Finite Group Databasebeta

← Group #259059

Character table — Group #259059

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442244444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-11-1-1-11-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-11-1-1-1-1-11-1-1-1-11111
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-111111-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-11-1-111111111111111-1-111-111-1-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111
χ91111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-111-111-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1
χ141111111111111111-1-1-1-111-1-111-111-1-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111
χ151111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-11-1-1111-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1111111-111-1-111-1-1
χ1722222222222-2-2-22-22222-2-22222-200-20000000000000000-2000-200000000000
χ1822222222222-2-2-22-22222-2-2-2-2-2-2-200-200000000000000002000200000000000
χ1922222222222-2-2-22-2-2-2-2-2-2-222-2-220020000000000000000-2000200000000000
χ2022222222222-2-2-22-2-2-2-2-2-2-2-2-222200200000000000000002000-200000000000
χ2122222222-2-2-2222-2222-2-2-2-20000222-222000000000000000-200000-200000000
χ2222222222-2-2-2222-2222-2-2-2-200002-2-2-2-2-2000000000000000200000200000000
χ2322222222-2-2-2222-22-2-222-2-20000-2222-2-2000000000000000200000-200000000
χ2422222222-2-2-2222-22-2-222-2-20000-2-2-2222000000000000000-200000200000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-20020022-2-20000000000000002-2000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-200200-2-222000000000000000-22000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000200-20022-2-2000000000000000-22000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220000200-200-2-2220000000000000002-2000000000
χ29222-22-2-2-22-2-2000202-22-2002-22-20000000000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ30222-22-2-2-22-2-2000202-22-2002-22-20000000000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ31222-22-2-2-22-2-2000202-22-200-22-220000000000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ32222-22-2-2-22-2-2000202-22-200-22-220000000000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ33222-22-2-2-22-2-200020-22-22002-2-220000000000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ34222-22-2-2-22-2-200020-22-22002-2-220000000000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ35222-22-2-2-22-2-200020-22-2200-222-20000000000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ36222-22-2-2-22-2-200020-22-2200-222-20000000000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ372-222-2-22-222-22-2-2-2200002-200000000002i−2i2i−2i2-22-2000000002i−2i000000000000
χ382-222-2-22-222-22-2-2-2200002-200000000002i−2i2i−2i-22-2200000000−2i2i000000000000
χ392-222-2-22-222-22-2-2-2200002-20000000000−2i2i−2i2i2-22-200000000−2i2i000000000000
χ402-222-2-22-222-22-2-2-2200002-20000000000−2i2i−2i2i-22-22000000002i−2i000000000000
χ412-222-2-22-2-2-22-2222-200002-200000000002i−2i−2i2i00002i−2i2i−2i2-20000000000000000
χ422-222-2-22-2-2-22-2222-200002-200000000002i−2i−2i2i0000−2i2i−2i2i-220000000000000000
χ432-222-2-22-2-2-22-2222-200002-20000000000−2i2i2i−2i00002i−2i2i−2i-220000000000000000
χ442-222-2-22-2-2-22-2222-200002-20000000000−2i2i2i−2i0000−2i2i−2i2i2-20000000000000000
χ45444-44-4-4-4-444000-404-4-44000000000000000000000000000000000000000000
χ46444-44-4-4-4-444000-40-444-4000000000000000000000000000000000000000000
χ4744-44-44-4-400044-40-400000000000000000000000000000000000000000022−2200
χ4844-44-44-4-400044-40-4000000000000000000000000000000000000000000−222200
χ4944-44-44-4-4000-4-4404000000000000000000000000000000000000000000002i2−2i2
χ5044-44-44-4-4000-4-440400000000000000000000000000000000000000000000−2i22i2
χ514-444-4-44-444-4-444-4-40000-440000000000000000000000000000000000000000
χ524-444-4-44-4-4-444-4-4440000-440000000000000000000000000000000000000000
χ534-44-4-44-444-44000-40000000000000000000002i2−2i2−2i22i20000000000000000000000
χ544-44-4-44-444-44000-4000000000000000000000−2i22i22i2−2i20000000000000000000000
χ554-44-4-44-44-44-40004000000000000000000000000022−22−2222000000000000000000
χ564-44-4-44-44-44-400040000000000000000000000000−222222−22000000000000000000
χ574-4-444-4-440004-440-4000000000004i−4i000000000000000000000000000000000
χ584-4-444-4-440004-440-400000000000−4i4i000000000000000000000000000000000
χ594-4-444-4-44000-44-404000000000000004-4000000000000000000000000000000
χ604-4-444-4-44000-44-40400000000000000-44000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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