Finite Group Databasebeta

← Group #348636

Character table — Group #348636

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882222444444888888888888888248888
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
χ17222222-222-2-2-222-2-2-220000000000222-22-2-2-22-2000000000000000000000
χ18222222-222-2-2-222-2-2-2200000000002-2-22-2-222-22000000000000000000000
χ19222222-222-2-2-2-2-2-22220000000000-2222-22-2-2-22000000000000000000000
χ20222222-222-2-2-2-2-2-22220000000000-2-2-2-222222-2000000000000000000000
χ2122222-222-22-2-200200-22222-2-200000002-20002-2-200-2-20000220000000000
χ2222222-222-22-2-200200-22222-2-20000000-22000-22-200220000-2-20000000000
χ2322222-222-22-2-200200-2-2-2-2-22200000002-20002-2200220000-2-20000000000
χ2422222-222-22-2-200200-2-2-2-2-2220000000-22000-22200-2-20000220000000000
χ2522222-2-22-2-22200-200-20000002i2i−2i−2i00022000-2-202i−2i002i2i−2i−2i000000000000
χ2622222-2-22-2-22200-200-20000002i2i−2i−2i000-2-20002202i−2i00−2i−2i2i2i000000000000
χ2722222-2-22-2-22200-200-2000000−2i−2i2i2i00022000-2-20−2i2i00−2i−2i2i2i000000000000
χ2822222-2-22-2-22200-200-2000000−2i−2i2i2i000-2-2000220−2i2i002i2i−2i−2i000000000000
χ292222-222-222-2222-222-222-2-2222222-20000-20000-2-2-2000000000000000000
χ302222-222-222-2222-222-2-2-222-2-2-2-2-2-2-20000-20000222000000000000000000
χ312222-222-222-22-2-2-2-2-2-222-2-222-2-2-2-22000020000-222000000000000000000
χ322222-222-222-22-2-2-2-2-2-2-2-222-2-2222220000200002-2-2000000000000000000
χ332222-22-2-22-22-2222-2-2-20000000000-20000200000002i−2i2i−2i2i−2i2i−2i0000000000
χ342222-22-2-22-22-2222-2-2-20000000000-2000020000000−2i2i−2i2i−2i2i−2i2i0000000000
χ352222-22-2-22-22-2-2-2222-2000000000020000-200000002i−2i−2i2i−2i2i2i−2i0000000000
χ362222-22-2-22-22-2-2-2222-2000000000020000-20000000−2i2i2i−2i2i−2i−2i2i0000000000
χ372222-2-22-2-222-200-200222-2-2-2-2000002-20002-200200002-2-22000000000000
χ382222-2-22-2-222-200-200222-2-2-2-200000-22000-220020000-222-2000000000000
χ392222-2-22-2-222-200-2002-2-22222000002-20002-200-20000-222-2000000000000
χ402222-2-22-2-222-200-2002-2-2222200000-22000-2200-200002-2-22000000000000
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
χ454-44-400400-400000000004i−4i0000000000000000000000000002-22i−2i000000
χ464-44-400400-400000000004i−4i000000000000000000000000000-22−2i2i000000
χ474-44-400400-40000000000−4i4i0000000000000000000000000002-2−2i2i000000
χ484-44-400400-40000000000−4i4i000000000000000000000000000-222i−2i000000
χ494-4-440400-40004i−4i000022−220022−222i2−2i22i2−2i20000000000000000000000000000000
χ504-4-440400-40004i−4i0000−222200−2222−2i22i2−2i22i20000000000000000000000000000000
χ514-4-440400-4000−4i4i000022−220022−22−2i22i2−2i22i20000000000000000000000000000000
χ524-4-440400-4000−4i4i0000−222200−22222i2−2i22i2−2i20000000000000000000000000000000
χ534-4-440-40040000004-4022−2200−222222−22−22220000000000000000000000000000000
χ544-4-440-40040000004-40−22220022−22−222222−220000000000000000000000000000000
χ554-4-440-4004000000-44022−2200−2222−222222−220000000000000000000000000000000
χ564-4-440-4004000000-440−22220022−2222−22−22220000000000000000000000000000000
χ5788-8-8800-8000000000000000000000000000000000000000000000000000
χ5888-8-8-8008000000000000000000000000000000000000000000000000000
χ598-88-800-80080000000000000000000000000000000000000000000000000

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