Finite Group Databasebeta

← Group #347804

Character table — Group #347804

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444444488888888244444444444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ12111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-222-2-2-2-22222-2-2-2-222-20000-2000022-2-200000000000000000000
χ182222222222-2-222-2-2-2-22222-2-2-2-2-2-22000020000-2-22200000000000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-2222222-20000-20000-2-22200000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-22222-2-2200002000022-2-200000000000000000000
χ2122222222-2-222-2-222-2-2000000002-2222-2-2-2-2-222000000000000000000000000
χ2222222222-2-222-2-222-2-2000000002-22-2-222-222-2-2000000000000000000000000
χ2322222222-2-222-2-222-2-200000000-22-222222-2-2-2-2000000000000000000000000
χ2422222222-2-222-2-222-2-200000000-22-2-2-2-2-222222000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222000000002-2-200002000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-222000000002-2-20000200000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-22200000000-2220000-2000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-22200000000-2220000-200000000−2i−2i2i2i2i2i−2i−2i000000000000
χ292-2-22-2-222222-2-2-22-22-200000000000002-20002-22i−2i2i−2i2i−2i2i−2i0000000000000000
χ302-2-22-2-222222-2-2-22-22-200000000000002-20002-2−2i2i−2i2i−2i2i−2i2i0000000000000000
χ312-2-22-2-222222-2-2-22-22-20000000000000-22000-222i−2i2i−2i−2i2i−2i2i0000000000000000
χ322-2-22-2-222222-2-2-22-22-20000000000000-22000-22−2i2i−2i2i2i−2i2i−2i0000000000000000
χ332-2-22-2-22222-22-2-2-22-22000000000002-20002-2002i−2i−2i2i00002i−2i2i−2i000000000000
χ342-2-22-2-22222-22-2-2-22-22000000000002-20002-200−2i2i2i−2i0000−2i2i−2i2i000000000000
χ352-2-22-2-22222-22-2-2-22-2200000000000-22000-22002i−2i−2i2i0000−2i2i−2i2i000000000000
χ362-2-22-2-22222-22-2-2-22-2200000000000-22000-2200−2i2i2i−2i00002i−2i2i−2i000000000000
χ372-2-22-2-222-2-22-2222-2-2222-2-222-2-2000002-2000-22000000002-2-22000000000000
χ382-2-22-2-222-2-22-2222-2-2222-2-222-2-200000-220002-200000000-222-2000000000000
χ392-2-22-2-222-2-22-2222-2-22-2-222-2-222000002-2000-2200000000-222-2000000000000
χ402-2-22-2-222-2-22-2222-2-22-2-222-2-22200000-220002-2000000002-2-22000000000000
χ412-2-22-2-222-2-2-2222-222-222-2-2-2-2220002-2000-22000000-222-20000000000000000
χ422-2-22-2-222-2-2-2222-222-222-2-2-2-222000-220002-20000002-2-220000000000000000
χ432-2-22-2-222-2-2-2222-222-2-2-22222-2-20002-2000-220000002-2-220000000000000000
χ442-2-22-2-222-2-2-2222-222-2-2-22222-2-2000-220002-2000000-222-20000000000000000
χ45444-4-4-44-4004-400-440022−2222−2222−2222−22000000000000000000000000000000000000
χ46444-4-4-44-4004-400-4400−2222−2222−2222−2222000000000000000000000000000000000000
χ47444-4-4-44-400-44004-40022−2222−22−2222−2222000000000000000000000000000000000000
χ48444-4-4-44-400-44004-400−2222−222222−2222−22000000000000000000000000000000000000
χ4944-444-4-4-44-4004-40000000000000000000000000000000000000022−2200000000
χ5044-444-4-4-44-4004-400000000000000000000000000000000000000−222200000000
χ5144-444-4-4-4-4400-4400000000000000000000000000000000000000000022−220000
χ5244-444-4-4-4-4400-44000000000000000000000000000000000000000000−22220000
χ534-444-44-4-44-400-44000000000000000000000000000000000000000022−22000000
χ544-444-44-4-44-400-440000000000000000000000000000000000000000−2222000000
χ554-444-44-4-4-44004-400000000000000000000000000000000000022−220000000000
χ564-444-44-4-4-44004-4000000000000000000000000000000000000−22220000000000
χ574-4-4-4444-4004400-4-40022−22−222222−22−2222000000000000000000000000000000000000
χ584-4-4-4444-4004400-4-400−222222−22−222222−22000000000000000000000000000000000000
χ594-4-4-4444-400-4-400440022−22−2222−222222−22000000000000000000000000000000000000
χ604-4-4-4444-400-4-4004400−222222−2222−22−2222000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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