Finite Group Databasebeta

← Group #260336

Character table — Group #260336

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1111-111-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-11-111-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-1111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-1111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ101111111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111
χ131111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111111-1-1-1-1-1-11-1-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-11111111-1-1-111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1111111-1-1-1-111-1111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-11111-1-1-1111-1-11111-1-111-1-1
χ172222222222-2-222-2-200002222-2-2-2-2-200222200000000000000-2-200000000000000
χ182222222222-2-222-2-200002222-2-2-2-2-200-2-2-2-2000000000000002200000000000000
χ192222222222-2-222-2-20000-2-2-2-222-2-220022-2-200000000000000-2200000000000000
χ202222222222-2-222-2-20000-2-2-2-222-2-2200-2-222000000000000002-200000000000000
χ2122222222-2-222-2-222222222-2-222-2-2-2-2-20000-2-22200000000000000000000000000
χ2222222222-2-222-2-2222222-2-222-2-2-2-22220000-2-2-2-200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-222-2-222-2-2-222000022-2-200000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-222-2-2-2-22-2-20000222200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2000022-2-2-2-222200000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-2000022-2-2-2-22220000000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2222222-200000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2222222-20000000000000000000000-222-20000000000
χ29222-2-2-2-22222-2-2-22-22i2i−2i−2i000000-2200000002i−2i0000000000000000002-20000002i−2i
χ30222-2-2-2-22222-2-2-22-22i2i−2i−2i000000-2200000002i−2i000000000000000000-22000000−2i2i
χ31222-2-2-2-22222-2-2-22-2−2i−2i2i2i000000-220000000−2i2i0000000000000000002-2000000−2i2i
χ32222-2-2-2-22222-2-2-22-2−2i−2i2i2i000000-220000000−2i2i000000000000000000-220000002i−2i
χ33222-2-2-2-22-2-22-2222-22i2i−2i−2i0000002-20000000−2i2i00000000002i−2i0000000000002-200
χ34222-2-2-2-22-2-22-2222-22i2i−2i−2i0000002-20000000−2i2i0000000000−2i2i000000000000-2200
χ35222-2-2-2-22-2-22-2222-2−2i−2i2i2i0000002-200000002i−2i00000000002i−2i000000000000-2200
χ36222-2-2-2-22-2-22-2222-2−2i−2i2i2i0000002-200000002i−2i0000000000−2i2i0000000000002-200
χ372-22-22-22-200-2-200222i−2i2i−2i2-2002-2000000000002i−2i22−2−222−2−20000000000i2−i2i2−i20000
χ382-22-22-22-200-2-200222i−2i2i−2i2-2002-2000000000002i−2i−2−222−2−2220000000000−i2i2−i2i20000
χ392-22-22-22-200-2-200222i−2i2i−2i-2200-2200000000000−2i2i22−2−2−2−2220000000000i2−i2−i2i20000
χ402-22-22-22-200-2-200222i−2i2i−2i-2200-2200000000000−2i2i−2−22222−2−20000000000−i2i2i2−i20000
χ412-22-22-22-200-2-20022−2i2i−2i2i2-2002-200000000000−2i2i22−2−222−2−20000000000−i2i2−i2i20000
χ422-22-22-22-200-2-20022−2i2i−2i2i2-2002-200000000000−2i2i−2−222−2−2220000000000i2−i2i2−i20000
χ432-22-22-22-200-2-20022−2i2i−2i2i-2200-22000000000002i−2i22−2−2−2−2220000000000−i2i2i2−i20000
χ442-22-22-22-200-2-20022−2i2i−2i2i-2200-22000000000002i−2i−2−22222−2−20000000000i2−i2−i2i20000
χ45444-4-4-4-4444-44-4-4-4400000000004-40000000000000000000000000000000000000
χ46444-4-4-4-44-4-4-4444-440000000000-440000000000000000000000000000000000000
χ4744-44-4-44-44-4004-40000000000000000000000000000022−2222−22000000000000000000
χ4844-44-4-44-44-4004-400000000000000000000000000000−2222−2222000000000000000000
χ4944-44-4-44-4-4400-44000000000000000000000000022−2222−220000000000000000000000
χ5044-44-4-44-4-4400-440000000000000000000000000−2222−22220000000000000000000000
χ5144-4-444-4-44-400-44000000000000000004-400000000000000000000000000000000
χ5244-4-444-4-44-400-4400000000000000000-4400000000000000000000000000000000
χ5344-4-444-4-4-44004-400000000000000000004-4000000000000000000000000000000
χ5444-4-444-4-4-44004-40000000000000000000-44000000000000000000000000000000
χ554-444-44-4-4004-400-4400000000000004-40000000000000000000000000000000000
χ564-444-44-4-4004-400-440000000000000-440000000000000000000000000000000000
χ574-444-44-4-400-44004-44-4-44000000000000000000000000000000000000000000000
χ584-444-44-4-400-44004-4-444-4000000000000000000000000000000000000000000000
χ594-44-44-44-4004400-4-400004-400-44000000000000000000000000000000000000000
χ604-44-44-44-4004400-4-40000-44004-4000000000000000000000000000000000000000
χ614-4-4-4-4444000000000000004-40000000000000002-2-222-2-22000000000000000000
χ624-4-4-4-4444000000000000004-4000000000000000-222-2-222-2000000000000000000
χ634-4-4-4-444400000000000000-440000000000000002-2-22-222-2000000000000000000
χ644-4-4-4-444400000000000000-44000000000000000-222-22-2-22000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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