Finite Group Databasebeta

← Group #13155656

Character table — Group #13155656

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order1222333446666666661212121233366666666612121212121212121212121288888888242424242424242424242424242424243666121212121212444444242424242424242424242424242424242424242424242424441212121212121212121212121212121244441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-11-11111-1-1-1-111-1-1-1111-1-1111-1-1-1-1-1-11111-111-1-1-1111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1-111-111-1-1ii−i−i1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−ii−iiiii−i−i−i−i1-11-111-1-11-1i−ii−i1-1i−i
χ101-11-11111-1-1-1-111-1-1-1111-1-1111-1-1-1-1-1-11111-111-1-1-1111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1-111-111-1-1ii−i−i-11111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−ii−iiiii−i−i−i−i-11-11-1-111-11−ii−ii-11−ii
χ111-11-11111-1-1-1-111-1-1-1111-1-1111-1-1-1-1-1-11111-111-1-1-1111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1-111-111-1-1−i−iii1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−ii−i−i−i−iiiii1-11-111-1-11-1−ii−ii1-1−ii
χ121-11-11111-1-1-1-111-1-1-1111-1-1111-1-1-1-1-1-11111-111-1-1-1111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1-111-111-1-1−i−iii-11111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−ii−i−i−i−iiiii-11-11-1-111-11i−ii−i-11i−i
χ131-11-11111-1-1-1-111-1-1-1111-1-1111-1-1-1-1-1-11111-111-1-1-1111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1-111-111-1-1−i−iii1-1-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−ii−i−i−i−iiiii1-11-111-1-1-11i−ii−i-11−ii
χ141-11-11111-1-1-1-111-1-1-1111-1-1111-1-1-1-1-1-11111-111-1-1-1111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1-111-111-1-1−i−iii-11-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−ii−i−i−i−iiiii-11-11-1-1111-1−ii−ii1-1i−i
χ151-11-11111-1-1-1-111-1-1-1111-1-1111-1-1-1-1-1-11111-111-1-1-1111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1-111-111-1-1ii−i−i1-1-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiii−iiiii−i−i−i−i1-11-111-1-1-11−ii−ii-11i−i
χ161-11-11111-1-1-1-111-1-1-1111-1-1111-1-1-1-1-1-11111-111-1-1-1111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1-111-111-1-1ii−i−i-11-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiii−iiiii−i−i−i−i-11-11-1-1111-1i−ii−i1-1−ii
χ172222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-2-2-2222200000000000000000000000000-2-222-2-222-2-2000000000000000000
χ182222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-2-2-2-2-2-2-20000000000000000000000000022-2-222-2-222000000000000000000
χ19222222-122222-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122220022-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ20222222-122222-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-1-2-2-2-20022-1-1-1-122-1-1-1-1-2-21111-2-21111-2-211111111000000000000000000
χ21222222-122222-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-200-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-211111111000000000000000000
χ22222222-122222-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1222200-2-21111-2-21111-2-21111-2-2111122-1-1-1-1-1-1-1-1000000000000000000
χ23222222-1-2-2222-12-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-211110000000033−3−333−3−333−3−333−3−3-1-1-1-1-2-211112222000033−3−30033−3−30033−3−30033−3−3-2-2-1-111-1-111000000000000000000
χ24222222-1-2-2222-12-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-211110000000033−3−333−3−3−3−333−3−333-1-1-1-1-2-21111-2-2-2-2000033−3−30033−3−300−3−33300−3−3332211-1-111-1-1000000000000000000
χ25222222-1-2-2222-12-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-2111100000000−3−333−3−33333−3−333−3−3-1-1-1-1-2-21111-2-2-2-20000−3−33300−3−3330033−3−30033−3−32211-1-111-1-1000000000000000000
χ26222222-1-2-2222-12-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-2111100000000−3−333−3−333−3−333−3−333-1-1-1-1-2-2111122220000−3−33300−3−33300−3−33300−3−333-2-2-1-111-1-111000000000000000000
χ2722222-122222-12-122-122222-12-1-1-122-1-12-1-1-12-1-122-1222-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000022000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-122-1-1-1-10022-1-10000
χ2822222-122222-12-122-122222-12-1-1-122-1-12-1-1-12-1-122-1222-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000011-2-2111100-2-2110000
χ2922222-122222-12-122-122222-12-1-1-122-1-12-1-1-12-1-122-1222-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000220000000000001111111111110000000000-1-122-1-1-1-100-2-2110000
χ3022222-122222-12-122-122222-12-1-1-122-1-12-1-1-12-1-122-1222-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-2000000000000111111111111000000000011-2-211110022-1-10000
χ312222-12222-1-1222222-12222-1-12-1-1-1-122-12-12-122-1-12-1-1-122222200002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000022-1-1-1-1-1-1220000-1-100
χ322222-12222-1-1222222-12222-1-12-1-1-1-122-12-12-122-1-12-1-1-122222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-2111111-2-200001100
χ332222-12222-1-1222222-12222-1-12-1-1-1-122-12-12-122-1-12-1-1-122-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1000022111111111111000000000000000000000022-1-1-1-1-1-1-2-200001100
χ342222-12222-1-1222222-12222-1-12-1-1-1-122-12-12-122-1-12-1-1-122-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-21111111111110000000000000000000000-2-2111111220000-1-100
χ3522-2-2222002-22-2-22-2-2-200002222-22-22-2-2-2-20000000000002−22−22−22−22−22−22−22−22−22−22−22−222-2-20000002-22-2002−22−22−22−22−22−22−22−22−22−22−22−2002-2002-200000000000000000000
χ3622-2-2222002-22-2-22-2-2-200002222-22-22-2-2-2-20000000000002−22−2−22−222−22−22−22−2−22−22−22−2222-2-2000000-22-22002−22−22−22−22−22−2−22−22−22−22−22−2200-2200-2200000000000000000000
χ3722-2-2222002-22-2-22-2-2-200002222-22-22-2-2-2-2000000000000−22−222−22−2−22−22−22−222−22−22−22−222-2-2000000-22-2200−22−22−22−22−22−222−22−22−22−22−22−200-2200-2200000000000000000000
χ3822-2-2222002-22-2-22-2-2-200002222-22-22-2-2-2-2000000000000−22−22−22−22−22−22−22−22−22−22−22−2222-2-20000002-22-200−22−22−22−22−22−22−22−22−22−22−22−22002-2002-200000000000000000000
χ3922-2-222-1002-221-2-11-2-23−33−32-1-12-2-11-1111-2003−33−3003−33−32−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23-1-111003−33−32-22-2002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300-113−3-113−3000000000000000000
χ4022-2-222-1002-221-2-11-2-23−33−32-1-12-2-11-1111-2003−33−3003−33−32−22−2−22−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23-1-111003−33−3-22-22002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23001-1−331-1−33000000000000000000
χ4122-2-222-1002-221-2-11-2-23−33−32-1-12-2-11-1111-2003−33−3003−33−3−22−222−22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23-1-111003−33−3-22-2200−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23001-1−331-1−33000000000000000000
χ4222-2-222-1002-221-2-11-2-23−33−32-1-12-2-11-1111-2003−33−3003−33−3−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23-1-111003−33−32-22-200−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300-113−3-113−3000000000000000000
χ4322-2-222-1002-221-2-11-2-2−33−332-1-12-2-11-1111-200−33−3300−33−332−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7-1-11100−33−332-22-2002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700-11−33-11−33000000000000000000
χ4422-2-222-1002-221-2-11-2-2−33−332-1-12-2-11-1111-200−33−3300−33−332−22−2−22−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7-1-11100−33−33-22-22002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7001-13−31-13−3000000000000000000
χ4522-2-222-1002-221-2-11-2-2−33−332-1-12-2-11-1111-200−33−3300−33−33−22−222−22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7-1-11100−33−33-22-2200−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7001-13−31-13−3000000000000000000
χ4622-2-222-1002-221-2-11-2-2−33−332-1-12-2-11-1111-200−33−3300−33−33−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7-1-11100−33−332-22-200−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700-11−33-11−33000000000000000000
χ472-22-2222-22-2-2-222-2-2-22-2-222222-2-2-2-2-2-2222-22-2-2222-2-2-2220000000000000000000000002-2-22-22-2-2222i2i−2i−2i00000000000000000000000000−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000
χ482-22-2222-22-2-2-222-2-2-22-2-222222-2-2-2-2-2-2222-22-2-2222-2-2-2220000000000000000000000002-2-22-22-2-222−2i−2i2i2i000000000000000000000000002i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000
χ492-22-222-12-2-2-2-2-1211-22-1-1112-1-1-2-21111-1-122-2-1-111-22-1-11122-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii-111-12-2-1-1112i2i−2i−2i0022-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2i−2i−i−i−i−iiiii000000000000000000
χ502-22-222-12-2-2-2-2-1211-22-1-1112-1-1-2-21111-1-122-2-1-111-22-1-11122-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i-111-12-2-1-111−2i−2i2i2i0022-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i−2i2iiiii−i−i−i−i000000000000000000
χ512-22-222-12-2-2-2-2-1211-22-1-1112-1-1-2-21111-1-122-2-1-111-22-1-111-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii-111-12-2-1-111−2i−2i2i2i00-2-2111122-1-1-1-12i2i−i−i−i−i−2i−2iiiii−2i2iiiii−i−i−i−i000000000000000000
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χ1094-44-4-24-24-422-4-2422-4-2-2-222-21-222-1-1221-2-242-2-2-1-1-4-2112244-4-40000-2-2-2-22222000000001-1-11-2211-1-1000000-2-2111122-1-1-1-10000000000000000000000000000000000000000
χ1104-44-4-24-24-422-4-2422-4-2-2-222-21-222-1-1221-2-242-2-2-1-1-4-21122-4-44400002222-2-2-2-2000000001-1-11-2211-1-100000022-1-1-1-1-2-211110000000000000000000000000000000000000000
χ1114-44-4-24-2-4422-4-2422-4-222-2-2-21-222-1-1221-2-2-4-2221142-1-1-2-2000000002323−23−23−23−232323000000001-1-112-2-1-11100000000−3−3330033−3−30000000000000000000000000000000000000000
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χ1134-44-4-2-244-42224-2-4-42-244-4-41-2-2-1-12222-2-21-22-2-2222-2-2-2220000000000000000000000001-1-111-111-1-100004-40000000000000000000000000000000000-22-2211-1-10000000000
χ1144-44-4-2-244-42224-2-4-42-244-4-41-2-2-1-12222-2-21-22-2-2222-2-2-2220000000000000000000000001-1-111-111-1-10000-4400000000000000000000000000000000002-22-2-1-1110000000000
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χ1164-44-4-2-24-442224-2-4-42-2-4-4441-2-2-1-12222-2-212-222-2-2-2222-2-20000000000000000000000001-1-11-11-1-11100000000000000000000000000000000000000000000-333-30000000000
χ1174-4-444-2400-442-42-44-2-40000-24-22-2-442-2-4220000000000000000−2i22i22i2−2i200000000−2i22i2−2i22i22i2−2i22i2−2i2-22-22000000000000000000000000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20000000000000000000000000000
χ1184-4-444-2400-442-42-44-2-40000-24-22-2-442-2-42200000000000000002i2−2i2−2i22i2000000002i2−2i22i2−2i2−2i22i2−2i22i2-22-22000000000000000000000000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20000000000000000000000000000
χ1194-4-444-2-200-442222-2-2-423−23−2323-2-212-22-2-112-1200−33−23230023−233−30000−2i22i22i2−2i2000000002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71-11-100−333−3000000000000000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000000000000000
χ1204-4-444-2-200-442222-2-2-423−23−2323-2-212-22-2-112-1200−33−23230023−233−300002i2−2i2−2i22i200000000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71-11-100−333−3000000000000000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000000000000000
χ1214-4-444-2-200-442222-2-2-4−232323−23-2-212-22-2-112-12003−323−2300−2323−330000−2i22i22i2−2i2000000002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ231-11-1003−3−33000000000000000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000000000000000
χ1224-4-444-2-200-442222-2-2-4−232323−23-2-212-22-2-112-12003−323−2300−2323−3300002i2−2i2−2i22i200000000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ231-11-1003−3−33000000000000000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000000000000000
χ1234-4-44-244002-2-4-4-4-44420000-2-242-22-2-442-4200000000000022−22−2222000022−2222−22−2222−222200000000-22-22000000000000−22−22−222−22−22−20000000000000000000000000000000000000000
χ1244-4-44-244002-2-4-4-4-44420000-2-242-22-2-442-42000000000000−222222−220000−2222−222222−2222−2200000000-22-220000000000002−22−22−2−22−22−220000000000000000000000000000000000000000
χ1254-4-44-24-2002-2-42-42-24223−23−2323-21-22-2-112-2-1220023−233−300−33−232322−22−222200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000001-11-100−333−3000000−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000000000000000000000000000
χ1264-4-44-24-2002-2-42-42-24223−23−2323-21-22-2-112-2-1220023−233−300−33−2323−222222−220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000001-11-100−333−30000002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000000000000000000000000000
χ1274-4-44-24-2002-2-42-42-242−232323−23-21-22-2-112-2-12200−2323−33003−323−2322−22−222200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000001-11-1003−3−33000000−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000000000000000000000000000
χ1284-4-44-24-2002-2-42-42-242−232323−23-21-22-2-112-2-12200−2323−33003−323−23−222222−220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000001-11-1003−3−330000002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000000000000000000000000000
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χ1308888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444422222222222244-2-2-2-244-2-2-2-2000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ13188-8-8-4-4800-44-4-848-84400002-4-42-2-44-4444-200000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8-4-4-400-44-444-444443−4343−432222-22-22-2-2-2-200−2323−232300−2323−2323000000000000000000000000-1-111003−33−30000000000000000000000000000000000000000000000000000000000
χ13388-8-8-4-4-400-44-444-4444−4343−43432222-22-22-2-2-2-20023−2323−230023−2323−23000000000000000000000000-1-11100−33−330000000000000000000000000000000000000000000000000000000000
χ1348-88-8-4-4-48-8444-4-4444-4-4-444222-2-2-2-2-2-2222-4422-2-24-422-2-2000000000000000000000000-111-12-2-1-1110000000000000000000000000000000000000000000000000000000000
χ1358-88-8-4-4-4-88444-4-4444-444-4-4222-2-2-2-2-2-22224-4-2-222-44-2-222000000000000000000000000-111-1-2211-1-10000000000000000000000000000000000000000000000000000000000
χ1368-8-88-4-48004-44-84-88-4400002-4-4-224-44-444-20000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4-4-4004-44444-4-4443−43−4343222-22-22-22-2-2-200−232323−2300−232323−23000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-4-4004-44444-4-44−434343−43222-22-22-22-2-2-20023−23−23230023−23−2323000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000

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