Finite Group Databasebeta

← Group #10858796

Character table — Group #10858796

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12222222222234444666666612121212121212124444446666888888881212121224242424242424242424242424242424448888121212121212121224242424242424244444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ611111111111111111111111111111111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ811111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ911111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11-1
χ1311111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-11
χ1411111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1111-1
χ1511111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1111-1
χ1611111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ172222222222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222222200000000-2-2-2-20000000000000000-2-2000022-2-222-2-2000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2-2-20000000000000000220000-2-222-2-222000000000000000000000000
χ19222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ21222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ22222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ23222222222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-1-1-1-10000000011113333−3−3−3−33333−3−3−3−3-2-20000-1-111-1-11133−3−333−3−30000000000000000
χ24222222222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-1-1-1-1000000001111−3−3−3−33333−3−3−3−33333-2-20000-1-111-1-111−3−333−3−3330000000000000000
χ25222222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-1-1-1-10000000011113333−3−3−3−33333−3−3−3−322000011-1-111-1-1−3−333−3−3330000000000000000
χ26222222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-1-1-1-1000000001111−3−3−3−33333−3−3−3−3333322000011-1-111-1-133−3−333−3−30000000000000000
χ2722222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000222200000000000000002-2000022-2-2-2-222000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000022220000000000000000-220000-2-22222-2-2000000000000000000000000
χ2922222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-111111111-2222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-22-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211112222-2-2-2-21111-1-1-1-1-1-1-1-1111111112-2-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3222222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2221111-2-2-2-22222111111111111-1-1-1-1-1-1-1-12-222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2111100000000-1-1-1-13333−3−3−3−3−3−3−3−333332-20000-1-11111-1-133−3−3−3−3330000000000000000
χ3422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2111100000000-1-1-1-1−3−3−3−333333333−3−3−3−32-20000-1-11111-1-1−3−33333−3−30000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-22222111100000000-1-1-1-13333−3−3−3−3−3−3−3−33333-22000011-1-1-1-111−3−33333−3−30000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-22222111100000000-1-1-1-1−3−3−3−333333333−3−3−3−3-22000011-1-1-1-11133−3−3−3−3330000000000000000
χ3722-22-22-2-222-2-2222-2-222-2-2-2-222222-2-2-2-2002-20022-2-20000000022-2-20000000000000000000000000000000000000000002-22-200000000
χ3822-22-22-2-222-2-2222-2-222-2-2-2-222222-2-2-2-2002-20022-2-20000000022-2-2000000000000000000000000000000000000000000-22-2200000000
χ3922-22-22-2-222-2-22-2-22222-2-2-2-22-2-2-2-2222200-220022-2-200000000-2-222000000000000000000000000000000000000002i2i−2i−2i00002i−2i000000
χ4022-22-22-2-222-2-22-2-22222-2-2-2-22-2-2-2-2222200-220022-2-200000000-2-22200000000000000000000000000000000000000−2i−2i2i2i0000−2i2i000000
χ4122-22-22-2-2-2-222222-2-222-2-2-2-222222-2-2-2-200-2200-2-22200000000-2-2220000000000000000000000000000000000000000002-2-2200000000
χ4222-22-22-2-2-2-222222-2-222-2-2-2-222222-2-2-2-200-2200-2-22200000000-2-222000000000000000000000000000000000000000000-222-200000000
χ4322-22-22-2-2-2-2222-2-22222-2-2-2-22-2-2-2-22222002-200-2-2220000000022-2-2000000000000000000000000000000000000002i2i−2i−2i0000−2i2i000000
χ4422-22-22-2-2-2-2222-2-22222-2-2-2-22-2-2-2-22222002-200-2-2220000000022-2-200000000000000000000000000000000000000−2i−2i2i2i00002i−2i000000
χ4522-2-22-2-222-22-2200002-222-2-2-2000000002-2002-22-22-2−i2−i2i2i2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−i2i2−i2i22-2002-200−i2i2−i2i2−i2i2−i2i20000000000000000
χ4622-2-22-2-222-22-2200002-222-2-2-2000000002-2002-22-22-2i2i2−i2−i2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200i2−i2i2−i22-2002-200i2−i2i2−i2i2−i2i2−i20000000000000000
χ4722-2-22-2-222-22-2200002-222-2-2-200000000-2200-222-22-2−i2−i2i2i2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200i2−i2i2−i2-2200-2200i2−i2i2−i2i2−i2i2−i20000000000000000
χ4822-2-22-2-222-22-2200002-222-2-2-200000000-2200-222-22-2i2i2−i2−i2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−i2i2−i2i2-2200-2200−i2i2−i2i2−i2i2−i2i20000000000000000
χ4922-2-22-2-222-22-2-10000-11-1-111133−3−33−33−32-2002-2-11-11−i2−i2i2i2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−i2i2−i2i2-113−3-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ5022-2-22-2-222-22-2-10000-11-1-111133−3−33−33−32-2002-2-11-11i2i2−i2−i2i2i2−i2−i23−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300i2−i2i2−i2-113−3-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ5122-2-22-2-222-22-2-10000-11-1-111133−3−33−33−3-2200-22-11-11−i2−i2i2i2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300i2−i2i2−i21-1−331-1−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ5222-2-22-2-222-22-2-10000-11-1-111133−3−33−33−3-2200-22-11-11i2i2−i2−i2i2i2−i2−i23−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−i2i2−i2i21-1−331-1−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ5322-2-22-2-222-22-2-10000-11-1-1111−3−333−33−332-2002-2-11-11−i2−i2i2i2−i2−i2i2i2−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−i2i2−i2i2-11−33-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ5422-2-22-2-222-22-2-10000-11-1-1111−3−333−33−332-2002-2-11-11i2i2−i2−i2i2i2−i2−i2−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700i2−i2i2−i2-11−33-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ5522-2-22-2-222-22-2-10000-11-1-1111−3−333−33−33-2200-22-11-11−i2−i2i2i2−i2−i2i2i2−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700i2−i2i2−i21-13−31-13−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ5622-2-22-2-222-22-2-10000-11-1-1111−3−333−33−33-2200-22-11-11i2i2−i2−i2i2i2−i2−i2−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−i2i2−i2i21-13−31-13−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ5722-2-22-2-22-22-22200002-222-2-2-2000000002-200-22-22-22−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200−i2i2i2−i22-200-2200−i2i2−i2i2i2−i2i2−i20000000000000000
χ5822-2-22-2-22-22-22200002-222-2-2-2000000002-200-22-22-22i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200i2−i2−i2i22-200-2200i2−i2i2−i2−i2i2−i2i20000000000000000
χ5922-2-22-2-22-22-22200002-222-2-2-200000000-22002-2-22-22−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200i2−i2−i2i2-22002-200i2−i2i2−i2−i2i2−i2i20000000000000000
χ6022-2-22-2-22-22-22200002-222-2-2-200000000-22002-2-22-22i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200−i2i2i2−i2-22002-200−i2i2−i2i2i2−i2i2−i20000000000000000
χ6122-2-22-2-22-22-22-10000-11-1-111133−3−33−33−32-200-221-11-1−i2−i2i2i2i2i2−i2−i2−33−33ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−i2i2i2−i2-113−31-1−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ6222-2-22-2-22-22-22-10000-11-1-111133−3−33−33−32-200-221-11-1i2i2−i2−i2−i2−i2i2i2−33−33−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300i2−i2−i2i2-113−31-1−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ6322-2-22-2-22-22-22-10000-11-1-111133−3−33−33−3-22002-21-11-1−i2−i2i2i2i2i2−i2−i2−33−33ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300i2−i2−i2i21-1−33-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ6422-2-22-2-22-22-22-10000-11-1-111133−3−33−33−3-22002-21-11-1i2i2−i2−i2−i2−i2i2i2−33−33−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−i2i2i2−i21-1−33-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ6522-2-22-2-22-22-22-10000-11-1-1111−3−333−33−332-200-221-11-1−i2−i2i2i2i2i2−i2−i23−33−3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−i2i2i2−i2-11−331-13−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ6622-2-22-2-22-22-22-10000-11-1-1111−3−333−33−332-200-221-11-1i2i2−i2−i2−i2−i2i2i23−33−3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700i2−i2−i2i2-11−331-13−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ6722-2-22-2-22-22-22-10000-11-1-1111−3−333−33−33-22002-21-11-1−i2−i2i2i2i2i2−i2−i23−33−3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700i2−i2−i2i21-13−3-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ6822-2-22-2-22-22-22-10000-11-1-1111−3−333−33−33-22002-21-11-1i2i2−i2−i2−i2−i2i2i23−33−3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−i2i2i2−i21-13−3-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ692-22-2-22-22000022-22-2-2-22-22-222-22-222-2-200000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000002i−2i2i−2i0000002-20000
χ702-22-2-22-22000022-22-2-2-22-22-222-22-222-2-200000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000−2i2i−2i2i000000-220000
χ712-22-2-22-22000022-22-2-2-22-22-222-22-222-2-20000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000002i−2i2i−2i000000-220000
χ722-22-2-22-22000022-22-2-2-22-22-222-22-222-2-20000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000−2i2i−2i2i0000002-20000
χ732-2-2-2222-200002-222-2-2-2-22-222-22-2222-2-2000000000000002i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000002-2-22000000002i−2i00
χ742-2-2-2222-200002-222-2-2-2-22-222-22-2222-2-2000000000000002i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000-222-200000000−2i2i00
χ752-2-2-2222-200002-222-2-2-2-22-222-22-2222-2-200000000000000−2i2i−2i2i000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000002-2-2200000000−2i2i00
χ762-2-2-2222-200002-222-2-2-2-22-222-22-2222-2-200000000000000−2i2i−2i2i000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000-222-2000000002i−2i00
χ77444-4-4-44-44-4-44400004-4-4-444-4000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ78444-4-4-44-44-4-44-20000-2222-2-222323−23−23−2323−2323000000-222-20000000023−23−2323000000000000000000000000000000000000000000000000000000
χ79444-4-4-44-44-4-44-20000-2222-2-22−23−23232323−2323−23000000-222-200000000−232323−23000000000000000000000000000000000000000000000000000000
χ80444-4-4-44-4-444-4400004-4-4-444-400000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000
χ81444-4-4-44-4-444-4-20000-2222-2-222323−23−23−2323−23230000002-2-2200000000−232323−23000000000000000000000000000000000000000000000000000000
χ82444-4-4-44-4-444-4-20000-2222-2-22−23−23232323−2323−230000002-2-220000000023−23−2323000000000000000000000000000000000000000000000000000000
χ8344-44-44-4-444-4-4-244-4-4-2-22222-2-2-2-2-22222004-400-2-22200000000-2-222000000000000000000000000000000000000000000000000000000
χ8444-44-44-4-444-4-4-2-4-444-2-22222-22222-2-2-2-200-4400-2-2220000000022-2-2000000000000000000000000000000000000000000000000000000
χ8544-44-44-4-4-4-444-244-4-4-2-22222-2-2-2-2-2222200-440022-2-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ8644-44-44-4-4-4-444-2-4-444-2-22222-22222-2-2-2-2004-40022-2-200000000-2-222000000000000000000000000000000000000000000000000000000
χ874-4444-4-4-4000040000-44-444-4-4000000000000000000000022−22−222200000000000022−22−222222−22−222200000000000000000000000000000000000000
χ884-4444-4-4-4000040000-44-444-4-40000000000000000000000−222222−22000000000000−222222−22−222222−2200000000000000000000000000000000000000
χ894-4444-4-4-40000-200002-22-2-22223−23−2323−232323−230000000000000022−22−22220000000000002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000
χ904-4444-4-4-40000-200002-22-2-22223−23−2323−232323−2300000000000000−222222−22000000000000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000
χ914-4444-4-4-40000-200002-22-2-222−232323−2323−23−23230000000000000022−22−22220000000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000
χ924-4444-4-4-40000-200002-22-2-222−232323−2323−23−232300000000000000−222222−22000000000000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000
χ934-44-4-44-4400004-44-44-4-44-44-44-44-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-4-44-440000-24-44-422-22-22-2-22-22-2-22200000000004i−4i4i−4i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ954-44-4-44-440000-24-44-422-22-22-2-22-22-2-2220000000000−4i4i−4i4i000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ964-44-4-44-440000-2-44-4422-22-22-22-22-222-2-20000000000000000000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000000000
χ974-44-4-44-440000-2-44-4422-22-22-22-22-222-2-200000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000000000
χ984-4-44-4-444000040000-444-4-44-400000000000000000022−22−22220000000022−22−222222−22−22220000000000000000000000000000000000000000000000
χ994-4-44-4-444000040000-444-4-44-4000000000000000000−222222−2200000000−222222−22−222222−220000000000000000000000000000000000000000000000
χ1004-4-44-4-4440000-200002-2-222-2223−23−232323−23−2323000000000022−22−2222000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000000000
χ1014-4-44-4-4440000-200002-2-222-2223−23−232323−23−23230000000000−222222−2200000000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000000000
χ1024-4-44-4-4440000-200002-2-222-22−232323−23−232323−23000000000022−22−2222000000002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000000000
χ1034-4-44-4-4440000-200002-2-222-22−232323−23−232323−230000000000−222222−2200000000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000000000
χ1044-4-4-4444-4000044-4-44-4-4-44-4444-44-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4-4444-40000-24-4-44222-22-2-2-22-2222-2-2000000000000000000000000000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000
χ1064-4-4-4444-40000-24-4-44222-22-2-2-22-2222-2-20000000000000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000
χ1074-4-4-4444-40000-2-444-4222-22-2-22-22-2-2-222000000000000004i−4i4i−4i000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ1084-4-4-4444-40000-2-444-4222-22-2-22-22-2-2-22200000000000000−4i4i−4i4i0000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000

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