Finite Group Databasebeta

← Group #348613

Character table — Group #348613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882244444444888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111
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
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-111-1-1-111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-111-1-1-1111111-1-1111-1-111-1
χ91111111111111-1-1-1-111111-1-1-1-111-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ101111111111111-1-1-1-111111-1-1-1-111-1111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1
χ111111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-1
χ121111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111
χ131111111111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-11-1-1-111-1-1111111-1-1-11-111-1
χ141111111111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-11-1-1-111-1-11111-1-1111-11-1-11
χ151111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111-11111-1-1-1-111-1-11-1-11-11
χ161111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111-11111-1-1-1-1-1-111-111-11-1
χ172222222-22-2-2-2-222-2-220000000000222-222-2-2-2-2000000000000000000000
χ182222222-22-2-2-2-222-2-2200000000002-2-22-2-222-22000000000000000000000
χ192222222-22-2-2-2-2-2-22220000000000-222-2-2-2222-2000000000000000000000
χ202222222-22-2-2-2-2-2-22220000000000-2-2-2222-2-222000000000000000000000
χ2122222-2-2222-22-22222-222-2-2222222-20000000-2000-2-2-20000000000000000
χ2222222-2-2222-22-22222-2-2-222-2-2-2-2-2-2-20000000-20002220000000000000000
χ2322222-2-2222-22-2-2-2-2-2-222-2-2-2-2-2-222200000002000-2220000000000000000
χ2422222-2-2222-22-2-2-2-2-2-2-2-2222222-2-22000000020002-2-20000000000000000
χ2522222-2-2-22-22-2222-2-2-20000000000-20000000202i−2i0002i−2i2i2i−2i−2i0000000000
χ2622222-2-2-22-22-2222-2-2-20000000000-2000000020−2i2i000−2i2i−2i−2i2i2i0000000000
χ2722222-2-2-22-22-22-2-222-2000000000020000000-202i−2i0002i−2i−2i−2i2i2i0000000000
χ2822222-2-2-22-22-22-2-222-2000000000020000000-20−2i2i000−2i2i2i2i−2i−2i0000000000
χ292222-2222-22-2-220000-222-2-20000-2-202-2-2000002-2-22002200000000000000
χ302222-2222-22-2-220000-222-2-20000-2-20-22200000-222200-2-200000000000000
χ312222-2222-22-2-220000-2-2-22200002202-2-200000222-200-2-200000000000000
χ322222-2222-22-2-220000-2-2-2220000220-22200000-2-2-2-2002200000000000000
χ332222-222-2-2-222-20000-200002i2i−2i−2i0002-2200000-20002i−2i002i−2i2i−2i0000000000
χ342222-222-2-2-222-20000-200002i2i−2i−2i000-22-20000020002i−2i00−2i2i−2i2i0000000000
χ352222-222-2-2-222-20000-20000−2i−2i2i2i0002-2200000-2000−2i2i00−2i2i−2i2i0000000000
χ362222-222-2-2-222-20000-20000−2i−2i2i2i000-22-2000002000−2i2i002i−2i2i−2i0000000000
χ372222-2-2-22-222-2-20000222220000-2-200002-22-20000-200002-2-220000000000
χ382222-2-2-22-222-2-20000222220000-2-20000-22-220000-20000-222-20000000000
χ392222-2-2-22-222-2-200002-2-2-2-200002200002-22-2000020000-222-20000000000
χ402222-2-2-22-222-2-200002-2-2-2-20000220000-22-220000200002-2-220000000000
χ412222-2-2-2-2-2-2-2220000200002i2i−2i−2i0000002-2-2200−2i2i0−2i2i2i−2i00000000000000
χ422222-2-2-2-2-2-2-2220000200002i2i−2i−2i000000-222-2002i−2i0−2i2i−2i2i00000000000000
χ432222-2-2-2-2-2-2-222000020000−2i−2i2i2i0000002-2-22002i−2i02i−2i−2i2i00000000000000
χ442222-2-2-2-2-2-2-222000020000−2i−2i2i2i000000-222-200−2i2i02i−2i2i−2i00000000000000
χ4544-4-44000-40000004-4022−220022−2222−2222−220000000000000000000000000000000
χ4644-4-44000-40000004-40−222200−2222−2222−22220000000000000000000000000000000
χ4744-4-44000-4000000-44022−2200−2222−222222−220000000000000000000000000000000
χ4844-4-44000-4000000-440−22220022−2222−22−22220000000000000000000000000000000
χ4944-4-4-4000400004i−4i00022−22002i2−2i2−2i22i2−22220000000000000000000000000000000
χ5044-4-4-4000400004i−4i000−222200−2i22i22i2−2i222−220000000000000000000000000000000
χ5144-4-4-400040000−4i4i00022−2200−2i22i22i2−2i2−22220000000000000000000000000000000
χ5244-4-4-400040000−4i4i000−2222002i2−2i2−2i22i222−220000000000000000000000000000000
χ534-4-4400040-400000000004-40000000000000000000000000002i−2i2i−2i000000
χ544-4-4400040-400000000004-4000000000000000000000000000−2i2i−2i2i000000
χ554-4-4400040-40000000000-440000000000000000000000000002i−2i−2i2i000000
χ564-4-4400040-40000000000-44000000000000000000000000000−2i2i2i−2i000000
χ578-88-808-80000000000000000000000000000000000000000000000000000
χ588-88-80-880000000000000000000000000000000000000000000000000000
χ598-8-88000-8080000000000000000000000000000000000000000000000000

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