Finite Group Databasebeta

← Group #262479

Character table — Group #262479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442222222222224488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ91111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1111-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-11-111-1-111-1-111
χ111111111111111111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1111-11-1-1-1-111-1-111
χ121111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-1-11-1-1-111111-1-111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111-111-11-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-11-11111-1-1-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-11111-1-1
χ1722222222222-2-2-2-222222-2-2000000002222-2-200000000000000-2-20000000000
χ1822222222222-2-2-2-222222-2-200000000-2-2-2-2-2-200000000000000220000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-20000000022-2-22200000000000000-220000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-200000000-2-22222000000000000002-20000000000
χ2122222222-2-2-22222-222-2-2-2-2000022-2-20000-220000000000-2200000000000000
χ2222222222-2-2-22222-222-2-2-2-20000-2-2220000-2200000000002-200000000000000
χ2322222222-2-2-22222-2-2-222-2-20000222200002-20000000000-2-200000000000000
χ2422222222-2-2-22222-2-2-222-2-20000-2-2-2-200002-200000000002200000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22222-2-2000000002-2000000002-20000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-222000000002-200000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000-2200000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000-22000000002-20000000000000000
χ2922-2-222-2-222-20000-22-22-200000000002-22-200i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ3022-2-222-2-222-20000-22-22-200000000002-22-200−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ3122-2-222-2-222-20000-22-22-20000000000-22-2200i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ3222-2-222-2-222-20000-22-22-20000000000-22-2200−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ3322-2-222-2-222-20000-2-22-2200000000002-2-2200i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ3422-2-222-2-222-20000-2-22-2200000000002-2-2200−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ3522-2-222-2-222-20000-2-22-220000000000-222-200i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ3622-2-222-2-222-20000-2-22-220000000000-222-200−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ372-22-22-2-222-2222-2-2-200002-22-22-200000000002i−2i2i−2i000000002i−2i000000000000
χ382-22-22-2-222-2222-2-2-200002-22-22-20000000000−2i2i−2i2i00000000−2i2i000000000000
χ392-22-22-2-222-2222-2-2-200002-2-22-2200000000002i−2i2i−2i00000000−2i2i000000000000
χ402-22-22-2-222-2222-2-2-200002-2-22-220000000000−2i2i−2i2i000000002i−2i000000000000
χ412-22-22-2-22-22-2-2-222200002-22-2-22000000000000002-22-2000000002-200000000
χ422-22-22-2-22-22-2-2-222200002-22-2-2200000000000000-22-2200000000-2200000000
χ432-22-22-2-22-22-2-2-222200002-2-222-2000000000000002-22-200000000-2200000000
χ442-22-22-2-22-22-2-2-222200002-2-222-200000000000000-22-22000000002-200000000
χ4544-4-444-4-4-4-44000044-4-44000000000000000000000000000000000000000000
χ4644-4-444-4-4-4-4400004-444-4000000000000000000000000000000000000000000
χ4744-4-4-4-4440004-44-4000000000000000000000000000000000000000000022−2200
χ4844-4-4-4-4440004-44-40000000000000000000000000000000000000000000−222200
χ4944-4-4-4-444000-44-4400000000000000000000000000000000000000000000022−22
χ5044-4-4-4-444000-44-44000000000000000000000000000000000000000000000−2222
χ514-44-44-4-444-44-4-444-40000-440000000000000000000000000000000000000000
χ524-44-44-4-44-44-444-4-440000-440000000000000000000000000000000000000000
χ534-4-444-44-44-4-4000040000000000000000000022−22−22220000000000000000000000
χ544-4-444-44-44-4-40000400000000000000000000−222222−220000000000000000000000
χ554-4-444-44-4-4440000-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ564-4-444-44-4-4440000-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ574-4-44-44-440004-4-44000000000004-40000000000000000000000000000000000
χ584-4-44-44-440004-4-4400000000000-440000000000000000000000000000000000
χ594-4-44-44-44000-444-400000000000004-400000000000000000000000000000000
χ604-4-44-44-44000-444-40000000000000-4400000000000000000000000000000000
χ618888-8-8-8-8000000000000000000000000000000000000000000000000000000
χ628-88-8-888-8000000000000000000000000000000000000000000000000000000

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