Finite Group Databasebeta

← Group #310281

Character table — Group #310281

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1111
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
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111-1-1-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-1111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111111-1-111-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-11-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-111111-1-111-1
χ17222222222-2-22-2-2222222-2-20000220000-2-20000-2-20000220000-200000000000000
χ18222222222-2-22-2-2222222-2-20000-2-20000-2-20000220000-2-20000200000000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20000220000220000220000-2-20000-200000000000000
χ20222222222-2-22-2-222-2-2-2-2-2-20000-2-20000220000-2-20000220000200000000000000
χ2122222222-222-222-2-20000-2-2222200222200-2-2-2-200000000000000000-2000000000
χ2222222222-222-222-2-20000-2-2222200-2-2-2-20022-2-2000000000000000002000000000
χ2322222222-222-222-2-20000-2-2-2-2-2-20022-2-200-2-222000000000000000002000000000
χ2422222222-222-222-2-20000-2-2-2-2-2-200-2-22200222200000000000000000-2000000000
χ252-2-22-222-2222-2-2-22-22i2i−2i−2i-220000002i−2i002i−2i2i−2i0000000000000002-2000000000000
χ262-2-22-222-2222-2-2-22-22i2i−2i−2i-22000000−2i2i002i−2i−2i2i000000000000000-22000000000000
χ272-2-22-222-2222-2-2-22-2−2i−2i2i2i-220000002i−2i00−2i2i2i−2i000000000000000-22000000000000
χ282-2-22-222-2222-2-2-22-2−2i−2i2i2i-22000000−2i2i00−2i2i−2i2i0000000000000002-2000000000000
χ292-2-22-222-22-2-2-2222-22i2i−2i−2i2-20000000000−2i2i00000000000000000000002i−2i002-2000
χ302-2-22-222-22-2-2-2222-22i2i−2i−2i2-20000000000−2i2i0000000000000000000000−2i2i00-22000
χ312-2-22-222-22-2-2-2222-2−2i−2i2i2i2-200000000002i−2i00000000000000000000002i−2i00-22000
χ322-2-22-222-22-2-2-2222-2−2i−2i2i2i2-200000000002i−2i0000000000000000000000−2i2i002-2000
χ332-2-22-222-2-2222-2-2-2200002-20000002i−2i0000−2i2i00002i2i−2i−2i0000000002-20000000000
χ342-2-22-222-2-2222-2-2-2200002-20000002i−2i0000−2i2i0000−2i−2i2i2i000000000-220000000000
χ352-2-22-222-2-2222-2-2-2200002-2000000−2i2i00002i−2i00002i2i−2i−2i000000000-220000000000
χ362-2-22-222-2-2222-2-2-2200002-2000000−2i2i00002i−2i0000−2i−2i2i2i0000000002-20000000000
χ372-2-2-222-22200200-2-22i−2i2i−2i0022−2−22-2000000002−200i2−i2i2−i22i−2ii2i2−i2−i2000000002−200000
χ382-2-2-222-22200200-2-22i−2i2i−2i0022−2−2-22000000002−200i2−i2i2−i2−2i2i−i2−i2i2i200000000−2200000
χ392-2-2-222-22200200-2-22i−2i2i−2i00−2−2222-200000000−2200−i2i2−i2i22i−2i−i2−i2i2i200000000−2200000
χ402-2-2-222-22200200-2-22i−2i2i−2i00−2−222-2200000000−2200−i2i2−i2i2−2i2ii2i2−i2−i2000000002−200000
χ412-2-2-222-22200200-2-2−2i2i−2i2i0022−2−22-2000000002−200−i2i2−i2i2−2i2i−i2−i2i2i2000000002−200000
χ422-2-2-222-22200200-2-2−2i2i−2i2i0022−2−2-22000000002−200−i2i2−i2i22i−2ii2i2−i2−i200000000−2200000
χ432-2-2-222-22200200-2-2−2i2i−2i2i00−2−2222-200000000−2200i2−i2i2−i2−2i2ii2i2−i2−i200000000−2200000
χ442-2-2-222-22200200-2-2−2i2i−2i2i00−2−222-2200000000−2200i2−i2i2−i22i−2i−i2−i2i2i2000000002−200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-44-4-4400-400-444-4-44000000000000000000000000000000000000000000000
χ47444-4-44-4-4400-400-44-444-4000000000000000000000000000000000000000000000
χ48444-4-44-4-4-4004004-400000000000000000000000022−22−2222000000000000000000000
χ49444-4-44-4-4-4004004-4000000000000000000000000−222222−22000000000000000000000
χ5044-444-4-4-404-404-40000000000000000000000000000000022−2222−22000000000000000
χ5144-444-4-4-404-404-400000000000000000000000000000000−2222−2222000000000000000
χ5244-444-4-4-40-440-44000000004-44-4000000000000000000000000000000000000000
χ5344-444-4-4-40-440-4400000000-44-44000000000000000000000000000000000000000
χ544-444-4-4-4404-40-440000000000000000000000000000000000000000000000002i2−2i20
χ554-444-4-4-4404-40-44000000000000000000000000000000000000000000000000−2i22i20
χ564-444-4-4-440-4404-400000000000000004i−4i000000000000000000000000000000000
χ574-444-4-4-440-4404-40000000000000000−4i4i000000000000000000000000000000000
χ584-44-44-44-40000000000000022−22−22220000000000002i2−2i20000002i−2i−2i2i000000000000000
χ594-44-44-44-40000000000000022−22−2222000000000000−2i22i2000000−2i2i2i−2i000000000000000
χ604-44-44-44-400000000000000−222222−220000000000002i2−2i2000000−2i2i2i−2i000000000000000
χ614-44-44-44-400000000000000−222222−22000000000000−2i22i20000002i−2i−2i2i000000000000000
χ624-4-44-444-4-4-4-4444-440000-440000000000000000000000000000000000000000000
χ634-4-4-444-44-400-400440000002222−22−220000000000−2222000000000000000000000000000
χ644-4-4-444-44-400-40044000000−22−222222000000000022−22000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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