Finite Group Databasebeta

← Group #348616

Character table — Group #348616

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882222444444888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
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
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-11-111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-111111111-1-1111-11-1-11
χ91111111111111-1-1-1-11111111-1-1-1-1-111-1-111-1-1-11-1-1-1-11111-1-1111111-1-1-1-1
χ101111111111111-1-1-1-11111111-1-1-1-1-111-1-111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111111111111-1-1-1-11111111-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-1111111-1-111-1-1
χ121111111111111-1-1-1-11111111-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111
χ131111111111111-1-1-1-11-1-1-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-11-11
χ141111111111111-1-1-1-11-1-1-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-111-1-111-111-11-1
χ151111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-11-1-1-1111-111-1-11111-1-111-1-1-111-1-11
χ161111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-11-1-1-1111-111-1-11111-1-1-1-1111-1-111-1
χ172222222-22-2-2-2-222-2-220000000000222-2-2-2-222-2000000000000000000000
χ182222222-22-2-2-2-222-2-2200000000002-2-22-222-2-22000000000000000000000
χ192222222-22-2-2-2-2-2-22220000000000-22222-2-2-2-22000000000000000000000
χ202222222-22-2-2-2-2-2-22220000000000-2-2-2-222222-2000000000000000000000
χ2122222-2-2222-22-20000-22222-2-2000000020002-2-2-200-2-20000220000000000
χ2222222-2-2222-22-20000-22222-2-20000000-2000-222-200220000-2-20000000000
χ2322222-2-2222-22-20000-2-2-2-2-222000000020002-2-2200220000-2-20000000000
χ2422222-2-2222-22-20000-2-2-2-2-2220000000-2000-222200-2-20000220000000000
χ2522222-2-2-22-22-220000-20000002i2i−2i−2i0002000-22-202i−2i002i2i−2i−2i000000000000
χ2622222-2-2-22-22-220000-20000002i2i−2i−2i000-20002-2202i−2i00−2i−2i2i2i000000000000
χ2722222-2-2-22-22-220000-2000000−2i−2i2i2i0002000-22-20−2i2i00−2i−2i2i2i000000000000
χ2822222-2-2-22-22-220000-2000000−2i−2i2i2i000-20002-220−2i2i002i2i−2i−2i000000000000
χ292222-2222-22-2-222222-222-2-2222222-2000-200000-2-2-2000000000000000000
χ302222-2222-22-2-222222-2-2-222-2-2-2-2-2-2-2000-200000222000000000000000000
χ312222-2222-22-2-22-2-2-2-2-222-2-222-2-2-2-22000200000-222000000000000000000
χ322222-2222-22-2-22-2-2-2-2-2-2-222-2-2222220002000002-2-2000000000000000000
χ332222-222-2-2-222-222-2-2-20000000000-20002000000002i−2i2i−2i2i−2i2i−2i0000000000
χ342222-222-2-2-222-222-2-2-20000000000-2000200000000−2i2i−2i2i−2i2i−2i2i0000000000
χ352222-222-2-2-222-2-2-222-200000000002000-2000000002i−2i−2i2i−2i2i2i−2i0000000000
χ362222-222-2-2-222-2-2-222-200000000002000-200000000−2i2i2i−2i2i−2i−2i2i0000000000
χ372222-2-2-22-222-2-20000222-2-2-2-2000002-2002-2000200002-2-22000000000000
χ382222-2-2-22-222-2-20000222-2-2-2-200000-2200-2200020000-222-2000000000000
χ392222-2-2-22-222-2-200002-2-22222000002-2002-2000-20000-222-2000000000000
χ402222-2-2-22-222-2-200002-2-2222200000-2200-22000-200002-2-22000000000000
χ412222-2-2-2-2-2-2-222000020000002i2i−2i−2i02-200-220000−2i2i2i−2i0000−2i2i0000000000
χ422222-2-2-2-2-2-2-222000020000002i2i−2i−2i0-22002-20000−2i2i−2i2i00002i−2i0000000000
χ432222-2-2-2-2-2-2-22200002000000−2i−2i2i2i02-200-2200002i−2i−2i2i00002i−2i0000000000
χ442222-2-2-2-2-2-2-22200002000000−2i−2i2i2i0-22002-200002i−2i2i−2i0000−2i2i0000000000
χ4544-4-4000-40400000000004-40000000000000000000000000002i−2i2i−2i000000
χ4644-4-4000-40400000000004-4000000000000000000000000000−2i2i−2i2i000000
χ4744-4-4000-4040000000000-440000000000000000000000000002i−2i−2i2i000000
χ4844-4-4000-4040000000000-44000000000000000000000000000−2i2i2i−2i000000
χ494-44-404-4000000004-402i2−2i2002i2−2i22i2−2i22i2−2i20000000000000000000000000000000
χ504-44-404-4000000004-40−2i22i200−2i22i2−2i22i2−2i22i20000000000000000000000000000000
χ514-44-404-400000000-4402i2−2i2002i2−2i2−2i22i2−2i22i20000000000000000000000000000000
χ524-44-404-400000000-440−2i22i200−2i22i22i2−2i22i2−2i20000000000000000000000000000000
χ534-44-40-440000004i−4i0002i2−2i200−2i22i222−22−22220000000000000000000000000000000
χ544-44-40-440000004i−4i000−2i22i2002i2−2i2−222222−220000000000000000000000000000000
χ554-44-40-44000000−4i4i0002i2−2i200−2i22i2−222222−220000000000000000000000000000000
χ564-44-40-44000000−4i4i000−2i22i2002i2−2i222−22−22220000000000000000000000000000000
χ5788-8-800080-80000000000000000000000000000000000000000000000000
χ588-8-888000-800000000000000000000000000000000000000000000000000
χ598-8-88-8000800000000000000000000000000000000000000000000000000

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