Finite Group Databasebeta

← Group #161413

Character table — Group #161413

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222222224444444444444444444444888888881616161611111111222222222222222244444444444444444444448888888816161616
order12222222444444444444444444444488888888888888888888888824442222222244444444444444444444448888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1
χ911111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ1722222222222222-2-2222222-2-2-2-2-2-2-2-2000000000000000000000000000022222222222222-2-2222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ18222222222222-2-222-2-2-2-2-2-222-2-222-2-20000000000000000000000000000222222222222-2-222-2-2-2-2-2-222-2-222-2-20000000000000000000000000000
χ1922222222-2-2-2-222-2-2-2-2-2-222-2-2-2-22222000000000000000000000000000022222222-2-2-2-222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000
χ2022222222-2-2-2-2-2-2222222-2-222-2-2-2-222000000000000000000000000000022222222-2-2-2-2-2-2222222-2-222-2-2-2-2220000000000000000000000000000
χ21222-2-22-2-200002i−2i2i−2i00002i−2i2i−2i2-2000000002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ3000000000000222-2-22-2-200002i−2i2i−2i00002i−2i2i−2i2-2000000002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ3000000000000
χ22222-2-22-2-200002i−2i2i−2i00002i−2i2i−2i2-200000000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ3000000000000222-2-22-2-200002i−2i2i−2i00002i−2i2i−2i2-200000000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ3000000000000
χ23222-2-22-2-200002i−2i−2i2i00002i−2i−2i2i-2200002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ30000000000000000222-2-22-2-200002i−2i−2i2i00002i−2i−2i2i-2200002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ30000000000000000
χ24222-2-22-2-200002i−2i−2i2i00002i−2i−2i2i-220000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ30000000000000000222-2-22-2-200002i−2i−2i2i00002i−2i−2i2i-220000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ30000000000000000
χ25222-2-22-2-20000−2i2i2i−2i0000−2i2i2i−2i-2200002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ0000000000000000222-2-22-2-20000−2i2i2i−2i0000−2i2i2i−2i-2200002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ0000000000000000
χ26222-2-22-2-20000−2i2i2i−2i0000−2i2i2i−2i-220000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ0000000000000000222-2-22-2-20000−2i2i2i−2i0000−2i2i2i−2i-220000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ0000000000000000
χ27222-2-22-2-20000−2i2i−2i2i0000−2i2i−2i2i2-2000000002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ000000000000222-2-22-2-20000−2i2i−2i2i0000−2i2i−2i2i2-2000000002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ000000000000
χ28222-2-22-2-20000−2i2i−2i2i0000−2i2i−2i2i2-200000000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ000000000000222-2-22-2-20000−2i2i−2i2i0000−2i2i−2i2i2-200000000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ000000000000
χ2922-22-2-22-222-2-22i−2i002i2i−2i−2i−2i2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000022-22-2-22-222-2-22i−2i002i2i−2i−2i−2i2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ3022-22-2-22-222-2-22i−2i002i2i−2i−2i−2i2i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000022-22-2-22-222-2-22i−2i002i2i−2i−2i−2i2i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ3122-22-2-22-222-2-2−2i2i00−2i−2i2i2i2i−2i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000022-22-2-22-222-2-2−2i2i00−2i−2i2i2i2i−2i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ3222-22-2-22-222-2-2−2i2i00−2i−2i2i2i2i−2i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000022-22-2-22-222-2-2−2i2i00−2i−2i2i2i2i−2i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ3322-22-2-22-2-2-2222i−2i00−2i−2i2i2i−2i2i0000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000022-22-2-22-2-2-2222i−2i00−2i−2i2i2i−2i2i0000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ3422-22-2-22-2-2-2222i−2i00−2i−2i2i2i−2i2i000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000022-22-2-22-2-2-2222i−2i00−2i−2i2i2i−2i2i000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ3522-22-2-22-2-2-222−2i2i002i2i−2i−2i2i−2i0000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000022-22-2-22-2-2-222−2i2i002i2i−2i−2i2i−2i0000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ3622-22-2-22-2-2-222−2i2i002i2i−2i−2i2i−2i000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000022-22-2-22-2-2-222−2i2i002i2i−2i−2i2i−2i000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ372-2-2222-2-22i−2i2i−2i002i−2i000000−2i2i002-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000002-2-2222-2-22i−2i2i−2i002i−2i000000−2i2i002-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ382-2-2222-2-22i−2i2i−2i002i−2i000000−2i2i002-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000002-2-2222-2-22i−2i2i−2i002i−2i000000−2i2i002-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ392-2-2222-2-22i−2i2i−2i00−2i2i0000002i−2i00-22001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i0000000000002-2-2222-2-22i−2i2i−2i00−2i2i0000002i−2i00-22001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i000000000000
χ402-2-2222-2-22i−2i2i−2i00−2i2i0000002i−2i00-2200−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i0000000000002-2-2222-2-22i−2i2i−2i00−2i2i0000002i−2i00-2200−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i000000000000
χ412-2-2222-2-2−2i2i−2i2i002i−2i000000−2i2i00-22001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i0000000000002-2-2222-2-2−2i2i−2i2i002i−2i000000−2i2i00-22001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i000000000000
χ422-2-2222-2-2−2i2i−2i2i002i−2i000000−2i2i00-2200−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i0000000000002-2-2222-2-2−2i2i−2i2i002i−2i000000−2i2i00-2200−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i000000000000
χ432-2-2222-2-2−2i2i−2i2i00−2i2i0000002i−2i002-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000002-2-2222-2-2−2i2i−2i2i00−2i2i0000002i−2i002-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ442-2-2222-2-2−2i2i−2i2i00−2i2i0000002i−2i002-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000002-2-2222-2-2−2i2i−2i2i00−2i2i0000002i−2i002-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ452-2-2-2-2222000000222-22-200-2-200002-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000002-2-2-2-2222000000222-22-200-2-200002-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ462-2-2-2-2222000000222-22-200-2-200002-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000002-2-2-2-2222000000222-22-200-2-200002-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
χ472-2-2-2-222200000022-22-2200-2-20000-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000002-2-2-2-222200000022-22-2200-2-20000-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000
χ482-2-2-2-222200000022-22-2200-2-20000-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000002-2-2-2-222200000022-22-2200-2-20000-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000
χ492-2-2-2-2222000000-2-22-22-200220000-222−2−22−222−2−222−22−2−220000000000002-2-2-2-2222000000-2-22-22-200220000-222−2−22−222−2−222−22−2−22000000000000
χ502-2-2-2-2222000000-2-22-22-200220000-22−222−22−2−222−2−22−222−20000000000002-2-2-2-2222000000-2-22-22-200220000-22−222−22−2−222−2−22−222−2000000000000
χ512-2-2-2-2222000000-2-2-22-22002200002-22−2−222−2−22−222−2−222−20000000000002-2-2-2-2222000000-2-2-22-22002200002-22−2−222−2−22−222−2−222−2000000000000
χ522-2-2-2-2222000000-2-2-22-22002200002-2−222−2−222−22−2−222−2−220000000000002-2-2-2-2222000000-2-2-22-22002200002-2−222−2−222−22−2−222−2−22000000000000
χ5344-4-44-4-44000044000000-4-400000000000000000000000000000000000044-4-44-4-44000044000000-4-4000000000000000000000000000000000000
χ5444-4-44-4-440000-4-40000004400000000000000000000000000000000000044-4-44-4-440000-4-400000044000000000000000000000000000000000000
χ554-444-4-4-444i−4i−4i4i00000000000000000000000000000000000000000000004-444-4-4-444i−4i−4i4i0000000000000000000000000000000000000000000000
χ564-444-4-4-44−4i4i4i−4i00000000000000000000000000000000000000000000004-444-4-4-44−4i4i4i−4i0000000000000000000000000000000000000000000000
χ574-44-44-44-4000000004i−4i−4i4i000000000000000000000000000000000000004-44-44-44-4000000004i−4i−4i4i00000000000000000000000000000000000000
χ584-44-44-44-400000000−4i4i4i−4i000000000000000000000000000000000000004-44-44-44-400000000−4i4i4i−4i00000000000000000000000000000000000000
χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ601111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ62111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ63111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-1-111
χ64111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i11-1-1
χ65111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii11-1-1
χ66111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-111
χ6711111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-11-11
χ6811111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-1
χ6911111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1
χ7011111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-11-11
χ7111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-111-1
χ7211111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii1-1-11
χ7311111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i1-1-11
χ7411111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-111-1
χ7522222222222222-2-2222222-2-2-2-2-2-2-2-20000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2222222220000000000000000000000000000
χ76222222222222-2-222-2-2-2-2-2-222-2-222-2-20000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222-2-2222222-2-222-2-2220000000000000000000000000000
χ7722222222-2-2-2-222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000-2-2-2-2-2-2-2-22222-2-2222222-2-22222-2-2-2-20000000000000000000000000000
χ7822222222-2-2-2-2-2-2222222-2-222-2-2-2-2220000000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000
χ79222-2-22-2-200002i−2i2i−2i00002i−2i2i−2i2-2000000002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ3000000000000-2-2-222-2220000−2i2i−2i2i0000−2i2i−2i2i-2200000000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ3000000000000
χ80222-2-22-2-200002i−2i2i−2i00002i−2i2i−2i2-200000000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ3000000000000-2-2-222-2220000−2i2i−2i2i0000−2i2i−2i2i-22000000002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ3000000000000
χ81222-2-22-2-200002i−2i−2i2i00002i−2i−2i2i-2200002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ30000000000000000-2-2-222-2220000−2i2i2i−2i0000−2i2i2i−2i2-20000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ30000000000000000
χ82222-2-22-2-200002i−2i−2i2i00002i−2i−2i2i-220000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ30000000000000000-2-2-222-2220000−2i2i2i−2i0000−2i2i2i−2i2-200002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ30000000000000000
χ83222-2-22-2-20000−2i2i2i−2i0000−2i2i2i−2i-2200002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ0000000000000000-2-2-222-22200002i−2i−2i2i00002i−2i−2i2i2-20000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ0000000000000000
χ84222-2-22-2-20000−2i2i2i−2i0000−2i2i2i−2i-220000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ0000000000000000-2-2-222-22200002i−2i−2i2i00002i−2i−2i2i2-200002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ0000000000000000
χ85222-2-22-2-20000−2i2i−2i2i0000−2i2i−2i2i2-2000000002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ000000000000-2-2-222-22200002i−2i2i−2i00002i−2i2i−2i-2200000000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ000000000000
χ86222-2-22-2-20000−2i2i−2i2i0000−2i2i−2i2i2-200000000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ000000000000-2-2-222-22200002i−2i2i−2i00002i−2i2i−2i-22000000002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ000000000000
χ8722-22-2-22-222-2-22i−2i002i2i−2i−2i−2i2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000-2-22-222-22-2-222−2i2i00−2i−2i2i2i2i−2i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ8822-22-2-22-222-2-22i−2i002i2i−2i−2i−2i2i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000-2-22-222-22-2-222−2i2i00−2i−2i2i2i2i−2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ8922-22-2-22-222-2-2−2i2i00−2i−2i2i2i2i−2i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000-2-22-222-22-2-2222i−2i002i2i−2i−2i−2i2i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ9022-22-2-22-222-2-2−2i2i00−2i−2i2i2i2i−2i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000-2-22-222-22-2-2222i−2i002i2i−2i−2i−2i2i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ9122-22-2-22-2-2-2222i−2i00−2i−2i2i2i−2i2i0000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000-2-22-222-2222-2-2−2i2i002i2i−2i−2i2i−2i000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ9222-22-2-22-2-2-2222i−2i00−2i−2i2i2i−2i2i000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000-2-22-222-2222-2-2−2i2i002i2i−2i−2i2i−2i0000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ9322-22-2-22-2-2-222−2i2i002i2i−2i−2i2i−2i0000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000-2-22-222-2222-2-22i−2i00−2i−2i2i2i−2i2i000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ9422-22-2-22-2-2-222−2i2i002i2i−2i−2i2i−2i000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000-2-22-222-2222-2-22i−2i00−2i−2i2i2i−2i2i0000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ952-2-2222-2-22i−2i2i−2i002i−2i000000−2i2i002-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000-222-2-2-222−2i2i−2i2i00−2i2i0000002i−2i00-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ962-2-2222-2-22i−2i2i−2i002i−2i000000−2i2i002-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000-222-2-2-222−2i2i−2i2i00−2i2i0000002i−2i00-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ972-2-2222-2-22i−2i2i−2i00−2i2i0000002i−2i00-22001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i000000000000-222-2-2-222−2i2i−2i2i002i−2i000000−2i2i002-200−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i000000000000
χ982-2-2222-2-22i−2i2i−2i00−2i2i0000002i−2i00-2200−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i000000000000-222-2-2-222−2i2i−2i2i002i−2i000000−2i2i002-2001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i000000000000
χ992-2-2222-2-2−2i2i−2i2i002i−2i000000−2i2i00-22001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i000000000000-222-2-2-2222i−2i2i−2i00−2i2i0000002i−2i002-200−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i000000000000
χ1002-2-2222-2-2−2i2i−2i2i002i−2i000000−2i2i00-2200−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i000000000000-222-2-2-2222i−2i2i−2i00−2i2i0000002i−2i002-2001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i000000000000
χ1012-2-2222-2-2−2i2i−2i2i00−2i2i0000002i−2i002-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000-222-2-2-2222i−2i2i−2i002i−2i000000−2i2i00-2200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ1022-2-2222-2-2−2i2i−2i2i00−2i2i0000002i−2i002-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000-222-2-2-2222i−2i2i−2i002i−2i000000−2i2i00-22001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ1032-2-2-2-2222000000222-22-200-2-200002-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000-22222-2-2-2000000-2-2-22-2200220000-22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
χ1042-2-2-2-2222000000222-22-200-2-200002-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000-22222-2-2-2000000-2-2-22-2200220000-22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ1052-2-2-2-222200000022-22-2200-2-20000-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000-22222-2-2-2000000-2-22-22-2002200002-2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000
χ1062-2-2-2-222200000022-22-2200-2-20000-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000-22222-2-2-2000000-2-22-22-2002200002-2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000
χ1072-2-2-2-2222000000-2-22-22-200220000-222−2−22−222−2−222−22−2−22000000000000-22222-2-2-200000022-22-2200-2-200002-2−222−22−2−222−2−22−222−2000000000000
χ1082-2-2-2-2222000000-2-22-22-200220000-22−222−22−2−222−2−22−222−2000000000000-22222-2-2-200000022-22-2200-2-200002-22−2−22−222−2−222−22−2−22000000000000
χ1092-2-2-2-2222000000-2-2-22-22002200002-22−2−222−2−22−222−2−222−2000000000000-22222-2-2-2000000222-22-200-2-20000-22−222−2−222−22−2−222−2−22000000000000
χ1102-2-2-2-2222000000-2-2-22-22002200002-2−222−2−222−22−2−222−2−22000000000000-22222-2-2-2000000222-22-200-2-20000-222−2−222−2−22−222−2−222−2000000000000
χ11144-4-44-4-44000044000000-4-4000000000000000000000000000000000000-4-444-444-40000-4-400000044000000000000000000000000000000000000
χ11244-4-44-4-440000-4-400000044000000000000000000000000000000000000-4-444-444-4000044000000-4-4000000000000000000000000000000000000
χ1134-444-4-4-444i−4i−4i4i0000000000000000000000000000000000000000000000-44-4-4444-4−4i4i4i−4i0000000000000000000000000000000000000000000000
χ1144-444-4-4-44−4i4i4i−4i0000000000000000000000000000000000000000000000-44-4-4444-44i−4i−4i4i0000000000000000000000000000000000000000000000
χ1154-44-44-44-4000000004i−4i−4i4i00000000000000000000000000000000000000-44-44-44-4400000000−4i4i4i−4i00000000000000000000000000000000000000
χ1164-44-44-44-400000000−4i4i4i−4i00000000000000000000000000000000000000-44-44-44-44000000004i−4i−4i4i00000000000000000000000000000000000000

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