Finite Group Databasebeta

← Group #301877

Character table — Group #301877

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222222222444444444444488888888888888888888881616161616161616161616163232
order12222222224488882244444888888444444444488888888888822224444444444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ61111111111111111-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111
χ71111111111111111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111
χ81111111111111111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-1111-1-11-1
χ13111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-1-11
χ14111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1111-1
χ15111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-111-1-11-1-1111-1
χ16111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111-111-1-1-11
χ172222222222-2-2000022-222-2-2000000-2-222-2-222-2-200000000000000000000000000
χ182222222222-2-2000022-222-2-2000000-2-2-2-222-2-22200000000000000000000000000
χ192222222222-2-20000-2-2-2-2-2-2-20000002222-2-2-2-22200000000000000000000000000
χ202222222222-2-20000-2-2-2-2-2-2-200000022-2-22222-2-200000000000000000000000000
χ2122222-2-2-2-22222222222-2-2-2-222-2-2-2-22-200000000-2-2220000000000000000000000
χ2222222-2-2-2-22222222-2-2222-2-222-2-2-2-2-220000000022-2-20000000000000000000000
χ2322222-2-2-2-2222-2-2-2-2222-2-2-2-2-2-222222-20000000022-2-20000000000000000000000
χ2422222-2-2-2-2222-2-2-2-2-2-2222-2-2-2-22222-2200000000-2-2220000000000000000000000
χ2522222-2-2-2-22-2-2000022-2-2-222000000-2200000000000022-2-222-2-200000000000000
χ2622222-2-2-2-22-2-2000022-2-2-222000000-22000000000000-2-222-2-22200000000000000
χ2722222-2-2-2-22-2-20000-2-2-222220000002-200000000000022-2-2-2-22200000000000000
χ2822222-2-2-2-22-2-20000-2-2-222220000002-2000000000000-2-22222-2-200000000000000
χ292222-222-2-2-222222200-2002-2-2-222-2-200000000000000000000002200-2-200000000
χ302222-222-2-2-222222200-2002-2-2-222-2-20000000000000000000000-2-2002200000000
χ312222-222-2-2-222-2-2-2-200-2002-222-2-22200000000000000000000002-200-2200000000
χ322222-222-2-2-222-2-2-2-200-2002-222-2-2220000000000000000000000-22002-200000000
χ332222-2-2-222-222222200-200-22-2-2-2-2220000000000000000000000002200-2-2000000
χ342222-2-2-222-222222200-200-22-2-2-2-222000000000000000000000000-2-20022000000
χ352222-2-2-222-222-2-2-2-200-200-222222-2-20000000000000000000000002-200-22000000
χ362222-2-2-222-222-2-2-2-200-200-222222-2-2000000000000000000000000-22002-2000000
χ372-22-222-22-2-20022−2−22-202-2002−22−22−200002i−2i002i−2i2−22−2i2−i2i2−i2i2−i2i2−i200000000000000
χ382-22-222-22-2-20022−2−22-202-2002−22−22−20000−2i2i00−2i2i2−22−2−i2i2−i2i2−i2i2−i2i200000000000000
χ392-22-222-22-2-20022−2−2-220-22002−22−22−200002i−2i00−2i2i−22−22i2−i2i2−i2−i2i2−i2i200000000000000
χ402-22-222-22-2-20022−2−2-220-22002−22−22−20000−2i2i002i−2i−22−22−i2i2−i2i2i2−i2i2−i200000000000000
χ412-22-222-22-2-200−2−2222-202-200−22−22−2200002i−2i002i−2i−22−22−i2i2−i2i2−i2i2−i2i200000000000000
χ422-22-222-22-2-200−2−2222-202-200−22−22−220000−2i2i00−2i2i−22−22i2−i2i2−i2i2−i2i2−i200000000000000
χ432-22-222-22-2-200−2−222-220-2200−22−22−2200002i−2i00−2i2i2−22−2−i2i2−i2i2i2−i2i2−i200000000000000
χ442-22-222-22-2-200−2−222-220-2200−22−22−220000−2i2i002i−2i2−22−2i2−i2i2−i2−i2i2−i2i200000000000000
χ452-22-22-22-22-20022−2−22-20-22002−2−22−22002i−2i002i−2i00−222−2i2−i2−i2i2i2−i2−i2i200000000000000
χ462-22-22-22-22-20022−2−22-20-22002−2−22−2200−2i2i00−2i2i00−222−2−i2i2i2−i2−i2i2i2−i200000000000000
χ472-22-22-22-22-20022−2−2-2202-2002−2−22−22002i−2i00−2i2i002−2−22i2−i2−i2i2−i2i2i2−i200000000000000
χ482-22-22-22-22-20022−2−2-2202-2002−2−22−2200−2i2i002i−2i002−2−22−i2i2i2−i2i2−i2−i2i200000000000000
χ492-22-22-22-22-200−2−2222-20-2200−222−22−2002i−2i002i−2i002−2−22−i2i2i2−i2−i2i2i2−i200000000000000
χ502-22-22-22-22-200−2−2222-20-2200−222−22−200−2i2i00−2i2i002−2−22i2−i2−i2i2i2−i2−i2i200000000000000
χ512-22-22-22-22-200−2−222-2202-200−222−22−2002i−2i00−2i2i00−222−2−i2i2i2−i2i2−i2−i2i200000000000000
χ522-22-22-22-22-200−2−222-2202-200−222−22−200−2i2i002i−2i00−222−2i2−i2−i2i2−i2i2i2−i200000000000000
χ534444-444-4-4-4-4-4000000400-44000000000000000000000000000000000000000000
χ544444-4-4-444-4-4-40000004004-4000000000000000000000000000000000000000000
χ5544-4-4000000-444-44-400000000000000000000000000000000000000000002i−2i2i−2i00
χ5644-4-4000000-444-44-40000000000000000000000000000000000000000000−2i2i−2i2i00
χ5744-4-4000000-44-44-4400000000000000000000000000000000000000000002i−2i−2i2i00
χ5844-4-4000000-44-44-440000000000000000000000000000000000000000000−2i2i2i−2i00
χ594-44-4-44-4-444002222−22−220000000−222222−22−2222000000000000000000000000000000000000
χ604-44-4-44-4-44400−22−222222000000022−22−222222−22000000000000000000000000000000000000
χ614-44-4-4-444-44002222−22−220000000−2222−222222−22000000000000000000000000000000000000
χ624-44-4-4-444-4400−22−222222000000022−2222−22−2222000000000000000000000000000000000000
χ6388-8-80000008-800000000000000000000000000000000000000000000000000000
χ648-8-880000000042−42−42420000000000000000000000000000000000000000000000000
χ658-8-8800000000−424242−420000000000000000000000000000000000000000000000000

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