Finite Group Databasebeta

← Group #269859

Character table — Group #269859

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888224444444488888888888888222244448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11111-11-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1111111-1-1-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-11111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111-1-1-111-1-111-1
χ17222222222-2-22-222-20000-2-22222220022-2-200-2-20000000000000000-20000000000
χ18222222222-2-22-222-20000-2-22222-2-200-2-22200-2-2000000000000000020000000000
χ19222222222-2-22-222-20000-2-2-2-2-2-22200-2-2-2-20022000000000000000020000000000
χ20222222222-2-22-222-20000-2-2-2-2-2-2-2-200222200220000000000000000-20000000000
χ2122222222-222-22-2-222222-2-2000000-2-200002200-2-2000022000000000-2000000000
χ2222222222-222-22-2-222222-2-2000000-2-20000-2-200220000-2-20000000002000000000
χ2322222222-222-22-2-22-2-2-2-2-2-20000002200002200220000-2-2000000000-2000000000
χ2422222222-222-22-2-22-2-2-2-2-2-2000000220000-2-200-2-20000220000000002000000000
χ252-2-22-2-22202-20-200222-2-20022−2−2000000002-22−20022−2−22-222−2−2000000002−200000
χ262-2-22-2-22202-20-200222-2-20022−2−200000000-222−20022−2−2-22−2−22200000000−2200000
χ272-2-22-2-22202-20-200222-2-200−2−222000000002-2−2200−2−2222-2−2−22200000000−2200000
χ282-2-22-2-22202-20-200222-2-200−2−22200000000-22−2200−2−222-2222−2−2000000002−200000
χ292-2-22-2-22202-20-2002-2-2220022−2−2000000002-22−200−2−222-22−2−222000000002−200000
χ302-2-22-2-22202-20-2002-2-2220022−2−200000000-222−200−2−2222-222−2−200000000−2200000
χ312-2-22-2-22202-20-2002-2-22200−2−222000000002-2−220022−2−2-2222−2−200000000−2200000
χ322-2-22-2-22202-20-2002-2-22200−2−22200000000-22−220022−2−22-2−2−222000000002−200000
χ332-2-2-222-22222-2-22-2-200002-200002-200002-20000002i−2i2i−2i0000000000002i−2i0000000
χ342-2-2-222-22222-2-22-2-200002-200002-200002-2000000−2i2i−2i2i000000000000−2i2i0000000
χ352-2-2-222-22222-2-22-2-200002-20000-220000-220000002i−2i2i−2i000000000000−2i2i0000000
χ362-2-2-222-22222-2-22-2-200002-20000-220000-22000000−2i2i−2i2i0000000000002i−2i0000000
χ372-2-2-222-222-2-2-222-222-22-2-2200002-22-200-2200000000000000002-20000000000000
χ382-2-2-222-222-2-2-222-222-22-2-220000-222-2002-20000000000000000-220000000000000
χ392-2-2-222-222-2-2-222-22-22-22-2200002-2-2200-220000000000000000-220000000000000
χ402-2-2-222-222-2-2-222-22-22-22-220000-22-22002-200000000000000002-20000000000000
χ412-2-2-222-22-2-2-222-2222-22-22-2000000-2200000000000000000000002-20000002-2000
χ422-2-2-222-22-2-2-222-2222-22-22-2000000-220000000000000000000000-22000000-22000
χ432-2-2-222-22-2-2-222-222-22-222-20000002-200000000000000000000002-2000000-22000
χ442-2-2-222-22-2-2-222-222-22-222-20000002-20000000000000000000000-220000002-2000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-4404-40400-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ47444-4-4-4-4404-40400-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ48444-4-4-4-440-440-40044-4-44000000000000000000000000000000000000000000000
χ49444-4-4-4-440-440-4004-444-4000000000000000000000000000000000000000000000
χ5044-444-4-4-4000000000000002i2−2i22i2−2i200000000000022−220000002i−2i2i−2i000000000000000
χ5144-444-4-4-4000000000000002i2−2i22i2−2i2000000000000−2222000000−2i2i−2i2i000000000000000
χ5244-444-4-4-400000000000000−2i22i2−2i22i200000000000022−22000000−2i2i−2i2i000000000000000
χ5344-444-4-4-400000000000000−2i22i2−2i22i2000000000000−22220000002i−2i2i−2i000000000000000
χ5444-4-4-444-440040-4-4000000000000000000000000000000000000000000000002i2−2i20
χ5544-4-4-444-440040-4-400000000000000000000000000000000000000000000000−2i22i20
χ5644-4-4-444-4-400-40440000000000000004-4000000000000000000000000000000000
χ5744-4-4-444-4-400-4044000000000000000-44000000000000000000000000000000000
χ584-444-44-4-4400-40-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ594-444-44-4-4400-40-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ604-444-44-4-4-400404-400000004i−4i−4i4i000000000000000000000000000000000000000
χ614-444-44-4-4-400404-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ624-4-44-4-4440-440400-40000002222−22−220000000000−2222000000000000000000000000000
χ634-4-44-4-4440-440400-4000000−22−222222000000000022−22000000000000000000000000000
χ644-4-4-444-44-4444-4-44-40000-440000000000000000000000000000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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