Finite Group Databasebeta

← Group #13155662

Character table — Group #13155662

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order1222333446666666661212121244443336666666661212121212121212121212124488881212121212121212121212122424242424242424366612121212121244121212121212121212121212121224242424242424242424242488882424242424242424121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ91-11-1111-11-11-1-1-1-1-111-1-111ii−i−i111-1-1-1111-1-1-111-11111-1-1-1-1-1i−iii−i−iiiiiii−i−i−i−i−i−iiiii−i−i−i−i1-1-111-111-1-1i−ii−iii−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i11-1-11111-1-1-1-1i−iii−i−i1-11-111-1-11-1i−i
χ101-11-1111-11-11-1-1-1-1-111-1-111ii−i−i111-1-1-1111-1-1-111-11111-1-1-1-1-1i−iii−i−iiiiiii−i−i−i−i−i−iiiii−i−i−i−i1-1-111-111-1-1−iii−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i11-1-11111-1-1-1-1−ii−i−iii-11-11-1-111-11−ii
χ111-11-1111-11-11-1-1-1-1-111-1-111ii−i−i111-1-1-1111-1-1-111-11111-1-1-1-1-1i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii1-1-111-111-1-1i−ii−iii−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiii-1-111-1-1-1-11111i−iii−i−i1-1-1111-1-1-11−ii
χ121-11-1111-11-11-1-1-1-1-111-1-111ii−i−i111-1-1-1111-1-1-111-11111-1-1-1-1-1i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii1-1-111-111-1-1−iii−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−iiiiiii-1-111-1-1-1-11111−ii−i−iii-111-1-1-1111-1i−i
χ131-11-1111-11-11-1-1-1-1-111-1-111−i−iii111-1-1-1111-1-1-111-11111-1-1-1-1-1−iiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i1-1-111-111-1-1i−i−iiii−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i-1-111-1-1-1-11111i−iii−i−i-111-1-1-1111-1−ii
χ141-11-1111-11-11-1-1-1-1-111-1-111−i−iii111-1-1-1111-1-1-111-11111-1-1-1-1-1−iiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i1-1-111-111-1-1−ii−ii−i−iii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i-1-111-1-1-1-11111−ii−i−iii1-1-1111-1-1-11i−i
χ151-11-1111-11-11-1-1-1-1-111-1-111−i−iii111-1-1-1111-1-1-111-11111-1-1-1-1-1−ii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−iiiii1-1-111-111-1-1i−i−iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiii11-1-11111-1-1-1-1i−iii−i−i-11-11-1-111-11i−i
χ161-11-1111-11-11-1-1-1-1-111-1-111−i−iii111-1-1-1111-1-1-111-11111-1-1-1-1-1−ii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−iiiii1-1-111-111-1-1−ii−ii−i−iii−i−i−i−iiiii−i−i−i−i−i−iiiiiii11-1-11111-1-1-1-1−ii−i−iii1-11-111-1-11-1−ii
χ172222222-2-2222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222-2-22222-2-2000000002222-2-2-2-2-2-200-2-2000022-2-222-2-2000000000000000000000000000000000000000000
χ182222222-2-2222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-222-2-2-2-222000000002222-2-2-2-2-2-200220000-2-222-2-222000000000000000000000000000000000000000000
χ19222222-1222222-12-12-1222222222-1-122-12-1-1-1-1-12-1-122-1-1-1-122222000022-1-12222-1-12200000000-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-12200-1-1-1-10000
χ20222222-1222222-12-12-1222222222-1-122-12-1-1-1-1-12-1-122-1-1-1-122222000022-1-12222-1-12200000000-1-1-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-1-1-1-1-1-1000000000000000000000000-2-21111-2-20011110000
χ21222222-1222222-12-12-12222-2-2-2-22-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-2-20000-2-211-2-2-2-211-2-200000000-1-1-1-1-1-1-1-1-1-12211-1-1-1-11111111100000000000000000000000022-1-1-1-1-2-20011110000
χ22222222-1222222-12-12-12222-2-2-2-22-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-2-20000-2-211-2-2-2-211-2-200000000-1-1-1-1-1-1-1-1-1-1-2-211111111111111000000000000000000000000-2-211112200-1-1-1-10000
χ23222222-1-2-22222-12-12-1-2-2-2-222222-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-2-2000022-1-1-2-222-1-1-2-200000000-1-1-1-11111110011−i3i3−i3i3-1-111-1-11100000000000000000000000000−i3i3−i3i30000−i3i3−i3i30000
χ24222222-1-2-22222-12-12-1-2-2-2-222222-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-2-2000022-1-1-2-222-1-1-2-200000000-1-1-1-11111110011i3−i3i3−i3-1-111-1-11100000000000000000000000000i3−i3i3−i30000i3−i3i3−i30000
χ25222222-1-2-22222-12-12-1-2-2-2-2-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2220000-2-21122-2-2112200000000-1-1-1-111111100-1-1−i3i3−i3i311-1-111-1-100000000000000000000000000−i3i3−i3i30000i3−i3i3−i30000
χ26222222-1-2-22222-12-12-1-2-2-2-2-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2220000-2-21122-2-2112200000000-1-1-1-111111100-1-1i3−i3i3−i311-1-111-1-100000000000000000000000000i3−i3i3−i30000−i3i3−i3i30000
χ2722222-12222-1-1-122222-1-1-1-12222-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-1222222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100220000-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ2822222-12222-1-1-122222-1-1-1-12222-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-122-2-2-2-2-1-122-1-1-1-122-1-111111111-1-1-1-122-1-1-1-100220000-1-1-1-1-1-1-1-1-2-21111-2-21111-2-2-2-211111111000000000000000000
χ2922222-12222-1-1-122222-1-1-1-1-2-2-2-2-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-1-2-2222211-2-21111-2-211-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100-2-200001111111122-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000000000
χ3022222-12222-1-1-122222-1-1-1-1-2-2-2-2-12-1-1-12-12-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-2-211-2-21111-2-21111111111-1-1-1-122-1-1-1-100-2-2000011111111-2-21111-2-211112222-1-1-1-1-1-1-1-1000000000000000000
χ3122222-12-2-22-1-1-12222211112222-12-1-1-12-12-1-1-12-2-2-2111111-211-2-20000-1-12211-1-1221133−3−333−3−3-1-1-1-1-2-2111100-2-20000-1-111-1-1110033−3−30033−3−3000033−3−333−3−3000000000000000000
χ3222222-12-2-22-1-1-12222211112222-12-1-1-12-12-1-1-12-2-2-2111111-211-2-20000-1-12211-1-12211−3−333−3−333-1-1-1-1-2-2111100-2-20000-1-111-1-11100−3−33300−3−3330000−3−333−3−333000000000000000000
χ3322222-12-2-22-1-1-1222221111-2-2-2-2-12-1-1-12-12-1-1-12-2-2-2111111-21122000011-2-2-1-111-2-2-1-133−3−333−3−3-1-1-1-1-2-211110022000011-1-111-1-10033−3−30033−3−30000−3−333−3−333000000000000000000
χ3422222-12-2-22-1-1-1222221111-2-2-2-2-12-1-1-12-12-1-1-12-2-2-2111111-21122000011-2-2-1-111-2-2-1-1−3−333−3−333-1-1-1-1-2-211110022000011-1-111-1-100−3−33300−3−333000033−3−333−3−3000000000000000000
χ352222-12222-12222-12-1222220000-1-12-1-1-1-1-1222-1-122-1-12222-1-1-100222200000000000022222222-1-1-1-1-1-1-1-1-1-12200222200000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-100220000-1-100
χ362222-12222-12222-12-1222220000-1-12-1-1-1-1-1222-1-122-1-12222-1-1-100222200000000000022222222-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-100000000000011111100-2-200001100
χ372222-12222-12222-12-1222220000-1-12-1-1-1-1-1222-1-122-1-12222-1-1-100-2-2-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-12200222200000000111111111111000000000000-1-1-1-1-1-100-2-200001100
χ382222-12222-12222-12-1222220000-1-12-1-1-1-1-1222-1-122-1-12222-1-1-100-2-2-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20000000011111111111100000000000011111100220000-1-100
χ3922-2-2222002-22-22-2-2-2-200002-22-22222-22-2-2-22-2-2000000000000002−22−22-22-2002-22-2002−22−22−22−222-2-2000000000000002-2002-2002−22−22−22−22−22−22−22−22−22−22−22−2000000000000000000
χ4022-2-2222002-22-22-2-2-2-200002-22-22222-22-2-2-22-2-200000000000000−22−222-22-2002-22-200−22−22−22−2222-2-2000000000000002-2002-200−22−22−22−22−22−22−22−22−22−22−22−22000000000000000000
χ4122-2-2222002-22-22-2-2-2-20000-22-222222-22-2-2-22-2-2000000000000002−22−2-22-2200-22-22002−22−22−22−222-2-200000000000000-2200-22002−22−22−22−22−22−2−22−22−22−22−22−22000000000000000000
χ4222-2-2222002-22-22-2-2-2-20000-22-222222-22-2-2-22-2-200000000000000−22−22-22-2200-22-2200−22−22−22−2222-2-200000000000000-2200-2200−22−22−22−22−22−222−22−22−22−22−22−2000000000000000000
χ4322-2-22-120021-112-2-2-2-23−33−32-22-2-12-1-1121-21-11-20003−33−33−303−3002−22−2-112-23−3-112-23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23-1-111003−33−300000000-113−3-113−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000000000
χ4422-2-22-120021-112-2-2-2-23−33−32-22-2-12-1-1121-21-11-20003−33−33−303−300−22−22-112-23−3-112-23−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23-1-111003−33−300000000-113−3-113−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000000000
χ4522-2-22-120021-112-2-2-2-23−33−3-22-22-12-1-1121-21-11-20003−33−33−303−3002−22−21-1-22−331-1-22−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23-1-111003−33−3000000001-1−331-1−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000000000
χ4622-2-22-120021-112-2-2-2-23−33−3-22-22-12-1-1121-21-11-20003−33−33−303−300−22−221-1-22−331-1-22−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23-1-111003−33−3000000001-1−331-1−33−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000000000
χ4722-2-22-120021-112-2-2-2-2−33−332-22-2-12-1-1121-21-11-2000−33−33−330−33002−22−2-112-2−33-112-2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7-1-11100−33−3300000000-11−33-11−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000000000
χ4822-2-22-120021-112-2-2-2-2−33−332-22-2-12-1-1121-21-11-2000−33−33−330−3300−22−22-112-2−33-112-2−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7-1-11100−33−3300000000-11−33-11−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000000000
χ4922-2-22-120021-112-2-2-2-2−33−33-22-22-12-1-1121-21-11-2000−33−33−330−33002−22−21-1-223−31-1-223−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7-1-11100−33−33000000001-13−31-13−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000000000
χ5022-2-22-120021-112-2-2-2-2−33−33-22-22-12-1-1121-21-11-2000−33−33−330−3300−22−221-1-223−31-1-223−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7-1-11100−33−33000000001-13−31-13−3−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000000000
χ512-22-22222-2-22-2-2-2-2-22222-2-22i2i−2i−2i222-2-2-2222-2-2-2-2-22-2-2-2-222222−2i2i00002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i000000002-2-22-22-2-22200−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000
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χ1104-44-44-2-24-4-4-2222-424-2-2-2224i4i−4i−4i-2-21222-2-21-1-12-42-222-1-1114-2-2−4i4i0000−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i000000001-1-112-2-1-111002i−2i0000ii−i−i−i−iii000000000000000000000000000000000000000000
χ1114-44-44-2-24-4-4-2222-424-2-2-222−4i−4i4i4i-2-21222-2-21-1-12-42-222-1-1114-2-24i−4i00002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i000000001-1-112-2-1-11100−2i2i0000−i−iiiii−i−i000000000000000000000000000000000000000000
χ1124-44-44-2-2-44-4-2222-424-222-2-24i4i−4i−4i-2-21222-2-21-1-124-22-2-211-1-1-4224i−4i0000−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i000000001-1-11-2211-1-100−2i2i0000iiii−i−i−i−i000000000000000000000000000000000000000000
χ1134-44-44-2-2-44-4-2222-424-222-2-2−4i−4i4i4i-2-21222-2-21-1-124-22-2-211-1-1-422−4i4i00002i2i2i2i2i2i−2i−2i−2i−2i−2i−2i000000001-1-11-2211-1-1002i−2i0000−i−i−i−iiiii000000000000000000000000000000000000000000
χ1144-44-4-2444-424-4-4-42-4-2444-4-40000-2-24222-2-24-4-422-4422-4-444-2-2-200000000000000000000000000-222-22-222-2-20000000000000000000000000000000000000000000000000000000000
χ1154-44-4-24-24-424-4-4222-2-244-4-40000-21-222-1-21-222-122-22222-2-2-2-2-2000000000000000000000000001-1-11-11-1-111000023−23−23230000000000000000000000000000000000−333−3000000000000
χ1164-44-4-24-24-424-4-4222-2-244-4-40000-21-222-1-21-222-122-22222-2-2-2-2-2000000000000000000000000001-1-11-11-1-1110000−232323−2300000000000000000000000000000000003−3−33000000000000
χ1174-44-4-24-2-4424-4-4222-2-2-4-4440000-21-222-1-21-222-1-2-22-2-2-2-222222000000000000000000000000001-1-111-111-1-14i−4i00−2i−2i2i2i00000000000000000000000000000000−2i2iii−i−i000000000000
χ1184-44-4-24-2-4424-4-4222-2-2-4-4440000-21-222-1-21-222-1-2-22-2-2-2-222222000000000000000000000000001-1-111-111-1-1−4i4i002i2i−2i−2i000000000000000000000000000000002i−2i−i−iii000000000000
χ1194-44-4-2-244-42-222-42-4-24-2-22200001-2-2-1-121-2-22222-44-1-122-2-2-211000000000000000000−2i3−2i32i32i32i32i3−2i3−2i31-1-112-2-1-111000000000000000000i3i3−i3−i300−i3−i3i3i3000000000000000000000000000000
χ1204-44-4-2-244-42-222-42-4-24-2-22200001-2-2-1-121-2-22222-44-1-122-2-2-2110000000000000000002i32i3−2i3−2i3−2i3−2i32i32i31-1-112-2-1-111000000000000000000−i3−i3i3i300i3i3−i3−i3000000000000000000000000000000
χ1214-44-4-2-24-442-222-42-4-2422-2-200001-2-2-1-121-2-2222-24-411-2-2222-1-1004i4i−4i−4i000000000000−2i−2i−2i−2i2i2i2i2i1-1-11-2211-1-10000000000000000−2i−2iiiii2i2i−i−i−i−i000000000000000000000000000000
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χ1234-4-4444-200-4-4-4424-2-4200004i−4i−4i4i4-2-2-442-4222-2-20000000000000000004i−4i−2i2i00−4i4i2i−2i0000000000-22-2200000000000000−2i2i002i−2i00000000000000000000000000000000000000000000
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χ1254-4-444-2-200-422-224-2-4223−23−23234i−4i−4i4i-2-212-2222-1-11-2000−23233−3−33023−23000000−2i2i−2i2i−2i32i32i−2i2i−2i2i3−2i3000000001-11-1003−3−3300000000i−ii3−i3−ii−i3i3000000000000000000000000000000000000000000
χ1264-4-444-2-200-422-224-2-4223−23−2323−4i4i4i−4i-2-212-2222-1-11-2000−23233−3−33023−230000002i−2i2i−2i2i3−2i3−2i2i−2i2i−2i32i3000000001-11-1003−3−3300000000−ii−i3i3i−ii3−i3000000000000000000000000000000000000000000
χ1274-4-444-2-200-422-224-2-42−232323−234i−4i−4i4i-2-212-2222-1-11-200023−23−333−30−2323000000−2i2i−2i2i2i3−2i32i−2i2i−2i−2i32i3000000001-11-100−333−300000000i−i−i3i3−iii3−i3000000000000000000000000000000000000000000
χ1284-4-444-2-200-422-224-2-42−232323−23−4i4i4i−4i-2-212-2222-1-11-200023−23−333−30−23230000002i−2i2i−2i−2i32i3−2i2i−2i2i2i3−2i3000000001-11-100−333−300000000−iii3−i3i−i−i3i3000000000000000000000000000000000000000000
χ1294-4-44-244002-4-44-4-242-400000000-2-242-2222-4-44-200000000000000−2i22i22i2−2i2000000000000−2i22i2−2i22i22i2−2i22i2−2i2-22-220000000000000000000000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2000000000000000000000000000000
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χ1314-4-44-2-2400222-2-4-242-423−23−232300001-2-2-112-1222-2-20003−3−232323−230−3300−2i22i22i2−2i20000000000002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ231-11-1003−3−330000000000000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000000000000000
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χ1344-4-44-2-2400222-2-4-242-4−232323−2300001-2-2-112-1222-2-2000−3323−23−232303−3002i2−2i2−2i22i2000000000000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71-11-100−333−30000000000000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000000000000000000000
χ1358888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-40000222222222222-4-4-4222222-42200000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1368888-4-4-4-8-8-4-4-4-4-4-4-4-4-444440000222222222222444-2-2-2-2-2-24-2-200000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ13788-8-8-48-400-4-88-8-4444400000000-42-4-4424-24-44-20000000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-4-400-44-44-4444443−4343−4300002222-22-2-2-22-2-2000−2323−2323−23230−232300000000000000000000000000-1-111003−33−30000000000000000000000000000000000000000000000000000000000
χ13988-8-8-4-4-400-44-44-44444−4343−434300002222-22-2-2-22-2-200023−2323−2323−23023−2300000000000000000000000000-1-11100−33−330000000000000000000000000000000000000000000000000000000000
χ1408-88-8-4-4-48-84-444444-4-4-4-4440000222-2-2-2222-2-2-244-4-2-2-2-222-42200000000000000000000000000-111-1-2211-1-10000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-4-4-884-444444-4-444-4-40000222-2-2-2222-2-2-2-4-442222-2-24-2-200000000000000000000000000-111-12-2-1-1110000000000000000000000000000000000000000000000000000000000
χ1428-8-88-48-4004-8-884-4-44400000000-42-44-4-24-244-42000000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-400444-44-4-44443−43−43430000222-22-2-2-2-2-22200023−2323−23−23230−232300000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-400444-44-4-444−434343−430000222-22-2-2-2-2-222000−2323−232323−23023−2300000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.