Finite Group Databasebeta

← Group #138721

Character table — Group #138721

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order122244444444444488888888888888882444444444888888882244444488888888161616161616161616161616161616162488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i
χ101111-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11−ii
χ111111-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-11−ii
χ121111-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-11iiii−i−i−i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1-1i−i
χ131111-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii
χ141111-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11i−i
χ151111-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-11i−i
χ161111-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-11−i−i−i−iiiii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii
χ17222222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ192222222222-2-2-2-2222222222200000000-2-2000000000000-2-2-2-2000000000000000022−2−222−2−222−2−222−2−20000
χ202222222222-2-2-2-2222222222200000000-2-2000000000000-2-2-2-20000000000000000−2−222−2−222−2−222−2−2220000
χ212222222222-2-2-2-222-2-2-2-2-2-2-2-200000000-2-20000000000002222000000000000000022−2−222−2−2−2−222−2−2220000
χ222222222222-2-2-2-222-2-2-2-2-2-2-2-200000000-2-200000000000022220000000000000000−2−222−2−22222−2−222−2−20000
χ2322222222-2-22222-2-20000000022222222-2-200000000-2-2-2-2000022-2-2-2-2220000000000000000000000000000
χ2422222222-2-22222-2-20000000022222222-2-200000000-2-2-2-20000-2-22222-2-20000000000000000000000000000
χ2522222222-2-22222-2-200000000-2-2-2-2-2-2-2-2-2-20000000022220000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ2622222222-2-22222-2-200000000-2-2-2-2-2-2-2-2-2-2000000002222000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ272222-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000002-2000000000000−2i−2i2i2i000000000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000
χ282222-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000002-2000000000000−2i−2i2i2i0000000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000
χ292222-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000002-20000000000002i2i−2i−2i000000000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000
χ302222-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000002-20000000000002i2i−2i−2i0000000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000
χ312222-2-2-2-222-2-222-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-22222-22−2i−2i−2i−2i2i2i2i2i-2-2222i2i−2i−2i000000000000000000000000000000000000
χ322222-2-2-2-222-2-222-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-22222-222i2i2i2i−2i−2i−2i−2i-2-222−2i−2i2i2i000000000000000000000000000000000000
χ332222-2-2-2-2-2-2-2-22222000000002222-2-2-2-22-200000000-2-222000022-2-222-2-20000000000000000000000000000
χ342222-2-2-2-2-2-2-2-22222000000002222-2-2-2-22-200000000-2-2220000-2-222-2-2220000000000000000000000000000
χ352222-2-2-2-2-2-2-2-2222200000000-2-2-2-222222-20000000022-2-200000000000022-2-2-2-22200000000000000000000
χ362222-2-2-2-2-2-2-2-2222200000000-2-2-2-222222-20000000022-2-2000000000000-2-22222-2-200000000000000000000
χ3722-2-22i−2i2i−2i002i−2i2-2001+i1+i−1−i−1−i1−i1−i−1+i−1+i22-2-22i2i−2i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i00001+i−1−i1−i−1+i002i−2i2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000
χ3822-2-22i−2i2i−2i002i−2i2-2001+i1+i−1−i−1−i1−i1−i−1+i−1+i22-2-22i2i−2i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i00001+i−1−i1−i−1+i00−2i2i-2200−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000
χ3922-2-22i−2i2i−2i002i−2i2-2001+i1+i−1−i−1−i1−i1−i−1+i−1+i-2-222−2i−2i2i2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i00001+i−1−i1−i−1+i2-200002i−2i1+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000000000000000
χ4022-2-22i−2i2i−2i002i−2i2-2001+i1+i−1−i−1−i1−i1−i−1+i−1+i-2-222−2i−2i2i2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i00001+i−1−i1−i−1+i-220000−2i2i−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000000000000000
χ4122-2-22i−2i2i−2i002i−2i2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i22-2-22i2i−2i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000−1−i1+i−1+i1−i002i−2i2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000
χ4222-2-22i−2i2i−2i002i−2i2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i22-2-22i2i−2i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000−1−i1+i−1+i1−i00−2i2i-22001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000
χ4322-2-22i−2i2i−2i002i−2i2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i-2-222−2i−2i2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000−1−i1+i−1+i1−i2-200002i−2i−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000000000000000
χ4422-2-22i−2i2i−2i002i−2i2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i-2-222−2i−2i2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000−1−i1+i−1+i1−i-220000−2i2i1+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000000000000000
χ4522-2-2−2i2i−2i2i00−2i2i2-2001−i1−i−1+i−1+i1+i1+i−1−i−1−i22-2-2−2i−2i2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i00001−i−1+i1+i−1−i002i−2i-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000
χ4622-2-2−2i2i−2i2i00−2i2i2-2001−i1−i−1+i−1+i1+i1+i−1−i−1−i22-2-2−2i−2i2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i00001−i−1+i1+i−1−i00−2i2i2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000
χ4722-2-2−2i2i−2i2i00−2i2i2-2001−i1−i−1+i−1+i1+i1+i−1−i−1−i-2-2222i2i−2i−2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i00001−i−1+i1+i−1−i2-20000−2i2i1−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000000000000000
χ4822-2-2−2i2i−2i2i00−2i2i2-2001−i1−i−1+i−1+i1+i1+i−1−i−1−i-2-2222i2i−2i−2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i00001−i−1+i1+i−1−i-2200002i−2i−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000000000000000
χ4922-2-2−2i2i−2i2i00−2i2i2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i22-2-2−2i−2i2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−1+i1−i−1−i1+i002i−2i-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000
χ5022-2-2−2i2i−2i2i00−2i2i2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i22-2-2−2i−2i2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−1+i1−i−1−i1+i00−2i2i2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000
χ5122-2-2−2i2i−2i2i00−2i2i2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i-2-2222i2i−2i−2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−1+i1−i−1−i1+i2-20000−2i2i−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000000000000000
χ5222-2-2−2i2i−2i2i00−2i2i2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i-2-2222i2i−2i−2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−1+i1−i−1−i1+i-2200002i−2i1−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000000000000000
χ532-22-22i−2i−2i2i2-200002i−2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ22−22−2i2−i2i2−i2001−i−1+i1−i−1+i1+i−1−i1+i−1−i2−2i2−i200000000000000000000ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ70000
χ542-22-22i−2i−2i2i2-200002i−2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ22−22−2i2−i2i2−i2001−i−1+i1−i−1+i1+i−1−i1+i−1−i2−2i2−i200000000000000000000−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ70000
χ552-22-22i−2i−2i2i2-200002i−2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ2−22−22−i2i2−i2i200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−22−i2i200000000000000000000ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ30000
χ562-22-22i−2i−2i2i2-200002i−2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ2−22−22−i2i2−i2i200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−22−i2i200000000000000000000−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ30000
χ572-22-22i−2i−2i2i2-200002i−2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ22−22−2i2−i2i2−i200−1+i1−i−1+i1−i−1−i1+i−1−i1+i2−2i2−i200000000000000000000ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ70000
χ582-22-22i−2i−2i2i2-200002i−2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ22−22−2i2−i2i2−i200−1+i1−i−1+i1−i−1−i1+i−1−i1+i2−2i2−i200000000000000000000−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ70000
χ592-22-22i−2i−2i2i2-200002i−2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2−22−22−i2i2−i2i2001−i−1+i1−i−1+i1+i−1−i1+i−1−i−22−i2i200000000000000000000ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ30000
χ602-22-22i−2i−2i2i2-200002i−2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2−22−22−i2i2−i2i2001−i−1+i1−i−1+i1+i−1−i1+i−1−i−22−i2i200000000000000000000−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ30000
χ612-22-2−2i2i2i−2i2-20000−2i2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62−22−2−i2i2−i2i200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−2−i2i200000000000000000000ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ30000
χ622-22-2−2i2i2i−2i2-20000−2i2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62−22−2−i2i2−i2i200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−2−i2i200000000000000000000−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ30000
χ632-22-2−2i2i2i−2i2-20000−2i2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ6−22−22i2−i2i2−i2001+i−1−i1+i−1−i1−i−1+i1−i−1+i−22i2−i200000000000000000000ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ70000
χ642-22-2−2i2i2i−2i2-20000−2i2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ6−22−22i2−i2i2−i2001+i−1−i1+i−1−i1−i−1+i1−i−1+i−22i2−i200000000000000000000−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ70000
χ652-22-2−2i2i2i−2i2-20000−2i2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ62−22−2−i2i2−i2i2001+i−1−i1+i−1−i1−i−1+i1−i−1+i2−2−i2i200000000000000000000ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ30000
χ662-22-2−2i2i2i−2i2-20000−2i2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ62−22−2−i2i2−i2i2001+i−1−i1+i−1−i1−i−1+i1−i−1+i2−2−i2i200000000000000000000−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ30000
χ672-22-2−2i2i2i−2i2-20000−2i2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6−22−22i2−i2i2−i200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22i2−i200000000000000000000ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ70000
χ682-22-2−2i2i2i−2i2-20000−2i2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6−22−22i2−i2i2−i200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22i2−i200000000000000000000−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ70000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-444-4-4440000000000000000-440000000000000000000000000000000000000000000000000000
χ7144-4-44i−4i4i−4i00−4i4i-44002+2i2+2i−2−2i−2−2i2−2i2−2i−2+2i−2+2i0000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000000000000000
χ7244-4-44i−4i4i−4i00−4i4i-4400−2−2i−2−2i2+2i2+2i−2+2i−2+2i2−2i2−2i00000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000000000000000
χ7344-4-4−4i4i−4i4i004i−4i-44002−2i2−2i−2+2i−2+2i2+2i2+2i−2−2i−2−2i0000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000000000000000
χ7444-4-4−4i4i−4i4i004i−4i-4400−2+2i−2+2i2−2i2−2i−2−2i−2−2i2+2i2+2i00000000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000000000000000
χ754-44-44i−4i−4i4i-440000−4i4i0000000022−2222−222i2−2i22i2−2i20000000000−2222−2i22i20000000000000000000000000000000000000000
χ764-44-44i−4i−4i4i-440000−4i4i00000000−2222−2222−2i22i2−2i22i2000000000022−222i2−2i20000000000000000000000000000000000000000
χ774-44-4−4i4i4i−4i-4400004i−4i0000000022−2222−22−2i22i2−2i22i20000000000−22222i2−2i20000000000000000000000000000000000000000
χ784-44-4−4i4i4i−4i-4400004i−4i00000000−2222−22222i2−2i22i2−2i2000000000022−22−2i22i20000000000000000000000000000000000000000
χ794-4-4444-4-4000000002i2−2i2−2i22i22i2−2i2−2i22i222−22−222222−22−222200−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000
χ804-4-4444-4-4000000002i2−2i2−2i22i22i2−2i2−2i22i2−222222−22−222222−22002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000
χ814-4-4444-4-400000000−2i22i22i2−2i2−2i22i22i2−2i222−22−222222−22−2222002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000
χ824-4-4444-4-400000000−2i22i22i2−2i2−2i22i22i2−2i2−222222−22−222222−2200−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000
χ834-4-44-4-4440000000022−22−2222−222222−2222−22−2222−222222−2200-222-2-222-200000000000000000000000000000000000000000000
χ844-4-44-4-4440000000022−22−2222−222222−22−222222−2222−22−2222002-2-222-2-2200000000000000000000000000000000000000000000
χ854-4-44-4-44400000000−222222−2222−22−222222−22−2222−222222−22002-2-222-2-2200000000000000000000000000000000000000000000
χ864-4-44-4-44400000000−222222−2222−22−2222−222222−2222−22−222200-222-2-222-200000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.