Finite Group Databasebeta

← Group #316439

Character table — Group #316439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444442244448888224444888888888844444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1
χ91111111111111111-1-111-1-1111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111
χ101111111111111111-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1
χ111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ121111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111
χ131111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ141111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1
χ17222222222-222-2-22-222-2-2-2-20000222-2-2-200000000002-2000000000000000000
χ18222222222-222-2-22-222-2-2-2-20000-2-22-2220000000000-22000000000000000000
χ19222222222-222-2-22-2-2-2-2-222000022-22-2-20000000000-22000000000000000000
χ20222222222-222-2-22-2-2-2-2-2220000-2-2-222200000000002-2000000000000000000
χ2122222222-22-2-222-2222-2-222222200-2-200-2-2-2-222000000000000000000000000
χ2222222222-22-2-222-2222-2-222-2-2-2-200-2-2002222-2-2000000000000000000000000
χ2322222222-22-2-222-22-2-2-2-2-2-22222002200-2-222-2-2000000000000000000000000
χ2422222222-22-2-222-22-2-2-2-2-2-2-2-2-2-200220022-2-222000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2000000-22000000002i2i−2i−2i00000000002i−2i00000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2000000-2200000000−2i−2i2i2i0000000000−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000002-2000000002i2i−2i−2i0000000000−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220000002-200000000−2i−2i2i2i00000000002i−2i00000000
χ292-2-222-2-2222-2-22-22-2002-2002i2i−2i−2i0000002i−2i00000000002i−2i002-2000000000000
χ302-2-222-2-2222-2-22-22-2002-2002i2i−2i−2i0000002i−2i0000000000−2i2i00-22000000000000
χ312-2-222-2-2222-2-22-22-2002-200−2i−2i2i2i000000−2i2i00000000002i−2i00-22000000000000
χ322-2-222-2-2222-2-22-22-2002-200−2i−2i2i2i000000−2i2i0000000000−2i2i002-2000000000000
χ332-2-222-2-22-22222-2-2-200-22002i2i−2i−2i000000−2i2i0000000000002i−2i002-20000000000
χ342-2-222-2-22-22222-2-2-200-22002i2i−2i−2i000000−2i2i000000000000−2i2i00-220000000000
χ352-2-222-2-22-22222-2-2-200-2200−2i−2i2i2i0000002i−2i0000000000002i−2i00-220000000000
χ362-2-222-2-22-22222-2-2-200-2200−2i−2i2i2i0000002i−2i000000000000−2i2i002-20000000000
χ372-2-2-2-22220-2002-2022-2002-22-22-200000000002-200000000000000002−22−22−22−2
χ382-2-2-2-22220-2002-2022-2002-22-22-200000000002-20000000000000000−22−22−22−22
χ392-2-2-2-22220-2002-2022-2002-2-22-220000000000-2200000000000000002−2−222−2−22
χ402-2-2-2-22220-2002-2022-2002-2-22-220000000000-220000000000000000−222−2−222−2
χ412-2-2-2-22220-2002-202-2200-222-22-20000000000-2200000000000000002−2−22−222−2
χ422-2-2-2-22220-2002-202-2200-222-22-20000000000-220000000000000000−222−22−2−22
χ432-2-2-2-22220-2002-202-2200-22-22-2200000000002-200000000000000002−22−2−22−22
χ442-2-2-2-22220-2002-202-2200-22-22-2200000000002-20000000000000000−22−222−22−2
χ45444-4-4-4-440400-4-4040000000000000000004i−4i00000000000000000000000000
χ46444-4-4-4-440400-4-404000000000000000000−4i4i00000000000000000000000000
χ47444-4-4-4-440-400440-40000004i−4i−4i4i000000000000000000000000000000000000
χ48444-4-4-4-440-400440-4000000−4i4i4i−4i000000000000000000000000000000000000
χ4944-44-44-4-4404-400-40000000000000000000000022−2222−2200000000000000000000
χ5044-44-44-4-4404-400-400000000000000000000000−2222−222200000000000000000000
χ5144-44-44-4-4-40-44004000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5244-44-44-4-4-40-4400400000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-444-4-44-440-4400-4000000000004-40000000000000000000000000000000000
χ544-444-4-44-440-4400-400000000000-440000000000000000000000000000000000
χ554-444-4-44-4-404-40040000000000000004i−4i000000000000000000000000000000
χ564-444-4-44-4-404-4004000000000000000−4i4i000000000000000000000000000000
χ574-4-444-4-444-4-4-4-444400-44000000000000000000000000000000000000000000
χ584-4-444-4-44-4-444-44-44004-4000000000000000000000000000000000000000000
χ594-4-4-4-44440400-440-44-400-440000000000000000000000000000000000000000
χ604-4-4-4-44440400-440-4-44004-40000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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