Finite Group Databasebeta

← Group #13156833

Character table — Group #13156833

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222222222222222244444444444444444444444466666666666666666666666688888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666664444444412121212121212121212121212121212366666664412121212121212121212121212121212121212121212121212121212121212121212121212121212444412121212121212124444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
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
χ911-1-11-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-111-1-111-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−ii−i
χ1011-1-11-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1111-1-1-1-111ii−i−i-1-1111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111ii−i−iiiii−i−i−i−i-11−ii-1-111−i−iii−ii
χ1111-1-11-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-111-1-111-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii−ii
χ1211-1-11-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1111-1-1-1-111−i−iii-1-1111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−ii−i
χ1311-1-11-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11-1-1-11111-1-1ii−i−i11-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−i−ii
χ1411-1-11-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-11-1-111-1-111ii−i−i-1-111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iiii−i
χ1511-1-11-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11-1-1-11111-1-1−i−iii11-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−iiiii−i−i−i−i-11−ii-1-111−i−iiii−i
χ1611-1-11-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-11-1-111-1-111−i−iii-1-111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−i−ii
χ172222222222-12222-122222-1-1-1-122-122-122-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-122-1-1-1-122220000-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000
χ182222222222-12222-122222-1-1-1-122-122-122-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-200001111-1-1-1-1-1-1-1-10000000011111111000000000000-2-2001111000000
χ192222222222-12222-122222-1-1-1-122-122-122-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-122111122220000-1-1-1-11111111100000000-1-1-1-1-1-1-1-1000000000000-2-2001111000000
χ202222222222-12222-122222-1-1-1-122-122-122-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-21111-2-2-2-2000011111111111100000000111111110000000000002200-1-1-1-1000000
χ21222222222-1222-1-12222-1-122222-12-1-122-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000000000
χ22222222222-1222-1-12222-1-122222-12-1-122-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10022220000-2-2-2-20000-1-1-1-1-1-1-1-11111111100000000-2-2-2-21111111100000000000000
χ23222222222-1222-1-12222-1-122222-12-1-122-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200002222000011111111-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000000000
χ24222222222-1222-1-12222-1-122222-12-1-122-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100-2-2-2-20000-2-2-2-200001111111111111111000000002222-1-1-1-1-1-1-1-100000000000000
χ2522222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1000022220000000022222222-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-100
χ2622222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1000022220000000022222222-1-1-1-1-1-1-1-1-2-200001111-1-1-1-1-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000000000-2-20000111100
χ2722222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1220000-1-1-1-1111122220000000011111111-1-1-1-1-1-1-1-100000000000000-2-20000111100
χ2822222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2000011111111-2-2-2-200000000111111111111111100000000000000220000-1-1-1-100
χ29222-2-22-2-22222-22-2222-22-222-2-2-2-2-2-22-2-22222-2-22-22-222-222-2-222-2-2-2-2-200000000000000000000000022-2-222-2-20000000000000000000000000000000000000000002-22-222-2-222-2-200000000000000
χ30222-2-22-2-22222-22-2222-22-222-2-2-2-2-2-22-2-22222-2-22-22-222-222-2-222-2-2-2-2-200000000000000000000000022-2-222-2-2000000000000000000000000000000000000000000-22-22-2-222-2-22200000000000000
χ31222-2-22-2-22-122-2-11222-2-1122-2-2-21-21-1-2-2-12-1-1112-2-11-1-1122-2-2-1-111-2110000000033−3−333−3−333−3−333−3−3-1-111-1-11100000000000000000033−3−333−3−333−3−333−3−3000000002-22-2-1-111-1-11100000000000000
χ32222-2-22-2-22-122-2-11222-2-1122-2-2-21-21-1-2-2-12-1-1112-2-11-1-1122-2-2-1-111-2110000000033−3−333−3−3−3−333−3−333-1-111-1-11100000000000000000033−3−333−3−3−3−333−3−33300000000-22-2211-1-111-1-100000000000000
χ33222-2-22-2-22-122-2-11222-2-1122-2-2-21-21-1-2-2-12-1-1112-2-11-1-1122-2-2-1-111-21100000000−3−333−3−33333−3−333−3−3-1-111-1-111000000000000000000−3−333−3−33333−3−333−3−300000000-22-2211-1-111-1-100000000000000
χ34222-2-22-2-22-122-2-11222-2-1122-2-2-21-21-1-2-2-12-1-1112-2-11-1-1122-2-2-1-111-21100000000−3−333−3−333−3−333−3−333-1-111-1-111000000000000000000−3−333−3−333−3−333−3−333000000002-22-2-1-111-1-11100000000000000
χ3522-22-2-2-222222-22-22-2-22-22-2-222-2-2-22-2-222222-2-22-22-2-2-22-2-222-2-222-2-2200000000000000000000000022-2-2-2-2220000000000000000000000000000000000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000
χ3622-22-2-2-222222-22-22-2-22-22-2-222-2-2-22-2-222222-2-22-22-2-2-22-2-222-2-222-2-2200000000000000000000000022-2-2-2-222000000000000000000000000000000000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000
χ3722-22-2-2-222-122-2-112-2-221-1-2-222-21-2-11-22-12-1-1112-2-1111-1-2-22211-1-1-21-10000000033−3−3−3−333−i3−i3i3i3i3i3−i3−i3-1-11111-1-100000000000000000033−3−3−3−333−i3−i3i3i3i3i3−i3−i300000000−2i2i2i−2iii−i−i−i−iii00000000000000
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χ3922-22-2-2-222-122-2-112-2-221-1-2-222-21-2-11-22-12-1-1112-2-1111-1-2-22211-1-1-21-100000000−3−33333−3−3−i3−i3i3i3i3i3−i3−i3-1-11111-1-1000000000000000000−3−33333−3−3−i3−i3i3i3i3i3−i3−i3000000002i−2i−2i2i−i−iiiii−i−i00000000000000
χ4022-22-2-2-222-122-2-112-2-221-1-2-222-21-2-11-22-12-1-1112-2-1111-1-2-22211-1-1-21-100000000−3−33333−3−3i3i3−i3−i3−i3−i3i3i3-1-11111-1-1000000000000000000−3−33333−3−3i3i3−i3−i3−i3−i3i3i300000000−2i2i2i−2iii−i−i−i−iii00000000000000
χ4122-2-22-22-222-12222-1-2-2-2-2-2111122-1-2-2-1-22-1-1222-1-1-1-1-2-2-211111111-1-1-222-2-200002222-2-2-2-200000000-1-1-1-111112-2-1-11122-2-20000-1-111-1-1-1-1111100000000-1-1-1-111110000000000002-200-1-111000000
χ4222-2-22-22-222-12222-1-2-2-2-2-2111122-1-2-2-1-22-1-1222-1-1-1-1-2-2-211111111-1-1-222-2-200002222-2-2-2-200000000-1-1-1-11111-22-1-111-2-222000011-1-1-1-1-1-11111000000001111-1-1-1-1000000000000-220011-1-1000000
χ4322-2-22-22-222-12222-1-2-2-2-2-2111122-1-2-2-1-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-2-2220000-2-2-2-2222200000000-1-1-1-111112-211-1-122-2-20000-1-1111111-1-1-1-100000000-1-1-1-11111000000000000-220011-1-1000000
χ4422-2-22-22-222-12222-1-2-2-2-2-2111122-1-2-2-1-22-1-1222-1-1-1-1-2-2-211111111-1-1-2-2-2220000-2-2-2-2222200000000-1-1-1-11111-2211-1-1-2-222000011-1-11111-1-1-1-1000000001111-1-1-1-10000000000002-200-1-111000000
χ4522-2-22-22-22-1222-1-12-2-2-211-2-2-2-22-12112-2-12-1-1-1-122-1-1111-2-2-2-211112-1122-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii-1-1-1-111110022-2-200002i2i−2i−2i0000-1-1-1-11111−i−i−i−iiiii000000002i2i−2i−2i−i−i−i−iiiii00000000000000
χ4622-2-22-22-22-1222-1-12-2-2-211-2-2-2-22-12112-2-12-1-1-1-122-1-1111-2-2-2-211112-1122-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i-1-1-1-111110022-2-20000−2i−2i2i2i0000-1-1-1-11111iiii−i−i−i−i00000000−2i−2i2i2iiiii−i−i−i−i00000000000000
χ4722-2-22-22-22-1222-1-12-2-2-211-2-2-2-22-12112-2-12-1-1-1-122-1-1111-2-2-2-211112-11-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii-1-1-1-1111100-2-22200002i2i−2i−2i00001111-1-1-1-1−i−i−i−iiiii00000000−2i−2i2i2iiiii−i−i−i−i00000000000000
χ4822-2-22-22-22-1222-1-12-2-2-211-2-2-2-22-12112-2-12-1-1-1-122-1-1111-2-2-2-211112-11-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i-1-1-1-1111100-2-2220000−2i−2i2i2i00001111-1-1-1-1iiii−i−i−i−i000000002i2i−2i−2i−i−i−i−iiiii00000000000000
χ4922-2-22-22-2-122-1-1222111-2-2-2-2-2-2-122-2-221-1-12-1-1-1-1-1221111111-2-2-2-2-12100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-111112-20000-1-111−i−iii22-2-200000000−i−i−i−iiiii-1-1-1-11111000000000000002i−2i0000−i−iii00
χ5022-2-22-22-2-122-1-1222111-2-2-2-2-2-2-122-2-221-1-12-1-1-1-1-1221111111-2-2-2-2-12100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-11111-22000011-1-1−i−iii-2-22200000000−i−i−i−iiiii1111-1-1-1-100000000000000−2i2i0000ii−i−i00
χ5122-2-22-22-2-122-1-1222111-2-2-2-2-2-2-122-2-221-1-12-1-1-1-1-1221111111-2-2-2-2-1210000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-1-1-1-111112-20000-1-111ii−i−i22-2-200000000iiii−i−i−i−i-1-1-1-1111100000000000000−2i2i0000ii−i−i00
χ5222-2-22-22-2-122-1-1222111-2-2-2-2-2-2-122-2-221-1-12-1-1-1-1-1221111111-2-2-2-2-1210000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-1-1-1-11111-22000011-1-1ii−i−i-2-22200000000iiii−i−i−i−i1111-1-1-1-1000000000000002i−2i0000−i−iii00
χ532-2222-2-2-2222-22-2-2-22-22222-22-2-222-2-2-2-2222-22-2-22-2-22-222-22-22-22-2-22-22-22-200002-22-22-22-2000000002-22-22-22-2002-22-20000000000002-22-22-22-2000000000000000000000000000000000000000000
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χ1224-4444-4-4-44-2-2-442224-44-2-2-22-22-4-2-2222-4-2-212-222-2-1-1-22-2-22-221-11-1212-44-4400002-22-22-22-2000000001-11-11-11-1002-22-2000000000000-11-11-11-11000000000000000000000000000000000000000000
χ1234-4444-4-4-4-2442-2-4-4-4-22-2444-44-4244-4-4-42-2-242-222-2-4-4-22-2-22-224-44-4242000000000000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1244-4444-4-4-4-24-22-2-4-42-22-244-22-2224-2-4-422-21-22-22-1122-22-21-11-1-22-22-1-220000000000000000000000001-11-11-11-10000000000000023−2323−230000000000000000−3−333−3−33300000000000000000000000000
χ1254-4444-4-4-4-24-22-2-4-42-22-244-22-2224-2-4-422-21-22-22-1122-22-21-11-1-22-22-1-220000000000000000000000001-11-11-11-100000000000000−2323−2323000000000000000033−3−333−3−300000000000000000000000000
χ1264-4444-4-4-4-2-242-222-4-22-2-2-24-44-42-2422-421-2-2-11-12-2221-11-22-22-22-222-2-1000000000000000023−2323−2323−2323−231-11-11-11-100000000000000000000000000−33−33−33−330000000000000000000000000000000000
χ1274-4444-4-4-4-2-242-222-4-22-2-2-24-44-42-2422-421-2-2-11-12-2221-11-22-22-22-222-2-10000000000000000−2323−2323−2323−23231-11-11-11-1000000000000000000000000003−33−33−33−30000000000000000000000000000000000
χ1284-44-4-4-44444-2-4-4-4424-4-44-4-222-24-424-4-244-2-2-4-44222-24-4-4-222-2-222-2-224000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1294-44-4-4-4444-2-2-4-42-224-4-4-22-222-2422-22-24-2-2122-222-11-222-222-21-1-11-2-1-20000000023−23−232323−23−2323000000001-1-111-1-11000000000000000000−333−3−333−3000000000000000000000000000000000000000000
χ1304-44-4-4-4444-2-2-4-42-224-4-4-22-222-2422-22-24-2-2122-222-11-222-222-21-1-11-2-1-200000000−232323−23−232323−23000000001-1-111-1-110000000000000000003−3−333−3−33000000000000000000000000000000000000000000
χ1314-44-4-4-444-24-222-442-2224-4-222-2-2-424-4-2-2-21-222-2-1-12-2-2221-1-11-222-212-20000000000000000000000001-1-111-1-11000000−2i32i3−2i32i3000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ1324-44-4-4-444-24-222-442-2224-4-222-2-2-424-4-2-2-21-222-2-1-12-2-2221-1-11-222-212-20000000000000000000000001-1-111-1-110000002i3−2i32i3−2i3000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ1334-44-4-4-444-2-24222-2-4-222-224-4-44-22-4-224-21-2-2-1-11222-21-1-1-222-2-222-2-22100004-44-400000000-222-2-222-21-1-111-1-110000000000-22-220000000000001-1-111-1-110000000000000000000000000000000000
χ1344-44-4-4-444-2-24222-2-4-222-224-4-44-22-4-224-21-2-2-1-11222-21-1-1-222-2-222-2-2210000-44-44000000002-2-222-2-221-1-111-1-1100000000002-22-2000000000000-111-1-111-10000000000000000000000000000000000
χ1354-4-44-444-444-2-4-4-442-444-442-2-224-42-44-2-44-2-2-4-44222-2-4442-2-222-2-22-22-4000000000000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-444-44-2-2-4-42-22-4442-22-2-224222-2-2-4-2-2122-222-112-2-22-2-22-111-1-2-120000000023−23−2323−232323−23000000001-1-11-111-1000000000000000000−333−33−3−33000000000000000000000000000000000000000000
χ1374-4-44-444-44-2-2-4-42-22-4442-22-2-224222-2-2-4-2-2122-222-112-2-22-2-22-111-1-2-1200000000−232323−2323−23−2323000000001-1-11-111-10000000000000000003−3−33−333−3000000000000000000000000000000000000000000
χ1384-4-44-444-4-24-222-4422-2-2-442-2-22-2-42-44-22-21-222-2-1-12-22-2-2-111-12-2-221220000000000000000000000001-1-11-111-1000000−2i32i32i3−2i3000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000000000000000000000
χ1394-4-44-444-4-24-222-4422-2-2-442-2-22-2-42-44-22-21-222-2-1-12-22-2-2-111-12-2-221220000000000000000000000001-1-11-111-10000002i3−2i3−2i32i3000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000000000000000000000
χ1404-4-44-444-4-2-24222-2-42-2-22-2-444-4-22-42-2421-2-2-1-11222-2-1112-2-222-2-22-22-100004i−4i−4i4i00000000−2i2i2i−2i2i−2i−2i2i1-1-11-111-10000000000−2i2i2i−2i000000000000i−i−ii−iii−i0000000000000000000000000000000000
χ1414-4-44-444-4-2-24222-2-42-2-22-2-444-4-22-42-2421-2-2-1-11222-2-1112-2-222-2-22-22-10000−4i4i4i−4i000000002i−2i−2i2i−2i2i2i−2i1-1-11-111-100000000002i−2i−2i2i000000000000−iii−ii−i−ii0000000000000000000000000000000000
χ1424-4-4-444-444-2-2-44222-44-4222-22-2-4-2-2-2-224-2-212-222-2-1-12-222-22-2-11-1121-24-4-440000-22-222-22-2000000001-11-1-11-1100-222-20000000000001-11-1-11-11000000000000000000000000000000000000000000
χ1434-4-4-444-444-2-2-44222-44-4222-22-2-4-2-2-2-224-2-212-222-2-1-12-222-22-2-11-1121-2-444-400002-22-2-22-22000000001-11-1-11-11002-2-22000000000000-11-111-11-1000000000000000000000000000000000000000000
χ1444-4-4-444-44-2442-2-4-4-42-22-4-4-44-4424444-4-2-2-242-222-2-4-42-222-22-2-44-4424-2000000000000000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1454-4-4-444-44-24-22-2-4-422-22-4-42-22-224-2442-2-21-22-22-11222-22-11-112-22-2-1-2-20000000000000000000000001-11-1-11-110000000000000023−23−23230000000000000000−3−33333−3−300000000000000000000000000
χ1464-4-4-444-44-24-22-2-4-422-22-4-42-22-224-2442-2-21-22-22-11222-22-11-112-22-2-1-2-20000000000000000000000001-11-1-11-1100000000000000−232323−23000000000000000033−3−3−3−33300000000000000000000000000
χ1474-4-4-444-44-2-242-222-42-2222-44-442-24-2-2-4-21-2-2-11-12-222-11-12-22-22-22-22-210000000000000000−2i32i3−2i32i32i3−2i32i3−2i31-11-1-11-1100000000000000000000000000i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ1484-4-4-444-44-2-242-222-42-2222-44-442-24-2-2-4-21-2-2-11-12-222-11-12-22-22-22-22-2100000000000000002i3−2i32i3−2i3−2i32i3−2i32i31-11-1-11-1100000000000000000000000000−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
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
χ150888-8-88-8-8-4-4-4-44-44-4-4-44-44-4-4444444-4442222-2-22-22-222-222-2-222-2-2-2-2-2000000000000000000000000-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000
χ15188-88-8-8-88-4-4-4-44-44-444-44-444-4-4444-444-42222-2-22-22-2-2-22-2-222-2-222-2-22000000000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-88-88-8-4-4-4-4-4-4-4-4444444444-4-4-444-442222222222-2-2-2-2-2-2-2-2-2-2-222-2000000000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000
χ1538-8888-8-8-8-4-4-44-4444-44-4-4-4-44-444-4-44444222-22-2-22-2-22-222-22-22-22-2-22-2000000000000000000000000-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-8-8-888-4-4-4444-44-444-44-444-4-444-44-4-4222-2-22-2-2-222-2-22-2-222-2-222-22000000000000000000000000-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-88-888-8-4-4-4444-444-4-44-44-4-44-4444-4-44222-2-22-2-2-22-222-222-2-222-22-2-2000000000000000000000000-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-8-888-88-4-4-44-44444-44444-44-44-4-4-4-44-4222-22-2-22-2-2-22-2-22-22-22-22-222000000000000000000000000-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000

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