Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #452×D67 |
| Fitting | #452×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#452 |
760 conjugacy classes of subgroups.
665 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#452×D67, #3002×D67, #3005×D67, … |
| maximal normal subgroup of | C2×#452×D67, #3002×D67, #3005×D67, … |
| maximal quotient of | #1603×D67, #1615×D67, #1606×D67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 13715);