Finite Group Databasebeta

← Group #13156745

Character table — Group #13156745

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222222222222222244444444444444444444444466666666666666666666666688888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order1222222233366666666666666666666633366666666666666666666622224444666666661212121212121212366666664466666666666612121212121212121212121212121212121212121212121212121212444412121212121212124444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ911-1-111-1-111111-1-1-11111-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−ii−i
χ1011-1-111-1-111111-1-1-11111-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i-1-1-1-11111ii−i−iiiii−i−i−i−i-11−ii-1-111−i−iii−ii
χ1111-1-111-1-111111-1-1-11111-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii−ii
χ1211-1-111-1-111111-1-1-11111-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiii-1-1-1-11111−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−ii−i
χ1311-1-111-1-111111-1-1-11111-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11-1-1-111-1-1-1-111111111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−i−ii
χ1411-1-111-1-111111-1-1-11111-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iiii−i
χ1511-1-111-1-111111-1-1-11111-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11-1-1-111-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1ii−i−iiiii−i−i−i−i-11−ii-1-111−i−iiii−i
χ1611-1-111-1-111111-1-1-11111-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−i−ii
χ172222222222-122222222-1222-1-1-1-12-1-1222-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1000000000000-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000
χ182222222222-122222222-1222-1-1-1-12-1-1222-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-21100000000000011111111000000000000-2-2001111000000
χ192222222222-122222222-1222-1-1-1-12-1-1222-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-12211111111111122-1-122-1-1000000000000-1-1-1-1-1-1-1-1000000000000-2-2001111000000
χ202222222222-122222222-1222-1-1-1-12-1-1222-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-2111111111111-2-211-2-211000000000000111111110000000000002200-1-1-1-1000000
χ21222222222-1222222-1-1-12-1-1-122222222-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000000000
χ22222222222-1222222-1-1-12-1-1-122222222-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000-2-2-2-21111111100000000000000
χ23222222222-1222222-1-1-12-1-1-122222222-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-211111111000000002222-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000000000
χ24222222222-1222222-1-1-12-1-1-122222222-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100-2-2-2-21111111100000000-2-2-2-211111111000000002222-1-1-1-1-1-1-1-100000000000000
χ2522222222-122-1-1-1-1-122222222222-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1000022220000000022222222-1-1-1-1-1-1-1-122000000000000-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-100
χ2622222222-122-1-1-1-1-122222222222-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1000022220000000022222222-1-1-1-1-1-1-1-1-2-200000000000011-2-211-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000-2-20000111100
χ2722222222-122-1-1-1-1-122222222222-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122000000000000-1-122-1-122111111111111-1-1-1-1-1-1-1-100000000000000-2-20000111100
χ2822222222-122-1-1-1-1-122222222222-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-200000000000011-2-211-2-21111111111111111111100000000000000220000-1-1-1-100
χ292222-2-2-2-22222-222-22-2-2222-222-2-2-2-2-2-2-22222-2-22-222-222-2-22-2-222-2-2-2-22-22-2000022-2-222-2-20000000022-2-222-2-2002-22-222-2-222-2-2000000000000000000000000000000000000000000000000000000
χ302222-2-2-2-22222-222-22-2-2222-222-2-2-2-2-2-2-22222-2-22-222-222-2-22-2-222-2-2-2-2-22-220000-2-222-2-2220000000022-2-222-2-200-22-22-2-222-2-222000000000000000000000000000000000000000000000000000000
χ312222-2-2-2-222-12-222-22-2-2-122-2-1-111-211-2-22-1-12-2-2-1122-2-1-111-111-1-1111-22-22-2000022-2-222-2-200000000-1-111-1-11100-11-11-1-111-1-111003−3003−300000000000033−3−333−3−300000000000000003−33−3000000
χ322222-2-2-2-222-12-222-22-2-2-122-2-1-111-211-2-22-1-12-2-2-1122-2-1-111-111-1-1111-22-22-2000022-2-222-2-200000000-1-111-1-11100-11-11-1-111-1-11100−3300−33000000000000−3−333−3−3330000000000000000−33−33000000
χ332222-2-2-2-222-12-222-22-2-2-122-2-1-111-211-2-22-1-12-2-2-1122-2-1-111-111-1-1111-2-22-220000-2-222-2-22200000000-1-111-1-111001-11-111-1-111-1-1003−3003−300000000000033−3−333−3−30000000000000000−33−33000000
χ342222-2-2-2-222-12-222-22-2-2-122-2-1-111-211-2-22-1-12-2-2-1122-2-1-111-111-1-1111-2-22-220000-2-222-2-22200000000-1-111-1-111001-11-111-1-111-1-100−3300−33000000000000−3−333−3−33300000000000000003−33−3000000
χ352222-2-2-2-22-122-222-2-1112-1-1122-2-2-2-2-2-21-12-1-1112-2-1-1122-2-2-111-1-111-212-22-20000-1-111-1-11133−3−333−3−3-1-111-1-111002-22-2-1-111-1-11100000000000033−3−333−3−300000000000033−3−333−3−300000000000000
χ362222-2-2-2-22-122-222-2-1112-1-1122-2-2-2-2-2-21-12-1-1112-2-1-1122-2-2-111-1-111-212-22-20000-1-111-1-111−3−333−3−333-1-111-1-111002-22-2-1-111-1-111000000000000−3−333−3−333000000000000−3−333−3−33300000000000000
χ372222-2-2-2-22-122-222-2-1112-1-1122-2-2-2-2-2-21-12-1-1112-2-1-1122-2-2-111-1-111-21-22-22000011-1-111-1-133−3−333−3−3-1-111-1-11100-22-2211-1-111-1-100000000000033−3−333−3−3000000000000−3−333−3−33300000000000000
χ382222-2-2-2-22-122-222-2-1112-1-1122-2-2-2-2-2-21-12-1-1112-2-1-1122-2-2-111-1-111-21-22-22000011-1-111-1-1−3−333−3−333-1-111-1-11100-22-2211-1-111-1-1000000000000−3−333−3−33300000000000033−3−333−3−300000000000000
χ3922-2-222-2-222-122-2-2-2222-1-2-2-211112-1-1-2-22-1-1222-1-1-2-2-21111-1-1-11111-1-222-2-200002222-2-2-2-200000000-1-1-1-111112-2-1-111-1-1-1-1111122-1-1-2-211000000000000-1-1-1-111110000000000002-200-1-111000000
χ4022-2-222-2-222-122-2-2-2222-1-2-2-211112-1-1-2-22-1-1222-1-1-2-2-21111-1-1-11111-1-222-2-200002222-2-2-2-200000000-1-1-1-11111-22-1-111-1-1-1-11111-2-21122-1-10000000000001111-1-1-1-1000000000000-220011-1-1000000
χ4122-2-222-2-222-122-2-2-2222-1-2-2-211112-1-1-2-22-1-1222-1-1-2-2-21111-1-1-11111-1-2-2-2220000-2-2-2-2222200000000-1-1-1-111112-211-1-11111-1-1-1-122-1-1-2-211000000000000-1-1-1-11111000000000000-220011-1-1000000
χ4222-2-222-2-222-122-2-2-2222-1-2-2-211112-1-1-2-22-1-1222-1-1-2-2-21111-1-1-11111-1-2-2-2220000-2-2-2-2222200000000-1-1-1-11111-2211-1-11111-1-1-1-1-2-21122-1-10000000000001111-1-1-1-10000000000002-200-1-111000000
χ4322-2-222-2-22-1222-2-2-2-1-1-12111-2-2-2-2222-21-12-1-1-1-122111-2-2-2-2-1-1-111112122-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii-1-1-1-111110022-2-2-1-1-1-11111000000002i2i−2i−2i−i−i−i−iiiii000000002i2i−2i−2i−i−i−i−iiiii00000000000000
χ4422-2-222-2-22-1222-2-2-2-1-1-12111-2-2-2-2222-21-12-1-1-1-122111-2-2-2-2-1-1-111112122-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i-1-1-1-111110022-2-2-1-1-1-1111100000000−2i−2i2i2iiiii−i−i−i−i00000000−2i−2i2i2iiiii−i−i−i−i00000000000000
χ4522-2-222-2-22-1222-2-2-2-1-1-12111-2-2-2-2222-21-12-1-1-1-122111-2-2-2-2-1-1-1111121-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii-1-1-1-1111100-2-2221111-1-1-1-1000000002i2i−2i−2i−i−i−i−iiiii00000000−2i−2i2i2iiiii−i−i−i−i00000000000000
χ4622-2-222-2-22-1222-2-2-2-1-1-12111-2-2-2-2222-21-12-1-1-1-122111-2-2-2-2-1-1-1111121-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i-1-1-1-1111100-2-2221111-1-1-1-100000000−2i−2i2i2iiiii−i−i−i−i000000002i2i−2i−2i−i−i−i−iiiii00000000000000
χ4722-2-222-2-2-122-1-11112222-2-2-2-2-2-2-2-1221-2-1-12-1-1-1-1-11111111222-2-2-2-2-1100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-111112-2000000000000-1-12211-2-2−i−iii−i−i−i−iiiii-1-1-1-11111000000000000002i−2i0000−i−iii00
χ4822-2-222-2-2-122-1-11112222-2-2-2-2-2-2-2-1221-2-1-12-1-1-1-1-11111111222-2-2-2-2-1100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-11111-2200000000000011-2-2-1-122−i−iii−i−i−i−iiiii1111-1-1-1-100000000000000−2i2i0000ii−i−i00
χ4922-2-222-2-2-122-1-11112222-2-2-2-2-2-2-2-1221-2-1-12-1-1-1-1-11111111222-2-2-2-2-110000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-1-1-1-111112-2000000000000-1-12211-2-2ii−i−iiiii−i−i−i−i-1-1-1-1111100000000000000−2i2i0000ii−i−i00
χ5022-2-222-2-2-122-1-11112222-2-2-2-2-2-2-2-1221-2-1-12-1-1-1-1-11111111222-2-2-2-2-110000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-1-1-1-11111-2200000000000011-2-2-1-122ii−i−iiiii−i−i−i−i1111-1-1-1-1000000000000002i−2i0000−i−iii00
χ5122-2-2-2-2222222-2-2-222-2-22-2-22-2-222-2-2-2222222-2-22-2-2-22-2-2222-2-2-2-222-222-2-22000022-2-2-2-2220000000022-2-2-2-222002-2-2222-2-2-2-222000000000000000000000000000000000000000000000000000000
χ5222-2-2-2-2222222-2-2-222-2-22-2-22-2-222-2-2-2222222-2-22-2-2-22-2-2222-2-2-2-222-22-222-20000-2-22222-2-20000000022-2-2-2-22200-222-2-2-22222-2-2000000000000000000000000000000000000000000000000000000
χ5322-2-2-2-22222-12-2-2-222-2-2-1-2-2211-1-1-211222-1-12-2-2-11-2-2211-1-1-11111-1-1122-2-22000022-2-2-2-22200000000-1-11111-1-100-111-1-1-11111-1-1003−300−3300000000000033−3−3−3−33300000000000000003−3−33000000
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χ11744-4-4-4-444-2-24-2222-2-222422-2-4-4442-4-4-2-21-2-21-1-1-22-1-1122-2-2-22222-2-2210000000000000000−2i3−2i32i32i32i32i3−2i3−2i311-1-1-1-11100000000000000000000000000i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
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χ1214-44-44-44-44-2-2-4-44-4-42-222-222-22-224-224-2-2-212-2222-222-22-22-11-11-11-1-2-2000000002i3−2i32i3−2i32i3−2i32i3−2i3000000001-11-11-11-1000000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000000000000000
χ1224-44-44-44-4-24-222-222-44-424-4-4-22-22-2-22-24-21-22-22-1-1-2221-11-12-22-22-221-20000000000000000000000001-11-11-11-100000000000000−2i32i300−2i32i300000000000000i3−i3i3−i3i3−i3i3−i300000000000000000000000000
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χ1244-44-44-44-4-2-2422-2222-22-4-2224-44-4-24-4-2-21-2-2-11-1221-1-1-22-222-22-22-22-2100004-44-400000000-22-22-22-221-11-11-11-10000000000000000000000-22-221-11-11-11-10000000000000000000000000000000000
χ1254-44-44-44-4-2-2422-2222-22-4-2224-44-4-24-4-2-21-2-2-11-1221-1-1-22-222-22-22-22-210000-44-44000000002-22-22-22-21-11-11-11-100000000000000000000002-22-2-11-11-11-110000000000000000000000000000000000
χ1264-44-4-44-4444-2-444-44-4-4424-44-222-2-42-2-4-44-2-2-4-442-24-44-222-222-2-222-22-4000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
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χ1294-44-4-44-44-2442-2-22-2-4-44-44-444-4-442-442-4-2-2422-22-2-22-2-222-2-4-444-4-4422000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1304-44-4-44-44-24-22-2-22-2-4-4424-44-222-222-22-4-21-222-2-11-22-21-1-1122-2-222-2-120000000000000000000000001-1-111-1-1100000000000000000000000000000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000
χ1314-44-4-44-44-24-22-2-22-2-4-4424-44-222-222-22-4-21-222-2-11-22-21-1-1122-2-222-2-120000000000000000000000001-1-111-1-110000000000000000000000000000000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000
χ1324-44-4-44-44-2-242-2-22-222-2-4-22-24-4-442-44221-2-2-1-112-21-11-222-222-2-222-22-1000000000000000023−23−232323−23−23231-1-111-1-1100000000000000000000000000−333−3−333−30000000000000000000000000000000000
χ1334-44-4-44-44-2-242-2-22-222-2-4-22-24-4-442-44221-2-2-1-112-21-11-222-222-2-222-22-10000000000000000−232323−23−232323−231-1-111-1-11000000000000000000000000003−3−333−3−330000000000000000000000000000000000
χ1344-4-444-4-4444-2-4-4-444-44-42-4442-22-24-22-4-44-2-2-44-422-4442-22-22-222-22-2-2-4000000000000000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000000000000000
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χ1364-4-444-4-444-2-2-4-4-4442-2222-2-22-22-24-22-42-2-212-22222-2-22-22-2-11-1-11-11-22000000002i3−2i32i3−2i3−2i32i3−2i32i3000000001-11-1-11-11000000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000000000
χ1374-4-444-4-44-24-2222-2-2-44-42-4442-22-2-2-222-4-21-22-22-1-12-2-2-11-112-222-22-2120000000000000000000000001-11-1-11-1100000000000000−2i32i3002i3−2i300000000000000i3−i3i3−i3−i3i3−i3i300000000000000000000000000
χ1384-4-444-4-44-24-2222-2-2-44-42-4442-22-2-2-222-4-21-22-22-1-12-2-2-11-112-222-22-2120000000000000000000000001-11-1-11-11000000000000002i3−2i300−2i32i300000000000000−i3i3−i3i3i3−i3i3−i300000000000000000000000000
χ1394-4-444-4-44-2-24222-2-22-22-42-2-2-44-44-24-4221-2-2-11-122-1112-22-22-222-22-2-2-100004i−4i−4i4i00000000−2i2i−2i2i2i−2i2i−2i1-11-1-11-110000000000000000000000−2i2i2i−2ii−ii−i−ii−ii0000000000000000000000000000000000
χ1404-4-444-4-44-2-24222-2-22-22-42-2-2-44-44-24-4221-2-2-11-122-1112-22-22-222-22-2-2-10000−4i4i4i−4i000000002i−2i2i−2i−2i2i−2i2i1-11-1-11-1100000000000000000000002i−2i−2i2i−ii−iii−ii−i0000000000000000000000000000000000
χ1414-4-44-444-444-2-44-44-4-4-442-44-42-2-22-42-2444-2-2-4-442-2-44-42-2-2222-22-2-2224000000000000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
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χ1434-4-44-444-44-2-2-44-44-422-222-222-2-22-42-24-2-2-2122-22-22-222-2-22-1-11-111-12-2000000002i3−2i3−2i32i3−2i32i32i3−2i3000000001-1-11-111-1000000−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000000000000000
χ1444-4-44-444-4-2442-22-22-4-44-4-44-4-444-42-44-24-2-2422-22-22-222-2-22-4-44-444-42-2000000000000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1454-4-44-444-4-24-22-22-22-4-442-44-42-2-2222-2-24-21-222-2-112-22-111-122-22-2-22-1-20000000000000000000000001-1-11-111-100000000000000000000000000000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000
χ1464-4-44-444-4-24-22-22-22-4-442-44-42-2-2222-2-24-21-222-2-112-22-111-122-22-2-22-1-20000000000000000000000001-1-11-111-10000000000000000000000000000000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000
χ1474-4-44-444-4-2-242-22-2222-2-42-22-444-42-44-2-21-2-2-1-112-2-11-12-2-2222-22-2-22210000000000000000−2i32i32i3−2i32i3−2i3−2i32i31-1-11-111-100000000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000
χ1484-4-44-444-4-2-242-22-2222-2-42-22-444-42-44-2-21-2-2-1-112-2-11-12-2-2222-22-2-222100000000000000002i3−2i3−2i32i3−2i32i32i3−2i31-1-11-111-100000000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000
χ14988888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222222222222222000000000000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000000
χ1508888-8-8-8-8-4-4-4-44-4-44-444-4-4-44-4-444444442222-2-22-222-222-2-22-2-222-2-2-2-2000000000000000000000000-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000
χ15188-8-888-8-8-4-4-4-4-4444-4-4-4-44444444-4-4-44422222222-2-2-2-2-2-2-2222-2-2-2-22-2000000000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-8-8-888-4-4-4-4444-4-444-444-444-4-4444-4-42222-2-22-2-2-22-2-2222-2-2-2-222-22000000000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000
χ1538-88-88-88-8-4-4-444-4444-444-444-44-44-4-44-4-4222-22-2-2-22-2-22-22-2-22-22-22-222000000000000000000000000-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-8-88-88-4-4-44-4-44-444-44-44-4-444-444-444222-2-22-222-222-2-22-2-222-2-22-2-2000000000000000000000000-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-888-8-88-4-4-4444-4-44-4444-4-44-44-4-4-4444222-22-2-2-2-222-22-22-22-2-22-222-2000000000000000000000000-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-88-888-8-4-4-44-44-4444-444-444-4-4444-4-4-4222-2-22-22-22-2-222-2-2-22-222-2-22000000000000000000000000-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).