Finite Group Databasebeta

← Group #310437

Character table — Group #310437

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-11-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-11111111-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ101111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1111-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-111-1
χ17222222222-2-22-2-2222222-2-2000000000022-2-200220000-2-200000000-20000000000
χ18222222222-2-22-2-2222222-2-20000000000-2-2-2-200-2-20000220000000020000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20000000000222200-2-200002200000000-20000000000
χ20222222222-2-22-2-222-2-2-2-2-2-20000000000-2-22200220000-2-20000000020000000000
χ2122222222-222-222-2-20000-2-2222222-2-2-2-20000-2-2000000000000000002000000000
χ2222222222-222-222-2-20000-2-22222-2-222220000-2-200000000000000000-2000000000
χ2322222222-222-222-2-20000-2-2-2-2-2-22222-2-200002200000000000000000-2000000000
χ2422222222-222-222-2-20000-2-2-2-2-2-2-2-2-2-222000022000000000000000002000000000
χ2522-2-2-222-2222-2-2-22-22i2i−2i−2i-2200002i−2i002i−2i002i−2i000000000000002-20000000000000
χ2622-2-2-222-2222-2-2-22-22i2i−2i−2i-220000−2i2i00−2i2i002i−2i00000000000000-220000000000000
χ2722-2-2-222-2222-2-2-22-2−2i−2i2i2i-2200002i−2i002i−2i00−2i2i00000000000000-220000000000000
χ2822-2-2-222-2222-2-2-22-2−2i−2i2i2i-220000−2i2i00−2i2i00−2i2i000000000000002-20000000000000
χ2922-2-2-222-22-2-2-2222-22i2i−2i−2i2-2000000000000−2i2i000000000000000000002i−2i002-2000
χ3022-2-2-222-22-2-2-2222-22i2i−2i−2i2-2000000000000−2i2i00000000000000000000−2i2i00-22000
χ3122-2-2-222-22-2-2-2222-2−2i−2i2i2i2-20000000000002i−2i000000000000000000002i−2i00-22000
χ3222-2-2-222-22-2-2-2222-2−2i−2i2i2i2-20000000000002i−2i00000000000000000000−2i2i002-2000
χ3322-2-2-222-2-2222-2-2-2200002-200002i−2i00−2i2i000000002i2i−2i−2i000000002-200000000000
χ3422-2-2-222-2-2222-2-2-2200002-200002i−2i00−2i2i00000000−2i−2i2i2i00000000-2200000000000
χ3522-2-2-222-2-2222-2-2-2200002-20000−2i2i002i−2i000000002i2i−2i−2i00000000-2200000000000
χ3622-2-2-222-2-2222-2-2-2200002-20000−2i2i002i−2i00000000−2i−2i2i2i000000002-200000000000
χ372-22-222-2-2200-200-222-22-200i2i2−i2−i20000002i−2i00i2−i22i−2ii2−i2i2−i20022−2−2000000002−200000
χ382-22-222-2-2200-200-222-22-200i2i2−i2−i2000000−2i2i00i2−i2−2i2ii2−i2i2−i200−2−22200000000−2200000
χ392-22-222-2-2200-200-222-22-200−i2−i2i2i20000002i−2i00−i2i22i−2i−i2i2−i2i200−2−22200000000−2200000
χ402-22-222-2-2200-200-222-22-200−i2−i2i2i2000000−2i2i00−i2i2−2i2i−i2i2−i2i20022−2−2000000002−200000
χ412-22-222-2-2200-200-22-22-2200i2i2−i2−i20000002i−2i00i2−i2−2i2i−i2i2−i2i200−2−222000000002−200000
χ422-22-222-2-2200-200-22-22-2200i2i2−i2−i2000000−2i2i00i2−i22i−2i−i2i2−i2i20022−2−200000000−2200000
χ432-22-222-2-2200-200-22-22-2200−i2−i2i2i20000002i−2i00−i2i2−2i2ii2−i2i2−i20022−2−200000000−2200000
χ442-22-222-2-2200-200-22-22-2200−i2−i2i2i2000000−2i2i00−i2i22i−2ii2−i2i2−i200−2−222000000002−200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-404-404-400000000000000000000000000000000000000000000000022−220
χ474444-4-4-4-404-404-4000000000000000000000000000000000000000000000000−22220
χ484444-4-4-4-40-440-44000000000000004-400000000000000000000000000000000000
χ494444-4-4-4-40-440-4400000000000000-4400000000000000000000000000000000000
χ5044-4-44-4-4404-40-44000000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5144-4-44-4-4404-40-4400000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5244-4-44-4-440-4404-4000000004i−4i4i−4i000000000000000000000000000000000000000
χ5344-4-44-4-440-4404-400000000−4i4i−4i4i000000000000000000000000000000000000000
χ5444-4-4-444-4-4-4-4444-440000-440000000000000000000000000000000000000000000
χ554-44-444-4-4-4004004-40000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ564-44-444-4-4-4004004-4000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ574-4-444-44-40000000000000022−22−22220000000000000000002i2−2i22i−2i−2i2i000000000000000
χ584-4-444-44-40000000000000022−22−2222000000000000000000−2i22i2−2i2i2i−2i000000000000000
χ594-4-444-44-400000000000000−222222−220000000000000000002i2−2i2−2i2i2i−2i000000000000000
χ604-4-444-44-400000000000000−222222−22000000000000000000−2i22i22i−2i−2i2i000000000000000
χ614-4-44-44-44400400-4-44i−4i−4i4i000000000000000000000000000000000000000000000
χ624-4-44-44-44400400-4-4−4i4i4i−4i000000000000000000000000000000000000000000000
χ634-4-44-44-44-400-4004400000000000000000000000022−22−2222000000000000000000000
χ644-4-44-44-44-400-40044000000000000000000000000−222222−22000000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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