Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16864202 |
| Fitting | C22×SD16×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
968 conjugacy classes — view the full character table.
| maximal subgroup of | #30871739, #30871771, #30871823, … |
| maximal normal subgroup of | #30871739, #30871771, #30871823, … |
| maximal quotient of | C2×#22568730, C2×#22568737, C2×#22568800, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 19265);