Finite Group Databasebeta

← Group #269855

Character table — Group #269855

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888224444444488888888888888222444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-11-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1111-111-1-1-1-111-1-1-1
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
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111-1-1-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-11-11111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1111-1-111-1-111-1
χ172222222222-22-2-2-222222-2-20000000000-2-22200-2-2000022000000-2000000000000
χ182222222222-22-2-2-222222-2-20000000000-2-2-2-200220000-2-20000002000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000000000222200220000-2-2000000-2000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2000000000022-2-200-2-20000220000002000000000000
χ2122222222-2-22-2222-20000-2-2222222-2-2220000-2-2000000000000000-200000000000
χ2222222222-2-22-2222-20000-2-22222-2-222-2-20000-2-2000000000000000200000000000
χ2322222222-2-22-2222-20000-2-2-2-2-2-222-2-2-2-2000022000000000000000200000000000
χ2422222222-2-22-2222-20000-2-2-2-2-2-2-2-22222000022000000000000000-200000000000
χ252-2-222-22-22-202000-222-2-20022−2−2000000002i−2i2−20022−2−22i−2ii2i2−i2−i200000000i2−i200000
χ262-2-222-22-22-202000-222-2-20022−2−200000000−2i2i2−20022−2−2−2i2i−i2−i2i2i200000000−i2i200000
χ272-2-222-22-22-202000-222-2-200−2−222000000002i−2i−2200−2−2222i−2i−i2−i2i2i200000000−i2i200000
χ282-2-222-22-22-202000-222-2-200−2−22200000000−2i2i−2200−2−222−2i2ii2i2−i2−i200000000i2−i200000
χ292-2-222-22-22-202000-2-2-2220022−2−2000000002i−2i2−200−2−222−2i2i−i2−i2i2i200000000i2−i200000
χ302-2-222-22-22-202000-2-2-2220022−2−200000000−2i2i2−200−2−2222i−2ii2i2−i2−i200000000−i2i200000
χ312-2-222-22-22-202000-2-2-22200−2−222000000002i−2i−220022−2−2−2i2ii2i2−i2−i200000000−i2i200000
χ322-2-222-22-22-202000-2-2-22200−2−22200000000−2i2i−220022−2−22i−2i−i2−i2i2i200000000i2−i200000
χ332-2-2-222-22222-2-22-2-200002-200002-22-200000000002i−2i2i−2i0000000000002i−2i0000000
χ342-2-2-222-22222-2-22-2-200002-200002-22-20000000000−2i2i−2i2i000000000000−2i2i0000000
χ352-2-2-222-22222-2-22-2-200002-20000-22-2200000000002i−2i2i−2i000000000000−2i2i0000000
χ362-2-2-222-22222-2-22-2-200002-20000-22-220000000000−2i2i−2i2i0000000000002i−2i0000000
χ372-2-2-222-22-2-222-22-222-22-2-2200002-2-22002-200000000000000002-20000000000000
χ382-2-2-222-22-2-222-22-222-22-2-220000-222-2002-20000000000000000-220000000000000
χ392-2-2-222-22-2-222-22-22-22-22-2200002-2-2200-220000000000000000-220000000000000
χ402-2-2-222-22-2-222-22-22-22-22-220000-222-200-2200000000000000002-20000000000000
χ412-2-2-222-22-2-2-222-2222-22-22-20000000000-22000000000000000000002-200002-2000
χ422-2-2-222-22-2-2-222-2222-22-22-20000000000-2200000000000000000000-220000-22000
χ432-2-2-222-22-2-2-222-222-22-222-200000000002-2000000000000000000002-20000-22000
χ442-2-2-222-22-2-2-222-222-22-222-200000000002-200000000000000000000-2200002-2000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-44-40-400040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ47444-44-4-4-44-40-40004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ48444-44-4-4-4-4404000-44-4-44000000000000000000000000000000000000000000000
χ49444-44-4-4-4-4404000-4-444-4000000000000000000000000000000000000000000000
χ5044-44-44-4-4000000000000002i2−2i22i2−2i200000000000022−220000002i−2i2i−2i000000000000000
χ5144-44-44-4-4000000000000002i2−2i22i2−2i2000000000000−2222000000−2i2i−2i2i000000000000000
χ5244-44-44-4-400000000000000−2i22i2−2i22i200000000000022−22000000−2i2i−2i2i000000000000000
χ5344-44-44-4-400000000000000−2i22i2−2i22i2000000000000−22220000002i−2i2i−2i000000000000000
χ5444-4-4-4-4440040-4-440000000000000004-4000000000000000000000000000000000
χ5544-4-4-4-4440040-4-44000000000000000-44000000000000000000000000000000000
χ5644-4-4-4-44400-4044-40000000000000000000000000000000000000000000000022−220
χ5744-4-4-4-44400-4044-400000000000000000000000000000000000000000000000−22220
χ584-444-4-4-4400404-4-400000004i−4i−4i4i000000000000000000000000000000000000000
χ594-444-4-4-4400404-4-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ604-444-4-4-4400-40-444000000000000000000000000000000022−22−2222000000000000000
χ614-444-4-4-4400-40-4440000000000000000000000000000000−222222−22000000000000000
χ624-4-444-44-4-440-400040000002222−22−220000000000−2222000000000000000000000000000
χ634-4-444-44-4-440-40004000000−22−222222000000000022−22000000000000000000000000000
χ644-4-4-444-4444-4-44-44-40000-440000000000000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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