Finite Group Databasebeta

← Group #351582

Character table — Group #351582

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444444488888888244444444444888888888888888888882444
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
χ511111111111111111111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ711111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ811111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-11
χ10111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1
χ11111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1
χ12111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-111-1-1-1-111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1
χ17222222222222-2-2-2-2-2-22222-2-2-2-222-20000-2000022-2-200000000000000000000
χ18222222222222-2-2-2-2-2-22222-2-2-2-2-2-22000020000-2-22200000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-2222222-20000-20000-2-22200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-22222-2-2200002000022-2-200000000000000000000
χ2122222222-2-2-2-22222-2-2000000002-2-222-2-22-2-222000000000000000000000000
χ2222222222-2-2-2-22222-2-2000000002-2-2-2-222222-2-2000000000000000000000000
χ2322222222-2-2-2-22222-2-200000000-2222222-2-2-2-2-2000000000000000000000000
χ2422222222-2-2-2-22222-2-200000000-222-2-2-2-2-22222000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222000000002-220000-2000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-222000000002-220000-200000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-22200000000-22-200002000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-22200000000-22-20000200000000−2i−2i2i2i2i2i−2i−2i000000000000
χ292-2-222-22-222-2-222-2-22-200000000000002i−2i0002i−2i2-22-22i−2i2i−2i0000000000000000
χ302-2-222-22-222-2-222-2-22-200000000000002i−2i0002i−2i-22-22−2i2i−2i2i0000000000000000
χ312-2-222-22-222-2-222-2-22-20000000000000−2i2i000−2i2i2-22-2−2i2i−2i2i0000000000000000
χ322-2-222-22-222-2-222-2-22-20000000000000−2i2i000−2i2i-22-222i−2i2i−2i0000000000000000
χ332-2-222-22-222-2-2-2-222-22000000000002i−2i0002i−2i002-2-2200002i−2i2i−2i000000000000
χ342-2-222-22-222-2-2-2-222-22000000000002i−2i0002i−2i00-222-20000−2i2i−2i2i000000000000
χ352-2-222-22-222-2-2-2-222-2200000000000−2i2i000−2i2i002-2-220000−2i2i−2i2i000000000000
χ362-2-222-22-222-2-2-2-222-2200000000000−2i2i000−2i2i00-222-200002i−2i2i−2i000000000000
χ372-2-222-22-2-2-22222-2-2-222i2i−2i−2i2i2i−2i−2i000002i−2i000−2i2i000000002-2-22000000000000
χ382-2-222-22-2-2-22222-2-2-222i2i−2i−2i2i2i−2i−2i00000−2i2i0002i−2i00000000-222-2000000000000
χ392-2-222-22-2-2-22222-2-2-22−2i−2i2i2i−2i−2i2i2i000002i−2i000−2i2i00000000-222-2000000000000
χ402-2-222-22-2-2-22222-2-2-22−2i−2i2i2i−2i−2i2i2i00000−2i2i0002i−2i000000002-2-22000000000000
χ412-2-222-22-2-2-222-2-2222-22i2i−2i−2i−2i−2i2i2i0002i−2i000−2i2i000000-222-20000000000000000
χ422-2-222-22-2-2-222-2-2222-22i2i−2i−2i−2i−2i2i2i000−2i2i0002i−2i0000002-2-220000000000000000
χ432-2-222-22-2-2-222-2-2222-2−2i−2i2i2i2i2i−2i−2i0002i−2i000−2i2i0000002-2-220000000000000000
χ442-2-222-22-2-2-222-2-2222-2−2i−2i2i2i2i2i−2i−2i000−2i2i0002i−2i000000-222-20000000000000000
χ454444-4-4-4-44-44-4000000000000000000000000000000000000000022−2200000000
χ464444-4-4-4-44-44-40000000000000000000000000000000000000000−222200000000
χ474444-4-4-4-4-44-440000000000000000000000000000000000000000000022−220000
χ484444-4-4-4-4-44-4400000000000000000000000000000000000000000000−22220000
χ4944-4-4-444-400004-44-4002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000
χ5044-4-4-444-400004-44-400−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000
χ5144-4-4-444-40000-44-44002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000
χ5244-4-4-444-40000-44-4400−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000
χ534-44-4-4-44400004-4-440022−22−222222−22−2222000000000000000000000000000000000000
χ544-44-4-4-44400004-4-4400−222222−22−222222−22000000000000000000000000000000000000
χ554-44-4-4-4440000-444-40022−22−2222−222222−22000000000000000000000000000000000000
χ564-44-4-4-4440000-444-400−222222−2222−22−2222000000000000000000000000000000000000
χ574-4-44-44-444-4-4400000000000000000000000000000000000000000022−22000000
χ584-4-44-44-444-4-44000000000000000000000000000000000000000000−2222000000
χ594-4-44-44-44-444-40000000000000000000000000000000000000022−220000000000
χ604-4-44-44-44-444-400000000000000000000000000000000000000−22220000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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