Finite Group Databasebeta

← Group #282947

Character table — Group #282947

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111111-1-1-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111111-1-1-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1111-1-111-1-111-1
χ17222222222-2-222-22-2-20000-22222220022-2-200-2-200000000000000000-2000000000
χ18222222222-2-222-22-2-20000-22222-2-200-2-22200-2-2000000000000000002000000000
χ19222222222-2-222-22-2-20000-2-2-2-2-22200-2-2-2-20022000000000000000002000000000
χ20222222222-2-222-22-2-20000-2-2-2-2-2-2-2002222002200000000000000000-2000000000
χ2122222222-222-2-22-22-22222-2000000-2-200002200-2-2000022000000-2000000000000
χ2222222222-222-2-22-22-22222-2000000-2-20000-2-200220000-2-20000002000000000000
χ2322222222-222-2-22-22-2-2-2-2-2-20000002200002200220000-2-2000000-2000000000000
χ2422222222-222-2-22-22-2-2-2-2-2-2000000220000-2-200-2-20000220000002000000000000
χ252-22-2-22-22222-2-2-22-222i2i−2i−2i-200002-22i−2i002-200000000000000000002i−2i0000000000
χ262-22-2-22-22222-2-2-22-222i2i−2i−2i-20000-222i−2i00-220000000000000000000−2i2i0000000000
χ272-22-2-22-22222-2-2-22-22−2i−2i2i2i-200002-2−2i2i002-20000000000000000000−2i2i0000000000
χ282-22-2-22-22222-2-2-22-22−2i−2i2i2i-20000-22−2i2i00-2200000000000000000002i−2i0000000000
χ292-22-2-22-222-2-2-2-2222-20000200002-20000-2200000022-2-20000000000002-20000000
χ302-22-2-22-222-2-2-2-2222-20000200002-20000-22000000-2-222000000000000-220000000
χ312-22-2-22-222-2-2-2-2222-2000020000-2200002-200000022-2-2000000000000-220000000
χ322-22-2-22-222-2-2-2-2222-2000020000-2200002-2000000-2-2220000000000002-20000000
χ332-22-2-22-22-22222-2-2-2-22i2i−2i−2i2000000−2i2i000000000000000000002-2000000002i−2i000
χ342-22-2-22-22-22222-2-2-2-22i2i−2i−2i2000000−2i2i00000000000000000000-2200000000−2i2i000
χ352-22-2-22-22-22222-2-2-2-2−2i−2i2i2i20000002i−2i000000000000000000002-200000000−2i2i000
χ362-22-2-22-22-22222-2-2-2-2−2i−2i2i2i20000002i−2i00000000000000000000-22000000002i−2i000
χ372-2-22-2-22202-200-20202-22-2022−2−2000000002-22−2002−22−22-222−2−2000000002−200000
χ382-2-22-2-22202-200-20202-22-2022−2−200000000-222−2002−22−2-22−2−22200000000−2200000
χ392-2-22-2-22202-200-20202-22-20−2−222000000002-2−2200−22−222-2−2−22200000000−2200000
χ402-2-22-2-22202-200-20202-22-20−2−22200000000-22−2200−22−22-2222−2−2000000002−200000
χ412-2-22-2-22202-200-2020-22-22022−2−2000000002-22−200−22−22-22−2−222000000002−200000
χ422-2-22-2-22202-200-2020-22-22022−2−200000000-222−200−22−222-222−2−200000000−2200000
χ432-2-22-2-22202-200-2020-22-220−2−222000000002-2−22002−22−2-2222−2−200000000−2200000
χ442-2-22-2-22202-200-2020-22-220−2−22200000000-22−22002−22−22-2−2−222000000002−200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ464444-4-4-4-44004-40-400000004-44-4000000000000000000000000000000000000000
χ474444-4-4-4-44004-40-40000000-44-44000000000000000000000000000000000000000
χ484444-4-4-4-4-400-440400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ494444-4-4-4-4-400-44040000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-4-44-4-4404-40040-404i−4i−4i4i00000000000000000000000000000000000000000000
χ5144-4-44-4-4404-40040-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ5244-4-44-4-440-4400-40400000000000000000000000022−22−2222000000000000000000000
χ5344-4-44-4-440-4400-404000000000000000000000000−222222−22000000000000000000000
χ544-44-44-44-4400-440-40000000000000004i−4i000000000000000000000000000000000
χ554-44-44-44-4400-440-4000000000000000−4i4i000000000000000000000000000000000
χ564-44-44-44-4-4004-4040000000000000000000000000000000000000000000000022−220
χ574-44-44-44-4-4004-40400000000000000000000000000000000000000000000000−22220
χ584-44-4-44-44-4-4-4444-4440000-40000000000000000000000000000000000000000000
χ594-4-4444-4-40000000000000022−22−22220000000000002i2−2i20000002i−2i−2i2i000000000000000
χ604-4-4444-4-40000000000000022−22−2222000000000000−2i22i2000000−2i2i2i−2i000000000000000
χ614-4-4444-4-400000000000000−222222−220000000000002i2−2i2000000−2i2i2i−2i000000000000000
χ624-4-4444-4-400000000000000−222222−22000000000000−2i22i20000002i−2i−2i2i000000000000000
χ634-4-44-4-4440-440040-40000002222−22−220000000000−2222000000000000000000000000000
χ644-4-44-4-4440-440040-4000000−22−222222000000000022−22000000000000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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