Finite Group Databasebeta

← Group #13161835

Character table — Group #13161835

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111112222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222222233366666666666666666666633333446666666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444444444444444121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111i−i111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−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−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−i
χ101-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111i−i111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−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−ii11-1-1-1-111-1-111ii−i−i−i−iii−i−iii
χ111-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111i−i111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−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-1-11111-1-1-1-111−i−iiiii−i−i−i−iii
χ121-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111i−i111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−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-1-111-1-11111-1-1−i−iii−i−iiiii−i−i
χ131-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111−ii111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−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−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii
χ141-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111−ii111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−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−i11-1-1-1-111-1-111−i−iiiii−i−iii−i−i
χ151-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111−ii111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−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-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i
χ161-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111111−ii111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−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-1-111-1-11111-1-1ii−i−iii−i−i−i−iii
χ172222222222-12222-1-1222222-1-1-122-122-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200002200000000-1-1-1-100000000-1-1-1-1
χ182222222222-12222-1-1222222-1-1-122-122-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2000000001111000000001111
χ192222222222-12222-1-1222222-1-1-122-122-12-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-2-2-2-211-2-2-2-21111111111111111-2-2-2-211111111111111110000000022220000-2-200000000-1-1-1-1000000001111
χ202222222222-12222-1-1222222-1-1-122-122-12-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-2-2-2-211-2-2-2-21111111111111111-2-2-2-2111111111111111100000000-2-2-2-200002200000000111100000000-1-1-1-1
χ21222222222-1222-1-122222-1-1-12222-122-12-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-122-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000022000000-1-1-1-100000000-1-1-1-10000
χ22222222222-1222-1-122222-1-1-12222-122-12-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-122-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000011110000000011110000
χ23222222222-1222-1-122222-1-1-12222-122-12-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-2-211-2-2-2-211-2-21111-2-2-2-21111111111111111-2-2-2-211111111111100002222000000-2-2000000-1-1-1-10000000011110000
χ24222222222-1222-1-122222-1-1-12222-122-12-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-2-211-2-2-2-211-2-21111-2-2-2-21111111111111111-2-2-2-21111111111110000-2-2-2-200000022000000111100000000-1-1-1-10000
χ2522222222-122-1-12222-1-1-1222222-122-122-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-12222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000000220000-1-1-1-100000000-1-1-1-100000000
χ2622222222-122-1-12222-1-1-1222222-122-122-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-12222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000111100000000111100000000
χ2722222222-122-1-12222-1-1-1222222-122-122-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-111-2-2-2-211-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-211111111222200000000-2-20000-1-1-1-100000000111100000000
χ2822222222-122-1-12222-1-1-1222222-122-122-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-111-2-2-2-211-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-211111111-2-2-2-200000000220000111100000000-1-1-1-100000000
χ29222-22-2-2-22222-22-2-2-222-222-222-2-2-22-2-2-222222002-2-22-2-22-2-222-2-2-2-222-222-222-22222-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-2000000000000002-22-2000000000000
χ30222-22-2-2-22222-22-2-2-222-222-222-2-2-22-2-2-222222002-2-22-2-22-2-222-2-2-2-222-222-222-22222-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-2200000000000000-22-22000000000000
χ31222-22-2-2-222-12-22-21122-222-2-1-11-2-2-1-2-212-1-1-1-1002-2-2-111-111-1-1111122-2-1-11-1-11-1-1-1-111-2111100003−300003−3000033−3−333−3−33333−3−3−3−3000033−3−333−3−33333−3−3−3−3000000002-22-200000000000000-11-11000000003−33−3
χ32222-22-2-2-222-12-22-21122-222-2-1-11-2-2-1-2-212-1-1-1-1002-2-2-111-111-1-1111122-2-1-11-1-11-1-1-1-111-2111100003−300003−3000033−3−333−3−33333−3−3−3−3000033−3−333−3−33333−3−3−3−300000000-22-22000000000000001-11-100000000−33−33
χ33222-22-2-2-222-12-22-21122-222-2-1-11-2-2-1-2-212-1-1-1-1002-2-2-111-111-1-1111122-2-1-11-1-11-1-1-1-111-211110000−330000−330000−3−333−3−333−3−3−3−333330000−3−333−3−333−3−3−3−33333000000002-22-200000000000000-11-1100000000−33−33
χ34222-22-2-2-222-12-22-21122-222-2-1-11-2-2-1-2-212-1-1-1-1002-2-2-111-111-1-1111122-2-1-11-1-11-1-1-1-111-211110000−330000−330000−3−333−3−333−3−3−3−333330000−3−333−3−333−3−3−3−3333300000000-22-22000000000000001-11-1000000003−33−3
χ3522-22-22-2-2222-22-2-22-22-222-222-22-22-2-2-2-22222200-22-2-22-2-22-2-2-222-2-22-222-222-2222-2-222-2-2-2-2-2000000000000000000000000000000000000000000000000000000002-22-2000000000000002-22-20000000000000000
χ3622-22-22-2-2222-22-2-22-22-222-222-22-22-2-2-2-22222200-22-2-22-2-22-2-2-222-2-22-222-222-2222-2-222-2-2-2-2-200000000000000000000000000000000000000000000000000000000-22-2200000000000000-22-220000000000000000
χ3722-22-22-2-22-12-22112-22-22-11-12-22-2-1-2-21-2-12-1-1-1001-11-22-21-1111-1-111-11-12-22-11-1-1-111-1-11-2111003−300003−30033−3−300003−33−333−3−333−3−333−3−300003−33−333−3−333−3−300002-22-200000000000000-11-11000000003−33−30000
χ3822-22-22-2-22-12-22112-22-22-11-12-22-2-1-2-21-2-12-1-1-1001-11-22-21-1111-1-111-11-12-22-11-1-1-111-1-11-2111003−300003−30033−3−300003−33−333−3−333−3−333−3−300003−33−333−3−333−3−30000-22-22000000000000001-11-100000000−33−330000
χ3922-22-22-2-22-12-22112-22-22-11-12-22-2-1-2-21-2-12-1-1-1001-11-22-21-1111-1-111-11-12-22-11-1-1-111-1-11-211100−330000−3300−3−3330000−33−33−3−333−3−333−3−3330000−33−33−3−333−3−33300002-22-200000000000000-11-1100000000−33−330000
χ4022-22-22-2-22-12-22112-22-22-11-12-22-2-1-2-21-2-12-1-1-1001-11-22-21-1111-1-111-11-12-22-11-1-1-111-1-11-211100−330000−3300−3−3330000−33−33−3−333−3−333−3−3330000−33−33−3−333−3−3330000-22-22000000000000001-11-1000000003−33−30000
χ4122-2-2-2-222222-2-2-22-222-2-22-2-22-2-22-2-22222222200-2-22-2-22-2-22-2-2-2-2222-2-22-2-22-2-222-2-2-2-22222200000000000000000000000000000000000000000000000000002-22-2000000000000002-22-200000000000000000000
χ4222-2-2-2-222222-2-2-22-222-2-22-2-22-2-22-2-22222222200-2-22-2-22-2-22-2-2-2-2222-2-22-2-22-2-222-2-2-2-2222220000000000000000000000000000000000000000000000000000-22-2200000000000000-22-2200000000000000000000
χ4322-2-2-2-222-12211-22-22-1112-2-22-2-2-1-2-2-122-1-12-1-10011-111-1-2-221111-1-1-111-1112-2-2-1-11111-1-12-1-1−i3i30000−i3i30000−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i32-22-200000000000000-11-1100000000−i3i3−i3i300000000
χ4422-2-2-2-222-12211-22-22-1112-2-22-2-2-1-2-2-122-1-12-1-10011-111-1-2-221111-1-1-111-1112-2-2-1-11111-1-12-1-1−i3i30000−i3i30000−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-22-22000000000000001-11-100000000i3−i3i3−i300000000
χ4522-2-2-2-222-12211-22-22-1112-2-22-2-2-1-2-2-122-1-12-1-10011-111-1-2-221111-1-1-111-1112-2-2-1-11111-1-12-1-1i3−i30000i3−i30000i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32-22-200000000000000-11-1100000000i3−i3i3−i300000000
χ4622-2-2-2-222-12211-22-22-1112-2-22-2-2-1-2-2-122-1-12-1-10011-111-1-2-221111-1-1-111-1112-2-2-1-11111-1-12-1-1i3−i30000i3−i30000i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-22-22000000000000001-11-100000000−i3i3−i3i300000000
χ472-222-2-22-2222-2-2-22-22-222-222-2222-2-2-2-2-22222200-2-22-2-22-2-22-2-2-2-222-222-222-222-2-22222-2-2-2-2-200000000000000000000000000000000000000000000000000002-2-22000000000000002-2-2200000000000000000000
χ482-222-2-22-2222-2-2-22-22-222-222-2222-2-2-2-2-22222200-2-22-2-22-2-22-2-2-2-222-222-222-222-2-22222-2-2-2-2-20000000000000000000000000000000000000000000000000000-222-200000000000000-222-200000000000000000000
χ492-222-2-22-2-12211-22-221-1-1-222-222-1-2-21-2-2-1-12-1-10011-111-1-2-221111-1-11-1-11-1-1-22211-1-1-1-111-2113−30000−3300003−33−33−33−300003−33−33−33−3−33−33−33−330000−33−33−33−332-2-2200000000000000-111-1000000003−3−3300000000
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χ1374-44-4-44-444-2-2-4422-22-44-42-222-22-4-224-2-2-2-2111002-222-22-11-1-1-111-1-12-222-22-11-1-1-111-1-1-2-2111002i3−2i30000−2i32i3002i32i3−2i3−2i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−2i3−2i32i32i30000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1384-44-4-44-44-2442-2-4-44-42-22-44-4-44-424-4-244-2-24-2-2002-222-22-44-422-2-2222-222-22-44-422-2-222-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-44-4-44-44-24-22-2-4-4-222-22-44-42-22242-24-2-21-211002-22-11-12-22-1-111-1-12-22-11-12-22-1-111-1-1-21-21100000000000000003-3-3300003-33-3-33-330000-333-30000-33-333-33-3000000000000000000000000000000000000000000
χ1404-44-4-44-44-24-22-2-4-4-222-22-44-42-22242-24-2-21-211002-22-11-12-22-1-111-1-12-22-11-12-22-1-111-1-1-21-2110000000000000000-333-30000-33-333-33-300003-3-3300003-33-3-33-33000000000000000000000000000000000000000000
χ1414-44-4-44-44-2-242-2224-42-222-22-44-42-2-4-2-241-2-21100-11-12-222-22-1-111-1-1-11-12-222-22-1-111-1-11-2-21100−2i32i300002i3−2i300i3i3−i3−i30000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ1424-44-4-44-44-2-242-2224-42-222-22-44-42-2-4-2-241-2-21100-11-12-222-22-1-111-1-1-11-12-222-22-1-111-1-11-2-211002i3−2i30000−2i32i300−i3−i3i3i300002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1434-44-4-44-44-2-2-22-222-222-222-222-222-22-2-2-2111−1−3i32−1+3i3200-11-1-11-1-11-11+3i321−3i32−1−3i32−1+3i321+3i321−3i32-11-1-11-1-11-11+3i321−3i32−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i3200−2i32i300002i3−2i300i3i3−i3−i33-3-33i3−i3i3−i3−3−i323−i32−3+i323+i323−i32−3−i323+i32−3+i32−i3−i3i3i3-333-3−i3i3−i3i33+i32−3+i323−i32−3−i32−3+i323+i32−3−i323−i32000000000000000000000000000000000000000000
χ1444-44-4-44-44-2-2-22-222-222-222-222-222-22-2-2-2111−1−3i32−1+3i3200-11-1-11-1-11-11+3i321−3i32−1−3i32−1+3i321+3i321−3i32-11-1-11-1-11-11+3i321−3i32−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i32002i3−2i30000−2i32i300−i3−i3i3i3-333-3−i3i3−i3i33+i32−3+i323−i32−3−i32−3+i323+i32−3−i323−i32i3i3−i3−i33-3-33i3−i3i3−i3−3−i323−i32−3+i323+i323−i32−3−i323+i32−3+i32000000000000000000000000000000000000000000
χ1454-44-4-44-44-2-2-22-222-222-222-222-222-22-2-2-2111−1+3i32−1−3i3200-11-1-11-1-11-11−3i321+3i32−1+3i32−1−3i321−3i321+3i32-11-1-11-1-11-11−3i321+3i32−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i3200−2i32i300002i3−2i300i3i3−i3−i3-333-3i3−i3i3−i33−i32−3−i323+i32−3+i32−3−i323−i32−3+i323+i32−i3−i3i3i33-3-33−i3i3−i3i3−3+i323+i32−3−i323−i323+i32−3+i323−i32−3−i32000000000000000000000000000000000000000000
χ1464-44-4-44-44-2-2-22-222-222-222-222-222-22-2-2-2111−1+3i32−1−3i3200-11-1-11-1-11-11−3i321+3i32−1+3i32−1−3i321−3i321+3i32-11-1-11-1-11-11−3i321+3i32−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i32002i3−2i30000−2i32i300−i3−i3i3i33-3-33−i3i3−i3i3−3+i323+i32−3−i323−i323+i32−3+i323−i32−3−i32i3i3−i3−i3-333-3i3−i3i3−i33−i32−3−i323+i32−3+i32−3−i323−i32−3+i323+i32000000000000000000000000000000000000000000
χ1474-4-444-4-444-244-4-22-4-4-4-4422-2-4-44-4244-24-24-2-2-200-2224-4-4-222-2-2222222-2-4-4422-22222-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1484-4-444-4-444-2-24-4-2222-4-4422-222-2-42-24-2-2-2-211100-222-2221-1-111-1-1-1-122-222-2-1-11-1-1-1-111-2-21110000−2i32i300002i3−2i30000−2i3−2i32i32i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300002i32i3−2i3−2i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000000000000000
χ1494-4-444-4-444-2-24-4-2222-4-4422-222-2-42-24-2-2-2-211100-222-2221-1-111-1-1-1-122-222-2-1-11-1-1-1-111-2-211100002i3−2i30000−2i32i300002i32i3−2i3−2i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−2i3−2i32i32i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000000000000000
χ1504-4-444-4-44-244-224-4-4-422-2-4-44-4-442-44-244-2-24-2-200-222-2224-4-4-2-2222222-222-2-4-442222-2-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1514-4-444-4-44-24-2-224-42222-2-4-4422-22-4-2-24-2-21-21100-2221-1-1-22211-1-1-1-122-2-1-1122-2-1-1-1-111-21-2110000−2i32i300002i3−2i30000i3i3−i3−i3−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i32i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000000000000000
χ1524-4-444-4-44-24-2-224-42222-2-4-4422-22-4-2-24-2-21-21100-2221-1-1-22211-1-1-1-122-2-1-1122-2-1-1-1-111-21-21100002i3−2i30000−2i32i30000−i3−i3i3i32i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000000000000000
χ1534-4-444-4-44-2-24-22-22-4-422-222-2-4-44224-2-241-2-211001-1-1-222-22211-1-1-1-1-1-1122-222-2-1-1-1-1111-2-2110000000000003-3-33000000003-3-333-3-33-333-300000000-333-3-333-3000000000000000000000000000000000000000000
χ1544-4-444-4-44-2-24-22-22-4-422-222-2-4-44224-2-241-2-211001-1-1-222-22211-1-1-1-1-1-1122-222-2-1-1-1-1111-2-211000000000000-333-300000000-333-3-333-33-3-33000000003-3-333-3-33000000000000000000000000000000000000000000
χ1554-4-444-4-44-2-2-2-22-222222-222-222-222-2-2-2-2111−1−3i32−1+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+3i320000−2i32i300002i3−2i33-3-33i3i3−i3−i3i3i3−i3−i3−3−i323−i323−i32−3−i32−3+i323+i323+i32−3+i32-333-3−i3−i3i3i3−i3−i3i3i33+i32−3+i32−3+i323+i323−i32−3−i32−3−i323−i32000000000000000000000000000000000000000000
χ1564-4-444-4-44-2-2-2-22-222222-222-222-222-2-2-2-2111−1−3i32−1+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+3i3200002i3−2i30000−2i32i3-333-3−i3−i3i3i3−i3−i3i3i33+i32−3+i32−3+i323+i323−i32−3−i32−3−i323−i323-3-33i3i3−i3−i3i3i3−i3−i3−3−i323−i323−i32−3−i32−3+i323+i323+i32−3+i32000000000000000000000000000000000000000000
χ1574-4-444-4-44-2-2-2-22-222222-222-222-222-2-2-2-2111−1+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+3i32−1−3i320000−2i32i300002i3−2i3-333-3i3i3−i3−i3i3i3−i3−i33−i32−3−i32−3−i323−i323+i32−3+i32−3+i323+i323-3-33−i3−i3i3i3−i3−i3i3i3−3+i323+i323+i32−3+i32−3−i323−i323−i32−3−i32000000000000000000000000000000000000000000
χ1584-4-444-4-44-2-2-2-22-222222-222-222-222-2-2-2-2111−1+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+3i32−1−3i3200002i3−2i30000−2i32i33-3-33−i3−i3i3i3−i3−i3i3i3−3+i323+i323+i32−3+i32−3−i323−i323−i32−3−i32-333-3i3i3−i3−i3i3i3−i3−i33−i32−3−i32−3−i323−i323+i32−3+i32−3+i323+i32000000000000000000000000000000000000000000
χ1594-4-4-4444-44-2-244-2-2-2-2-4-4-42222224-2-2-422-2-21114i−4i-2-2-2-2-2-2111111111222222-1-1-1-1-1-1-1-1-122-1-1-14i4i−2i−2i−2i−2i−4i−4i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ1604-4-4-4444-44-2-244-2-2-2-2-4-4-42222224-2-2-422-2-2111−4i4i-2-2-2-2-2-2111111111222222-1-1-1-1-1-1-1-1-122-1-1-1−4i−4i2i2i2i2i4i4i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiii000000000000000000000000000000000000000000
χ1614-4-4-4444-4-24-2-2-244-2-2222-4-4-4222-24-22-42-21-2114i−4i-2-2-2111-2-2-2111111222-1-1-1222-1-1-1-1-1-12-12-1-1−2i−2i4i4i−2i−2i2i2i−4i−4i2i2i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ1624-4-4-4444-4-24-2-2-244-2-2222-4-4-4222-24-22-42-21-211−4i4i-2-2-2111-2-2-2111111222-1-1-1222-1-1-1-1-1-12-12-1-12i2i−4i−4i2i2i−2i−2i4i4i−2i−2i2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiiiiiii000000000000000000000000000000000000000000
χ1634-4-4-4444-4-2-24-2-2-2-244222222-4-4-4-2-2422-41-2-2114i−4i111-2-2-2-2-2-2111111-1-1-1222222-1-1-1-1-1-1-122-1-1−2i−2i−2i−2i4i4i2i2i2i2i−4i−4iiiii−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ1644-4-4-4444-4-2-24-2-2-2-244222222-4-4-4-2-2422-41-2-211−4i4i111-2-2-2-2-2-2111111-1-1-1222222-1-1-1-1-1-1-122-1-12i2i2i2i−4i−4i−2i−2i−2i−2i4i4i−i−i−i−i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiii000000000000000000000000000000000000000000
χ1654-4-4-4444-4-2-2-2-2-2-2-2-2-2222222222-2-2-2222111−1−3i32−1+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−2i−2i−2i2i2i2i2i2i2iiiiiiiiiiiii−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
χ1664-4-4-4444-4-2-2-2-2-2-2-2-2-2222222222-2-2-2222111−1−3i32−1+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+3i321−3i322i2i2i2i2i2i−2i−2i−2i−2i−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
χ1674-4-4-4444-4-2-2-2-2-2-2-2-2-2222222222-2-2-2222111−1+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−2i−2i−2i2i2i2i2i2i2iiiiiiiiiiiii2ζ7−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
χ1684-4-4-4444-4-2-2-2-2-2-2-2-2-2222222222-2-2-2222111−1+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+3i322i2i2i2i2i2i−2i−2i−2i−2i−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

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