Finite Group Databasebeta

← Group #80696

Character table — Group #80696

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222222222223333444444444444446666666666666688881616161624242424
order12222234444666888888884444661212121224242424242424244444448888888822446612124444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-11-11-11-11-1
χ611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-11-11
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-111-11-1
χ91111-1-11-1-1111111111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ101111-1-11-1-1111111111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ121111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ131111-1-11-1-111111-1-1-1-111111111-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11-111-1
χ141111-1-11-1-111111-1-1-1-111111111-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-11-1-11
χ151111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-11111-1-111111111-1-1-1-11-1-111-1-111-1-11
χ161111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-11111-1-111111111-1-1-1-1-111-1-111-1-111-1
χ172222222-2-2-2-222200000000222222-2-2-2-200000000-2-2-2-22200000000000000000000
χ182222222-2-2-2-222200000000-2-2-2-222-2-2-2-2000000002222-2-200000000000000000000
χ19222222-12222-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002222-1-1-1-10000
χ20222222-12222-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-211110000
χ21222222-12222-1-1-1-2-2-2-2-2-2-2-20000-1-1-1-1-1-111111111000000000000002-22-2-11-110000
χ22222222-12222-1-1-1-2-2-2-2-2-2-2-20000-1-1-1-1-1-11111111100000000000000-22-221-11-10000
χ232222-2-2222-2-2222000000002222-2-2-222-200000000-2-222-2-200000000000000000000
χ242222-2-2222-2-222200000000-2-2-2-2-2-2-222-20000000022-2-22200000000000000000000
χ252222-2-2-1-2-222-1-1-12222-2-2-2-2000011-111-1-1-1-1-111110000000000000022-2-2-1-1110000
χ262222-2-2-1-2-222-1-1-12222-2-2-2-2000011-111-1-1-1-1-1111100000000000000-2-22211-1-10000
χ272222-2-2-1-2-222-1-1-1-2-2-2-22222000011-111-11111-1-1-1-1000000000000002-2-22-111-10000
χ282222-2-2-1-2-222-1-1-1-2-2-2-22222000011-111-11111-1-1-1-100000000000000-222-21-1-110000
χ2922-2-22-220000-2-2222−2−222−2−22i2i−2i−2i2-2000022−2−222−2−200002i−2ii2i2−i2−i2i2i2−i2−i2000000000000
χ3022-2-22-220000-2-2222−2−222−2−2−2i−2i2i2i2-2000022−2−222−2−20000−2i2i−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-2-22-220000-2-22−2−222−2−2222i2i−2i−2i2-20000−2−222−2−22200002i−2i−i2−i2i2i2−i2−i2i2i2000000000000
χ3222-2-22-220000-2-22−2−222−2−222−2i−2i2i2i2-20000−2−222−2−2220000−2i2ii2i2−i2−i2i2i2−i2−i2000000000000
χ3322-2-2-2220000-2-2222−2−2−2−2222i2i−2i−2i-22000022−2−2−2−2220000−2i2ii2i2−i2−i2−i2−i2i2i2000000000000
χ3422-2-2-2220000-2-2222−2−2−2−222−2i−2i2i2i-22000022−2−2−2−22200002i−2i−i2−i2i2i2i2i2−i2−i2000000000000
χ3522-2-2-2220000-2-22−2−22222−2−22i2i−2i−2i-220000−2−22222−2−20000−2i2i−i2−i2i2i2i2i2−i2−i2000000000000
χ3622-2-2-2220000-2-22−2−22222−2−2−2i−2i2i2i-220000−2−22222−2−200002i−2ii2i2−i2−i2−i2−i2i2i2000000000000
χ372-22-2002002-2-22-22-22-200002i−2i2i−2i00-20022-22-200002i−2i00002i−2i2i−2i0000000000000000
χ382-22-2002002-2-22-22-22-20000−2i2i−2i2i00-20022-22-20000−2i2i0000−2i2i−2i2i0000000000000000
χ392-22-2002002-2-22-2-22-2200002i−2i2i−2i00-2002-22-2200002i−2i0000−2i2i−2i2i0000000000000000
χ402-22-2002002-2-22-2-22-220000−2i2i−2i2i00-2002-22-220000−2i2i00002i−2i2i−2i0000000000000000
χ412-22-200200-22-22-200002i−2i2i−2i2i−2i2i−2i00200-200002i−2i2i−2i−2i2i000000002-22-2000000000000
χ422-22-200200-22-22-200002i−2i2i−2i−2i2i−2i2i00200-200002i−2i2i−2i2i−2i00000000-22-22000000000000
χ432-22-200200-22-22-20000−2i2i−2i2i2i−2i2i−2i00200-20000−2i2i−2i2i−2i2i00000000-22-22000000000000
χ442-22-200200-22-22-20000−2i2i−2i2i−2i2i−2i2i00200-20000−2i2i−2i2i2i−2i000000002-22-2000000000000
χ452-2-220022i−2i002-2-22−2−22i2−i2−i2i22-2-220002i−2i02−2−22i2−i2−i2i2002i−2i002−2−22−i2i2i2−i2000000000000
χ462-2-220022i−2i002-2-22−2−22i2−i2−i2i2-222-20002i−2i02−2−22i2−i2−i2i200−2i2i00−222−2i2−i2−i2i2000000000000
χ472-2-220022i−2i002-2-2−222−2−i2i2i2−i22-2-220002i−2i0−222−2−i2i2i2−i2002i−2i00−222−2i2−i2−i2i2000000000000
χ482-2-220022i−2i002-2-2−222−2−i2i2i2−i2-222-20002i−2i0−222−2−i2i2i2−i200−2i2i002−2−22−i2i2i2−i2000000000000
χ492-2-22002−2i2i002-2-22−2−22−i2i2i2−i22-2-22000−2i2i02−2−22−i2i2i2−i200−2i2i002−2−22i2−i2−i2i2000000000000
χ502-2-22002−2i2i002-2-22−2−22−i2i2i2−i2-222-2000−2i2i02−2−22−i2i2i2−i2002i−2i00−222−2−i2i2i2−i2000000000000
χ512-2-22002−2i2i002-2-2−222−2i2−i2−i2i22-2-22000−2i2i0−222−2i2−i2−i2i200−2i2i00−222−2−i2i2i2−i2000000000000
χ522-2-22002−2i2i002-2-2−222−2i2−i2−i2i2-222-2000−2i2i0−222−2i2−i2−i2i2002i−2i002−2−22i2−i2−i2i2000000000000
χ53444444-2-4-4-4-4-2-2-2000000000000-2-222220000000000000000000000000000000000
χ544444-4-4-244-4-4-2-2-2000000000000222-2-220000000000000000000000000000000000
χ5544-4-44-4-2000022-22222−22−222222−22−220000-220000−2−222−2−22200000000000000000000000000
χ5644-4-44-4-2000022-2−22−222222−22−2222220000-22000022−2−222−2−200000000000000000000000000
χ5744-4-4-44-2000022-22222−22−22−22−22222200002-20000−2−22222−2−200000000000000000000000000
χ5844-4-4-44-2000022-2−22−2222222222−22−2200002-2000022−2−2−2−22200000000000000000000000000
χ594-44-400-2004-42-224-44-40000000000200-2-22-22000000000000000000000000000000
χ604-44-400-2004-42-22-44-440000000000200-22-22-2000000000000000000000000000000
χ614-44-400-200-442-2200004i−4i4i−4i000000-20020000−2i2i−2i2i00000000000000000000000000
χ624-44-400-200-442-220000−4i4i−4i4i000000-200200002i−2i2i−2i00000000000000000000000000
χ634-4-4400-24i−4i00-22222−22−22222i2−2i2−2i22i20000000−2i2i0−222−2−i2i2i2−i200000000000000000000000000
χ644-4-4400-24i−4i00-222−222222−22−2i22i22i2−2i20000000−2i2i02−2−22i2−i2−i2i200000000000000000000000000
χ654-4-4400-2−4i4i00-22222−22−2222−2i22i22i2−2i200000002i−2i0−222−2i2−i2−i2i200000000000000000000000000
χ664-4-4400-2−4i4i00-222−222222−222i2−2i2−2i22i200000002i−2i02−2−22−i2i2i2−i200000000000000000000000000

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