Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #465×D67 |
| Fitting | #465×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#465 |
564 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#465×D67, #3050×D67, #3055×D67, … |
| maximal normal subgroup of | C2×#465×D67, #3050×D67, #3055×D67, … |
| maximal quotient of | #1665×D67, #1671×D67, #1677×D67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 14066);