Finite Group Databasebeta

← Group #13156735

Character table — Group #13156735

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444488888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666663666666644444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444412121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ91-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−ii−iii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-111-1-111-1-1i−i
χ101-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−i−iiii−i−iii−i−i−i−i−i−iiiiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-11111-1-1-1-111-1-111−ii
χ111-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1i−i−iii−iii−i−i−i−iiiiiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111-1-11111-1-1-1-111−ii
χ121-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1i−i−ii−iiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-1-1-111-1-11111-1-1i−i
χ131-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−iii−ii−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-1-1-111-1-11111-1-1−ii
χ141-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−iii−i−ii−i−iiiii−i−i−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111-1-11111-1-1-1-111i−i
χ151-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−ii−iii−i−i−iii−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-11111-1-1-1-111-1-111i−i
χ161-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii−ii−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-111-1-111-1-1−ii
χ172222222222-12222-1-122222-1-122-1-1222-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-122-1-122-1-10000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-100
χ182222222222-12222-1-122222-1-122-1-1222-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10022-2-20000-1-1-1-1-2-211-2-2110000222200000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-200000000111100
χ192222222222-12222-1-122222-1-122-1-1222-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-2220000111122-1-122-1-10000-2-2-2-20000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-200000000111100
χ202222222222-12222-1-122222-1-122-1-1222-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-2-2-200001111-2-211-2-2110000-2-2-2-200000000111111111111111100000000222200000000-1-1-1-100
χ21222222222-1222-1-122222-1-122-1-12222-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1220022-1-1-1-10000-1-122-1-12222220000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000222200000000-1-1-1-1000000
χ22222222222-1222-1-122222-1-122-1-12222-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-12200-2-2-1-1-1-1000011-2-211-2-222220000-1-1-1-1-1-1-1-100000000111111110000-2-2-2-2000000001111000000
χ23222222222-1222-1-122222-1-122-1-12222-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-2002211110000-1-122-1-122-2-2-2-200001111111100000000-1-1-1-1-1-1-1-10000-2-2-2-2000000001111000000
χ24222222222-1222-1-122222-1-122-1-12222-12-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-200-2-21111000011-2-211-2-2-2-2-2-200001111111100000000111111110000222200000000-1-1-1-1000000
χ2522222222-122-1-12222-1-1-122222222-1-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-12222002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-10000000000
χ2622222222-122-1-12222-1-1-122222222-1-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-122-2-2002222-2-2-2-200000000-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000-2-2-2-20000000011110000000000
χ2722222222-122-1-12222-1-1-122222222-1-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-2-22200-2-2-2-22222000000001111-1-1-1-111111111-1-1-1-1-1-1-1-100000000-2-2-2-20000000011110000000000
χ2822222222-122-1-12222-1-1-122222222-1-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2-2-2-2-20000000011111111111111111111111100000000222200000000-1-1-1-10000000000
χ29222-22-2-2-2222-2-22-22-222-22222-2-2-2-2-22-2-22222-2-22-2-22-2-222-222-222-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000000000002-22-2000000002-22-20000000000
χ30222-22-2-2-2222-2-22-22-222-22222-2-2-2-2-22-2-22222-2-22-2-22-2-222-222-222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000-22-2200000000-22-220000000000
χ31222-22-2-2-2-122112-22-2-1-112222-2-2-2-21-1-2-2-1-12-111-1112-2-2-1-11-1-1122-211-2-1-111-1-11100000000000000000000003−33−33−33−333−3−333−3−333−3−333−3−3000000002-22-200000000-11-110000000000
χ32222-22-2-2-2-122112-22-2-1-112222-2-2-2-21-1-2-2-1-12-111-1112-2-2-1-11-1-1122-211-2-1-111-1-11100000000000000000000003−33−3−33−3333−3−333−3−3−3−333−3−33300000000-22-22000000001-11-10000000000
χ33222-22-2-2-2-122112-22-2-1-112222-2-2-2-21-1-2-2-1-12-111-1112-2-2-1-11-1-1122-211-2-1-111-1-1110000000000000000000000−33−333−33−3−3−333−3−33333−3−333−3−300000000-22-22000000001-11-10000000000
χ34222-22-2-2-2-122112-22-2-1-112222-2-2-2-21-1-2-2-1-12-111-1112-2-2-1-11-1-1122-211-2-1-111-1-1110000000000000000000000−33−33−33−33−3−333−3−333−3−333−3−333000000002-22-200000000-11-110000000000
χ3522-22-22-2-22222-2-22-2-22-2-22-22-22-22-22-2-22222-22-2-22-2-22-22-2-22-2-22-2222-22-22-22-22-200000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i000000
χ3622-22-22-2-22222-2-22-2-22-2-22-22-22-22-22-2-22222-22-2-22-2-22-22-2-22-2-22-2222-22-22-22-22-20000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i000000
χ3722-22-22-2-22-122-21-1-2-22-2-2-112-2-112-22-212-12-11-11-22-21-11-1112-2-2-11-1-121-11-11-11-11000000−i3i3−i3i300003−3003−30000000000−i3i3−i3i3−i3i3−i3i30000000033−3−333−3−300002i−2i2i−2i00000000−ii−ii000000
χ3822-22-22-2-22-122-21-1-2-22-2-2-112-2-112-22-212-12-11-11-22-21-11-1112-2-2-11-1-121-11-11-11-11000000−i3i3−i3i30000−3300−330000000000−i3i3−i3i3−i3i3−i3i300000000−3−333−3−3330000−2i2i−2i2i00000000i−ii−i000000
χ3922-22-22-2-22-122-21-1-2-22-2-2-112-2-112-22-212-12-11-11-22-21-11-1112-2-2-11-1-121-11-11-11-11000000i3−i3i3−i300003−3003−30000000000i3−i3i3−i3i3−i3i3−i30000000033−3−333−3−30000−2i2i−2i2i00000000i−ii−i000000
χ4022-22-22-2-22-122-21-1-2-22-2-2-112-2-112-22-212-12-11-11-22-21-11-1112-2-2-11-1-121-11-11-11-11000000i3−i3i3−i30000−3300−330000000000i3−i3i3−i3i3−i3i3−i300000000−3−333−3−33300002i−2i2i−2i00000000−ii−ii000000
χ4122-2-2-2-222222-22-2-2-222-222-22-2-22-22-2-22-2222-2-22-2-22-2-222-222-222-2-2-2-222-2-222-2-22000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i00
χ4222-2-2-2-222222-22-2-2-222-222-22-2-22-22-2-22-2222-2-22-2-22-2-222-222-222-2-2-2-222-2-222-2-2200000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00
χ4322-2-2-2-22222-1-22-2-21-12-222-2-11-221-1-2-2212-1-1-2-2211-111-12-22-11-1-111-21-1-111-1-111-100000000003−33−300−i3i300−i3i300000000000000003−33−33−33−3−i3i3−i3i3−i3i3−i3i3000000002i−2i2i−2i00000000−ii−ii00
χ4422-2-2-2-22222-1-22-2-21-12-222-2-11-221-1-2-2212-1-1-2-2211-111-12-22-11-1-111-21-1-111-1-111-100000000003−33−300i3−i300i3−i300000000000000003−33−33−33−3i3−i3i3−i3i3−i3i3−i300000000−2i2i−2i2i00000000i−ii−i00
χ4522-2-2-2-22222-1-22-2-21-12-222-2-11-221-1-2-2212-1-1-2-2211-111-12-22-11-1-111-21-1-111-1-111-10000000000−33−3300−i3i300−i3i30000000000000000−33−33−33−33−i3i3−i3i3−i3i3−i3i300000000−2i2i−2i2i00000000i−ii−i00
χ4622-2-2-2-22222-1-22-2-21-12-222-2-11-221-1-2-2212-1-1-2-2211-111-12-22-11-1-111-21-1-111-1-111-10000000000−33−3300i3−i300i3−i30000000000000000−33−33−33−33i3−i3i3−i3i3−i3i3−i3000000002i−2i2i−2i00000000−ii−ii00
χ472-222-2-22-2222-22-2-2-22-22-2-22-222-22-22-22-2222-2-22-2-22-2-22-22-2-22-2-22222-22-2-22-222-2000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i00
χ482-222-2-22-2222-22-2-2-22-22-2-22-222-22-22-22-2222-2-22-2-22-2-22-22-2-22-2-22222-22-2-22-222-200000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00
χ492-222-2-22-222-1-22-2-21-1-22-2-221-12-2-112-2212-1-1-2-2211-111-1-22-21-111-1-12-11-111-11-1-110000000000−i3i3i3−i3003−300−330000000000000000−i3i3−i3i3i3−i3i3−i33−33−3−33−3300000000−2i2i2i−2i00000000i−i−ii00
χ502-222-2-22-222-1-22-2-21-1-22-2-221-12-2-112-2212-1-1-2-2211-111-1-22-21-111-1-12-11-111-11-1-110000000000−i3i3i3−i300−33003−30000000000000000−i3i3−i3i3i3−i3i3−i3−33−333−33−3000000002i−2i−2i2i00000000−iii−i00
χ512-222-2-22-222-1-22-2-21-1-22-2-221-12-2-112-2212-1-1-2-2211-111-1-22-21-111-1-12-11-111-11-1-110000000000i3−i3−i3i3003−300−330000000000000000i3−i3i3−i3−i3i3−i3i33−33−3−33−33000000002i−2i−2i2i00000000−iii−i00
χ522-222-2-22-222-1-22-2-21-1-22-2-221-12-2-112-2212-1-1-2-2211-111-1-22-21-111-1-12-11-111-11-1-110000000000i3−i3−i3i300−33003−30000000000000000i3−i3i3−i3−i3i3−i3i3−33−333−33−300000000−2i2i2i−2i00000000i−i−ii00
χ532-22-2-22-222222-2-22-2-2-222-22-22-22-22-2-2-22222-22-2-22-2-22-2-222-222-22-2-2-222-22-2-22-2200000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i000000
χ542-22-2-22-222222-2-22-2-2-222-22-22-22-22-2-2-22222-22-2-22-2-22-2-222-222-22-2-2-222-22-2-22-220000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000
χ552-22-2-22-222-122-21-1-2-2-2221-1-221-1-22-2-212-12-11-11-22-21-111-1-1-2221-111-2-1-11-111-11-10000003−3−330000−i3i300i3−i300000000003−33−3−33−3300000000−i3−i3i3i3i3i3−i3−i30000−2i2i2i−2i00000000i−i−ii000000
χ562-22-2-22-222-122-21-1-2-2-2221-1-221-1-22-2-212-12-11-11-22-21-111-1-1-2221-111-2-1-11-111-11-10000003−3−330000i3−i300−i3i300000000003−33−3−33−3300000000i3i3−i3−i3−i3−i3i3i300002i−2i−2i2i00000000−iii−i000000
χ572-22-2-22-222-122-21-1-2-2-2221-1-221-1-22-2-212-12-11-11-22-21-111-1-1-2221-111-2-1-11-111-11-1000000−333−30000−i3i300i3−i30000000000−33−333−33−300000000−i3−i3i3i3i3i3−i3−i300002i−2i−2i2i00000000−iii−i000000
χ582-22-2-22-222-122-21-1-2-2-2221-1-221-1-22-2-212-12-11-11-22-21-111-1-1-2221-111-2-1-11-111-11-1000000−333−30000i3−i300−i3i30000000000−33−333−33−300000000i3i3−i3−i3−i3−i3i3i30000−2i2i2i−2i00000000i−i−ii000000
χ592-2-222-2-22222-2-22-22-2-2-22-2-2-2-2222222-2-22222-2-22-2-22-2-2-2-22-2-22-2-2222222-2-2-2-2220000000000000000000000000000000000000000000000000000002-2-22000000002-2-220000000000
χ602-2-222-2-22222-2-22-22-2-2-22-2-2-2-2222222-2-22222-2-22-2-22-2-2-2-22-2-22-2-2222222-2-2-2-222000000000000000000000000000000000000000000000000000000-222-200000000-222-20000000000
χ612-2-222-2-22-122112-22-211-1-2-2-2-22222-1-1-2-2-1-12-111-1112-2-211-111-1-2-22-1-12-1-11111-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000002-2-2200000000-111-10000000000
χ622-2-222-2-22-122112-22-211-1-2-2-2-22222-1-1-2-2-1-12-111-1112-2-211-111-1-2-22-1-12-1-11111-1-10000000000000000000000−i3i3i3−i3i3−i3−i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000-222-2000000001-1-110000000000
χ632-2-222-2-22-122112-22-211-1-2-2-2-22222-1-1-2-2-1-12-111-1112-2-211-111-1-2-22-1-12-1-11111-1-10000000000000000000000i3−i3−i3i3−i3i3i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000-222-2000000001-1-110000000000
χ642-2-222-2-22-122112-22-211-1-2-2-2-22222-1-1-2-2-1-12-111-1112-2-211-111-1-2-22-1-12-1-11111-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000002-2-2200000000-111-10000000000
χ652-2-2-2222-222-12222-1-1-2-2-2-2-211-2-211-222-12-1-1222-1-1-1-1-1-1-2-2-2111111-211-1-1-1-11111002i−2i2i−2i0000−i−iii2i2i−i−i−2i−2iii00002i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii0000000022-2-200000000-1-11100
χ662-2-2-2222-222-12222-1-1-2-2-2-2-211-2-211-222-12-1-1222-1-1-1-1-1-1-2-2-2111111-211-1-1-1-11111002i−2i−2i2i0000−i−iii−2i−2iii2i2i−i−i00002i2i−2i−2i00000000−i−i−i−iiiiiiiii−i−i−i−i00000000-2-2220000000011-1-100
χ672-2-2-2222-222-12222-1-1-2-2-2-2-211-2-211-222-12-1-1222-1-1-1-1-1-1-2-2-2111111-211-1-1-1-1111100−2i2i2i−2i0000ii−i−i2i2i−i−i−2i−2iii0000−2i−2i2i2i00000000iiii−i−i−i−i−i−i−i−iiiii00000000-2-2220000000011-1-100
χ682-2-2-2222-222-12222-1-1-2-2-2-2-211-2-211-222-12-1-1222-1-1-1-1-1-1-2-2-2111111-211-1-1-1-1111100−2i2i−2i2i0000ii−i−i−2i−2iii2i2i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i0000000022-2-200000000-1-11100
χ692-2-2-2222-22-1222-1-122-2-2-211-2-211-2-2-22-12-12-1-1-1-1222-1-1-1111-2-2-21111-21-1-1-1-111112i−2i002i−2i−i−iii0000−i−i2i2iii−2i−2i2i2i−2i−2i0000−i−i−i−iiiii00000000−i−i−i−iiiii000022-2-200000000-1-111000000
χ702-2-2-2222-22-1222-1-122-2-2-211-2-211-2-2-22-12-12-1-1-1-1222-1-1-1111-2-2-21111-21-1-1-1-111112i−2i00−2i2i−i−iii0000ii−2i−2i−i−i2i2i2i2i−2i−2i0000−i−i−i−iiiii00000000iiii−i−i−i−i0000-2-2220000000011-1-1000000
χ712-2-2-2222-22-1222-1-122-2-2-211-2-211-2-2-22-12-12-1-1-1-1222-1-1-1111-2-2-21111-21-1-1-1-11111−2i2i002i−2iii−i−i0000−i−i2i2iii−2i−2i−2i−2i2i2i0000iiii−i−i−i−i00000000−i−i−i−iiiii0000-2-2220000000011-1-1000000
χ722-2-2-2222-22-1222-1-122-2-2-211-2-211-2-2-22-12-12-1-1-1-1222-1-1-1111-2-2-21111-21-1-1-1-11111−2i2i00−2i2iii−i−i0000ii−2i−2i−i−i2i2i−2i−2i2i2i0000iiii−i−i−i−i00000000iiii−i−i−i−i000022-2-200000000-1-111000000
χ732-2-2-2222-2-122-1-12222111-2-2-2-2-2-2-2-21-122-1-12-1-1-1-1-1-1222111111-2-2-211-2-1-1-1-111112i−2i2i−2i002i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii0000000022-2-200000000-1-1110000000000
χ742-2-2-2222-2-122-1-12222111-2-2-2-2-2-2-2-21-122-1-12-1-1-1-1-1-1222111111-2-2-211-2-1-1-1-111112i−2i−2i2i002i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i00000000-2-2220000000011-1-10000000000
χ752-2-2-2222-2-122-1-12222111-2-2-2-2-2-2-2-21-122-1-12-1-1-1-1-1-1222111111-2-2-211-2-1-1-1-11111−2i2i2i−2i00−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii00000000-2-2220000000011-1-10000000000
χ762-2-2-2222-2-122-1-12222111-2-2-2-2-2-2-2-21-122-1-12-1-1-1-1-1-1222111111-2-2-211-2-1-1-1-11111−2i2i−2i2i00−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i0000000022-2-200000000-1-1110000000000
χ77444444444-2-244-2-2-2-2444-2-2-2-2-2-2-2-244-2-2-2-21-2-2-2-2-2-2111-2-2-2-2-2-2111-2-211111111100004400000000-2-2-2-2-2-2-2-20000000000000000000000001111111100000000000000000000000000
χ78444444444-2-244-2-2-2-2444-2-2-2-2-2-2-2-244-2-2-2-21-2-2-2-2-2-2111-2-2-2-2-2-2111-2-21111111110000-4-40000000022222222000000000000000000000000-1-1-1-1-1-1-1-100000000000000000000000000
χ7944444444-24-2-2-244-2-2-2-2-244-2-244-2-2-2-24-2-21-2-2-2-2111-2-2-2-2-2-2111-2-2-2-21-2111111110044000000-2-2-2-2000000000000-2-2-2-200000000111111110000000000000000000000000000000000
χ8044444444-24-2-2-244-2-2-2-2-244-2-244-2-2-2-24-2-21-2-2-2-2111-2-2-2-2-2-2111-2-2-2-21-21111111100-4-40000002222000000000000222200000000-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ8144444444-2-24-2-2-2-244-2-2-2-2-244-2-244-2-2-241-2-2111-2-2-2-2-2-2111-2-2-2-2-2-21-2-211111111440000-2-2-2-2000000000000-2-2-2-2000011111111000000000000000000000000000000000000000000
χ8244444444-2-24-2-2-2-244-2-2-2-2-244-2-244-2-2-241-2-2111-2-2-2-2-2-2111-2-2-2-2-2-21-2-211111111-4-40000222200000000000022220000-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ83444-44-4-4-444-2-4-44-4-2244-444-2-2-4-422-44-424-2-24-4-4-222-22244-4-2-22-2-22-422-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ84444-44-4-4-44-24-4-4-224-444-4-2-24422-4-4-442-4-24-2-2224-4-4-222-2-2244-4-2-222-42-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ85444-44-4-4-44-2-2-4-4-22-2244-4-2-2-2-22222-4422-2-21-222-2221-1-1-2-22-2-2211-122-111-1-111-1-100000000000000000000000000000000000000000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000
χ86444-44-4-4-44-2-2-4-4-22-2244-4-2-2-2-22222-4422-2-21-222-2221-1-1-2-22-2-2211-122-111-1-111-1-10000000000000000000000000000000000000000000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000
χ87444-44-4-4-4-24-2224-4-22-2-2244-2-2-4-4222-2-42-21-2-2221-1-1-222-2-2211-1-2-222-1211-1-111-1-10000000000000000000000000023−2323−2300000000−3−333−3−3330000000000000000000000000000000000
χ88444-44-4-4-4-24-2224-4-22-2-2244-2-2-4-4222-2-42-21-2-2221-1-1-222-2-2211-1-2-222-1211-1-111-1-100000000000000000000000000−2323−23230000000033−3−333−3−30000000000000000000000000000000000
χ89444-44-4-4-4-2-2422-224-4-2-22-2-24422-4-42-22-41-2-21-1-1-222-22211-1-2-22-2-22-12211-1-111-1-1000000000000000000000023−2323−230000−3−333−3−333000000000000000000000000000000000000000000
χ90444-44-4-4-4-2-2422-224-4-2-22-2-24422-4-42-22-41-2-21-1-1-222-22211-1-2-22-2-22-12211-1-111-1-10000000000000000000000−2323−2323000033−3−333−3−3000000000000000000000000000000000000000000
χ9144-44-44-4-444-24-4-44224-4-44-4-224-4-224-4-4-24-2-2-44-42-222-224-4-4-222-22-24-22-22-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-44-44-4-44-2-24-42-2224-4-4-22-22-22-224-42-2-2-212-222-22-11-1-222-2221-11-2-2-11-11-11-11-10000000000000023−230023−2300000000000000000000000000−3−333−3−33300000000000000000000000000
χ9344-44-44-4-44-2-24-42-2224-4-4-22-22-22-224-42-2-2-212-222-22-11-1-222-2221-11-2-2-11-11-11-11-100000000000000−232300−23230000000000000000000000000033−3−333−3−300000000000000000000000000
χ9444-44-44-4-4-244-22-44-4-4-2224-44-44-44-4-22-44-2-242-222-22-44-4-222-2224-44-2-2-4-22-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-44-44-4-4-24-2-22-4422-2224-4-224-4-22-22-4-2-21-22-22-11-12-22-2221-1-1-22-2-2121-11-11-11-1000000000000000000000000000000000000003-3-333-3-330000000000000000000000000000000000
χ9644-44-44-4-4-24-2-22-4422-2224-4-224-4-22-22-4-2-21-22-22-11-12-22-2221-1-1-22-2-2121-11-11-11-100000000000000000000000000000000000000-333-3-333-30000000000000000000000000000000000
χ9744-44-44-4-4-2-24-222-2-4-4-222-224-4-224-4-22241-2-2-11-12-222-221-1-1-222-22-21-221-11-11-11-1000000−2i32i3−2i32i300000000000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ9844-44-44-4-4-2-24-222-2-4-4-222-224-4-224-4-22241-2-2-11-12-222-221-1-1-222-22-21-221-11-11-11-10000002i3−2i32i3−2i300000000000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ9944-4-4-4-4444-24-4422-444-44-224-42-2-44-4-4-2-4-24-222-2-4-4422-2-22-24-44-2222-4-2-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10044-4-4-4-4444-2-2-44222-24-44-22-222-22-2-4-4-22-2-2122-222-2-1-11-22-2-22-21-1-12211-1-111-1-110000000000000000−2i32i300−2i32i3000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ10144-4-4-4-4444-2-2-44222-24-44-22-222-22-2-4-4-22-2-2122-222-2-1-11-22-2-22-21-1-12211-1-111-1-1100000000000000002i3−2i3002i3−2i3000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ10244-4-4-4-444-2442-2-4-4-44-22-24-44-4-44-44224-4-2-2422-222-2-4-44-22-2-22-24-4-4224-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10344-4-4-4-444-24-22-2-4-42-2-22-24-4-22-442-22242-21-222-2-1-1122-2-22-21-11-2222-1-21-1-111-1-11000000000023−2323−23000000000000000000000000−33−33−33−330000000000000000000000000000000000
χ10444-4-4-4-444-24-22-2-4-42-2-22-24-4-22-442-22242-21-222-2-1-1122-2-22-21-11-2222-1-21-1-111-1-110000000000−2323−23230000000000000000000000003−33−33−33−30000000000000000000000000000000000
χ10544-4-4-4-444-2-242-222-44-22-2-224-42-2-4422-2-41-2-2-1-1122-222-21-11-22-2-222-12-21-1-111-1-110000000000000000000000000000003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000
χ10644-4-4-4-444-2-242-222-44-22-2-224-42-2-4422-2-41-2-2-1-1122-222-21-11-22-2-222-12-21-1-111-1-11000000000000000000000000000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1074-444-4-44-44-24-4422-44-44-42-2-44-224-44-4-2-4-24-222-2-4-4422-22-22-44-42-2-2-242-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-444-4-44-44-2-2-44222-2-44-42-22-2-22-224-4-22-2-2122-222-2-1-112-222-22-111-2-2-11-1-11-111-1000000000000000023−2300−2323000000000000000000000000−33−333−33−300000000000000000000000000
χ1094-444-4-44-44-2-2-44222-2-44-42-22-2-22-224-4-22-2-2122-222-2-1-112-222-22-111-2-2-11-1-11-111-10000000000000000−23230023−230000000000000000000000003−33−3−33−3300000000000000000000000000
χ1104-444-4-44-4-2442-2-4-4-442-22-44-444-44-4-224-4-2-2422-222-2-4-442-222-22-444-2-2-4-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-444-4-44-4-24-22-2-4-42-22-22-442-24-4-22-2242-21-222-2-1-1122-22-22-11-12-2-2-2121-1-11-111-10000000000−2i32i32i3−2i3000000000000000000000000i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ1124-444-4-44-4-24-22-2-4-42-22-22-442-24-4-22-2242-21-222-2-1-1122-22-22-11-12-2-2-2121-1-11-111-100000000002i3−2i3−2i32i3000000000000000000000000−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ1134-444-4-44-4-2-242-222-442-222-2-44-224-4-22-2-41-2-2-1-1122-222-2-11-12-222-2-21-221-1-11-111-10000000000000000000000000000003-3-33-333-3000000000000000000000000000000000000000000
χ1144-444-4-44-4-2-242-222-442-222-2-44-224-4-22-2-41-2-2-1-1122-222-2-11-12-222-2-21-221-1-11-111-1000000000000000000000000000000-333-33-3-33000000000000000000000000000000000000000000
χ1154-44-4-44-4444-24-4-4422-444-442-2-442-2-4-4-4-24-2-2-44-42-222-22-4442-2-22-22-42-2-22-222-22-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-4-44-444-2-24-42-222-4442-22-22-22-2-4-42-2-2-212-222-22-11-12-2-22-2-2-11-12211-11-1-11-1100000000000000−2i32i3002i3−2i300000000000000000000000000i3i3−i3−i3−i3−i3i3i300000000000000000000000000
χ1174-44-4-44-444-2-24-42-222-4442-22-22-22-2-4-42-2-2-212-222-22-11-12-2-22-2-2-11-12211-11-1-11-11000000000000002i3−2i300−2i32i300000000000000000000000000−i3−i3i3i3i3i3−i3−i300000000000000000000000000
χ1184-44-4-44-44-244-22-44-4-42-2-2-44-44-44-4422-44-2-242-222-22-44-42-2-22-2-2-44-4224-22-222-22-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-44-4-44-44-24-2-22-44222-2-2-442-2-442-222-4-2-21-22-22-11-12-222-2-2-1112-222-1-21-11-1-11-11000000000000000000000000000000000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ1204-44-4-44-44-24-2-22-44222-2-2-442-2-442-222-4-2-21-22-22-11-12-222-2-2-1112-222-1-21-11-1-11-1100000000000000000000000000000000000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ1214-44-4-44-44-2-24-222-2-4-42-2-22-2-442-2-4422241-2-2-11-12-222-22-1112-2-22-22-12-21-11-1-11-1100000023−23−232300000000000000000000−33−333−33−3000000000000000000000000000000000000000000
χ1224-44-4-44-44-2-24-222-2-4-42-2-22-2-442-2-4422241-2-2-11-12-222-22-1112-2-22-22-12-21-11-1-11-11000000−232323−23000000000000000000003−33−3−33−33000000000000000000000000000000000000000000
χ1234-4-444-4-4444-2-4-44-4-22-4-44-4-42244-2-244-424-2-24-4-4-222-222-4-4422-222-24-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1244-4-444-4-444-24-4-4-224-4-4-4422-4-4-2-244442-4-24-2-2224-4-4-22222-2-4-4422-2-24-2-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-444-4-444-2-2-4-4-22-22-4-442222-2-2-2-24422-2-21-222-2221-1-122-222-2-1-11-2-2111-1-1-1-11100000000000000000000000000000000000000000000003-3-33-333-300000000000000000000000000
χ1264-4-444-4-444-2-2-4-4-22-22-4-442222-2-2-2-24422-2-21-222-2221-1-122-222-2-1-11-2-2111-1-1-1-1110000000000000000000000000000000000000000000000-333-33-3-3300000000000000000000000000
χ1274-4-444-4-44-24-2224-4-2222-2-4-42244-2-2-2-2-42-21-2-2221-1-1-22222-2-1-1122-2-21-211-1-1-1-11100000000000000000000000000−2i32i32i3−2i300000000i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ1284-4-444-4-44-24-2224-4-2222-2-4-42244-2-2-2-2-42-21-2-2221-1-1-22222-2-1-1122-2-21-211-1-1-1-111000000000000000000000000002i3−2i3−2i32i300000000−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ1294-4-444-4-44-2-2422-224-422-222-4-4-2-244-2-22-41-2-21-1-1-222-222-1-1122-222-21-2-211-1-1-1-1110000000000000000000000−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ1304-4-444-4-44-2-2422-224-422-222-4-4-2-244-2-22-41-2-21-1-1-222-222-1-1122-222-21-2-211-1-1-1-11100000000000000000000002i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1314-4-4-4444-44-2-244-2-2-2-2-4-4-422222222-44-2-2-2-21-2-2-2-2-2-2111222222-1-1-122-11111-1-1-1-100004i−4i00000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000iiii−i−i−i−i00000000000000000000000000
χ1324-4-4-4444-44-2-244-2-2-2-2-4-4-422222222-44-2-2-2-21-2-2-2-2-2-2111222222-1-1-122-11111-1-1-1-10000−4i4i000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000−i−i−i−iiiii00000000000000000000000000
χ1334-4-4-4444-4-24-2-2-244-2-2222-4-422-4-4222-24-2-21-2-2-2-2111-2-2-2222-1-1-12222-121111-1-1-1-1004i−4i000000−2i−2i2i2i000000000000−2i−2i2i2i00000000iiii−i−i−i−i0000000000000000000000000000000000
χ1344-4-4-4444-4-24-2-2-244-2-2222-4-422-4-4222-24-2-21-2-2-2-2111-2-2-2222-1-1-12222-121111-1-1-1-100−4i4i0000002i2i−2i−2i0000000000002i2i−2i−2i00000000−i−i−i−iiiii0000000000000000000000000000000000
χ1354-4-4-4444-4-2-24-2-2-2-24422222-4-422-4-42-2-241-2-2111-2-2-2-2-2-2-1-1-1222222-1221111-1-1-1-14i−4i0000−2i−2i2i2i000000000000−2i−2i2i2i0000iiii−i−i−i−i000000000000000000000000000000000000000000
χ1364-4-4-4444-4-2-24-2-2-2-24422222-4-422-4-42-2-241-2-2111-2-2-2-2-2-2-1-1-1222222-1221111-1-1-1-1−4i4i00002i2i−2i−2i0000000000002i2i−2i−2i0000−i−i−i−iiiii000000000000000000000000000000000000000000
χ13788888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222222222222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ138888-88-8-8-8-4-4-444-44-44-4-44-4-4-4-444444-4442222-2-22-2-22-2-222-222-222-2-2-2-2-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-88-88-8-8-4-4-4-444-444-444-44-44-44-44-444-4222-22-2-22-2-22-22-2-22-2-22-2222-2-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-8-888-4-4-44-4444-4-44-4-44-444-44-444-44222-2-22-2-22-2-222-222-222-2-2-2-22-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-8-88-8-4-4-44-4444-44-444-44-4-44-44-44-44222-2-22-2-22-2-22-22-2-22-2-22222-2-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-4-4-4-444-4444-4-44-44-44-44-4444-4222-22-2-22-2-22-2-222-222-22-2-2-22-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-4-444-44-4444-44444-4-4-4-4-4-4442222-2-22-2-22-2-2-2-22-2-22-2-22222-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8888-8-4-4-4-4-4-4-4-4-4444444444444-4-4-4222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000000000000000

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