Finite Group Databasebeta

← Group #13156758

Character table — Group #13156758

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order12222222333666666666666666666666333666666666666666666666444436666666444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222224444666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
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
χ911-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1i−ii−iii−i−iiiii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-11-111-1-111-1-111-1-1ii−i−i
χ1011-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1i−i−iiii−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1111-1-11-1-11111-1-1-1-111−i−iii
χ1111-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1−iii−iii−i−i−i−i−i−iiiiiii−i−iii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-111-1-1-111-1-11111-1-1−i−iii
χ1211-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1−ii−iiii−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-11-1111-1-1-1-111-1-111ii−i−i
χ1311-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1i−ii−i−i−iiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-11-1111-1-1-1-111-1-111−i−iii
χ1411-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1i−i−ii−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111-111-1-1-111-1-11111-1-1ii−i−i
χ1511-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1−iii−i−i−iii−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-11-1-11111-1-1-1-111ii−i−i
χ1611-1-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1−ii−ii−i−iii−i−i−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-111-1-111-1-111-1-1−i−iii
χ172222222222-1222222222-1-1-1-1-122-1-12222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-12222000022-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1000000000000
χ182222222222-1222222222-1-1-1-1-122-1-12222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-122-2-2000022-1-122-1-111110000-2-2-2-200000000-1-1-1-1-1-1-1-111111111-2-2-2-200001111000000000000
χ192222222222-1222222222-1-1-1-1-122-1-12222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-2220000-2-211-2-211-1-1-1-1000022220000000011111111-1-1-1-1-1-1-1-1-2-2-2-200001111000000000000
χ202222222222-1222222222-1-1-1-1-122-1-12222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-2-2-20000-2-211-2-21111110000-2-2-2-200000000111111111111111122220000-1-1-1-1000000000000
χ21222222222-1222-1-1222-1-122222-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-12200-1-1-1-1-1-122-1-122000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022000000-1-1-1-100000000
χ22222222222-1222-1-1222-1-122222-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-200-1-1-1-111-2-211-2-2000022220000-1-1-1-1-1-1-1-111111111000000000000-2-2000000111100000000
χ23222222222-1222-1-1222-1-122222-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-122001111-1-122-1-1220000-2-2-2-2000011111111-1-1-1-1-1-1-1-1000000000000-2-2000000111100000000
χ24222222222-1222-1-1222-1-122222-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-2-200111111-2-211-2-20000-2-2-2-20000111111111111111100000000000022000000-1-1-1-100000000
χ2522222222-122-1-122-1-1-122222222222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-100222222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000002200000000-1-1-1-10000
χ2622222222-122-1-122-1-1-122222222222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-100-2-2222200000000-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-10000000011111111000000-2-20000000011110000
χ2722222222-122-1-122-1-1-122222222222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-10022-2-2-2-20000000022221111-1-1-1-11111111100000000-1-1-1-1-1-1-1-1000000-2-20000000011110000
χ2822222222-122-1-122-1-1-122222222222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-2-2-200000000-2-2-2-2111111111111111100000000111111110000002200000000-1-1-1-10000
χ292222-2-2-2-22222-22-222-2222-2-222-2-2-2-2-2-2-22222-2-22-2-22-2-222-222-222-2-2-2-2000022-2-222-2-200000000000000000000000000000000000000000000000000002-22-200002-22-2000000000000
χ302222-2-2-2-22222-22-222-2222-2-222-2-2-2-2-2-2-22222-2-22-2-22-2-222-222-222-2-2-2-2000022-2-222-2-20000000000000000000000000000000000000000000000000000-22-220000-22-22000000000000
χ312222-2-2-2-222-12-22-222-222-111-1-1-2-211-2-2-22-1-12-2-2-111-11122-2-1-11-1-11-2110000-1-111-1-11100000000003−3003−33−33−3000000000000000033−3−333−3−333−3−333−3−32-22-20000-11-11000000000000
χ322222-2-2-2-222-12-22-222-222-111-1-1-2-211-2-2-22-1-12-2-2-111-11122-2-1-11-1-11-2110000-1-111-1-11100000000003−3003−3−33−33000000000000000033−3−333−3−3−3−333−3−333-22-2200001-11-1000000000000
χ332222-2-2-2-222-12-22-222-222-111-1-1-2-211-2-2-22-1-12-2-2-111-11122-2-1-11-1-11-2110000-1-111-1-1110000000000−3300−333−33−30000000000000000−3−333−3−33333−3−333−3−3-22-2200001-11-1000000000000
χ342222-2-2-2-222-12-22-222-222-111-1-1-2-211-2-2-22-1-12-2-2-111-11122-2-1-11-1-11-2110000-1-111-1-1110000000000−3300−33−33−330000000000000000−3−333−3−333−3−333−3−3332-22-20000-11-11000000000000
χ3522-2-22-2-222222-22-2-2-22-2-22-2-2-2-222222-2-22222-2-22-2-22-2-2-2-22-2-22-2-22222000022-2-2-2-22200000000000000000000000000000000000000000000000000002-2-2200002-2-22000000000000
χ3622-2-22-2-222222-22-2-2-22-2-22-2-2-2-222222-2-22222-2-22-2-22-2-2-2-22-2-22-2-22222000022-2-2-2-2220000000000000000000000000000000000000000000000000000-222-20000-222-2000000000000
χ3722-2-22-2-2222-12-22-2-2-22-2-2-1111122-1-12-2-22-1-12-2-2-111-111-2-2211-111-12-1-10000-1-11111-1-10000000000−i3i300i3−i3−i3i3i3−i30000000000000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i32-2-220000-111-1000000000000
χ3822-2-22-2-2222-12-22-2-2-22-2-2-1111122-1-12-2-22-1-12-2-2-111-111-2-2211-111-12-1-10000-1-11111-1-10000000000−i3i300i3−i3i3−i3−i3i30000000000000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3-222-200001-1-11000000000000
χ3922-2-22-2-2222-12-22-2-2-22-2-2-1111122-1-12-2-22-1-12-2-2-111-111-2-2211-111-12-1-10000-1-11111-1-10000000000i3−i300−i3i3−i3i3i3−i30000000000000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3-222-200001-1-11000000000000
χ4022-2-22-2-2222-12-22-2-2-22-2-2-1111122-1-12-2-22-1-12-2-2-111-111-2-2211-111-12-1-10000-1-11111-1-10000000000i3−i300−i3i3i3−i3−i3i30000000000000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i32-2-220000-111-1000000000000
χ4122-2-2-222-222-12222-2-2-2-2-2-1-1-111-2-211-2222-1-1222-1-1-1-1-1-1-2-2-2111111-2110000-1-1-1-111112i−2i2i−2i00002i2i−i−i−2i−2iii−i−iii00002i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii22-2-20000-1-111000000000000
χ4222-2-2-222-222-12222-2-2-2-2-2-1-1-111-2-211-2222-1-1222-1-1-1-1-1-1-2-2-2111111-2110000-1-1-1-111112i−2i−2i2i00002i2i−i−i−2i−2iiiii−i−i0000−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i-2-222000011-1-1000000000000
χ4322-2-2-222-222-12222-2-2-2-2-2-1-1-111-2-211-2222-1-1222-1-1-1-1-1-1-2-2-2111111-2110000-1-1-1-11111−2i2i2i−2i0000−2i−2iii2i2i−i−i−i−iii00002i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii-2-222000011-1-1000000000000
χ4422-2-2-222-222-12222-2-2-2-2-2-1-1-111-2-211-2222-1-1222-1-1-1-1-1-1-2-2-2111111-2110000-1-1-1-11111−2i2i−2i2i0000−2i−2iii2i2i−i−iii−i−i0000−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i22-2-20000-1-111000000000000
χ4522-2-2-222-22-1222-1-1-2-2-211222-2-211-2-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-212i2i−2i−2i-1-1-1-111112i−2i00−i−iii−i−i2i2iii−2i−2i00002i2i−2i−2i0000−i−i−i−iiiii−i−i−i−iiiii0000000000002-2000000-1-11100000000
χ4622-2-2-222-22-1222-1-1-2-2-211222-2-211-2-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-212i2i−2i−2i-1-1-1-11111−2i2i00−i−iiiii−2i−2i−i−i2i2i00002i2i−2i−2i0000−i−i−i−iiiiiiiii−i−i−i−i000000000000-2200000011-1-100000000
χ4722-2-2-222-22-1222-1-1-2-2-211222-2-211-2-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-21−2i−2i2i2i-1-1-1-111112i−2i00ii−i−i−i−i2i2iii−2i−2i0000−2i−2i2i2i0000iiii−i−i−i−i−i−i−i−iiiii000000000000-2200000011-1-100000000
χ4822-2-2-222-22-1222-1-1-2-2-211222-2-211-2-2-22-1-12-1-1-1-1222-1-1-1111-2-2-21111-21−2i−2i2i2i-1-1-1-11111−2i2i00ii−i−iii−2i−2i−i−i2i2i0000−2i−2i2i2i0000iiii−i−i−i−iiiii−i−i−i−i0000000000002-2000000-1-11100000000
χ4922-2-2-222-2-122-1-122111-2-2222-2-2-2-2-2-21-12-1-12-1-1-1-1-1-1222111111-2-2-211-22i2i−2i−2i-1-1-1-11111002i−2i2i2i−2i−2i000000002i2i−2i−2i−i−iii−i−iii−i−i−i−iiiii00000000−i−i−i−iiiii0000002-200000000-1-1110000
χ5022-2-2-222-2-122-1-122111-2-2222-2-2-2-2-2-21-12-1-12-1-1-1-1-1-1222111111-2-2-211-22i2i−2i−2i-1-1-1-1111100−2i2i2i2i−2i−2i00000000−2i−2i2i2i−i−iiiii−i−i−i−i−i−iiiii00000000iiii−i−i−i−i000000-220000000011-1-10000
χ5122-2-2-222-2-122-1-122111-2-2222-2-2-2-2-2-21-12-1-12-1-1-1-1-1-1222111111-2-2-211-2−2i−2i2i2i-1-1-1-11111002i−2i−2i−2i2i2i000000002i2i−2i−2iii−i−i−i−iiiiiii−i−i−i−i00000000−i−i−i−iiiii000000-220000000011-1-10000
χ5222-2-2-222-2-122-1-122111-2-2222-2-2-2-2-2-21-12-1-12-1-1-1-1-1-1222111111-2-2-211-2−2i−2i2i2i-1-1-1-1111100−2i2i−2i−2i2i2i00000000−2i−2i2i2iii−i−iii−i−iiiii−i−i−i−i00000000iiii−i−i−i−i0000002-200000000-1-1110000
χ532-22-222-2-2222-22-2-22-222-2-22-22-22-22-2-2-22222-22-2-22-2-22-22-222-222-2-2-2-2200002-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ542-22-222-2-2222-22-2-22-222-2-22-22-22-22-2-2-22222-22-2-22-2-22-22-222-222-2-2-2-2200002-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ552-22-2-2-222222-2-2-222-2-22-2-2-222-2-22-2222-2222-2-22-2-22-2-222-2-22-2-22-2222-22-22-22-2-222-2-2200002-22-20000000000002-22-2000022-2-222-2-20000000000000000000000000000000000000000
χ562-22-2-2-222222-2-2-222-2-22-2-2-222-2-22-2222-2222-2-22-2-22-2-222-2-22-2-22-2222-2-22-222-2-222-2-220000-22-22000000000000-22-220000-2-222-2-2220000000000000000000000000000000000000000
χ572-22-2-2-2222-12-2-21-12-2-2-11-2-222-21-1-22221-12-111-1-2-2211-1-1112-2-2-11-1-1212-22-2-111-1-111-10000-11-113−3003−30000002-22-20000-1-111-1-1113−33−33−33−3000000000000000000003−33−300000000
χ582-22-2-2-2222-12-2-21-12-2-2-11-2-222-21-1-22221-12-111-1-2-2211-1-1112-2-2-11-1-1212-22-2-111-1-111-10000-11-11−3300−330000002-22-20000-1-111-1-111−33−33−33−3300000000000000000000−33−3300000000
χ592-22-2-2-2222-12-2-21-12-2-2-11-2-222-21-1-22221-12-111-1-2-2211-1-1112-2-2-11-1-121-22-22-111-1-111-100001-11-13−3003−3000000-22-22000011-1-111-1-13−33−33−33−300000000000000000000−33−3300000000
χ602-22-2-2-2222-12-2-21-12-2-2-11-2-222-21-1-22221-12-111-1-2-2211-1-1112-2-2-11-1-121-22-22-111-1-111-100001-11-1−3300−33000000-22-22000011-1-111-1-1−33−33−33−33000000000000000000003−33−300000000
χ612-22-2-2-222-12211-22-1112-2-2-222-2-22-22-1-1-2-1-1211-111-1-2-22-111-1112-22-1-1-22-22-2-111-1-111-100002-22-2000000000000-11-11−i3i3−i3i3-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i30000000000000000−i3i3−i3i30000
χ622-22-2-2-222-12211-22-1112-2-2-222-2-22-22-1-1-2-1-1211-111-1-2-22-111-1112-22-1-1-22-22-2-111-1-111-100002-22-2000000000000-11-11i3−i3i3−i3-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i30000000000000000i3−i3i3−i30000
χ632-22-2-2-222-12211-22-1112-2-2-222-2-22-22-1-1-2-1-1211-111-1-2-22-111-1112-22-1-1-2-22-22-111-1-111-10000-22-220000000000001-11-1−i3i3−i3i311-1-111-1-100000000−i3i3−i3i3−i3i3−i3i30000000000000000i3−i3i3−i30000
χ642-22-2-2-222-12211-22-1112-2-2-222-2-22-22-1-1-2-1-1211-111-1-2-22-111-1112-22-1-1-2-22-22-111-1-111-10000-22-220000000000001-11-1i3−i3i3−i311-1-111-1-100000000i3−i3i3−i3i3−i3i3−i30000000000000000−i3i3−i3i30000
χ652-2-222-22-2222-2-2-22-222-22-2-22-222-22-2-22-2222-2-22-2-22-2-22-222-222-22-2-2-222i−2i−2i2i2-2-22-222-200002i−2i−2i2i0000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ662-2-222-22-2222-2-2-22-222-22-2-22-222-22-2-22-2222-2-22-2-22-2-22-222-222-22-2-2-22−2i2i2i−2i2-2-22-222-20000−2i2i2i−2i000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ672-2-222-22-22-12-2-21-1-2221-1-2-22-22-112-2-221-12-111-1-2-2211-11-1-1-2221-111-2-12i−2i−2i2i-111-11-1-110000−iii−i−i3i300i3−i30000002i−2i−2i2i0000−i−iiiii−i−i−i3i3−i3i3i3−i3i3−i300000000000000000000−333−300000000
χ682-2-222-22-22-12-2-21-1-2221-1-2-22-22-112-2-221-12-111-1-2-2211-11-1-1-2221-111-2-12i−2i−2i2i-111-11-1-110000−iii−ii3−i300−i3i30000002i−2i−2i2i0000−i−iiiii−i−ii3−i3i3−i3−i3i3−i3i3000000000000000000003−3−3300000000
χ692-2-222-22-22-12-2-21-1-2221-1-2-22-22-112-2-221-12-111-1-2-2211-11-1-1-2221-111-2-1−2i2i2i−2i-111-11-1-110000i−i−ii−i3i300i3−i3000000−2i2i2i−2i0000ii−i−i−i−iii−i3i3−i3i3i3−i3i3−i3000000000000000000003−3−3300000000
χ702-2-222-22-22-12-2-21-1-2221-1-2-22-22-112-2-221-12-111-1-2-2211-11-1-1-2221-111-2-1−2i2i2i−2i-111-11-1-110000i−i−iii3−i300−i3i3000000−2i2i2i−2i0000ii−i−i−i−iiii3−i3i3−i3−i3i3−i3i300000000000000000000−333−300000000
χ712-2-222-22-2-12211-221-1-1-22-2-22-222-22-21-1-2-1-1211-111-1-2-221-1-11-1-1-22-21122i−2i−2i2i-111-11-1-1100002i−2i−2i2i000000000000−iii−i3−3−33−i−iiiii−i−i000000003−33−3−33−330000000000000000−i3i3i3−i30000
χ722-2-222-22-2-12211-221-1-1-22-2-22-222-22-21-1-2-1-1211-111-1-2-221-1-11-1-1-22-21122i−2i−2i2i-111-11-1-1100002i−2i−2i2i000000000000−iii−i−333−3−i−iiiii−i−i00000000−33−333−33−30000000000000000i3−i3−i3i30000
χ732-2-222-22-2-12211-221-1-1-22-2-22-222-22-21-1-2-1-1211-111-1-2-221-1-11-1-1-22-2112−2i2i2i−2i-111-11-1-110000−2i2i2i−2i000000000000i−i−ii3−3−33ii−i−i−i−iii000000003−33−3−33−330000000000000000i3−i3−i3i30000
χ742-2-222-22-2-12211-221-1-1-22-2-22-222-22-21-1-2-1-1211-111-1-2-221-1-11-1-1-22-2112−2i2i2i−2i-111-11-1-110000−2i2i2i−2i000000000000i−i−ii−333−3ii−i−i−i−iii00000000−33−333−33−30000000000000000−i3i3i3−i30000
χ752-2-22-22-22222-22-2-2-22-2-22-22-2-22-22-222-22222-22-2-22-2-22-2-22-2-22-2-22222-200002-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000002-2-22
χ762-2-22-22-22222-22-2-2-22-2-22-22-2-22-22-222-22222-22-2-22-2-22-2-22-2-22-2-22222-200002-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000-222-2
χ77444444444-2-244-2-2444-2-2-2-2-2-2-2-2-2-2-244-2-2-21-2-2-2-2-2-2111-2-2-2-2-2-2111-2-2100001111111144000000-2-2-2-2-2-2-2-2000000000000000000001111111100000000000000000000000000000000
χ78444444444-2-244-2-2444-2-2-2-2-2-2-2-2-2-2-244-2-2-21-2-2-2-2-2-2111-2-2-2-2-2-2111-2-21000011111111-4-40000002222222200000000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ7944444444-24-2-2-244-2-2-244-2-2-2-2-244-2-2-2-24-21-2-2-2-2111-2-2-2-2-2-2111-2-2-2-21-20000111111110044000000000000-2-2-2-20000-2-2-2-2000000000000000011111111000000000000000000000000
χ8044444444-24-2-2-244-2-2-244-2-2-2-2-244-2-2-2-24-21-2-2-2-2111-2-2-2-2-2-2111-2-2-2-21-200001111111100-4-40000000000002222000022220000000000000000-1-1-1-1-1-1-1-1000000000000000000000000
χ8144444444-2-24-2-2-2-2-2-2-2-2-244444-2-244-2-2-21-2-2111-2-2-2-2-2-2111-2-2-2-2-2-21-2-24444111111110000-2-2-2-2000000000000-2-2-2-20000111111110000000000000000000000000000000000000000
χ8244444444-2-24-2-2-2-2-2-2-2-2-244444-2-244-2-2-21-2-2111-2-2-2-2-2-2111-2-2-2-2-2-21-2-2-4-4-4-4111111110000222200000000000022220000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ834444-4-4-4-44-244-4-2244-4-2-24-4-44422-4-4-4-42-24-2-2224-4-4-222-2-2244-4-2-222-420000-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ844444-4-4-4-44-2-24-4-2244-4-2-2-222-2-22222-4-42-2-21-222-2221-1-1-2-22-2-2211-122-1000011-1-111-1-1000000000023−230023−2300000000000000000000−3−333−3−33300000000000000000000000000000000
χ854444-4-4-4-44-2-24-4-2244-4-2-2-222-2-22222-4-42-2-21-222-2221-1-1-2-22-2-2211-122-1000011-1-111-1-10000000000−232300−23230000000000000000000033−3−333−3−300000000000000000000000000000000
χ864444-4-4-4-4-244-224-4-2-22444-4-444-4-4-4-422-4-2-24-222-2224-4-4-2-22-2-2244-422-40000-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ874444-4-4-4-4-24-2-224-4-2-2244-222-2-2-4-42222-4-21-2-2221-1-1-222-2-2211-1-2-222-12000011-1-111-1-1000000000000000023−2323−23000000000000000000000000−3−333−3−333000000000000000000000000
χ884444-4-4-4-4-24-2-224-4-2-2244-222-2-2-4-42222-4-21-2-2221-1-1-222-2-2211-1-2-222-12000011-1-111-1-10000000000000000−2323−232300000000000000000000000033−3−333−3−3000000000000000000000000
χ894444-4-4-4-4-2-24-22-22-2-22-2-24-4-44422-4-42221-2-21-1-1-222-22211-1-2-22-2-22-122000011-1-111-1-100000000000000000000000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000000000
χ904444-4-4-4-4-2-24-22-22-2-22-2-24-4-44422-4-42221-2-21-1-1-222-22211-1-2-22-2-22-122000011-1-111-1-10000000000000000000000000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000000000
χ9144-4-44-4-444-244-4-22-4-44224-4-4-4-4-2-2444-42-24-2-2224-4-4-22222-2-4-4422-2-24-20000-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-44-4-444-2-24-4-22-4-4422-22222-2-2-2-24-42-2-21-222-2221-1-122-222-2-1-11-2-21000011-1-1-1-1110000000000−2i32i3002i3−2i300000000000000000000i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ9344-4-44-4-444-2-24-4-22-4-4422-22222-2-2-2-24-42-2-21-222-2221-1-122-222-2-1-11-2-21000011-1-1-1-11100000000002i3−2i300−2i32i300000000000000000000−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ9444-4-44-4-44-244-224-422-2-4-44-4-4-4-44444-22-4-2-24-222-2224-4-422-222-2-4-44-2-240000-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-44-4-44-24-2-224-422-2-4-4-2222244-2-2-22-4-21-2-2221-1-1-22222-2-1-1122-2-21-2000011-1-1-1-1110000000000000000−2i32i32i3−2i3000000000000000000000000i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ9644-4-44-4-44-24-2-224-422-2-4-4-2222244-2-2-22-4-21-2-2221-1-1-22222-2-1-1122-2-21-2000011-1-1-1-11100000000000000002i3−2i3−2i32i3000000000000000000000000−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ9744-4-44-4-44-2-24-22-2222-2224-4-4-4-4-2-244-2221-2-21-1-1-222-222-1-1122-222-21-2-2000011-1-1-1-11100000000000000000000000000003-33-3-33-330000000000000000000000000000000000000000
χ9844-4-44-4-44-2-24-22-2222-2224-4-4-4-4-2-244-2221-2-21-1-1-222-222-1-1122-222-21-2-2000011-1-1-1-1110000000000000000000000000000-33-333-33-30000000000000000000000000000000000000000
χ9944-4-4-444-44-2-244-2-2-4-4-422-2-2-2222222-44-2-2-21-2-2-2-2-2-2111222222-1-1-122-100001111-1-1-1-14i−4i000000−2i−2i−2i−2i2i2i2i2i00000000000000000000iiii−i−i−i−i00000000000000000000000000000000
χ10044-4-4-444-44-2-244-2-2-4-4-422-2-2-2222222-44-2-2-21-2-2-2-2-2-2111222222-1-1-122-100001111-1-1-1-1−4i4i0000002i2i2i2i−2i−2i−2i−2i00000000000000000000−i−i−i−iiiii00000000000000000000000000000000
χ10144-4-4-444-4-24-2-2-244222-4-4-2-2-222-4-4222-24-21-2-2-2-2111-2-2-2222-1-1-12222-1200001111-1-1-1-1004i−4i000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000iiii−i−i−i−i000000000000000000000000
χ10244-4-4-444-4-24-2-2-244222-4-4-2-2-222-4-4222-24-21-2-2-2-2111-2-2-2222-1-1-12222-1200001111-1-1-1-100−4i4i0000000000002i2i−2i−2i00002i2i−2i−2i0000000000000000−i−i−i−iiiii000000000000000000000000
χ10344-4-4-444-4-2-24-2-2-2-222222444-4-422-4-42-2-21-2-2111-2-2-2-2-2-2-1-1-1222222-1224i4i−4i−4i1111-1-1-1-10000−2i−2i2i2i000000000000−2i−2i2i2i0000iiii−i−i−i−i0000000000000000000000000000000000000000
χ10444-4-4-444-4-2-24-2-2-2-222222444-4-422-4-42-2-21-2-2111-2-2-2-2-2-2-1-1-1222222-122−4i−4i4i4i1111-1-1-1-100002i2i−2i−2i0000000000002i2i−2i−2i0000−i−i−i−iiiii0000000000000000000000000000000000000000
χ1054-44-444-4-444-2-44-4-44-444-42-22-224-4-22-4-444-2-2-44-42-222-224-44-22-2-222-42-20000-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-44-444-4-44-24-44224-44-22-44-44-4-224-4-4-4-2-24-22-22-44-42-22-22-24-44-2222-4-20000-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-44-444-4-44-2-2-44224-44-222-22-22-22-22-4-4-2-2-212-222-22-11-1-22-2-22-21-1-122100001-11-11-11-10000000000000000000000000000000000003-3-333-3-3300000000000000000000000000000000
χ1084-44-444-4-44-2-2-44224-44-222-22-22-22-22-4-4-2-2-212-222-22-11-1-22-2-22-21-1-122100001-11-11-11-1000000000000000000000000000000000000-333-3-333-300000000000000000000000000000000
χ1094-44-444-4-4-2442-2-4-4-22-24-4-44-44-44-44-4224-2-242-222-22-44-4-22-2-22-24-4-42240000-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-44-444-4-4-24-22-2-4-4-22-24-42-22-224-4-22224-21-22-22-11-12-22-22-21-11-2222-1-200001-11-11-11-1000000000000000000000000000000000000000000003i−3i−3i3i3i−3i−3i3i000000000000000000000000
χ1114-44-444-4-4-24-22-2-4-4-22-24-42-22-224-4-22224-21-22-22-11-12-22-22-21-11-2222-1-200001-11-11-11-100000000000000000000000000000000000000000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000
χ1124-44-444-4-4-2-242-222-22-2-22-44-44-4-224-422-21-2-2-11-12-222-221-11-22-2-222-12-200001-11-11-11-100000000000000000000000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1134-44-444-4-4-2-242-222-22-2-22-44-44-4-224-422-21-2-2-11-12-222-221-11-22-2-222-12-200001-11-11-11-10000000000000000000000000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1144-44-4-4-44444-2-4-4-444-4-44-422-2-22-442-244-44-2-2-4-4422-222-24-4-4-222-22-24-220000-222-2-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-44-4-4-4444-2-2-4-42-24-4-4-2222-2-222-22-2442-2-2122-222-2-1-11-222-2221-11-2-2-100001-1-111-1-110000000023−230023−230000000000000000000000−33−33−33−3300000000000000000000000000000000
χ1164-44-4-4-4444-2-2-4-42-24-4-4-2222-2-222-22-2442-2-2122-222-2-1-11-222-2221-11-2-2-100001-1-111-1-1100000000−232300−232300000000000000000000003−33−33−33−300000000000000000000000000000000
χ1174-44-4-4-444-24-222-44-2224-422-2-22-442-2-2-2-4-21-222-2-1-1122-2-2221-1-1-22-2-21200001-1-111-1-11000000000000000000000000−2i32i3−2i32i30000000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ1184-44-4-4-444-24-222-44-2224-422-2-22-442-2-2-2-4-21-222-2-1-1122-2-2221-1-1-22-2-21200001-1-111-1-110000000000000000000000002i3−2i32i3−2i30000000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ1194-44-4-4-444-2-24222-2-222-22-4-444-42-2-44-2-221-2-2-1-1122-222-21-1-1-222-22-21-224-44-41-1-111-1-110000-22-22000000000000-22-22000011-1-111-1-10000000000000000000000000000000000000000
χ1204-44-4-4-444-2-24222-2-222-22-4-444-42-2-44-2-221-2-2-1-1122-222-21-1-1-222-22-21-22-44-441-1-111-1-1100002-22-20000000000002-22-20000-1-111-1-1110000000000000000000000000000000000000000
χ1214-4-444-44-444-2-4-4-44-444-4422-22-24-4-22-44-44-2-2-4-4422-222-2-4442-2-22-22-42-20000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-444-44-44-2-2-4-42-2-4442-222-22-2-22-22-442-2-2122-222-2-1-112-2-22-2-2-11-122100001-1-11-111-100000000−2i32i3002i3−2i30000000000000000000000i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ1234-4-444-44-44-2-2-4-42-2-4442-222-22-2-22-22-442-2-2122-222-2-1-112-2-22-2-2-11-122100001-1-11-111-1000000002i3−2i300−2i32i30000000000000000000000−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ1244-4-444-44-4-24-222-442-2-2-4422-22-24-4-222-2-4-21-222-2-1-1122-22-2-2-1112-222-1-200001-1-11-111-100000000000000000000000023−23−23230000000000000000−33−333−33−3000000000000000000000000
χ1254-4-444-44-4-24-222-442-2-2-4422-22-24-4-222-2-4-21-222-2-1-1122-22-2-2-1112-222-1-200001-1-11-111-1000000000000000000000000−232323−2300000000000000003−33−3−33−33000000000000000000000000
χ1264-4-444-44-4-2-24222-22-2-22-2-4-44-44-224-42-221-2-2-1-1122-222-2-1112-2-22-22-12-24i−4i−4i4i1-1-11-111-10000−2i2i2i−2i000000000000−2i2i2i−2i0000ii−i−i−i−iii0000000000000000000000000000000000000000
χ1274-4-444-44-4-2-24222-22-2-22-2-4-44-44-224-42-221-2-2-1-1122-222-2-1112-2-22-22-12-2−4i4i4i−4i1-1-11-111-100002i−2i−2i2i0000000000002i−2i−2i2i0000−i−iiiii−i−i0000000000000000000000000000000000000000
χ1284-4-44-44-4444-2-44-4-4-44-4-442-222-2-442-24-444-2-2-44-42-222-22-44-42-222-2-24-220000-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-44-44-444-24-4422-44-42-2-44-4-442-2-444-4-2-24-22-22-44-42-222-22-44-42-2-2-2420000-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-44-44-444-2-2-4422-44-42-22-222-22-22-24-4-2-2-212-222-22-11-12-222-22-111-2-2-100001-11-1-11-110000000000000000000000000000000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ1314-4-44-44-444-2-2-4422-44-42-22-222-22-22-24-4-2-2-212-222-22-11-12-222-22-111-2-2-100001-11-1-11-11000000000000000000000000000000000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ1324-4-44-44-44-2442-2-4-42-22-44-44-4-44-44-44-224-2-242-222-22-44-42-222-22-444-2-2-40000-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-44-44-24-22-2-4-42-22-442-222-2-442-2-224-21-22-22-11-12-222-22-11-12-2-2-21200001-11-1-11-11000000000000000000000000000000000000000000003-3-33-333-3000000000000000000000000
χ1344-4-44-44-44-24-22-2-4-42-22-442-222-2-442-2-224-21-22-22-11-12-222-22-11-12-2-2-21200001-11-1-11-1100000000000000000000000000000000000000000000-333-33-3-33000000000000000000000000
χ1354-4-44-44-44-2-242-2222-222-2-44-4-442-2-44-22-21-2-2-11-12-222-22-11-12-222-2-21-2200001-11-1-11-1100000000000000000000000000003-3-33-333-30000000000000000000000000000000000000000
χ1364-4-44-44-44-2-242-2222-222-2-44-4-442-2-44-22-21-2-2-11-12-222-22-11-12-222-2-21-2200001-11-1-11-110000000000000000000000000000-333-33-3-330000000000000000000000000000000000000000
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
χ1388888-8-8-8-8-4-4-4-44-44-4-44-4-4-444-4-444444442222-2-22-2-22-2-222-222-222-2-2-2-20000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-88-8-88-4-4-4-44-4444-444-44444-4-4-4-4-4442222-2-22-2-22-2-2-2-22-2-22-2-222220000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-888-8-4-4-4-4-4-4-444444-4-4-44444444-4-4222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-888-8-8-4-4-44-444-44-4-444-44-44-44-4444-4222-22-2-22-2-22-22-222-222-2-2-2-220000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-8-888-4-4-4444-4-444-4444-4-444-44-4-4-44222-2-22-2-22-2-222-2-22-2-22-2222-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-88-8-4-4-4444-44-4-44-444-44-4-44-444-44222-2-22-2-22-2-22-222-222-22-2-2-220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-88-88-4-4-44-4444-444-44-444-44-44-4-44-4222-22-2-22-2-22-2-22-2-22-2-22222-20000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000

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