Finite Group Databasebeta

← Group #488115

Character table — Group #488115

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244224442222222444444444444444444444444888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-111-1111111-1-1-1-1-1-1
χ4111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111-1-1-1-11111111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ711111111111111-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-1
χ811111111111111-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1-11111-1-1-1-111
χ9111111-1-111-1-1-1-111-1-111-1-1-1-1-111-1-1111-11-11-111-111-1-111-1-11-1
χ10111111-1-111-1-1-1-111-1-111-1-1-1-1-111-1-111-111-1-1111-1-1-111-1-111-11
χ11111111-1-111-1-1-1-111-1-1-1-1-11111-1-111111-1-111-1-11-111-1-1-1-111-11
χ12111111-1-111-1-1-1-111-1-1-1-1-11111-1-11111-11-11-11-11-1-1-11111-1-11-1
χ13111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-111-11-11-1-111-1-1111-1
χ14111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-11-11-111-1111-1-111-1-1-11
χ15111111-1-111-1-1-1-1-1-111-1-1-1111111-1-1111-11-11-1-1-11-1-11111-1-1-11
χ16111111-1-111-1-1-1-1-1-111-1-1-1111111-1-111-111-1-11-1-1111-1-1-1-1111-1
χ172222222222-2-22-2222200200000000-2-20000000-2-20000000000
χ182222222222-2-22-2-2-2-2-200200000000-2-20000000220000000000
χ1922222222-2-2222-2000000-2000022222-200-2-2000000000000000
χ2022222222-2-2222-2000000-20000-2-2-2-22-20022000000000000000
χ2122222222-2-2-2-222000022-222-2-20000-22000000-2000000000000
χ2222222222-2-2-2-2220000-2-2-2-2-2220000-220000002000000000000
χ23222222-2-22222-2222-2-200-200000000-2-20000000-220000000000
χ24222222-2-22222-22-2-22200-200000000-2-200000002-20000000000
χ25222222-2-2-2-222-2-20000222-2-2220000-22000000-2000000000000
χ26222222-2-2-2-222-2-20000-2-2222-2-20000-220000002000000000000
χ27222222-2-2-2-2-2-2-220000002000022-2-22-200-22000000000000000
χ28222222-2-2-2-2-2-2-2200000020000-2-2222-2002-2000000000000000
χ294444-4-4440000-40000000000000000002200-2-20000000000000
χ304444-4-4440000-4000000000000000000-2-200220000000000000
χ314444-4-4-4-4000040000000000000000002-200-220000000000000
χ324444-4-4-4-400004000000000000000000-22002-20000000000000
χ3344-4-44-4004-4000000000000000000000000000000000022−220000
χ3444-4-44-4004-40000000000000000000000000000000000−22220000
χ3544-4-44-400-4400000000000000000000000000000000000022−2200
χ3644-4-44-400-44000000000000000000000000000000000000−222200
χ3744-4-4-4400004-400000000000000000000000000002i−2i2i−2i000000
χ3844-4-4-4400004-40000000000000000000000000000−2i2i−2i2i000000
χ3944-4-4-440000-4400000000000000000000000000002i−2i−2i2i000000
χ4044-4-4-440000-440000000000000000000000000000−2i2i2i−2i000000
χ414-4-44004-40000002-22-22-202-2002-22-2000000000000000000000
χ424-4-44004-40000002-22-2-220-2200-22-22000000000000000000000
χ434-4-44004-4000000-22-222-202-200-22-22000000000000000000000
χ444-4-44004-4000000-22-22-220-22002-22-2000000000000000000000
χ454-4-4400-440000002-2-222-20-22002-2-22000000000000000000000
χ464-4-4400-440000002-2-22-2202-200-222-2000000000000000000000
χ474-4-4400-44000000-222-22-20-2200-222-2000000000000000000000
χ484-4-4400-44000000-222-2-2202-2002-2-22000000000000000000000
χ498-88-800000000000000000004i−4i0000000000000000000000000
χ508-88-80000000000000000000−4i4i0000000000000000000000000

Here i is the imaginary unit (i² = −1).