Finite Group Databasebeta

← Group #348064

Character table — Group #348064

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222224444444444444444444444448888888888888888816161616323232323232
order12224444448888222224444444888888888888224444448888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-11111-1-1111111111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-11111-1-111-1-1
χ411111111111111111-1-11111-1-1111111111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-111
χ5111111111111111-1-11111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111
χ6111111111111111-1-11111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111-1-1-1-1
χ8111111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-1-11111
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ111111111111-1-1-1-1111-1-11111-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1111111-1-1-111-1-11
χ121111111111-1-1-1-1111-1-11111-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-1111-1-111-1
χ131111111111-1-1-1-11-1-11111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-1-11-111-1
χ141111111111-1-1-1-11-1-11111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1111-11-1-11
χ151111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-111-1-11-1-11-11
χ161111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-111-111-11-1
χ17222222-222-20000-22222-2-2-2-2-2-22000000000000222-22-2-2-20000000000000000000
χ18222222-222-20000-222-2-2-2-2-2-2222000000000000-2-22-2-22220000000000000000000
χ19222222-222-20000-2-2-222-2-222-2-22000000000000-2-2-222-2220000000000000000000
χ20222222-222-20000-2-2-2-2-2-2-22222200000000000022-22-22-2-20000000000000000000
χ2122222-222-222222-200222-20022-222-2-2000022220000-2-20000-2-2-200000000000000
χ2222222-222-222222-200-2-22-200-2-2-222-2-20000-2-2-2-2000022000022-200000000000000
χ2322222-222-22-2-2-2-2-200222-20022-2-2-2220000-2-2-2-20000-2-2000022200000000000000
χ2422222-222-22-2-2-2-2-200-2-22-200-2-2-2-2-222000022220000220000-2-2200000000000000
χ2522222-2-22-2-2000020022-2200-2-2-200002i2i−2i−2i00000000-22002i−2i0002i2i−2i−2i0000000000
χ2622222-2-22-2-2000020022-2200-2-2-20000−2i−2i2i2i00000000-2200−2i2i000−2i−2i2i2i0000000000
χ2722222-2-22-2-20000200-2-2-220022-200002i2i−2i−2i000000002-2002i−2i000−2i−2i2i2i0000000000
χ2822222-2-22-2-20000200-2-2-220022-20000−2i−2i2i2i000000002-200−2i2i0002i2i−2i−2i0000000000
χ292222-222-2222222-22200-222200-2-2-2222222000000-2-20000-2-200-200000000000000
χ302222-222-2222222-2-2-200-22-2-200-2-2-222-2-2-2-20000002200002200-200000000000000
χ312222-222-222-2-2-2-2-22200-222200-222-2-2-2-2-2-2000000-2-200002200200000000000000
χ322222-222-222-2-2-2-2-2-2-200-22-2-200-222-2-22222000000220000-2-200200000000000000
χ332222-22-2-22-20000222002-2-2-200-2000000002i2i−2i−2i00-220000002i−2i02i−2i2i−2i0000000000
χ342222-22-2-22-20000222002-2-2-200-200000000−2i−2i2i2i00-22000000−2i2i0−2i2i−2i2i0000000000
χ352222-22-2-22-200002-2-2002-22200-2000000002i2i−2i−2i002-20000002i−2i0−2i2i−2i2i0000000000
χ362222-22-2-22-200002-2-2002-22200-200000000−2i−2i2i2i002-2000000−2i2i02i−2i2i−2i0000000000
χ372222-2-22-2-22222220000-2-200002-2-2-2-2000000002-200002-2000022-2-220000000000
χ382222-2-22-2-22222220000-2-200002-2-2-2-200000000-220000-2200002-222-20000000000
χ392222-2-22-2-22-2-2-2-220000-2-2000022222000000002-200002-20000-2-222-20000000000
χ402222-2-22-2-22-2-2-2-220000-2-200002222200000000-220000-220000-22-2-220000000000
χ412222-2-2-2-2-2-20000-20000220000200002i2i−2i−2i2i2i−2i−2i2-20000-22−2i2i−2i2i000000000000000
χ422222-2-2-2-2-2-20000-20000220000200002i2i−2i−2i−2i−2i2i2i-2200002-2−2i2i2i−2i000000000000000
χ432222-2-2-2-2-2-20000-2000022000020000−2i−2i2i2i2i2i−2i−2i-2200002-22i−2i−2i2i000000000000000
χ442222-2-2-2-2-2-20000-2000022000020000−2i−2i2i2i−2i−2i2i2i2-20000-222i−2i2i−2i000000000000000
χ4544-4-40400-402222−22−2204-40000000000022−2222−2222−220000000000000000000000000000000
χ4644-4-40400-402222−22−220-440000000000022−22−2222−22220000000000000000000000000000000
χ4744-4-40400-40−22−22222204-400000000000−2222−2222−22220000000000000000000000000000000
χ4844-4-40400-40−22−2222220-4400000000000−222222−2222−220000000000000000000000000000000
χ4944-4-40-400402222−22−2200000004i−4i00000−22222i2−2i2−2i22i20000000000000000000000000000000
χ5044-4-40-400402222−22−220000000−4i4i00000−2222−2i22i22i2−2i20000000000000000000000000000000
χ5144-4-40-40040−22−22222200000004i−4i0000022−22−2i22i22i2−2i20000000000000000000000000000000
χ5244-4-40-40040−22−2222220000000−4i4i0000022−222i2−2i2−2i22i20000000000000000000000000000000
χ534-44-4400-40022−2222−220004-4000000022−2200000022−2222−22000000000000000000000000000
χ544-44-4400-40022−2222−22000-44000000022−22000000−2222−2222000000000000000000000000000
χ554-44-4400-400−2222−22220004-40000000−2222000000−2222−2222000000000000000000000000000
χ564-44-4400-400−2222−2222000-440000000−222200000022−2222−22000000000000000000000000000
χ574-44-4-40040022−2222−220000000004i−4i0−22220000002i2−2i2−2i22i2000000000000000000000000000
χ584-44-4-40040022−2222−22000000000−4i4i0−2222000000−2i22i22i2−2i2000000000000000000000000000
χ594-44-4-400400−2222−22220000000004i−4i022−22000000−2i22i22i2−2i2000000000000000000000000000
χ604-44-4-400400−2222−2222000000000−4i4i022−220000002i2−2i2−2i22i2000000000000000000000000000
χ614-4-4400-40044-4-44000000000000000000000000000000000000000002-22-2000000
χ624-4-4400-40044-4-4400000000000000000000000000000000000000000-22-22000000
χ634-4-4400-4004-444-4000000000000000000000000000000000000000002-2-22000000
χ644-4-4400-4004-444-400000000000000000000000000000000000000000-222-2000000
χ658-8-8800800-80000000000000000000000000000000000000000000000000000000

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