, #30770780, #30770799, … |
| maximal quotient of | C2×#22558520, C2×#22558522, C2×#22558528, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 12965);