Finite Group Databasebeta

← Group #13161836

Character table — Group #13161836

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111112222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222222233366666666666666666666633333446666666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444444444444444121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ71111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111i−i111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-111-1-1i−ii−ii−i11-1-111-1-1ii−i−i11-1-1ii−i−iii−i−i
χ101-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111i−i111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1-111-1-111i−i−ii−ii11-1-1-1-111−i−iii-1-111−i−iiiii−i−i
χ111-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111i−i111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-11111-1-1-1-111−iii−i−ii-1-11111-1-1ii−i−i-1-111−i−iii−i−iii
χ121-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111i−i111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-11111-1-1−ii−iii−i-1-111-1-111−i−iii11-1-1ii−i−i−i−iii
χ131-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111−ii111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii11-1-111-1-111-1-1−ii−ii−ii11-1-111-1-1−i−iii11-1-1−i−iii−i−iii
χ141-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111−ii111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii11-1-1-1-111-1-111−iii−ii−i11-1-1-1-111ii−i−i-1-111ii−i−i−i−iii
χ151-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111−ii111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-11111-1-1-1-111i−i−iii−i-1-11111-1-1−i−iii-1-111ii−i−iii−i−i
χ161-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111−ii111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-111-1-11111-1-1i−ii−i−ii-1-111-1-111ii−i−i11-1-1−i−iiiii−i−i
χ172222222222-12222-1-122222-1-12-122-12-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000022000000000000-1-1-1-1-1-1-1-10000
χ182222222222-12222-1-122222-1-12-122-12-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2000000000000111111110000
χ192222222222-12222-1-122222-1-12-122-12-122-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-211-2-2-2-2-2-2-2-21111111111111111-2-2-2-211111111111111110000000022220000-2-2000000000000-1-1-1-111110000
χ202222222222-12222-1-122222-1-12-122-12-122-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-211-2-2-2-2-2-2-2-21111111111111111-2-2-2-2111111111111111100000000-2-2-2-20000220000000000001111-1-1-1-10000
χ21222222222-1222-1-122222-1-122-122-12-122-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000022000000-1-1-1-1-1-1-1-1000000000000
χ22222222222-1222-1-122222-1-122-122-12-122-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000011111111000000000000
χ23222222222-1222-1-122222-1-122-122-12-122-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-111-2-211-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-211111111111100002222000000-2-2000000-1-1-1-11111000000000000
χ24222222222-1222-1-122222-1-122-122-12-122-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-111-2-211-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-21111111111110000-2-2-2-2000000220000001111-1-1-1-1000000000000
χ2522222222-122-1-12222-1-1-1222222-12222-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000000220000-1-1-1-10000000000000000-1-1-1-1
χ2622222222-122-1-12222-1-1-1222222-12222-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000111100000000000000001111
χ2722222222-122-1-12222-1-1-1222222-12222-1-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-21111111111111111-2-2-2-211111111222200000000-2-20000-1-1-1-100000000000000001111
χ2822222222-122-1-12222-1-1-1222222-12222-1-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-21111111111111111-2-2-2-211111111-2-2-2-20000000022000011110000000000000000-1-1-1-1
χ292222-2-2-2-2222-2-22-22-222-22222-2-22-2-2-2-2-222222002-2-22-2-22-2-222-2-2-2-222-222-222-22222-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002-22-2000000000000002-22-200000000000000000000
χ302222-2-2-2-2222-2-22-22-222-22222-2-22-2-2-2-2-222222002-2-22-2-22-2-222-2-2-2-222-222-222-22222-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-22-2200000000000000-22-2200000000000000000000
χ312222-2-2-2-2-122112-22-2-1-112222-2-2-1-2-2-2-21-1-12-1-100-111-1112-2-2-1-11111-1-11-1-1122-2-1-1-1-11111-211000000003−33−333−3−333−3−300003333−3−3−3−333−3−333−3−300003333−3−3−3−32-22-200000000000000-11-1100000000000000003−33−3
χ322222-2-2-2-2-122112-22-2-1-112222-2-2-1-2-2-2-21-1-12-1-100-111-1112-2-2-1-11111-1-11-1-1122-2-1-1-1-11111-211000000003−33−333−3−333−3−300003333−3−3−3−333−3−333−3−300003333−3−3−3−3-22-22000000000000001-11-10000000000000000−33−33
χ332222-2-2-2-2-122112-22-2-1-112222-2-2-1-2-2-2-21-1-12-1-100-111-1112-2-2-1-11111-1-11-1-1122-2-1-1-1-11111-21100000000−33−33−3−333−3−3330000−3−3−3−33333−3−333−3−3330000−3−3−3−333332-22-200000000000000-11-110000000000000000−33−33
χ342222-2-2-2-2-122112-22-2-1-112222-2-2-1-2-2-2-21-1-12-1-100-111-1112-2-2-1-11111-1-11-1-1122-2-1-1-1-11111-21100000000−33−33−3−333−3−3330000−3−3−3−33333−3−333−3−3330000−3−3−3−33333-22-22000000000000001-11-100000000000000003−33−3
χ3522-2-22-22-22222-2-22-2-22-2-22-22-222-2-22-2-222222200-22-2-22-2-22-2-2-222-2-22-2-22-2-22-2-222-2-2-2-222222000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000000000002i−2i2i−2i0000000000000000
χ3622-2-22-22-22222-2-22-2-22-2-22-22-222-2-22-2-222222200-22-2-22-2-22-2-2-222-2-22-2-22-2-22-2-222-2-2-2-22222200000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i0000000000000000
χ3722-2-22-22-22-122-21-1-2-22-2-2-112-2-12-2121-22-12-1-1-1001-11-22-21-1111-1-111-1112-2-2-111-1-11111-12-1-1-1−i3i300−i3i3000000−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i00000000000000−ii−ii3−33−3000000000000
χ3822-2-22-22-22-122-21-1-2-22-2-2-112-2-12-2121-22-12-1-1-1001-11-22-21-1111-1-111-1112-2-2-111-1-11111-12-1-1-1−i3i300−i3i3000000−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i00000000000000i−ii−i−33−33000000000000
χ3922-2-22-22-22-122-21-1-2-22-2-2-112-2-12-2121-22-12-1-1-1001-11-22-21-1111-1-111-1112-2-2-111-1-11111-12-1-1-1i3−i300i3−i3000000i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i00000000000000−ii−ii−33−33000000000000
χ4022-2-22-22-22-122-21-1-2-22-2-2-112-2-12-2121-22-12-1-1-1001-11-22-21-1111-1-111-1112-2-2-111-1-11111-12-1-1-1i3−i300i3−i3000000i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i00000000000000i−ii−i3−33−3000000000000
χ4122-2-2-22-22222-22-2-2-222-222-22-2-2-2-22-222-22222200-2-22-2-22-2-22-2-2-2-2222-222-222-2222-2-222-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000000000002i−2i2i−2i00000000
χ4222-2-2-22-22222-22-2-2-222-222-22-2-2-2-22-222-22222200-2-22-2-22-2-22-2-2-2-2222-222-222-2222-2-222-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i00000000
χ4322-2-2-22-2222-1-22-2-21-12-222-2-11-21-2212-1-22-1-1-1-100-2-2211-111-11111-1-12-22-11-1-11-1-1-111-1-1-21111003−3003−3000000003−33−33−33−33−33−33−33−300003−33−33−33−33−33−33−33−3000000002i−2i2i−2i000000000000000000−ii−ii−i3i3−i3i30000
χ4422-2-2-22-2222-1-22-2-21-12-222-2-11-21-2212-1-22-1-1-1-100-2-2211-111-11111-1-12-22-11-1-11-1-1-111-1-1-21111003−3003−3000000003−33−33−33−33−33−33−33−300003−33−33−33−33−33−33−33−300000000−2i2i−2i2i000000000000000000i−ii−ii3−i3i3−i30000
χ4522-2-2-22-2222-1-22-2-21-12-222-2-11-21-2212-1-22-1-1-1-100-2-2211-111-11111-1-12-22-11-1-11-1-1-111-1-1-2111100−3300−3300000000−33−33−33−33−33−33−33−330000−33−33−33−33−33−33−33−33000000002i−2i2i−2i000000000000000000−ii−iii3−i3i3−i30000
χ4622-2-2-22-2222-1-22-2-21-12-222-2-11-21-2212-1-22-1-1-1-100-2-2211-111-11111-1-12-22-11-1-11-1-1-111-1-1-2111100−3300−3300000000−33−33−33−33−33−33−33−330000−33−33−33−33−33−33−33−3300000000−2i2i−2i2i000000000000000000i−ii−i−i3i3−i3i30000
χ472-22-22-2-222222-2-22-2-2-222-22-22-2-2-2-2222-22222200-22-2-22-2-22-2-2-222-2-2-222-222-222-2-22222-2-2-2-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000000000002i−2i−2i2i0000000000000000
χ482-22-22-2-222222-2-22-2-2-222-22-22-2-2-2-2222-22222200-22-2-22-2-22-2-2-222-2-2-222-222-222-2-22222-2-2-2-2-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i0000000000000000
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χ1374-44-4-444-44-2-2-44222-2-44-42-22-2-2-2-4-22224-2-21110022-222-2-1-11-1-1-1-1112-222-22-11-1-1-111-1-1-2-2111002i3−2i300−2i32i3000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1384-44-4-444-4-2442-2-4-4-442-22-44-444424-4-4-4-2-2-24-2-20022-222-2-4-442222-2-22-222-22-44-422-2-222-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-44-4-444-4-24-22-2-4-42-22-22-442-24-2242-42-2-21-2110022-2-1-1122-2-1-1-1-1112-22-11-12-22-1-111-1-1-21-21100−2i32i3002i3−2i300000000i3−i3i3−i3−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000−i3i3−i3i32i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1404-44-4-444-4-24-22-2-4-42-22-22-442-24-2242-42-2-21-2110022-2-1-1122-2-1-1-1-1112-22-11-12-22-1-111-1-1-21-211002i3−2i300−2i32i300000000−i3i3−i3i32i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000i3−i3i3−i3−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1414-44-4-444-4-2-242-222-442-222-2-44-242-2-42-4-21-2-21100-1-1122-222-2-1-1-1-111-11-12-222-22-1-111-1-11-2-2110000000000003-3-330000000033-3-3-3-333-333-300000000-3-33333-3-3000000000000000000000000000000000000000000
χ1424-44-4-444-4-2-242-222-442-222-2-44-242-2-42-4-21-2-21100-1-1122-222-2-1-1-1-111-11-12-222-22-1-111-1-11-2-211000000000000-333-300000000-3-33333-3-33-3-330000000033-3-3-3-333000000000000000000000000000000000000000000
χ1434-44-4-444-4-2-2-22-2222-22-222-22-2-2-22-2222-2111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i32-11-1-11-1-11-11+3i321−3i32−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i3200−2i32i3002i3−2i300003-3-33i3−i3i3−i3i3−i3i3−i3−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32-333-3−i3i3−i3i3−i3i3−i3i33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32000000000000000000000000000000000000000000
χ1444-44-4-444-4-2-2-22-2222-22-222-22-2-2-22-2222-2111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i32-11-1-11-1-11-11+3i321−3i32−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i32002i3−2i300−2i32i30000-333-3−i3i3−i3i3−i3i3−i3i33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i323-3-33i3−i3i3−i3i3−i3i3−i3−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32000000000000000000000000000000000000000000
χ1454-44-4-444-4-2-2-22-2222-22-222-22-2-2-22-2222-2111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i32-11-1-11-1-11-11−3i321+3i32−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i3200−2i32i3002i3−2i30000-333-3i3−i3i3−i3i3−i3i3−i33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i323-3-33−i3i3−i3i3−i3i3−i3i3−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32000000000000000000000000000000000000000000
χ1464-44-4-444-4-2-2-22-2222-22-222-22-2-2-22-2222-2111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i32-11-1-11-1-11-11−3i321+3i32−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i32002i3−2i300−2i32i300003-3-33−i3i3−i3i3−i3i3−i3i3−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32-333-3i3−i3i3−i3i3−i3i3−i33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32000000000000000000000000000000000000000000
χ1474-4-4444-4-44-2-244-2-2-2-2-4-4-42222224-2-222-4-2-21114i−4i-2-2-2-2-2-2111111111222222-1-1-1-1-1-1-1-1-122-1-1-1−2i−2i−2i−2i2i2i2i2i4i4i−4i−4i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ1484-4-4444-4-44-2-244-2-2-2-2-4-4-42222224-2-222-4-2-2111−4i4i-2-2-2-2-2-2111111111222222-1-1-1-1-1-1-1-1-122-1-1-12i2i2i2i−2i−2i−2i−2i−4i−4i4i4i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiii000000000000000000000000000000000000000000
χ1494-4-4444-4-4-24-2-2-244-2-2222-4-422-42-24-2-422-21-2114i−4i-2-2-2111-2-2-2111111222-1-1-1222-1-1-1-1-1-12-12-1-14i4i−2i−2i−4i−4i2i2i−2i−2i2i2i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ1504-4-4444-4-4-24-2-2-244-2-2222-4-422-42-24-2-422-21-211−4i4i-2-2-2111-2-2-2111111222-1-1-1222-1-1-1-1-1-12-12-1-1−4i−4i2i2i4i4i−2i−2i2i2i−2i−2i2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiiiiiii000000000000000000000000000000000000000000
χ1514-4-4444-4-4-2-24-2-2-2-24422222-4-42-4-2-242-421-2-2114i−4i111-2-2-2-2-2-2111111-1-1-1222222-1-1-1-1-1-1-122-1-1−2i−2i4i4i2i2i−4i−4i−2i−2i2i2iiiii−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ1524-4-4444-4-4-2-24-2-2-2-24422222-4-42-4-2-242-421-2-211−4i4i111-2-2-2-2-2-2111111-1-1-1222222-1-1-1-1-1-1-122-1-12i2i−4i−4i−2i−2i4i4i2i2i−2i−2i−i−i−i−i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiii000000000000000000000000000000000000000000
χ1534-4-4444-4-4-2-2-2-2-2-2-2-2-2222222222-2-2-2222111−1−3i32−1+3i324i−4i111111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i32-1-1-11+3i321−3i32−2i−2i−2i−2i2i2i2i2i−2i−2i2i2iiiiiiiiiiiii−ζ7+2ζ112ζ7−ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ11−ζ7+2ζ112ζ7−ζ11−i−i−i−i−i−i−i−i−i−i−i−iζ7−2ζ11−2ζ7+ζ11−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11ζ7−2ζ11−2ζ7+ζ11000000000000000000000000000000000000000000
χ1544-4-4444-4-4-2-2-2-2-2-2-2-2-2222222222-2-2-2222111−1−3i32−1+3i32−4i4i111111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i32-1-1-11+3i321−3i322i2i2i2i−2i−2i−2i−2i2i2i−2i−2i−i−i−i−i−i−i−i−i−i−i−i−iζ7−2ζ11−2ζ7+ζ11−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11ζ7−2ζ11−2ζ7+ζ11iiiiiiiiiiii−ζ7+2ζ112ζ7−ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ11−ζ7+2ζ112ζ7−ζ11000000000000000000000000000000000000000000
χ1554-4-4444-4-4-2-2-2-2-2-2-2-2-2222222222-2-2-2222111−1+3i32−1−3i324i−4i111111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i321−3i321+3i32-1-1-11−3i321+3i32−2i−2i−2i−2i2i2i2i2i−2i−2i2i2iiiiiiiiiiiii2ζ7−ζ11−ζ7+2ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ112ζ7−ζ11−ζ7+2ζ11−i−i−i−i−i−i−i−i−i−i−i−i−2ζ7+ζ11ζ7−2ζ11ζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11−2ζ7+ζ11ζ7−2ζ11000000000000000000000000000000000000000000
χ1564-4-4444-4-4-2-2-2-2-2-2-2-2-2222222222-2-2-2222111−1+3i32−1−3i32−4i4i111111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i321−3i321+3i32-1-1-11−3i321+3i322i2i2i2i−2i−2i−2i−2i2i2i−2i−2i−i−i−i−i−i−i−i−i−i−i−i−i−2ζ7+ζ11ζ7−2ζ11ζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11−2ζ7+ζ11ζ7−2ζ11iiiiiiiiiiii2ζ7−ζ11−ζ7+2ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ112ζ7−ζ11−ζ7+2ζ11000000000000000000000000000000000000000000
χ1574-4-44-4-44444-2-4-44-4-22-4-44-4-4224-24-424-244-2-2-2-2004-4-4-222-222-2-22222-4-4422-222-22222-2-24-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1584-4-44-4-4444-24-4-4-224-4-4-4422-4-4-2442-4-244-24-2-2-200-2224-4-4-222-2-2222222-2-4-4422-22222-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1594-4-44-4-4444-2-2-4-4-22-22-4-442222-2-2422-2-24-2-211100-222-2221-1-111-1-1-1-122-222-2-1-11-1-1-1-111-2-2111000000000000000000003-3-333-3-333-3-3300000000-333-3-333-3-333-3000000000000000000000000000000000000000000
χ1604-4-44-4-4444-2-2-4-4-22-22-4-442222-2-2422-2-24-2-211100-222-2221-1-111-1-1-1-122-222-2-1-11-1-1-1-111-2-211100000000000000000000-333-3-333-3-333-3000000003-3-333-3-333-3-33000000000000000000000000000000000000000000
χ1614-4-44-4-444-24-2224-4-2222-2-4-4224-2-2-424-2-2-21-21100-2221-1-1-22211-1-1-1-122-2-1-1122-2-1-1-1-111-21-21100000000−2i32i32i3−2i3−2i3−2i32i32i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32i32i3−2i3−2i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000000000000000
χ1624-4-44-4-444-24-2224-4-2222-2-4-4224-2-2-424-2-2-21-21100-2221-1-1-22211-1-1-1-122-2-1-1122-2-1-1-1-111-21-211000000002i3−2i3−2i32i32i32i3−2i3−2i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−2i3−2i32i32i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000000000000000
χ1634-4-44-4-444-2-2422-224-422-222-4-4-24-22-4-24-21-2-211001-1-1-222-22211-1-1-1-1-1-1122-222-2-1-1-1-1111-2-21100000000−2i32i32i3−2i3i3i3−i3−i3−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3−i3−i3i3i32i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000000000000000
χ1644-4-44-4-444-2-2422-224-422-222-4-4-24-22-4-24-21-2-211001-1-1-222-22211-1-1-1-1-1-1122-222-2-1-1-1-1111-2-211000000002i3−2i3−2i32i3−i3−i3i3i32i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3i3i3−i3−i3−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000000000000000
χ1654-4-44-4-444-2-2-222-22-2222-22222-2-2-222-2-2-2111−1−3i32−1+3i32001-1-11-1-11-1-1−1−3i32−1+3i321+3i321−3i321+3i321−3i32-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i32111−1−3i32−1+3i3200000000−2i32i32i3−2i3i3i3−i3−i3i3i3−i3−i33-3-33−3−i323−i323−i32−3−i32−3+i323+i323+i32−3+i32−i3−i3i3i3−i3−i3i3i3-333-33+i32−3+i32−3+i323+i323−i32−3−i32−3−i323−i32000000000000000000000000000000000000000000
χ1664-4-44-4-444-2-2-222-22-2222-22222-2-2-222-2-2-2111−1−3i32−1+3i32001-1-11-1-11-1-1−1−3i32−1+3i321+3i321−3i321+3i321−3i32-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i32111−1−3i32−1+3i32000000002i3−2i3−2i32i3−i3−i3i3i3−i3−i3i3i3-333-33+i32−3+i32−3+i323+i323−i32−3−i32−3−i323−i32i3i3−i3−i3i3i3−i3−i33-3-33−3−i323−i323−i32−3−i32−3+i323+i323+i32−3+i32000000000000000000000000000000000000000000
χ1674-4-44-4-444-2-2-222-22-2222-22222-2-2-222-2-2-2111−1+3i32−1−3i32001-1-11-1-11-1-1−1+3i32−1−3i321−3i321+3i321−3i321+3i32-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i32111−1+3i32−1−3i3200000000−2i32i32i3−2i3i3i3−i3−i3i3i3−i3−i3-333-33−i32−3−i32−3−i323−i323+i32−3+i32−3+i323+i32−i3−i3i3i3−i3−i3i3i33-3-33−3+i323+i323+i32−3+i32−3−i323−i323−i32−3−i32000000000000000000000000000000000000000000
χ1684-4-44-4-444-2-2-222-22-2222-22222-2-2-222-2-2-2111−1+3i32−1−3i32001-1-11-1-11-1-1−1+3i32−1−3i321−3i321+3i321−3i321+3i32-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i32111−1+3i32−1−3i32000000002i3−2i3−2i32i3−i3−i3i3i3−i3−i3i3i33-3-33−3+i323+i323+i32−3+i32−3−i323−i323−i32−3−i32i3i3−i3−i3i3i3−i3−i3-333-33−i32−3−i32−3−i323−i323+i32−3+i32−3+i323+i32000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.