Finite Group Databasebeta

← Group #10876318

Character table — Group #10876318

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order122222222222222234444666666612121212121212122244444466666666666612121212121212121212121288888888242424242424242424242424242424244444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ192222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ202222222222222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000033−3−333−3−333−3−333−3−30000000000000000
χ212222222222222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000−3−333−3−333−3−333−3−3330000000000000000
χ22222222222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ23222222222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-111111111-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ25222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000
χ26222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000000000
χ2722222222-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2922222222-2-2-2-22222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3022222222-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ3122222222-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ3222222222-2-2-2-2-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-20000000000000000000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111222222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−30000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111222222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−3330000000000000000
χ3722-222-2-2-2000022-2-2222-2-222-2-2-2-222222-2-2-2-200002-200000022-2-20000000022-2-2000000000000000000000000000000000000002i−2i002i−2i
χ3822-222-2-2-2000022-2-2222-2-222-2-2-2-222222-2-2-2-200002-200000022-2-20000000022-2-200000000000000000000000000000000000000−2i2i00−2i2i
χ3922-222-2-2-2000022-2-22-2-22222-2-2-2-22-2-2-2-222220000-2200000022-2-200000000-2-2220000000000000000000000000000000000002i−2i002i−2i00
χ4022-222-2-2-2000022-2-22-2-22222-2-2-2-22-2-2-2-222220000-2200000022-2-200000000-2-222000000000000000000000000000000000000−2i2i00−2i2i00
χ4122-222-2-2-20000-2-222222-2-222-2-2-2-222222-2-2-2-20000-22000000-2-22200000000-2-222000000000000000000000000000000000000002i−2i00−2i2i
χ4222-222-2-2-20000-2-222222-2-222-2-2-2-222222-2-2-2-20000-22000000-2-22200000000-2-22200000000000000000000000000000000000000−2i2i002i−2i
χ4322-222-2-2-20000-2-2222-2-22222-2-2-2-22-2-2-2-2222200002-2000000-2-2220000000022-2-20000000000000000000000000000000000002i−2i00−2i2i00
χ4422-222-2-2-20000-2-2222-2-22222-2-2-2-22-2-2-2-2222200002-2000000-2-2220000000022-2-2000000000000000000000000000000000000−2i2i002i−2i00
χ4522-2-2-222-222-2-22-22-2200002-222-2-2-2000000002-200000022-2-22-22-222-2-2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4622-2-2-222-222-2-22-22-2200002-222-2-2-2000000002-200000022-2-22-22-222-2-2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4722-2-2-222-222-2-22-22-2-10000-11-1-111133−3−333−3−32-2000000-1-111-11-11-1-11133−3−33−33−333−3−3−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ4822-2-2-222-222-2-22-22-2-10000-11-1-111133−3−333−3−32-2000000-1-111-11-11-1-11133−3−33−33−333−3−3i2−i2i2−i2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ4922-2-2-222-222-2-22-22-2-10000-11-1-1111−3−333−3−3332-2000000-1-111-11-11-1-111−3−333−33−33−3−333−i2i2−i2i2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ5022-2-2-222-222-2-22-22-2-10000-11-1-1111−3−333−3−3332-2000000-1-111-11-11-1-111−3−333−33−33−3−333i2−i2i2−i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ5122-2-2-222-222-2-2-22-22200002-222-2-2-200000000-2200000022-2-2-22-22-2-222000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ5222-2-2-222-222-2-2-22-22200002-222-2-2-200000000-2200000022-2-2-22-22-2-222000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ5322-2-2-222-222-2-2-22-22-10000-11-1-111133−3−333−3−3-22000000-1-1111-11-111-1-133−3−3−33−33−3−333−i2i2−i2i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ5422-2-2-222-222-2-2-22-22-10000-11-1-111133−3−333−3−3-22000000-1-1111-11-111-1-133−3−3−33−33−3−333i2−i2i2−i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ5522-2-2-222-222-2-2-22-22-10000-11-1-1111−3−333−3−333-22000000-1-1111-11-111-1-1−3−3333−33−333−3−3−i2i2−i2i2i2−i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ5622-2-2-222-222-2-2-22-22-10000-11-1-1111−3−333−3−333-22000000-1-1111-11-111-1-1−3−3333−33−333−3−3i2−i2i2−i2−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ5722-2-2-222-2-2-2222-22-2200002-222-2-2-200000000-22000000-2-2222-22-2-2-222000000000000−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ5822-2-2-222-2-2-2222-22-2200002-222-2-2-200000000-22000000-2-2222-22-2-2-222000000000000i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ5922-2-2-222-2-2-2222-22-2-10000-11-1-111133−3−333−3−3-2200000011-1-1-11-1111-1-1−3−3333−33−3−3−333−i2i2i2−i2−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ6022-2-2-222-2-2-2222-22-2-10000-11-1-111133−3−333−3−3-2200000011-1-1-11-1111-1-1−3−3333−33−3−3−333i2−i2−i2i2i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ6122-2-2-222-2-2-2222-22-2-10000-11-1-1111−3−333−3−333-2200000011-1-1-11-1111-1-133−3−3−33−3333−3−3−i2i2i2−i2−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ6222-2-2-222-2-2-2222-22-2-10000-11-1-1111−3−333−3−333-2200000011-1-1-11-1111-1-133−3−3−33−3333−3−3i2−i2−i2i2i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ6322-2-2-222-2-2-222-22-22200002-222-2-2-2000000002-2000000-2-222-22-2222-2-2000000000000−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ6422-2-2-222-2-2-222-22-22200002-222-2-2-2000000002-2000000-2-222-22-2222-2-2000000000000i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ6522-2-2-222-2-2-222-22-22-10000-11-1-111133−3−333−3−32-200000011-1-11-11-1-1-111−3−333−33−3333−3−3−i2i2i2−i2i2−i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ6622-2-2-222-2-2-222-22-22-10000-11-1-111133−3−333−3−32-200000011-1-11-11-1-1-111−3−333−33−3333−3−3i2−i2−i2i2−i2i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ6722-2-2-222-2-2-222-22-22-10000-11-1-1111−3−333−3−3332-200000011-1-11-11-1-1-11133−3−33−33−3−3−333−i2i2i2−i2i2−i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ6822-2-2-222-2-2-222-22-22-10000-11-1-1111−3−333−3−3332-200000011-1-11-11-1-1-11133−3−33−33−3−3−333i2−i2−i2i2−i2i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ692-222-22-2-22-22-2000022-22-2-2-22-22-222-22-22-22-2002-200002-22-2000000002-22-20000000000000000000000000000000000002i−2i2i−2i00000000
χ702-222-22-2-22-22-2000022-22-2-2-22-22-222-22-22-22-2002-200002-22-2000000002-22-2000000000000000000000000000000000000−2i2i−2i2i00000000
χ712-222-22-2-22-22-200002-22-22-2-22-22-22-22-22-22-2200-2200002-22-200000000-22-22000000000000000000000000000000002i−2i2i−2i000000000000
χ722-222-22-2-22-22-200002-22-22-2-22-22-22-22-22-22-2200-2200002-22-200000000-22-2200000000000000000000000000000000−2i2i−2i2i000000000000
χ732-222-22-2-2-22-22000022-22-2-2-22-22-222-22-22-22-200-220000-22-2200000000-22-220000000000000000000000000000000000002i−2i−2i2i00000000
χ742-222-22-2-2-22-22000022-22-2-2-22-22-222-22-22-22-200-220000-22-2200000000-22-22000000000000000000000000000000000000−2i2i2i−2i00000000
χ752-222-22-2-2-22-2200002-22-22-2-22-22-22-22-22-22-22002-20000-22-22000000002-22-2000000000000000000000000000000002i−2i−2i2i000000000000
χ762-222-22-2-2-22-2200002-22-22-2-22-22-22-22-22-22-22002-20000-22-22000000002-22-200000000000000000000000000000000−2i2i2i−2i000000000000
χ77444-4-4-4-4400004-4-44400004-4-4-444-4000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ78444-4-4-4-4400004-4-44-20000-2222-2-222323−23−23−23−232323000000000000-222-20000000023−23−232300000000000000000000000000000000000000000000
χ79444-4-4-4-4400004-4-44-20000-2222-2-22−23−2323232323−23−23000000000000-222-200000000−232323−2300000000000000000000000000000000000000000000
χ80444-4-4-4-440000-444-4400004-4-4-444-400000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ81444-4-4-4-440000-444-4-20000-2222-2-222323−23−23−23−2323230000000000002-2-2200000000−232323−2300000000000000000000000000000000000000000000
χ82444-4-4-4-440000-444-4-20000-2222-2-22−23−2323232323−23−230000000000002-2-220000000023−23−232300000000000000000000000000000000000000000000
χ8344-444-4-4-4000044-4-4-244-4-4-2-22222-2-2-2-2-2222200004-4000000-2-22200000000-2-22200000000000000000000000000000000000000000000
χ8444-444-4-4-4000044-4-4-2-4-444-2-22222-22222-2-2-2-20000-44000000-2-2220000000022-2-200000000000000000000000000000000000000000000
χ8544-444-4-4-40000-4-444-244-4-4-2-22222-2-2-2-2-222220000-4400000022-2-20000000022-2-200000000000000000000000000000000000000000000
χ8644-444-4-4-40000-4-444-2-4-444-2-22222-22222-2-2-2-200004-400000022-2-200000000-2-22200000000000000000000000000000000000000000000
χ874-444-44-4-44-44-40000-24-44-422-22-22-2-22-22-22-22004-40000-22-2200000000-22-22000000000000000000000000000000000000000000000000
χ884-444-44-4-44-44-40000-2-44-4422-22-22-22-22-22-22-200-440000-22-22000000002-22-2000000000000000000000000000000000000000000000000
χ894-444-44-4-4-44-440000-24-44-422-22-22-2-22-22-22-2200-4400002-22-2000000002-22-2000000000000000000000000000000000000000000000000
χ904-444-44-4-4-44-440000-2-44-4422-22-22-22-22-22-22-2004-400002-22-200000000-22-22000000000000000000000000000000000000000000000000
χ914-44-44-44-40000000040000-44-444-4-4000000000000004i−4i000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ924-44-44-44-40000000040000-44-444-4-400000000000000−4i4i00000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ934-44-44-44-400000000-200002-22-2-22223−23−2323−232323−230000004i−4i00000000−2i32i3−2i32i300000000−2i2i−2i2i0000000000000000000000000000000000000000
χ944-44-44-44-400000000-200002-22-2-22223−23−2323−232323−23000000−4i4i000000002i3−2i32i3−2i3000000002i−2i2i−2i0000000000000000000000000000000000000000
χ954-44-44-44-400000000-200002-22-2-222−232323−2323−23−23230000004i−4i000000002i3−2i32i3−2i300000000−2i2i−2i2i0000000000000000000000000000000000000000
χ964-44-44-44-400000000-200002-22-2-222−232323−2323−23−2323000000−4i4i00000000−2i32i3−2i32i3000000002i−2i2i−2i0000000000000000000000000000000000000000
χ974-4-44-4-4440000000044-4-44-4-4-44-4444-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44-4-444000000004-444-4-4-4-44-444-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-44-4-44400000000-24-4-44222-22-2-2-22-222-22-20000000000000000−2i32i32i3−2i300000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ1004-4-44-4-44400000000-24-4-44222-22-2-2-22-222-22-200000000000000002i3−2i3−2i32i3000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ1014-4-44-4-44400000000-2-444-4222-22-2-22-22-2-22-220000000000000000−2i32i32i3−2i3000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ1024-4-44-4-44400000000-2-444-4222-22-2-22-22-2-22-2200000000000000002i3−2i3−2i32i300000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ1034-4-4-444-444-4-44000040000-444-4-44-400000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-444-444-4-440000-200002-2-222-2223−23−232323−23−232300000000-222-20000000023−23−2323000000000000000000000000000000000000000000000000
χ1054-4-4-444-444-4-440000-200002-2-222-22−232323−23−232323−2300000000-222-200000000−232323−23000000000000000000000000000000000000000000000000
χ1064-4-4-444-44-444-4000040000-444-4-44-40000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-44-444-40000-200002-2-222-2223−23−232323−23−2323000000002-2-2200000000−232323−23000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-444-40000-200002-2-222-22−232323−23−232323−23000000002-2-220000000023−23−2323000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.