Finite Group Databasebeta

← Group #348066

Character table — Group #348066

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222224444444444444444444444448888888888888888816161616323232323232
order12224444448888222444444444888888888888244444448888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-11111-1-111-1-1
χ41111111111111111111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-111
χ5111111111111111-1-1111111-1-11-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ6111111111111111-1-1111111-1-11-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111-11-1-1-1-11111111111-1-1-1-1
χ8111111111111111-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-11111
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
χ111111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-1111111-1-1-111-1-11
χ121111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-11111-1-1111-1-111-1
χ131111111111-1-1-1-11-1-1111111-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-111111111-1-1-11-111-1
χ141111111111-1-1-1-11-1-1111111-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1111111-1-1111-11-1-11
χ151111111111-1-1-1-11-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-11111-1-11111-1-1-1-111-1-11-1-11-11
χ161111111111-1-1-1-11-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-111-111-11-1
χ17222222-222-20000-222-2-222-2-2-2-2200000000000022-222-2-2-20000000000000000000
χ18222222-222-20000-222-2-2-2-222-2-22000000000000-22-2-2-22220000000000000000000
χ19222222-222-20000-2-2-2-2-222-2-22220000000000002-22-2-222-20000000000000000000
χ20222222-222-20000-2-2-2-2-2-2-222222000000000000-2-2222-2-220000000000000000000
χ2122222-222-222222-2002-2222200-2000022-2-22222-2000000-2-2-2-20000000000000000
χ2222222-222-222222-2002-2-2-2-2-200-2000022-2-2-2-2-2-220000002-2220000000000000000
χ2322222-222-22-2-2-2-2-2002-2222200-20000-2-222-2-2-2-2-2000000-22220000000000000000
χ2422222-222-22-2-2-2-2-2002-2-2-2-2-200-20000-2-2222222200000022-2-20000000000000000
χ2522222-2-22-2-20000200-2222-2-200-22i2i−2i−2i00000000-200000020002i−2i2i2i−2i−2i0000000000
χ2622222-2-22-2-20000200-2222-2-200-2−2i−2i2i2i00000000-20000002000−2i2i−2i−2i2i2i0000000000
χ2722222-2-22-2-20000200-22-2-22200-22i2i−2i−2i000000002000000-20002i−2i−2i−2i2i2i0000000000
χ2822222-2-22-2-20000200-22-2-22200-2−2i−2i2i2i000000002000000-2000−2i2i2i2i−2i−2i0000000000
χ292222-222-2222222-222-22000022-22222-2-22200000-2-200000-200-2-200000000000000
χ302222-222-2222222-2-2-2-220000-2-2-2-2-2-2-2-2-222000002200000-2002200000000000000
χ312222-222-222-2-2-2-2-222-22000022-2-2-2-2-222-2-200000-2-2000002002200000000000000
χ322222-222-222-2-2-2-2-2-2-2-220000-2-2-2222222-2-2000002200000200-2-200000000000000
χ332222-22-2-22-200002222-20000-2-2-2000000002i2i−2i−2i0-220000002i−2i002i−2i2i−2i0000000000
χ342222-22-2-22-200002222-20000-2-2-200000000−2i−2i2i2i0-22000000−2i2i00−2i2i−2i2i0000000000
χ352222-22-2-22-200002-2-22-2000022-2000000002i2i−2i−2i02-20000002i−2i00−2i2i−2i2i0000000000
χ362222-22-2-22-200002-2-22-2000022-200000000−2i−2i2i2i02-2000000−2i2i002i−2i2i−2i0000000000
χ372222-2-22-2-222222200-2-200000020000-2-2-2-200000002-22-20200002-2-220000000000
χ382222-2-22-2-222222200-2-200000020000-2-2-2-20000000-22-22020000-222-20000000000
χ392222-2-22-2-22-2-2-2-2200-2-200000020000222200000002-22-20-20000-222-20000000000
χ402222-2-22-2-22-2-2-2-2200-2-20000002000022220000000-22-220-200002-2-220000000000
χ412222-2-2-2-2-2-20000-2002200000022i2i−2i−2i00002i2i−2i−2i0002-2-2200−2i2i−2i2i00000000000000
χ422222-2-2-2-2-2-20000-2002200000022i2i−2i−2i0000−2i−2i2i2i000-222-2002i−2i−2i2i00000000000000
χ432222-2-2-2-2-2-20000-200220000002−2i−2i2i2i00002i2i−2i−2i000-222-200−2i2i2i−2i00000000000000
χ442222-2-2-2-2-2-20000-200220000002−2i−2i2i2i0000−2i−2i2i2i0002-2-22002i−2i2i−2i00000000000000
χ4544-4-40400-402222−22−2204-400000000022−2222−220022−220000000000000000000000000000000
χ4644-4-40400-402222−22−220-44000000000−2222−22220022−220000000000000000000000000000000
χ4744-4-40400-40−22−22222204-4000000000−2222−222200−22220000000000000000000000000000000
χ4844-4-40400-40−22−2222220-4400000000022−2222−2200−22220000000000000000000000000000000
χ4944-4-40-400402222−22−220000000004i−4i02i2−2i2−2i22i200−22220000000000000000000000000000000
χ5044-4-40-400402222−22−22000000000−4i4i0−2i22i22i2−2i200−22220000000000000000000000000000000
χ5144-4-40-40040−22−2222220000000004i−4i0−2i22i22i2−2i20022−220000000000000000000000000000000
χ5244-4-40-40040−22−222222000000000−4i4i02i2−2i2−2i22i20022−220000000000000000000000000000000
χ534-44-4400-40022−2222−2200000004-4000000022−220022−2222−22000000000000000000000000000
χ544-44-4400-40022−2222−220000000-44000000022−2200−2222−2222000000000000000000000000000
χ554-44-4400-400−2222−222200000004-40000000−222200−2222−2222000000000000000000000000000
χ564-44-4400-400−2222−22220000000-440000000−22220022−2222−22000000000000000000000000000
χ574-44-4-40040022−2222−22000004i−4i000000000−2222002i2−2i2−2i22i2000000000000000000000000000
χ584-44-4-40040022−2222−2200000−4i4i000000000−222200−2i22i22i2−2i2000000000000000000000000000
χ594-44-4-400400−2222−2222000004i−4i00000000022−2200−2i22i22i2−2i2000000000000000000000000000
χ604-44-4-400400−2222−222200000−4i4i00000000022−22002i2−2i2−2i22i2000000000000000000000000000
χ614-4-4400400-44-4-44000000000000000000000000000000000000000002i−2i2i−2i000000
χ624-4-4400400-44-4-4400000000000000000000000000000000000000000−2i2i−2i2i000000
χ634-4-4400400-4-444-4000000000000000000000000000000000000000002i−2i−2i2i000000
χ644-4-4400400-4-444-400000000000000000000000000000000000000000−2i2i2i−2i000000
χ658-8-8800-80080000000000000000000000000000000000000000000000000000000

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