Finite Group Databasebeta

← Group #9844

Character table — Group #9844

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111111112222222222222222222222222222222222222222222222222222222222221616161616161616
order1222444422444444444444444444444444448888888888888888888888888888888822448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ51111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1111-1-1
χ91111-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1i−ii−i
χ101111-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−ii−ii
χ111111-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1-1-11i−i−ii
χ121111-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-111-1−iii−i
χ131111-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−ii−ii
χ141111-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111i−ii−i
χ151111-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1-1-11−iii−i
χ161111-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-111-1i−i−ii
χ172222222222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ1922222222-2-222-2-2-2-20000000000000000-2-22200000000000000002222-2-2-2-22222-2-2-2-200000000
χ2022222222-2-222-2-2-2-20000000000000000-2-2220000000000000000-2-2-2-22222-2-2-2-2222200000000
χ2122222222-2-2-2-222-2-2000000000000000022-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000
χ2222222222-2-2-2-222-2-2000000000000000022-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000
χ232222-2-2-2-2222222-2-20000000000000000-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000
χ242222-2-2-2-2222222-2-20000000000000000-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000
χ252222-2-2-2-222-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-22222000000000000000000000000
χ262222-2-2-2-222-2-2-2-2-2-200000000000000002222-2-2-2-222222222-2-2-2-2000000000000000000000000
χ272222-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-2220000000000000000000000000000000000000000
χ282222-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-2220000000000000000000000000000000000000000
χ2922-2-22i−2i2i−2i00002i−2i001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2-200000022-2-200002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00000000
χ3022-2-22i−2i2i−2i00002i−2i001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2-2000000-2-2220000−2i−2i2i2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00000000
χ3122-2-22i−2i2i−2i00002i−2i00−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2-200000022-2-200002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00000000
χ3222-2-22i−2i2i−2i00002i−2i00−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2-2000000-2-2220000−2i−2i2i2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00000000
χ3322-2-22i−2i2i−2i0000−2i2i001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i-220022-2-200002i2i−2i−2i00001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00000000
χ3422-2-22i−2i2i−2i0000−2i2i001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i-2200-2-2220000−2i−2i2i2i0000−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00000000
χ3522-2-22i−2i2i−2i0000−2i2i00−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i-220022-2-200002i2i−2i−2i0000−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00000000
χ3622-2-22i−2i2i−2i0000−2i2i00−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i-2200-2-2220000−2i−2i2i2i00001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00000000
χ3722-2-2−2i2i−2i2i00002i−2i001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i-220022-2-20000−2i−2i2i2i00001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00000000
χ3822-2-2−2i2i−2i2i00002i−2i001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i-2200-2-22200002i2i−2i−2i0000−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00000000
χ3922-2-2−2i2i−2i2i00002i−2i00−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i-220022-2-20000−2i−2i2i2i0000−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00000000
χ4022-2-2−2i2i−2i2i00002i−2i00−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i-2200-2-22200002i2i−2i−2i00001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00000000
χ4122-2-2−2i2i−2i2i0000−2i2i001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i2-200000022-2-20000−2i−2i2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00000000
χ4222-2-2−2i2i−2i2i0000−2i2i001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i2-2000000-2-22200002i2i−2i−2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00000000
χ4322-2-2−2i2i−2i2i0000−2i2i00−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i2-200000022-2-20000−2i−2i2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00000000
χ4422-2-2−2i2i−2i2i0000−2i2i00−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i2-2000000-2-22200002i2i−2i−2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00000000
χ452-22-22i−2i−2i2i002-200001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i002i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i200002ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ00000000
χ462-22-22i−2i−2i2i002-200001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i002i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i20000−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ00000000
χ472-22-22i−2i−2i2i002-20000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i002i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i20000−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ00000000
χ482-22-22i−2i−2i2i002-20000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i002i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i200002ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ00000000
χ492-22-22i−2i−2i2i00-2200001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i00−2i2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i22ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ000000000000
χ502-22-22i−2i−2i2i00-2200001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i00−2i2i−22−222−22−2−i2i2−i2i2i2−i2i2−i2−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ000000000000
χ512-22-22i−2i−2i2i00-220000−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i00−2i2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i2−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ000000000000
χ522-22-22i−2i−2i2i00-220000−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i00−2i2i−22−222−22−2−i2i2−i2i2i2−i2i2−i22ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ000000000000
χ532-22-2−2i2i2i−2i002-200001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i20000−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ300000000
χ542-22-2−2i2i2i−2i002-200001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i200002ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ300000000
χ552-22-2−2i2i2i−2i002-20000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i200002ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ300000000
χ562-22-2−2i2i2i−2i002-20000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i20000−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ300000000
χ572-22-2−2i2i2i−2i00-2200001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i002i−2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i2−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ3000000000000
χ582-22-2−2i2i2i−2i00-2200001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i002i−2i−22−222−22−2i2−i2i2−i2−i2i2−i2i22ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ3000000000000
χ592-22-2−2i2i2i−2i00-220000−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i002i−2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i22ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ3000000000000
χ602-22-2−2i2i2i−2i00-220000−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i002i−2i−22−222−22−2i2−i2i2−i2−i2i2−i2i2−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ3000000000000
χ612-2-2222-2-22-200002-200002i−2i−2i2i0000−2i2i2i−2i00002−2−222−2−222−2−222−2−22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ622-2-2222-2-22-200002-200002i−2i−2i2i0000−2i2i2i−2i0000−222−2−222−2−222−2−222−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ632-2-2222-2-22-200002-20000−2i2i2i−2i00002i−2i−2i2i00002−2−222−2−222−2−222−2−22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ642-2-2222-2-22-200002-20000−2i2i2i−2i00002i−2i−2i2i0000−222−2−222−2−222−2−222−2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ652-2-2222-2-2-220000-222i−2i−2i2i0000−2i2i2i−2i000000002−2−22−222−22−2−22−222−2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ662-2-2222-2-2-220000-222i−2i−2i2i0000−2i2i2i−2i00000000−222−22−2−22−222−22−2−22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ672-2-2222-2-2-220000-22−2i2i2i−2i00002i−2i−2i2i000000002−2−22−222−22−2−22−222−2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ682-2-2222-2-2-220000-22−2i2i2i−2i00002i−2i−2i2i00000000−222−22−2−22−222−22−2−22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ692-2-22-2-2222-20000-222-2-2200002-2-22000000002−2−22−222−2−222−22−2−22−222−22−2−222−2−22−222−200000000
χ702-2-22-2-2222-20000-222-2-2200002-2-2200000000−222−22−2−222−2−22−222−22−2−22−222−2−222−22−2−2200000000
χ712-2-22-2-2222-20000-22-222-20000-222-2000000002−2−22−222−2−222−22−2−222−2−22−222−2−222−22−2−2200000000
χ722-2-22-2-2222-20000-22-222-20000-222-200000000−222−22−2−222−2−22−222−2−222−22−2−222−2−22−222−200000000
χ732-2-22-2-222-2200002-200002-2-2200002-2-2200002−2−222−2−22−222−2−222−2−222−2−222−22−2−222−2−2200000000
χ742-2-22-2-222-2200002-200002-2-2200002-2-220000−222−2−222−22−2−222−2−222−2−222−2−22−222−2−222−200000000
χ752-2-22-2-222-2200002-20000-222-20000-222-200002−2−222−2−22−222−2−222−22−2−222−2−22−222−2−222−200000000
χ762-2-22-2-222-2200002-20000-222-20000-222-20000−222−2−222−22−2−222−2−22−222−2−222−22−2−222−2−2200000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.