Finite Group Databasebeta

← Group #280206

Character table — Group #280206

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-111-1-11111-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-111111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-1-1-11111-1-111-1
χ17222222222-22-2-222-22222-2-20000220000-2-2000022-2-20000000000000-2000000000
χ18222222222-22-2-222-22222-2-20000-2-20000-2-20000-2-22200000000000002000000000
χ19222222222-22-2-222-2-2-2-2-2-2-20000220000220000-2-2220000000000000-2000000000
χ20222222222-22-2-222-2-2-2-2-2-2-20000-2-2000022000022-2-200000000000002000000000
χ2122222222-22-222-2-220000-2-2222200222200-2-2-2-2000000000000-200000000000000
χ2222222222-22-222-2-220000-2-2222200-2-2-2-20022-2-2000000000000200000000000000
χ2322222222-22-222-2-220000-2-2-2-2-2-20022-2-200-2-222000000000000200000000000000
χ2422222222-22-222-2-220000-2-2-2-2-2-200-2-222002222000000000000-200000000000000
χ252-222-2-2-2222-2-2-22-222i2i−2i−2i2-200000000002i−2i00000000000000000000002-2002i−2i000
χ262-222-2-2-2222-2-2-22-222i2i−2i−2i2-200000000002i−2i0000000000000000000000-2200−2i2i000
χ272-222-2-2-2222-2-2-22-22−2i−2i2i2i2-20000000000−2i2i00000000000000000000002-200−2i2i000
χ282-222-2-2-2222-2-2-22-22−2i−2i2i2i2-20000000000−2i2i0000000000000000000000-22002i−2i000
χ292-222-2-2-222-2-2222-2-22i2i−2i−2i-220000002-200−2i2i2-20000000000000002i−2i000000000000
χ302-222-2-2-222-2-2222-2-22i2i−2i−2i-22000000-2200−2i2i-22000000000000000−2i2i000000000000
χ312-222-2-2-222-2-2222-2-2−2i−2i2i2i-220000002-2002i−2i2-2000000000000000−2i2i000000000000
χ322-222-2-2-222-2-2222-2-2−2i−2i2i2i-22000000-22002i−2i-220000000000000002i−2i000000000000
χ332-222-2-2-22-2-2222-22-200002-20000002-20000-220000002i2i−2i−2i00000002i−2i0000000000
χ342-222-2-2-22-2-2222-22-200002-20000002-20000-22000000−2i−2i2i2i0000000−2i2i0000000000
χ352-222-2-2-22-2-2222-22-200002-2000000-2200002-20000002i2i−2i−2i0000000−2i2i0000000000
χ362-222-2-2-22-2-2222-22-200002-2000000-2200002-2000000−2i−2i2i2i00000002i−2i0000000000
χ372-22-22-22-220-200-2202i−2i2i−2i00i2i2−i2−i22-200000000i2−i22i−2i002−22−222−2−2000000000000i2−i20
χ382-22-22-22-220-200-2202i−2i2i−2i00i2i2−i2−i2-2200000000i2−i2−2i2i002−22−2−2−222000000000000−i2i20
χ392-22-22-22-220-200-2202i−2i2i−2i00−i2−i2i2i22-200000000−i2i22i−2i00−22−22−2−222000000000000−i2i20
χ402-22-22-22-220-200-2202i−2i2i−2i00−i2−i2i2i2-2200000000−i2i2−2i2i00−22−2222−2−2000000000000i2−i20
χ412-22-22-22-220-200-220−2i2i−2i2i00i2i2−i2−i22-200000000i2−i2−2i2i00−22−22−2−222000000000000i2−i20
χ422-22-22-22-220-200-220−2i2i−2i2i00i2i2−i2−i2-2200000000i2−i22i−2i00−22−2222−2−2000000000000−i2i20
χ432-22-22-22-220-200-220−2i2i−2i2i00−i2−i2i2i22-200000000−i2i2−2i2i002−22−222−2−2000000000000−i2i20
χ442-22-22-22-220-200-220−2i2i−2i2i00−i2−i2i2i2-2200000000−i2i22i−2i002−22−2−2−222000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-44-4-440400-4-404-4-44000000000000000000000000000000000000000000000
χ47444-4-44-4-440400-4-40-444-4000000000000000000000000000000000000000000000
χ48444-4-44-4-4-40-400440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ49444-4-44-4-4-40-40044000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5044-4-4-4-4440404-400-40000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5144-4-4-4-4440404-400-4000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5244-4-4-4-4440-40-440040000004-44-4000000000000000000000000000000000000000
χ5344-4-4-4-4440-40-44004000000-44-44000000000000000000000000000000000000000
χ544-444-4-4-44-444-4-4-4440000-440000000000000000000000000000000000000000000
χ554-44-44-44-4-404004-400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ564-44-44-44-4-404004-40000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ574-4-44-444-4000000000000002i2−2i2−2i22i20000000000000022−2200002i−2i−2i2i000000000000000
χ584-4-44-444-4000000000000002i2−2i2−2i22i200000000000000−22220000−2i2i2i−2i000000000000000
χ594-4-44-444-400000000000000−2i22i22i2−2i20000000000000022−220000−2i2i2i−2i000000000000000
χ604-4-44-444-400000000000000−2i22i22i2−2i200000000000000−222200002i−2i−2i2i000000000000000
χ614-4-4-444-44040-4400-4000000000000004i−4i000000000000000000000000000000000
χ624-4-4-444-44040-4400-400000000000000−4i4i000000000000000000000000000000000
χ634-4-4-444-440-404-400400000000000000000000000000000000000000000022−2200000
χ644-4-4-444-440-404-4004000000000000000000000000000000000000000000−222200000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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