Finite Group Databasebeta

← Group #283220

Character table — Group #283220

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-11111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111
χ91111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-1111111-1-1111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-1-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1111-1-11111-1-111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111
χ1722222222222-2-2-2-220000-2-22222002222-2-2000000-2-200000000000-200000000000
χ1822222222222-2-2-2-220000-2-2222200-2-2-2-222000000-2-200000000000200000000000
χ1922222222222-2-2-2-220000-2-2-2-2-2-20022-2-2220000002200000000000-200000000000
χ2022222222222-2-2-2-220000-2-2-2-2-2-200-2-222-2-20000002200000000000200000000000
χ2122222222-2-2-22222-22222-2-2000022000000-2-222-2-20000000000-200000000000000
χ2222222222-2-2-22222-22222-2-20000-2-2000000-2-2-2-2220000000000200000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-200002200000022-2-2220000000000-200000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-20000-2-20000002222-2-20000000000200000000000000
χ252-2-222-2-2222-222-2-2-20000-22000000002i−2i2i−2i000000002i2i−2i−2i000000002-2000000000
χ262-2-222-2-2222-222-2-2-20000-22000000002i−2i2i−2i00000000−2i−2i2i2i00000000-22000000000
χ272-2-222-2-2222-222-2-2-20000-2200000000−2i2i−2i2i000000002i2i−2i−2i00000000-22000000000
χ282-2-222-2-2222-222-2-2-20000-2200000000−2i2i−2i2i00000000−2i−2i2i2i000000002-2000000000
χ292-2-222-2-2222-2-2-222-222-2-22-2000000002i−2i−2i2i2-20000000000000002i−2i000000000000
χ302-2-222-2-2222-2-2-222-222-2-22-200000000−2i2i2i−2i2-2000000000000000−2i2i000000000000
χ312-2-222-2-2222-2-2-222-2-2-2222-2000000002i−2i−2i2i-22000000000000000−2i2i000000000000
χ322-2-222-2-2222-2-2-222-2-2-2222-200000000−2i2i2i−2i-220000000000000002i−2i000000000000
χ332-2-222-2-22-2-22-2-222222-2-2-22000000000000-22000000000000000000002-2002-2000
χ342-2-222-2-22-2-22-2-222222-2-2-22000000000000-2200000000000000000000-2200-22000
χ352-2-222-2-22-2-22-2-2222-2-222-220000000000002-2000000000000000000002-200-22000
χ362-2-222-2-22-2-22-2-2222-2-222-220000000000002-200000000000000000000-22002-2000
χ372-2-22-222-20002-22-202-22-200i2i2−i2−i22i−2i000000002i−2i00i2−i2i2−i2i2−i222−2−20000000000002−20
χ382-2-22-222-20002-22-202-22-200i2i2−i2−i2−2i2i00000000−2i2i00i2−i2i2−i2i2−i2−2−222000000000000−220
χ392-2-22-222-20002-22-202-22-200−i2−i2i2i22i−2i000000002i−2i00−i2i2−i2i2−i2i2−2−222000000000000−220
χ402-2-22-222-20002-22-202-22-200−i2−i2i2i2−2i2i00000000−2i2i00−i2i2−i2i2−i2i222−2−20000000000002−20
χ412-2-22-222-20002-22-20-22-2200i2i2−i2−i22i−2i00000000−2i2i00i2−i2−i2i2−i2i2−2−2220000000000002−20
χ422-2-22-222-20002-22-20-22-2200i2i2−i2−i2−2i2i000000002i−2i00i2−i2−i2i2−i2i222−2−2000000000000−220
χ432-2-22-222-20002-22-20-22-2200−i2−i2i2i22i−2i00000000−2i2i00−i2i2i2−i2i2−i222−2−2000000000000−220
χ442-2-22-222-20002-22-20-22-2200−i2−i2i2i2−2i2i000000002i−2i00−i2i2i2−i2i2−i2−2−2220000000000002−20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-40004-4-4400000000000000000000000000022−22−22220000000000000000000
χ474444-4-4-4-40004-4-44000000000000000000000000000−222222−220000000000000000000
χ484444-4-4-4-4000-444-404-4-44000000000000000000000000000000000000000000000
χ494444-4-4-4-4000-444-40-444-4000000000000000000000000000000000000000000000
χ5044-4-44-44-44-440000-400000000000000000000000000000022−2222−22000000000000000
χ5144-4-44-44-44-440000-4000000000000000000000000000000−2222−2222000000000000000
χ5244-4-44-44-4-44-4000040000004i−4i4i−4i000000000000000000000000000000000000000
χ5344-4-44-44-4-44-400004000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-44-444-4-44-4-4000040000000000000000000000000000000000000000002i2−2i200000
χ554-44-444-4-44-4-400004000000000000000000000000000000000000000000−2i22i200000
χ564-44-444-4-4-4440000-40000000000004-400000000000000000000000000000000000
χ574-44-444-4-4-4440000-4000000000000-4400000000000000000000000000000000000
χ584-44-4-4-4440000000000000022−22−222200000000000022−220000002-2-22000000000000000
χ594-44-4-4-4440000000000000022−22−2222000000000000−2222000000-222-2000000000000000
χ604-44-4-4-44400000000000000−222222−2200000000000022−22000000-222-2000000000000000
χ614-44-4-4-44400000000000000−222222−22000000000000−22220000002-2-22000000000000000
χ624-4-444-4-44-4-4444-4-4400004-40000000000000000000000000000000000000000000
χ634-4-44-444-4000-44-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ644-4-44-444-4000-44-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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