Finite Group Databasebeta

← Group #348620

Character table — Group #348620

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882222444444888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-11111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111-1-1111-1-111-1
χ9111111111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-11-1-1-1-11111-1-1111111-1-1-1-1
χ10111111111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ11111111111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-1111111-1-1-1-111
χ12111111111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-111-1-1-1-11111-1-1
χ13111111111111-1-11-1-11-1-1-1-1-1-11111-111-1-1-111-1-1-11111-1-1-1-11111-1-11-1-11-11
χ14111111111111-1-11-1-11-1-1-1-1-1-11111-111-1-1-111-1-1-11111-1-1-1-111-1-111-111-11-1
χ15111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-111-1-1-11-111-1
χ16111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-1-1-1111-11-1-11
χ172222222-22-2-2-222-2-2-220000000000222-22-2-2-22-2000000000000000000000
χ182222222-22-2-2-222-2-2-2200000000002-2-22-2-222-22000000000000000000000
χ192222222-22-2-2-2-2-2-22220000000000-2222-22-2-2-22000000000000000000000
χ202222222-22-2-2-2-2-2-22220000000000-2-2-2-222222-2000000000000000000000
χ2122222-2-2222-2222-222-22222-2-22222-20000-20000-2-2-2000000000000000000
χ2222222-2-2222-2222-222-2-2-2-2-222-2-2-2-2-20000-20000222000000000000000000
χ2322222-2-2222-22-2-2-2-2-2-22222-2-2-2-2-2-22000020000-222000000000000000000
χ2422222-2-2222-22-2-2-2-2-2-2-2-2-2-222222220000200002-2-2000000000000000000
χ2522222-2-2-22-22-2222-2-2-20000000000-20000200000002i−2i2i2i−2i−2i2i−2i0000000000
χ2622222-2-2-22-22-2222-2-2-20000000000-2000020000000−2i2i−2i−2i2i2i−2i2i0000000000
χ2722222-2-2-22-22-2-2-2222-2000000000020000-200000002i−2i−2i−2i2i2i2i−2i0000000000
χ2822222-2-2-22-22-2-2-2222-2000000000020000-20000000−2i2i2i2i−2i−2i−2i2i0000000000
χ292222-2222-22-2-200200-222-2-22200000002-20002-2-200-2-20000220000000000
χ302222-2222-22-2-200200-222-2-2220000000-22000-22-200220000-2-20000000000
χ312222-2222-22-2-200200-2-2-222-2-200000002-20002-2200220000-2-20000000000
χ322222-2222-22-2-200200-2-2-222-2-20000000-22000-22200-2-20000220000000000
χ332222-222-2-2-22200-200-20000002i2i−2i−2i00022000-2-202i−2i002i−2i2i−2i000000000000
χ342222-222-2-2-22200-200-20000002i2i−2i−2i000-2-20002202i−2i00−2i2i−2i2i000000000000
χ352222-222-2-2-22200-200-2000000−2i−2i2i2i00022000-2-20−2i2i00−2i2i−2i2i000000000000
χ362222-222-2-2-22200-200-2000000−2i−2i2i2i000-2-2000220−2i2i002i−2i2i−2i000000000000
χ372222-2-2-22-222-200-200222-2-2-2-2000002-20002-200200002-2-22000000000000
χ382222-2-2-22-222-200-200222-2-2-2-200000-22000-220020000-222-2000000000000
χ392222-2-2-22-222-200-2002-2-22222000002-20002-200-20000-222-2000000000000
χ402222-2-2-22-222-200-2002-2-2222200000-22000-2200-200002-2-22000000000000
χ412222-2-2-2-2-2-2-220020020000002i2i−2i−2i02-2000-22000−2i2i2i−2i0000−2i2i0000000000
χ422222-2-2-2-2-2-2-220020020000002i2i−2i−2i0-220002-2000−2i2i−2i2i00002i−2i0000000000
χ432222-2-2-2-2-2-2-22002002000000−2i−2i2i2i02-2000-220002i−2i−2i2i00002i−2i0000000000
χ442222-2-2-2-2-2-2-22002002000000−2i−2i2i2i0-220002-20002i−2i2i−2i0000−2i2i0000000000
χ454-44-4000-4040000000000004-400000000000000000000000002i−2i2i−2i000000
χ464-44-4000-4040000000000004-40000000000000000000000000−2i2i−2i2i000000
χ474-44-4000-404000000000000-4400000000000000000000000002i−2i−2i2i000000
χ484-44-4000-404000000000000-440000000000000000000000000−2i2i2i−2i000000
χ494-4-444000-40004i−4i000022−2222−22002i2−2i22i2−2i20000000000000000000000000000000
χ504-4-444000-40004i−4i0000−2222−222200−2i22i2−2i22i20000000000000000000000000000000
χ514-4-444000-4000−4i4i000022−2222−2200−2i22i2−2i22i20000000000000000000000000000000
χ524-4-444000-4000−4i4i0000−2222−2222002i2−2i22i2−2i20000000000000000000000000000000
χ534-4-44-400040000004-4022−22−22220022−22−22220000000000000000000000000000000
χ544-4-44-400040000004-40−222222−2200−222222−220000000000000000000000000000000
χ554-4-44-40004000000-44022−22−222200−222222−220000000000000000000000000000000
χ564-4-44-40004000000-440−222222−220022−22−22220000000000000000000000000000000
χ5788-8-808-80000000000000000000000000000000000000000000000000000
χ5888-8-80-880000000000000000000000000000000000000000000000000000
χ598-88-800080-80000000000000000000000000000000000000000000000000

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