Finite Group Databasebeta

← Group #13156802

Character table — Group #13156802

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222222222222222244444444444444444444444466666666666666666666666688888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666664444444412121212121212121212121212121212366666664412121212121212121212121212121212121212121212121212121212121212121212121212121212444412121212121212124444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
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
χ911-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1ii−i−i1111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−iii−i−i11-1-1i−i
χ1011-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11ii−i−i-1-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i-11−ii−i−iii-1-111−ii
χ1111-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1ii−i−i1111-1-1-1-1-1-111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−iiiii-11i−iii−i−i-1-111−ii
χ1211-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-11ii−i−i-1-1-1-11111-1-111iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−i−i−iiiii1-1−ii−i−iii11-1-1i−i
χ1311-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1−i−iii1111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii−i−iii11-1-1−ii
χ1411-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11−i−iii-1-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiii-11i−iii−i−i-1-111i−i
χ1511-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii-1-111−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1−i−iii1111-1-1-1-1-1-111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−iiiii−i−i−i−i-11−ii−i−iii-1-111i−i
χ1611-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii-1-111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-11−i−iii-1-1-1-11111-1-111−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iiiii−i−i−i−i1-1i−iii−i−i11-1-1−ii
χ172222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12000022220000000022222222-1-1-1-1-1-1-1-122000022-1-122-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022000000-1-1-1-100
χ182222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12000022220000000022222222-1-1-1-1-1-1-1-1-2-20000-2-211-2-211-1-1-1-100000000-1-1-1-1-1-1-1-111111111000000000000-2-2000000111100
χ192222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122000022-1-122-1-111110000000011111111-1-1-1-1-1-1-1-1000000000000-2-2000000111100
χ202222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-20000-2-211-2-211111100000000111111111111111100000000000022000000-1-1-1-100
χ21222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1222200002222222200000000-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1220000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000000022-1-1-1-1000000
χ22222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1222200002222222200000000-1-1-1-1-1-1-1-1-2-2-1-1-1-111-2-211-2-20000-1-1-1-1-1-1-1-1000000001111111100000000000000-2-21111000000
χ23222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1221111-1-122-1-12200001111111100000000-1-1-1-1-1-1-1-100000000000000-2-21111000000
χ24222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-2111111-2-211-2-200001111111100000000111111110000000000000022-1-1-1-1000000
χ2522222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000000000
χ2622222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100222200000000-2-2-2-2-1-1-1-1-1-1-1-11111111100000000-2-2-2-21111111100000000000000
χ2722222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000222211111111-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000000000
χ2822222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100-2-2-2-200000000-2-2-2-21111111111111111000000002222-1-1-1-1-1-1-1-100000000000000
χ29222-22-2-2-22222-22-222-22-222-2-2-2-2-222-2-2-22222-2-22-22-22-2-222-2-222-2-2-2-222-22-2000022-2-222-2-20000000022-2-222-2-2002-22-200000000000022-2-222-2-2000000000000000000000000000000000000000000
χ30222-22-2-2-22222-22-222-22-222-2-2-2-2-222-2-2-22222-2-22-22-22-2-222-2-222-2-2-2-22-22-220000-2-222-2-2220000000022-2-222-2-200-22-22000000000000-2-222-2-222000000000000000000000000000000000000000000
χ31222-22-2-2-22-122-2-1122-2-1122-2-2-21-22-1-21-2-12-1-1112-2-11-11122-2-2-1-111-21-12-22-2000022-2-222-2-200000000-1-111-1-11100-11-113−3003−3000000-1-111-1-1110000000033−3−333−3−300000000000000003−33−3000000
χ32222-22-2-2-22-122-2-1122-2-1122-2-2-21-22-1-21-2-12-1-1112-2-11-11122-2-2-1-111-21-12-22-2000022-2-222-2-200000000-1-111-1-11100-11-11−3300−33000000-1-111-1-11100000000−3−333−3−3330000000000000000−33−33000000
χ33222-22-2-2-22-122-2-1122-2-1122-2-2-21-22-1-21-2-12-1-1112-2-11-11122-2-2-1-111-21-1-22-220000-2-222-2-22200000000-1-111-1-111001-11-13−3003−300000011-1-111-1-10000000033−3−333−3−30000000000000000−33−33000000
χ34222-22-2-2-22-122-2-1122-2-1122-2-2-21-22-1-21-2-12-1-1112-2-11-11122-2-2-1-111-21-1-22-220000-2-222-2-22200000000-1-111-1-111001-11-1−3300−3300000011-1-111-1-100000000−3−333−3−33300000000000000003−33−3000000
χ35222-22-2-2-2-122-112-22-112-222-2-21-2-2-121-2-2-1-12-111-112-2-111-1-11122-2-21-2-12-22-20000-1-111-1-11133−3−333−3−3-1-111-1-111002-22-2000000000000-1-111-1-11133−3−333−3−300000000000033−3−333−3−300000000000000
χ36222-22-2-2-2-122-112-22-112-222-2-21-2-2-121-2-2-1-12-111-112-2-111-1-11122-2-21-2-12-22-20000-1-111-1-111−3−333−3−333-1-111-1-111002-22-2000000000000-1-111-1-111−3−333−3−333000000000000−3−333−3−33300000000000000
χ37222-22-2-2-2-122-112-22-112-222-2-21-2-2-121-2-2-1-12-111-112-2-111-1-11122-2-21-2-1-22-22000011-1-111-1-133−3−333−3−3-1-111-1-11100-22-2200000000000011-1-111-1-133−3−333−3−3000000000000−3−333−3−33300000000000000
χ38222-22-2-2-2-122-112-22-112-222-2-21-2-2-121-2-2-1-12-111-112-2-111-1-11122-2-21-2-1-22-22000011-1-111-1-1−3−333−3−333-1-111-1-11100-22-2200000000000011-1-111-1-1−3−333−3−33300000000000033−3−333−3−300000000000000
χ3922-22-22-2-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-2000022-2-2000000002222-2-2-2-2-1-1-1-111112-2000022-1-1-2-211-1-11100000000-1-1-1-11111-1-1-1-111110000000000002-2000000-1-11100
χ4022-22-22-2-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-2000022-2-2000000002222-2-2-2-2-1-1-1-11111-220000-2-21122-1-1-1-11100000000-1-1-1-111111111-1-1-1-1000000000000-2200000011-1-100
χ4122-22-22-2-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-20000-2-22200000000-2-2-2-22222-1-1-1-111112-2000022-1-1-2-21111-1-1000000001111-1-1-1-1-1-1-1-11111000000000000-2200000011-1-100
χ4222-22-22-2-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-20000-2-22200000000-2-2-2-22222-1-1-1-11111-220000-2-21122-1-111-1-1000000001111-1-1-1-11111-1-1-1-10000000000002-2000000-1-11100
χ4322-22-22-2-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-112i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000-1-1-1-111112-2−i−iii-1-12211-2-20000−i−i−i−iiiii00000000-1-1-1-11111000000000000002i−2i−i−iii000000
χ4422-22-22-2-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-112i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000-1-1-1-11111-22−i−iii11-2-2-1-1220000−i−i−i−iiiii000000001111-1-1-1-100000000000000−2i2iii−i−i000000
χ4522-22-22-2-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-11−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000-1-1-1-111112-2ii−i−i-1-12211-2-20000iiii−i−i−i−i00000000-1-1-1-1111100000000000000−2i2iii−i−i000000
χ4622-22-22-2-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-11−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000-1-1-1-11111-22ii−i−i11-2-2-1-1220000iiii−i−i−i−i000000001111-1-1-1-1000000000000002i−2i−i−iii000000
χ4722-22-22-2-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-1212i2i−2i−2i22-2-2−i−i−i−iiiii-1-1-1-11111-1-1-1-11111002i2i−2i−2i0000000022-2-2−i−i−i−iiiii-1-1-1-11111000000002i2i−2i−2i−i−i−i−iiiii00000000000000
χ4822-22-22-2-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-1212i2i−2i−2i-2-222−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111002i2i−2i−2i00000000-2-222−i−i−i−iiiii1111-1-1-1-100000000−2i−2i2i2iiiii−i−i−i−i00000000000000
χ4922-22-22-2-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121−2i−2i2i2i22-2-2iiii−i−i−i−i-1-1-1-11111-1-1-1-1111100−2i−2i2i2i0000000022-2-2iiii−i−i−i−i-1-1-1-1111100000000−2i−2i2i2iiiii−i−i−i−i00000000000000
χ5022-22-22-2-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121−2i−2i2i2i-2-222iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111100−2i−2i2i2i00000000-2-222iiii−i−i−i−i1111-1-1-1-1000000002i2i−2i−2i−i−i−i−iiiii00000000000000
χ5122-2-2-2-2222222-22-22-22-22-2-222-2-2-2-2-222-22222-2-22-22-2-222-2-222-2-222-2-2-22i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-222002i−2i−2i2i0000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000
χ5222-2-2-2-2222222-22-22-22-22-2-222-2-2-2-2-222-22222-2-22-22-2-222-2-222-2-222-2-2-2−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i0000000022-2-2-2-22200−2i2i2i−2i000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000
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χ11544-4-4-4-444-24-2-224-4-22-2-4422-2-22-422-4-242-21-2-2221-1-222-2-2-1-11122-2-2-12200000000000000002323−23−23−23−23232311-1-1-1-11100000000000000000000000000−3−33333−3−30000000000000000000000000000000000
χ11644-4-4-4-444-24-2-224-4-22-2-4422-2-22-422-4-242-21-2-2221-1-222-2-2-1-11122-2-2-1220000000000000000−23−2323232323−23−2311-1-1-1-1110000000000000000000000000033−3−3−3−3330000000000000000000000000000000000
χ11744-4-4-4-444-2-24-22-2242-22-2-4-44422-422-2-2-41-2-21-1-1-22-22-11122-2-222-2-222-14i−4i−4i4i0000−2i−2i2i2i2i2i−2i−2i0000000011-1-1-1-11100−2i2i2i−2i000000000000ii−i−i−i−iii000000000000000000000000000000000000000000
χ11844-4-4-4-444-2-24-22-2242-22-2-4-44422-422-2-2-41-2-21-1-1-22-22-11122-2-222-2-222-1−4i4i4i−4i00002i2i−2i−2i−2i−2i2i2i0000000011-1-1-1-111002i−2i−2i2i000000000000−i−iiiii−i−i000000000000000000000000000000000000000000
χ1194-444-4-44-44-24-4422-44-4-224-44-4-4-24-424-2-4-24-22-22-4422-2-224-44-4-22-22-4-22000000000000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1204-444-4-44-44-2-2-442224-4-22-22-22-4-2-2-424-22-2-212-222-2-1-1-2-22-22-221-11-12120000000000000000000000001-11-11-11-100000000−2i32i300−2i32i300000000000000000000i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ1214-444-4-44-44-2-2-442224-4-22-22-22-4-2-2-424-22-2-212-222-2-1-1-2-22-22-221-11-12120000000000000000000000001-11-11-11-1000000002i3−2i3002i3−2i300000000000000000000−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ1224-444-4-44-4-24-22-2-4-42-224-4-22-2224-22-4-242-21-22-22-1122-2-221-11-1-22-22-1-2200004i−4i4i−4i00000000−2i2i−2i2i−2i2i−2i2i1-11-11-11-100000000000000−2i2i−2i2i00000000i−ii−ii−ii−i0000000000000000000000000000000000
χ1234-444-4-44-4-24-22-2-4-42-224-4-22-2224-22-4-242-21-22-22-1122-2-221-11-1-22-22-1-220000−4i4i−4i4i000000002i−2i2i−2i2i−2i2i−2i1-11-11-11-1000000000000002i−2i2i−2i00000000−ii−ii−ii−ii0000000000000000000000000000000000
χ1244-444-4-44-4-2-242-222-4-22-224-44-42-2422-2-2-41-2-2-11-12-22211-1-22-22-22-222-2-10000000023−2323−2323−2323−23000000001-11-11-11-1000000000000000000−33−33−33−33000000000000000000000000000000000000000000
χ1254-444-4-44-4-2-242-222-4-22-224-44-42-2422-2-2-41-2-2-11-12-22211-1-22-22-22-222-2-100000000−2323−2323−2323−2323000000001-11-11-11-10000000000000000003−33−33−33−3000000000000000000000000000000000000000000
χ1264-44-4-44-4444-2-4-4-4424444-222-24-42-4-4-4-4-24-2-2-4-44222-24-44-222-2-222-2-22-4000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1274-44-4-44-444-24-4-42-2-444-2-24-4-4442-4-42-424-24-222-2-4-42-2-22-24-4-44-222-2422000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1284-44-4-44-444-2-2-4-42-2244-2-2-222-2422-42-42-2-2-2122-222-11-22-2-222-21-1-11-2-120000000000000000000000001-1-111-1-1100000000000000000000000000000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000
χ1294-44-4-44-444-2-2-4-42-2244-2-2-222-2422-42-42-2-2-2122-222-11-22-2-222-21-1-11-2-120000000000000000000000001-1-111-1-110000000000000000000000000000000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000
χ1304-44-4-44-44-24-222-442-2-244-222-2-2-422-42-4-2-21-222-2-1-12-2-22-21-1-11-222-21220000000000000000−2i32i32i3−2i3−2i32i32i3−2i31-1-111-1-1100000000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
χ1314-44-4-44-44-24-222-442-2-244-222-2-2-422-42-4-2-21-222-2-1-12-2-22-21-1-11-222-212200000000000000002i3−2i3−2i32i32i3−2i3−2i32i31-1-111-1-1100000000000000000000000000−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000
χ1324-44-4-44-44-2-24222-2-4-2-2-2-24-4-44-22-4222241-2-2-1-11222-21-11-222-2-222-2-22-10000000023−23−232323−23−2323000000001-1-111-1-11000000000000000000−333−3−333−3000000000000000000000000000000000000000000
χ1334-44-4-44-44-2-24222-2-4-2-2-2-24-4-44-22-4222241-2-2-1-11222-21-11-222-2-222-2-22-100000000−232323−23−232323−23000000001-1-111-1-110000000000000000003−3−333−3−33000000000000000000000000000000000000000000
χ1344-4-444-4-444-24-4422-4-442-2-44-44-4-244-2-42-4-24-22-22-442222-2-44-442-22-2-4-2-2000000000000000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-444-4-444-2-2-44222-442-22-22-2-4-2-24-2-422-2-212-222-2-1-122-22-22-2-11-1121-20000000000000000000000001-11-1-11-1100000000−2i32i3002i3−2i300000000000000000000i3−i3i3−i3−i3i3−i3i300000000000000000000000000
χ1364-4-444-4-444-2-2-44222-442-22-22-2-4-2-24-2-422-2-212-222-2-1-122-22-22-2-11-1121-20000000000000000000000001-11-1-11-11000000002i3−2i300−2i32i300000000000000000000−i3i3−i3i3i3−i3i3−i300000000000000000000000000
χ1374-4-444-4-44-24-22-2-4-422-2-442-22-224-2-242-42-21-22-22-112222-2-11-112-22-2-1-2-200004i−4i−4i4i00000000−2i2i−2i2i2i−2i2i−2i1-11-1-11-1100000000000000−2i2i2i−2i00000000i−ii−i−ii−ii0000000000000000000000000000000000
χ1384-4-444-4-44-24-22-2-4-422-2-442-22-224-2-242-42-21-22-22-112222-2-11-112-22-2-1-2-20000−4i4i4i−4i000000002i−2i2i−2i−2i2i−2i2i1-11-1-11-11000000000000002i−2i−2i2i00000000−ii−iii−ii−i0000000000000000000000000000000000
χ1394-4-444-4-44-2-242-222-42-22-2-44-442-24-2-222-41-2-2-11-12-222-1-112-22-22-22-22-2100000000−2i32i3−2i32i32i3−2i32i3−2i3000000001-11-1-11-11000000000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1404-4-444-4-44-2-242-222-42-22-2-44-442-24-2-222-41-2-2-11-12-222-1-112-22-22-22-22-21000000002i3−2i32i3−2i3−2i32i3−2i32i3000000001-11-1-11-11000000000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1414-4-4-4444-444-2-4-4-442-4-4-4-42-2-224-424444-24-2-2-4-44222-2-44-42-2-222-2-22-224000000000000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-4-4444-44-24-4-42-2-4-4-422-444-442-44-24-24-24-222-2-4-42-22-22-444-42-2-2242-2000000000000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-4-4444-44-2-2-4-42-22-4-4222-2-224224-24-2-2-2-2122-222-112-222-2-22-111-1-2-1-20000000000000000000000001-1-11-111-100000000000000000000000000000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000
χ1444-4-4-4444-44-2-2-4-42-22-4-4222-2-224224-24-2-2-2-2122-222-112-222-2-22-111-1-2-1-20000000000000000000000001-1-11-111-10000000000000000000000000000000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000
χ1454-4-4-4444-4-24-222-44222-4-42-2-22-2-42-24-24-2-21-222-2-1-12-22-22-111-12-2-2212-20000000000000000−2i32i32i3−2i32i3−2i3−2i32i31-1-11-111-100000000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000
χ1464-4-4-4444-4-24-222-44222-4-42-2-22-2-42-24-24-2-21-222-2-1-12-22-22-111-12-2-2212-200000000000000002i3−2i3−2i32i3−2i32i32i3−2i31-1-11-111-100000000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000
χ1474-4-4-4444-4-2-24222-2-42222-444-4-22-4-2-2-2-241-2-2-1-11222-2-11-12-2-222-2-22-22100000000−2i32i32i3−2i32i3−2i3−2i32i3000000001-1-11-111-1000000000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1484-4-4-4444-4-2-24222-2-42222-444-4-22-4-2-2-2-241-2-2-1-11222-2-11-12-2-222-2-22-221000000002i3−2i3−2i32i3−2i32i32i3−2i3000000001-1-11-111-1000000000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000
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
χ150888-88-8-8-8-4-4-4-44-44-4-44-44-4-444444-4-44442222-2-22-22-22-2-222-2-222-2-2-2-22000000000000000000000000-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000
χ15188-88-88-8-8-4-4-4-4-4-4-4-444444444-4-4-44444-42222222222-2-2-2-2-2-2-2-2-2-2-222-2000000000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-8-8-888-4-4-4-44-44-44-44-444-4-444444-4-442222-2-22-22-2-222-2-222-2-222-2-2-2000000000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000
χ1538-888-8-88-8-4-4-44-4444-44-44-44-444-4-444-4-44222-22-2-22-2-222-22-22-22-22-2-22-2000000000000000000000000-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-8-88-88-4-4-4444-44-4-4-4-4-444-4-4444444-4222-2-22-2-2-222-222-2-222-2-222-2-2000000000000000000000000-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-888-8-88-4-4-44-44444-44-44-44-44-4-4-4-4444222-22-2-22-2-2-2-22-22-22-22-22-222000000000000000000000000-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-8-8888-8-4-4-4444-4444444-4-44-444-4-4-4-4-4222-2-22-2-2-22-22-2-222-2-222-22-22000000000000000000000000-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000

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