Finite Group Databasebeta

← Group #310595

Character table — Group #310595

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-111111111111111-1-1-1-1-1-1-11-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-111-1-111-1
χ91111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-111-1-1111111-1-1-1-1111111-1-11-1-1-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11111-1-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-111111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-11111-1
χ17222222222-2-22-2-2220000-2-222222200-2-200-2-200000000-2-20000002000000000000
χ18222222222-2-22-2-2220000-2-22222-2-20022002200000000-2-2000000-2000000000000
χ19222222222-2-22-2-2220000-2-2-2-2-2-222002200-2-20000000022000000-2000000000000
χ20222222222-2-22-2-2220000-2-2-2-2-2-2-2-200-2-2002200000000220000002000000000000
χ2122222222-222-222-2-22222-2-20000002200-2-20022-2-200000000000000000-20000000
χ2222222222-222-222-2-22222-2-2000000-2-200-2-200-2-2220000000000000000020000000
χ2322222222-222-222-2-2-2-2-2-2-2-200000022002200-2-22200000000000000000-20000000
χ2422222222-222-222-2-2-2-2-2-2-2-2000000-2-200220022-2-20000000000000000020000000
χ252-222-2-2-2202-202-2002i2i−2i−2i00i2i2−i2−i2002i−2i0000002-20022−2−2i2−i2i2i2−i2−i20000000000002−20
χ262-222-2-2-2202-202-2002i2i−2i−2i00i2i2−i2−i200−2i2i000000-220022−2−2i2−i2−i2−i2i2i2000000000000−220
χ272-222-2-2-2202-202-2002i2i−2i−2i00−i2−i2i2i2002i−2i0000002-200−2−222−i2i2−i2−i2i2i2000000000000−220
χ282-222-2-2-2202-202-2002i2i−2i−2i00−i2−i2i2i200−2i2i000000-2200−2−222−i2i2i2i2−i2−i20000000000002−20
χ292-222-2-2-2202-202-200−2i−2i2i2i00i2i2−i2−i2002i−2i000000-2200−2−222i2−i2−i2−i2i2i20000000000002−20
χ302-222-2-2-2202-202-200−2i−2i2i2i00i2i2−i2−i200−2i2i0000002-200−2−222i2−i2i2i2−i2−i2000000000000−220
χ312-222-2-2-2202-202-200−2i−2i2i2i00−i2−i2i2i2002i−2i000000-220022−2−2−i2i2i2i2−i2−i2000000000000−220
χ322-222-2-2-2202-202-200−2i−2i2i2i00−i2−i2i2i200−2i2i0000002-20022−2−2−i2i2−i2−i2i2i20000000000002−20
χ332-22-2-222-2222-2-2-22-22i−2i2i−2i-2200002i−2i00002i−2i2i−2i000000000000002-20000000000000
χ342-22-2-222-2222-2-2-22-22i−2i2i−2i-220000−2i2i00002i−2i−2i2i00000000000000-220000000000000
χ352-22-2-222-2222-2-2-22-2−2i2i−2i2i-2200002i−2i0000−2i2i2i−2i00000000000000-220000000000000
χ362-22-2-222-2222-2-2-22-2−2i2i−2i2i-220000−2i2i0000−2i2i−2i2i000000000000002-20000000000000
χ372-22-2-222-22-2-2-2222-200002-200002i−2i000000−2i2i00002-22-2000000000002i−2i00000000
χ382-22-2-222-22-2-2-2222-200002-200002i−2i000000−2i2i0000-22-2200000000000−2i2i00000000
χ392-22-2-222-22-2-2-2222-200002-20000−2i2i0000002i−2i00002-22-200000000000−2i2i00000000
χ402-22-2-222-22-2-2-2222-200002-20000−2i2i0000002i−2i0000-22-22000000000002i−2i00000000
χ412-22-2-222-2-2222-2-2-222i−2i2i−2i2-20000000000−2i2i00000000000000000002-20002i−2i00000
χ422-22-2-222-2-2222-2-2-222i−2i2i−2i2-20000000000−2i2i0000000000000000000-22000−2i2i00000
χ432-22-2-222-2-2222-2-2-22−2i2i−2i2i2-200000000002i−2i00000000000000000002-2000−2i2i00000
χ442-22-2-222-2-2222-2-2-22−2i2i−2i2i2-200000000002i−2i0000000000000000000-220002i−2i00000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-404-40-44004-4-44000000000000000000000000000000000000000000000
χ47444-44-4-4-404-40-4400-444-4000000000000000000000000000000000000000000000
χ48444-44-4-4-40-4404-40000000000000000000000000022−22−2222000000000000000000000
χ49444-44-4-4-40-4404-400000000000000000000000000−222222−22000000000000000000000
χ5044-44-44-4-4400400-4-400000000000000000000000000000022−2222−22000000000000000
χ5144-44-44-4-4400400-4-4000000000000000000000000000000−2222−2222000000000000000
χ5244-44-44-4-4-400-400440000004i−4i4i−4i000000000000000000000000000000000000000
χ5344-44-44-4-4-400-40044000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-444-4-4-440-440-44000000002i22i2−2i2−2i2000000000000000000−2i22i20000000000000000000
χ554-444-4-4-440-440-4400000000−2i2−2i22i22i20000000000000000002i2−2i20000000000000000000
χ564-44-4-444-4-4-4-4444-440000-440000000000000000000000000000000000000000000
χ574-4-444-44-40000000000000022−22−22220000000000002i2−2i20000002i−2i−2i2i000000000000000
χ584-4-444-44-40000000000000022−22−2222000000000000−2i22i2000000−2i2i2i−2i000000000000000
χ594-4-444-44-400000000000000−222222−220000000000002i2−2i2000000−2i2i2i−2i000000000000000
χ604-4-444-44-400000000000000−222222−22000000000000−2i22i20000002i−2i−2i2i000000000000000
χ614-4-4-444-44400-400-440000000000000000000000000000000000000000000022−22000
χ624-4-4-444-44400-400-4400000000000000000000000000000000000000000000−2222000
χ634-4-4-444-44-4004004-4000000000000004-4000000000000000000000000000000000
χ644-4-4-444-44-4004004-400000000000000-44000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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