Finite Group Databasebeta

← Group #348604

Character table — Group #348604

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882222444444888888888888888248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
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
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-11111111111-1-1-11-111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-111111111-1-1111-11-1-11
χ91111111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-111-11-1-1-1-11111-1-1111111-1-1-1-1
χ101111111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111111111111-1-1-1-11111111-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1111111-1-111-1-1
χ121111111111111-1-1-1-11111111-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111
χ131111111111111-1-1-1-11-1-1-1-1-1-11111-111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11-11
χ141111111111111-1-1-1-11-1-1-1-1-1-11111-111-1-1-1-111-1-11111-1-1-1-111-1-111-111-11-1
χ151111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1111-1-1-11-111-1-11111-1-111-1-1-111-1-11
χ161111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1111-1-1-11-111-1-11111-1-1-1-1111-1-111-1
χ172222222-22-2-2-2-222-2-220000000000222-22-2-2-2-22000000000000000000000
χ182222222-22-2-2-2-222-2-2200000000002-2-22-22-222-2000000000000000000000
χ192222222-22-2-2-2-2-2-22220000000000-2222-222-2-2-2000000000000000000000
χ202222222-22-2-2-2-2-2-22220000000000-2-2-2-22-22222000000000000000000000
χ2122222-2-2222-22-20000-22222-2-200000002-2-20002-200-2-20000220000000000
χ2222222-2-2222-22-20000-22222-2-20000000-222000-2-200220000-2-20000000000
χ2322222-2-2222-22-20000-2-2-2-2-22200000002-2-20002200220000-2-20000000000
χ2422222-2-2222-22-20000-2-2-2-2-2220000000-222000-2200-2-20000220000000000
χ2522222-2-2-22-22-220000-20000002i2i−2i−2i00022-2000-202i−2i002i2i−2i−2i000000000000
χ2622222-2-2-22-22-220000-20000002i2i−2i−2i000-2-22000202i−2i00−2i−2i2i2i000000000000
χ2722222-2-2-22-22-220000-2000000−2i−2i2i2i00022-2000-20−2i2i00−2i−2i2i2i000000000000
χ2822222-2-2-22-22-220000-2000000−2i−2i2i2i000-2-2200020−2i2i002i2i−2i−2i000000000000
χ292222-2222-22-2-222222-222-2-2222222-200000-2000-2-2-2000000000000000000
χ302222-2222-22-2-222222-2-2-222-2-2-2-2-2-2-200000-2000222000000000000000000
χ312222-2222-22-2-22-2-2-2-2-222-2-222-2-2-2-22000002000-222000000000000000000
χ322222-2222-22-2-22-2-2-2-2-2-2-222-2-2222220000020002-2-2000000000000000000
χ332222-222-2-2-222-222-2-2-20000000000-20000020000002i−2i2i−2i2i−2i2i−2i0000000000
χ342222-222-2-2-222-222-2-2-20000000000-2000002000000−2i2i−2i2i−2i2i−2i2i0000000000
χ352222-222-2-2-222-2-2-222-20000000000200000-20000002i−2i−2i2i−2i2i2i−2i0000000000
χ362222-222-2-2-222-2-2-222-20000000000200000-2000000−2i2i2i−2i2i−2i−2i2i0000000000
χ372222-2-2-22-222-2-20000222-2-2-2-2000002-200002-20200002-2-22000000000000
χ382222-2-2-22-222-2-20000222-2-2-2-200000-220000-22020000-222-2000000000000
χ392222-2-2-22-222-2-200002-2-22222000002-200002-20-20000-222-2000000000000
χ402222-2-2-22-222-2-200002-2-2222200000-220000-220-200002-2-22000000000000
χ412222-2-2-2-2-2-2-222000020000002i2i−2i−2i02-20000-2200−2i2i2i−2i0000−2i2i0000000000
χ422222-2-2-2-2-2-2-222000020000002i2i−2i−2i0-2200002-200−2i2i−2i2i00002i−2i0000000000
χ432222-2-2-2-2-2-2-22200002000000−2i−2i2i2i02-20000-22002i−2i−2i2i00002i−2i0000000000
χ442222-2-2-2-2-2-2-22200002000000−2i−2i2i2i0-2200002-2002i−2i2i−2i0000−2i2i0000000000
χ4544-4-404-4000000004-402i2−2i2002i2−2i22i2−2i22i2−2i20000000000000000000000000000000
χ4644-4-404-4000000004-40−2i22i200−2i22i2−2i22i2−2i22i20000000000000000000000000000000
χ4744-4-404-400000000-4402i2−2i2002i2−2i2−2i22i2−2i22i20000000000000000000000000000000
χ4844-4-404-400000000-440−2i22i200−2i22i22i2−2i22i2−2i20000000000000000000000000000000
χ4944-4-40-440000004i−4i0002i2−2i200−2i22i222−22−22220000000000000000000000000000000
χ5044-4-40-440000004i−4i000−2i22i2002i2−2i2−222222−220000000000000000000000000000000
χ5144-4-40-44000000−4i4i0002i2−2i200−2i22i2−222222−220000000000000000000000000000000
χ5244-4-40-44000000−4i4i000−2i22i2002i2−2i222−22−22220000000000000000000000000000000
χ534-4-44000-40400000000004-40000000000000000000000000002-22-2000000
χ544-4-44000-40400000000004-4000000000000000000000000000-22-22000000
χ554-4-44000-4040000000000-440000000000000000000000000002-2-22000000
χ564-4-44000-4040000000000-44000000000000000000000000000-222-2000000
χ578-88-88000-800000000000000000000000000000000000000000000000000
χ588-88-8-8000800000000000000000000000000000000000000000000000000
χ598-8-8800080-80000000000000000000000000000000000000000000000000

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