Finite Group Databasebeta

← Group #13156746

Character table — Group #13156746

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order12222222333666666666666666666666333666666666666666666666222236666666444466666666666666661212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ911-1-111-1-111111-1-1-11111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-11111-1-1-1-11-1i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i11-1-1ii−i−iii−i−iii−i−i
χ1011-1-111-1-111111-1-1-11111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-11111-1-1-1-11-1−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii11-1-1−i−iii−i−iii−i−iii
χ1111-1-111-1-111111-1-1-11111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-11111-1-1-1-1-11i−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-11i−i-1-111ii−i−i−i−iii−i−iii
χ1211-1-111-1-111111-1-1-11111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-11111-1-1-1-1-11−ii1111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii-1-111−i−iiiii−i−iii−i−i
χ1311-1-111-1-111111-1-1-11111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-11-1i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii-1-111−i−iiiii−i−i−i−iii
χ1411-1-111-1-111111-1-1-11111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-11-1−ii-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-1-111ii−i−i−i−iiiii−i−i
χ1511-1-111-1-111111-1-1-11111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-1-11i−i-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii1-1−ii11-1-1−i−iii−i−iiiii−i−i
χ1611-1-111-1-111111-1-1-11111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-1-11−ii-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i1-1i−i11-1-1ii−i−iii−i−i−i−iii
χ172222222222-122222222-122-1-1-1-12-12-1222-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1220022-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-100000000-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000000000
χ182222222222-122222222-122-1-1-1-12-12-1222-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-20022-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-2110000000011111111000000000000-2-2001111000000000000
χ192222222222-122222222-122-1-1-1-12-12-1222-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-12200-2-211-2-2111111111122-1-122-1-100000000-1-1-1-1-1-1-1-1000000000000-2-2001111000000000000
χ202222222222-122222222-122-1-1-1-12-12-1222-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-2-200-2-211-2-21111111111-2-211-2-21100000000111111110000000000002200-1-1-1-1000000000000
χ21222222222-1222222-1-1-12-1-1222222-12-12-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-10022-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ22222222222-1222222-1-1-12-1-1222222-12-12-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-100-2-2-1-122-1-122-1-1-1-1-1-1-1-1000000001111-2-2-2-20000000011111111000000-2-20000111100000000
χ23222222222-1222222-1-1-12-1-1222222-12-12-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1002211-2-211-2-21111111100000000-1-1-1-1222200000000-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ24222222222-1222222-1-1-12-1-1222222-12-12-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-100-2-211-2-211-2-211111111000000001111-2-2-2-20000000011111111000000220000-1-1-1-100000000
χ2522222222-122-1-1-1-1-12222222222-12222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-10000-1-1-1-1-1-1-1-122220000000000000000-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ2622222222-122-1-1-1-1-12222222222-12222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-10000-1-1-1-1-1-1-1-122-2-20000000000000000-1-122-1-122-2-2-2-21111-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ2722222222-122-1-1-1-1-12222222222-12222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-10000-1-1-1-1-1-1-1-1-2-222000000000000000011-2-211-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ2822222222-122-1-1-1-1-12222222222-12222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-10000-1-1-1-1-1-1-1-1-2-2-2-2000000000000000011-2-211-2-2-2-2-2-2111111111111111111112222000000000000-1-1-1-10000
χ292222-2-2-2-22222-222-22-2-222222-2-2-2-2-2-2-2-22222-2-22-222-222-2-22-2-222-2-2-2-22-22-222-2-222-2-200002-22-22-22-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ302222-2-2-2-22222-222-22-2-222222-2-2-2-2-2-2-2-22222-2-22-222-222-2-22-2-222-2-2-2-2-22-2222-2-222-2-20000-22-22-22-22-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ312222-2-2-2-222-12-222-22-2-2-122-1-111-21-21-2-22-1-12-2-2-1122-2-1-111-111-1-1111-22-22-2-1-111-1-11100002-2-112-2-11-1-111-1-111003−3003−30000000033−3−333−3−300000000000000003−33−3000000000000
χ322222-2-2-2-222-12-222-22-2-2-122-1-111-21-21-2-22-1-12-2-2-1122-2-1-111-111-1-1111-22-22-2-1-111-1-11100002-2-112-2-11-1-111-1-11100−3300−3300000000−3−333−3−3330000000000000000−33−33000000000000
χ332222-2-2-2-222-12-222-22-2-2-122-1-111-21-21-2-22-1-12-2-2-1122-2-1-111-111-1-1111-2-22-22-1-111-1-1110000-221-1-221-111-1-111-1-1003−3003−30000000033−3−333−3−30000000000000000−33−33000000000000
χ342222-2-2-2-222-12-222-22-2-2-122-1-111-21-21-2-22-1-12-2-2-1122-2-1-111-111-1-1111-2-22-22-1-111-1-1110000-221-1-221-111-1-111-1-100−3300−3300000000−3−333−3−33300000000000000003−33−3000000000000
χ352222-2-2-2-22-122-222-2-1112-1-122-2-2-2-21-21-2-12-1-1112-2-1-1122-2-2-111-1-111-212-22-2-1-111-1-1110000-112-2-112-2-1-111-1-111000000003−33−300000000000033−3−333−3−30000000000003−33−300000000
χ362222-2-2-2-22-122-222-2-1112-1-122-2-2-2-21-21-2-12-1-1112-2-1-1122-2-2-111-1-111-212-22-2-1-111-1-1110000-112-2-112-2-1-111-1-11100000000−33−33000000000000−3−333−3−333000000000000−33−3300000000
χ372222-2-2-2-22-122-222-2-1112-1-122-2-2-2-21-21-2-12-1-1112-2-1-1122-2-2-111-1-111-21-22-22-1-111-1-11100001-1-221-1-2211-1-111-1-1000000003−33−300000000000033−3−333−3−3000000000000−33−3300000000
χ382222-2-2-2-22-122-222-2-1112-1-122-2-2-2-21-21-2-12-1-1112-2-1-1122-2-2-111-1-111-21-22-22-1-111-1-11100001-1-221-1-2211-1-111-1-100000000−33−33000000000000−3−333−3−3330000000000003−33−300000000
χ3922-2-222-2-222-122-2-2-2222-1-2-211112-1-2-1-2-22-1-1222-1-1-2-2-21111-1-1-11111-1-222-2-2-1-1-1-111112-20022-1-1-2-211-1-1-1-1111122-1-1-2-21100000000-1-1-1-111110000000000002-200-1-111000000000000
χ4022-2-222-2-222-122-2-2-2222-1-2-211112-1-2-1-2-22-1-1222-1-1-2-2-21111-1-1-11111-1-222-2-2-1-1-1-11111-220022-1-1-2-211-1-1-1-11111-2-21122-1-1000000001111-1-1-1-1000000000000-220011-1-1000000000000
χ4122-2-222-2-222-122-2-2-2222-1-2-211112-1-2-1-2-22-1-1222-1-1-2-2-21111-1-1-11111-1-2-2-222-1-1-1-111112-200-2-21122-1-11111-1-1-1-122-1-1-2-21100000000-1-1-1-11111000000000000-220011-1-1000000000000
χ4222-2-222-2-222-122-2-2-2222-1-2-211112-1-2-1-2-22-1-1222-1-1-2-2-21111-1-1-11111-1-2-2-222-1-1-1-11111-2200-2-21122-1-11111-1-1-1-1-2-21122-1-1000000001111-1-1-1-10000000000002-200-1-111000000000000
χ4322-2-222-2-22-1222-2-2-2-1-1-1211-2-2-2-222121-2-12-1-1-1-122111-2-2-2-2-1-1-111112122-2-2-1-1-1-11111002i−2i-1-12211-2-2-1-1-1-1111100000000−i−iii2i2i−2i−2i00000000−i−i−i−iiiii0000002i−2i0000−i−iii00000000
χ4422-2-222-2-22-1222-2-2-2-1-1-1211-2-2-2-222121-2-12-1-1-1-122111-2-2-2-2-1-1-111112122-2-2-1-1-1-1111100−2i2i-1-12211-2-2-1-1-1-1111100000000ii−i−i−2i−2i2i2i00000000iiii−i−i−i−i000000−2i2i0000ii−i−i00000000
χ4522-2-222-2-22-1222-2-2-2-1-1-1211-2-2-2-222121-2-12-1-1-1-122111-2-2-2-2-1-1-1111121-2-222-1-1-1-11111002i−2i11-2-2-1-1221111-1-1-1-100000000−i−iii2i2i−2i−2i00000000−i−i−i−iiiii000000−2i2i0000ii−i−i00000000
χ4622-2-222-2-22-1222-2-2-2-1-1-1211-2-2-2-222121-2-12-1-1-1-122111-2-2-2-2-1-1-1111121-2-222-1-1-1-1111100−2i2i11-2-2-1-1221111-1-1-1-100000000ii−i−i−2i−2i2i2i00000000iiii−i−i−i−i0000002i−2i0000−i−iii00000000
χ4722-2-222-2-2-122-1-11112222-2-2-2-2-2-2-12-22-21-1-12-1-1-1-1-11111111222-2-2-2-2-110000-1-1-1-111112-22i−2i0000000000000000-1-12211-2-22i2i−2i−2i−i−iii-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i000000000000−i−iii0000
χ4822-2-222-2-2-122-1-11112222-2-2-2-2-2-2-12-22-21-1-12-1-1-1-1-11111111222-2-2-2-2-110000-1-1-1-111112-2−2i2i0000000000000000-1-12211-2-2−2i−2i2i2iii−i−i-1-1-1-11111iiii−i−i−i−i−2i−2i2i2i000000000000ii−i−i0000
χ4922-2-222-2-2-122-1-11112222-2-2-2-2-2-2-12-22-21-1-12-1-1-1-1-11111111222-2-2-2-2-110000-1-1-1-11111-222i−2i000000000000000011-2-2-1-1222i2i−2i−2i−i−iii1111-1-1-1-1−i−i−i−iiiii−2i−2i2i2i000000000000ii−i−i0000
χ5022-2-222-2-2-122-1-11112222-2-2-2-2-2-2-12-22-21-1-12-1-1-1-1-11111111222-2-2-2-2-110000-1-1-1-11111-22−2i2i000000000000000011-2-2-1-122−2i−2i2i2iii−i−i1111-1-1-1-1iiii−i−i−i−i2i2i−2i−2i000000000000−i−iii0000
χ5122-2-2-2-2222222-2-2-222-2-22-2-2-2-222-2-22-2222222-2-22-2-2-22-2-2222-2-2-2-222-222-2-2222-2-2-2-22200002-22-2-22-2222-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ5222-2-2-2-2222222-2-2-222-2-22-2-2-2-222-2-22-2222222-2-22-2-2-22-2-2222-2-2-2-222-22-222-222-2-2-2-2220000-22-222-22-2-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ5322-2-2-2-22222-12-2-2-222-2-2-1-2-211-1-1-2121222-1-12-2-2-11-2-2211-1-1-11111-1-1122-2-22-1-11111-1-100002-2-11-221-1-1-11111-1-1003−300−330000000033−3−3−3−33300000000000000003−3−33000000000000
χ5422-2-2-2-22222-12-2-2-222-2-2-1-2-211-1-1-2121222-1-12-2-2-11-2-2211-1-1-11111-1-1122-2-22-1-11111-1-100002-2-11-221-1-1-11111-1-100−33003−300000000−3−33333−3−30000000000000000−333−3000000000000
χ5522-2-2-2-22222-12-2-2-222-2-2-1-2-211-1-1-2121222-1-12-2-2-11-2-2211-1-1-11111-1-112-222-2-1-11111-1-10000-221-12-2-1111-1-1-1-111003−300−330000000033−3−3−3−3330000000000000000−333−3000000000000
χ5622-2-2-2-22222-12-2-2-222-2-2-1-2-211-1-1-2121222-1-12-2-2-11-2-2211-1-1-11111-1-112-222-2-1-11111-1-10000-221-12-2-1111-1-1-1-11100−33003−300000000−3−33333−3−300000000000000003−3−33000000000000
χ5722-2-2-2-2222-122-2-2-22-111211-2-222-2-2-1-2-12-12-1-1112-211-1-2-222-11111-1-1-2-12-2-22-1-11111-1-10000-112-21-1-22-1-11111-1-100000000−i3i3i3−i3000000000000−i3−i3i3i3i3i3−i3−i3000000000000−i3i3i3−i300000000
χ5822-2-2-2-2222-122-2-2-22-111211-2-222-2-2-1-2-12-12-1-1112-211-1-2-222-11111-1-1-2-12-2-22-1-11111-1-10000-112-21-1-22-1-11111-1-100000000i3−i3−i3i3000000000000i3i3−i3−i3−i3−i3i3i3000000000000i3−i3−i3i300000000
χ5922-2-2-2-2222-122-2-2-22-111211-2-222-2-2-1-2-12-12-1-1112-211-1-2-222-11111-1-1-2-1-222-2-1-11111-1-100001-1-22-112-211-1-1-1-11100000000−i3i3i3−i3000000000000−i3−i3i3i3i3i3−i3−i3000000000000i3−i3−i3i300000000
χ6022-2-2-2-2222-122-2-2-22-111211-2-222-2-2-1-2-12-12-1-1112-211-1-2-222-11111-1-1-2-1-222-2-1-11111-1-100001-1-22-112-211-1-1-1-11100000000i3−i3−i3i3000000000000i3i3−i3−i3−i3−i3i3i3000000000000−i3i3i3−i300000000
χ612-22-22-22-2222-2-22-22-22-2-22-22-22-222-2-22-2222-22-2-2-22-222-22-2-22-22-22-22-200002-22-22-22-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000
χ622-22-22-22-2222-2-22-22-22-2-22-22-22-222-2-22-2222-22-2-2-22-222-22-2-22-22-22-22-200002-22-22-22-20000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ632-22-22-22-2-12211-11-1-22-2-22-22-22-2-12-2-221-1-121-1111-11-1-11-11-22-22-22-2-110000-11-11-11-1100000000000000000000−i3i300−i3i30000003−33−3−i3i3−i3i3−i3i3−i3i33−33−33−33−32i−2i2i−2i000000000000−ii−ii0000
χ642-22-22-22-2-12211-11-1-22-2-22-22-22-2-12-2-221-1-121-1111-11-1-11-11-22-22-22-2-110000-11-11-11-1100000000000000000000−i3i300−i3i3000000−33−33−i3i3−i3i3−i3i3−i3i3−33−33−33−33−2i2i−2i2i000000000000i−ii−i0000
χ652-22-22-22-2-12211-11-1-22-2-22-22-22-2-12-2-221-1-121-1111-11-1-11-11-22-22-22-2-110000-11-11-11-1100000000000000000000i3−i300i3−i30000003−33−3i3−i3i3−i3i3−i3i3−i33−33−33−33−3−2i2i−2i2i000000000000i−ii−i0000
χ662-22-22-22-2-12211-11-1-22-2-22-22-22-2-12-2-221-1-121-1111-11-1-11-11-22-22-22-2-110000-11-11-11-1100000000000000000000i3−i300i3−i3000000−33−33i3−i3i3−i3i3−i3i3−i3−33−33−33−332i−2i2i−2i000000000000−ii−ii0000
χ672-22-2-22-22222-222-2-2-2-22-22-22-2-22-2-222-22222-2-22-222-2-22-2-22-2-222-2-22-2200002-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000002-22-2
χ682-22-2-22-22222-222-2-2-2-22-22-22-2-22-2-222-22222-2-22-222-2-22-2-22-2-222-2-22-2200002-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000-22-22
χ692-2-222-2-22222-2-2-22-2-22-2-2-22-22-22222-2-22222-22-2-2-2-22-2-22-22-22-2-22-222200002-22-2-22-2200000000000000000000000000000000000000000000000000002-2-220000000000002-2-220000
χ702-2-222-2-22222-2-2-22-2-22-2-2-22-22-22222-2-22222-22-2-2-2-22-2-22-22-22-2-22-222200002-22-2-22-220000000000000000000000000000000000000000000000000000-222-2000000000000-222-20000
χ712-2-222-2-22-122111-11-22-2-2-22-22-22-122-2-2-1-1-121-11111-111-11-1-22-2-22-22-1-10000-11-111-11-100000000000000000000−i3i300i3−i3000000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i32-2-22000000000000-111-10000
χ722-2-222-2-22-122111-11-22-2-2-22-22-22-122-2-2-1-1-121-11111-111-11-1-22-2-22-22-1-10000-11-111-11-100000000000000000000−i3i300i3−i3000000i3−i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3-222-20000000000001-1-110000
χ732-2-222-2-22-122111-11-22-2-2-22-22-22-122-2-2-1-1-121-11111-111-11-1-22-2-22-22-1-10000-11-111-11-100000000000000000000i3−i300−i3i3000000−i3i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3-222-20000000000001-1-110000
χ742-2-222-2-22-122111-11-22-2-2-22-22-22-122-2-2-1-1-121-11111-111-11-1-22-2-22-22-1-10000-11-111-11-100000000000000000000i3−i300−i3i3000000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i32-2-22000000000000-111-10000
χ752-2-22-222-2222-22-222-2-22-2-22-222-2-2-2-222-2222-2-22-22-222-222-2-2-22-222-2-2-200002-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ762-2-22-222-2222-22-222-2-22-2-22-222-2-2-2-222-2222-2-22-22-222-222-2-2-22-222-2-2-200002-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ77444444444-2-244444-2-2-2-2-2-2-2-2-2-24-2-2-2-24-2-21-2-2-2-2-2-2-2-2-2-2-2-21111111-2-24444111111110000-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000000000000000000000
χ78444444444-2-244444-2-2-2-2-2-2-2-2-2-24-2-2-2-24-2-21-2-2-2-2-2-2-2-2-2-2-2-21111111-2-2-4-4-4-411111111000022222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ7944444444-24-2-2-2-2-2-2444-244-2-2-2-2-2-24-24-2-21-2-2-2-211-2-2-21111-2-2-2-2-2-2-21-200001111111144000000000000000000-2-2-2-2-2-2-2-2000000001111111100000000000000000000000000000000
χ8044444444-24-2-2-2-2-2-2444-244-2-2-2-2-2-24-24-2-21-2-2-2-211-2-2-21111-2-2-2-2-2-2-21-2000011111111-4-40000000000000000002222222200000000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ8144444444-2-24-2-2-2-2-2-2-2-24-2-24444-24-24-2-21-2-2111-2-2111-2-2-2-2-2-2-2-2-2-2-2-210000111111110044000000000000000000000000-2-2-2-2-2-2-2-20000000011111111000000000000000000000000
χ8244444444-2-24-2-2-2-2-2-2-2-24-2-24444-24-24-2-21-2-2111-2-2111-2-2-2-2-2-2-2-2-2-2-2-2100001111111100-4-40000000000000000000000002222222200000000-1-1-1-1-1-1-1-1000000000000000000000000
χ834444-4-4-4-44-2-24-444-4-222-2-2-2-2-222-42222-4-2-21-222-22-2-22-2-2221-1-111-1-1224-44-411-1-111-1-10000-22-22-22-2211-1-111-1-100000000000000000000000000000000000000000000000000000000
χ844444-4-4-4-44-2-24-444-4-222-2-2-2-2-222-42222-4-2-21-222-22-2-22-2-2221-1-111-1-122-44-4411-1-111-1-100002-22-22-22-2-1-111-1-11100000000000000000000000000000000000000000000000000000000
χ854444-4-4-4-4-244-22-2-224-4-444444-4-42-4-4-4-42-2-24-222-22-2-22-2-2224-4-444-4-4220000-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ864444-4-4-4-4-24-2-22-2-224-4-4-244-2-22222-42-42-21-2-2221-1-2-2211-1-1-222-2-222-12000011-1-111-1-1000000000000000000000023−230023−2300000000−3−333−3−33300000000000000000000000000000000
χ874444-4-4-4-4-24-2-22-2-224-4-4-244-2-22222-42-42-21-2-2221-1-2-2211-1-1-222-2-222-12000011-1-111-1-10000000000000000000000−232300−23230000000033−3−333−3−300000000000000000000000000000000
χ884444-4-4-4-4-2-24-22-2-22-2224-2-244-4-42-42-4221-2-21-1-1-2211-1-2-222-222-2-2222-1000011-1-111-1-1000000000000000000000000000023−2323−23000000000000−3−333−3−333000000000000000000000000
χ894444-4-4-4-4-2-24-22-2-22-2224-2-244-4-42-42-4221-2-21-1-1-2211-1-2-222-222-2-2222-1000011-1-111-1-10000000000000000000000000000−2323−232300000000000033−3−333−3−3000000000000000000000000
χ9044-4-444-4-44-2-244-4-4-4-2-2-2-22222224-22-22-4-2-21-2-2-2-2-22222222111-1-1-1-1-2244-4-41111-1-1-1-10000-2-2-2-222221111-1-1-1-100000000000000000000000000000000000000000000000000000000
χ9144-4-444-4-44-2-244-4-4-4-2-2-2-22222224-22-22-4-2-21-2-2-2-2-22222222111-1-1-1-1-22-4-4441111-1-1-1-100002222-2-2-2-2-1-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9244-4-444-4-4-24-2-2-2222444-2-4-42222-2-2-4-2-42-21-2-2-2-211222-1-1-1-1-2-2-222221200001111-1-1-1-14-4000000000000000000-2-2-2-22222000000001111-1-1-1-100000000000000000000000000000000
χ9344-4-444-4-4-24-2-2-2222444-2-4-42222-2-2-4-2-42-21-2-2-2-211222-1-1-1-1-2-2-222221200001111-1-1-1-1-440000000000000000002222-2-2-2-200000000-1-1-1-1111100000000000000000000000000000000
χ9444-4-444-4-4-2-24-2-2222-2-2-2422-4-4-4-4-2424221-2-2111-2-2-1-1-12222-2-2-22222-2-100001111-1-1-1-1004i−4i000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000iiii−i−i−i−i000000000000000000000000
χ9544-4-444-4-4-2-24-2-2222-2-2-2422-4-4-4-4-2424221-2-2111-2-2-1-1-12222-2-2-22222-2-100001111-1-1-1-100−4i4i0000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000−i−i−i−iiiii000000000000000000000000
χ9644-4-4-4-4444-2-24-4-4-44-222-22222-2-2-42-22-24-2-21-222-2222-222-2-21-1-1-1-1112-24-4-4411-1-1-1-1110000-22-222-22-211-1-1-1-11100000000000000000000000000000000000000000000000000000000
χ9744-4-4-4-4444-2-24-4-4-44-222-22222-2-2-42-22-24-2-21-222-2222-222-2-21-1-1-1-1112-2-444-411-1-1-1-11100002-22-2-22-22-1-11111-1-100000000000000000000000000000000000000000000000000000000
χ9844-4-4-4-444-244-2222-24-4-44-4-4-4-4442-44-44-2-2-24-222-2222-222-2-24-4-4-4-4442-20000-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ9944-4-4-4-444-24-2-2222-24-4-4-2-4-422-2-222424-2-21-2-2221-122-2-1-111-22222-2-2-1-2000011-1-1-1-111000000000000000000000023−2300−232300000000−3−33333−3−300000000000000000000000000000000
χ10044-4-4-4-444-24-2-2222-24-4-4-2-4-422-2-222424-2-21-2-2221-122-2-1-111-22222-2-2-1-2000011-1-1-1-1110000000000000000000000−23230023−230000000033−3−3−3−33300000000000000000000000000000000
χ10144-4-4-4-444-2-24-2222-2-222422-4-4442-4-2-4-2-21-2-21-1-1-22-1-1122-2-2-22222-2-221000011-1-1-1-1110000000000000000000000000000−2i32i32i3−2i3000000000000i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ10244-4-4-4-444-2-24-2222-2-222422-4-4442-4-2-4-2-21-2-21-1-1-22-1-1122-2-2-22222-2-221000011-1-1-1-11100000000000000000000000000002i3−2i3−2i32i3000000000000−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ1034-44-44-44-444-2-4-44-44-44-424-4-22-224-2-424-44-2-2-44-4224-44-22-222-22-22-22-2-40000-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-44-44-44-44-24-4-44-442-22-4-224-44-4442-4-2-4-24-22-22-4-4-22-24-44-42-22-22-22420000-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-44-44-44-44-2-2-4-44-442-222-22-22-224-222-2-4-2-212-2222-22-2-22-22-11-11-11-1-2200001-11-11-11-10000000000003-33-33-33-300000000000000000000000000000000000000000000000000000000
χ1064-44-44-44-44-2-2-4-44-442-222-22-22-224-222-2-4-2-212-2222-22-2-22-22-11-11-11-1-2200001-11-11-11-1000000000000-33-33-33-3300000000000000000000000000000000000000000000000000000000
χ1074-44-44-44-4-24-222-22-2-44-424-4-22-22-2-2-4242-21-22-22-1-1-22-21-11-12-22-22-221200001-11-11-11-100000000000000000000−2i32i300−2i32i30000000000i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ1084-44-44-44-4-24-222-22-2-44-424-4-22-22-2-2-4242-21-22-22-1-1-22-21-11-12-22-22-221200001-11-11-11-1000000000000000000002i3−2i3002i3−2i30000000000−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ1094-44-44-44-4-2-2422-22-22-22-4-224-44-4-242-4-221-2-2-11-1221-11-22-222-22-22-22-2-100001-11-11-11-10000000000000000000000000000000023−2323−2300000000−33−33−33−33000000000000000000000000
χ1104-44-44-44-4-2-2422-22-22-22-4-224-44-4-242-4-221-2-2-11-1221-11-22-222-22-22-22-2-100001-11-11-11-100000000000000000000000000000000−2323−2323000000003−33−33−33−3000000000000000000000000
χ1114-44-4-44-4444-2-444-4-4-4-4424-4-222-2-424-2-444-2-2-4-442-24-4-4-222-222-2-222-2240000-222-2-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-44-4-44-444-24-444-4-422-2-4-224-4-44-4-4-2424-24-222-2-44-2224-4-4422-2-222-2-4-20000-222-2-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-44-4-44-444-2-2-444-4-422-22-22-222-2-42-2-224-2-2122-22-2-222-222-2-1-111-1-112-200001-1-111-1-110000000000003-3-333-3-3300000000000000000000000000000000000000000000000000000000
χ1144-44-4-44-444-2-2-444-4-422-22-22-222-2-42-2-224-2-2122-22-2-222-222-2-1-111-1-112-200001-1-111-1-11000000000000-333-3-333-300000000000000000000000000000000000000000000000000000000
χ1154-44-4-44-44-2442-2-222-4-44-44-44-4-442-444-4-2-2-2422-22-2-222-222-2-4-444-4-442-20000-222-2-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-4-44-44-24-22-2-222-4-4424-4-222-2224-2-4-2-21-222-2-11-2221-1-1122-2-222-2-1-200001-1-111-1-110000000000000000000000000000000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000
χ1174-44-4-44-44-24-22-2-222-4-4424-4-222-2224-2-4-2-21-222-2-11-2221-1-1122-2-222-2-1-200001-1-111-1-11000000000000000000000000000000000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000
χ1184-44-4-44-44-2-242-2-22222-2-4-224-4-442-4-242-21-2-2-1-112-21-1-1-222-222-2-222-22100001-1-111-1-11000000000000000000000000000000000000000000003-3-333-3-33000000000000000000000000
χ1194-44-4-44-44-2-242-2-22222-2-4-224-4-442-4-242-21-2-2-1-112-21-1-1-222-222-2-222-22100001-1-111-1-1100000000000000000000000000000000000000000000-333-3-333-3000000000000000000000000
χ1204-4-444-4-4444-2-4-4-44-4-44-42-442-22-24-242-444-2-2-44-422-44-42-22-22-222-22-2-240000-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1214-4-444-4-444-24-4-4-44-42-22-42-2-44-4444-2-424-24-22-22-4-42-22-44-442-222-22-24-20000-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-444-4-444-2-2-4-4-44-42-2222-22-22-24-2-2224-2-212-22222-222-22-2-11-1-11-11-2-200001-11-1-11-110000000000003-33-3-33-3300000000000000000000000000000000000000000000000000000000
χ1234-4-444-4-444-2-2-4-4-44-42-2222-22-22-24-2-2224-2-212-22222-222-22-2-11-1-11-11-2-200001-11-1-11-11000000000000-33-333-33-300000000000000000000000000000000000000000000000000000000
χ1244-4-444-4-44-24-2222-22-44-42-442-22-2-2-242-4-2-21-22-22-1-12-22-11-112-222-22-21-200001-11-1-11-1100000000000000000000−2i32i3002i3−2i30000000000i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ1254-4-444-4-44-24-2222-22-44-42-442-22-2-2-242-4-2-21-22-22-1-12-22-11-112-222-22-21-200001-11-1-11-11000000000000000000002i3−2i300−2i32i30000000000−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ1264-4-444-4-44-2-24222-222-22-42-2-44-44-24-2-42-21-2-2-11-122-11-12-22-22-222-22-2-2100001-11-1-11-1100000000000000000000000000000000−2i32i32i3−2i300000000i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ1274-4-444-4-44-2-24222-222-22-42-2-44-44-24-2-42-21-2-2-11-122-11-12-22-22-222-22-2-2100001-11-1-11-11000000000000000000000000000000002i3−2i3−2i32i300000000−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ1284-4-44-444-444-2-44-444-4-442-442-2-22-42-4-24-44-2-2-4-442-2-4442-2-2222-22-2-222-40000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-44-444-44-24-44-44422-2-42-2-444-4-4-424-2-4-24-222-2-442-2-2-444-422-22-2-22-420000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-44-444-44-2-2-44-44422-222-22-2-22-422-2-2-4-2-2122-22-22-2-22-2-22-1-11-111-12200001-1-11-111-10000000000003-3-33-333-300000000000000000000000000000000000000000000000000000000
χ1314-4-44-444-44-2-2-44-44422-222-22-2-22-422-2-2-4-2-2122-22-22-2-22-2-22-1-11-111-12200001-1-11-111-1000000000000-333-33-3-3300000000000000000000000000000000000000000000000000000000
χ1324-4-44-444-4-2442-22-2-2-4-44-4-44-444-42-4-4442-2-2422-22-22-2-22-2-22-4-44-444-4220000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-444-4-24-22-22-2-2-4-442-442-2-2222-4-242-21-222-2-112-2-2-111-122-22-2-22-1200001-1-11-111-10000000000000000000000000000000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ1344-4-44-444-4-24-22-22-2-2-4-442-442-2-2222-4-242-21-222-2-112-2-2-111-122-22-2-22-1200001-1-11-111-1000000000000000000000000000000000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ1354-4-44-444-4-2-242-22-2-222-2-42-2-444-42-424-221-2-2-1-112-2-1112-2-2222-22-2-222-100001-1-11-111-1000000000000000000000000000000000000000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000
χ1364-4-44-444-4-2-242-22-2-222-2-42-2-444-42-424-221-2-2-1-112-2-1112-2-2222-22-2-222-100001-1-11-111-100000000000000000000000000000000000000000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000
χ13788888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-42222222222222222222222220000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388888-8-8-8-8-4-4-4-44-4-44-444-4-4-4-4-4444444442222-2-22-222-222-2-22-2-222-2-2-2-20000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-888-8-8-4-4-4-4-4444-4-4-4-4444444-4-44-44422222222-2-2-2-2-2-2-2222-2-2-2-22-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-8-888-4-4-4-4444-4-444-44444-4-444-44-4-42222-2-22-2-2-22-2-2222-2-2-2-222-220000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-88-88-8-4-4-444-44-44-444-44-44-44-4-444-44222-22-2-2-22-222-22-2-22-22-22-22-20000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-4-4-44-4-44444-44-44-444-444-4-44-4222-2-22-222-2-22-2-22-2-222-2-22-220000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-4-4444-444-4444-44-44-4-4-4-444-4222-22-2-2-2-22-2-22-22-22-2-22-22220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-888-8-4-4-44-44-4-444-444-44-4-44444-4-44222-2-22-22-222-222-2-2-22-222-2-2-20000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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