Finite Group Databasebeta

← Group #13155649

Character table — Group #13155649

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order1222333446666666661212121233366666666612121212121212121212121288888888242424242424242424242424242424243666121212121212444444242424242424242424242424242424242424242424242424441212121212121212121212121212121244441212121222
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
χ91-11-11111-1-111-1-1-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-11-111-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1-111-111-1-1ii−i−ii−iiiiiii−i−i−i−i−i−i111111-1-1-1-1-1-1i−iiiii−i−i−i−iii−i−iii−i−i1-1i−ii−i1-11-1
χ101-11-11111-1-111-1-1-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-11-111-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1-111-111-1-1ii−i−i−iiiiiiii−i−i−i−i−i−i111111-1-1-1-1-1-1i−iiiii−i−i−i−i−i−iii−i−iii-11−ii−ii-11-11
χ111-11-11111-1-111-1-1-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-1-111-111-1-1−i−iiii−iiiiiii−i−i−i−i−i−i-1-1-1-1-1-1111111−ii−i−i−i−iiiiiii−i−iii−i−i1-1−ii−ii1-1-11
χ121-11-11111-1-111-1-1-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-1-111-111-1-1−i−iii−iiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1111111−ii−i−i−i−iiiii−i−iii−i−iii-11i−ii−i-111-1
χ131-11-11111-1-111-1-1-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-11-111-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-1-111-111-1-1−i−iiii−i−i−i−i−i−i−iiiiiii111111-1-1-1-1-1-1−ii−i−i−i−iiiiiii−i−iii−i−i-11i−ii−i-11-11
χ141-11-11111-1-111-1-1-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-11-111-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-1-111-111-1-1−i−iii−ii−i−i−i−i−i−iiiiiii111111-1-1-1-1-1-1−ii−i−i−i−iiiii−i−iii−i−iii1-1−ii−ii1-11-1
χ151-11-11111-1-111-1-1-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-1-111-111-1-1ii−i−ii−i−i−i−i−i−i−iiiiiii-1-1-1-1-1-1111111i−iiiii−i−i−i−iii−i−iii−i−i-11−ii−ii-111-1
χ161-11-11111-1-111-1-1-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-1-111-111-1-1ii−i−i−ii−i−i−i−i−i−iiiiiii-1-1-1-1-1-1111111i−iiiii−i−i−i−i−i−iii−i−iii1-1i−ii−i1-1-11
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
χ19222222-12222-122-1-122-1-1-1-12-1-12-1-1-1-12-1-1222-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122220022-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ20222222-12222-122-1-122-1-1-1-12-1-12-1-1-1-12-1-1222-1-1-1-122-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-1-2-2-2-20022-1-1-1-122-1-1-1-1-2-21111-2-21111-2-211111111000000000000000000
χ21222222-12222-122-1-122-1-1-1-12-1-12-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-200-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-211111111000000000000000000
χ22222222-12222-122-1-122-1-1-1-12-1-12-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1222200-2-21111-2-21111-2-21111-2-2111122-1-1-1-1-1-1-1-1000000000000000000
χ23222222-1-2-222-122-1-12211112-1-12-1-1-1-12-1-12-2-21111-2-211110000000033−3−333−3−333−3−333−3−3-1-1-1-1-2-211112222000033−3−30033−3−30033−3−30033−3−3-2-2-1-111-1-111000000000000000000
χ24222222-1-2-222-122-1-12211112-1-12-1-1-1-12-1-12-2-21111-2-211110000000033−3−333−3−3−3−333−3−333-1-1-1-1-2-21111-2-2-2-2000033−3−30033−3−300−3−33300−3−3332211-1-111-1-1000000000000000000
χ25222222-1-2-222-122-1-12211112-1-12-1-1-1-12-1-12-2-21111-2-2111100000000−3−333−3−33333−3−333−3−3-1-1-1-1-2-21111-2-2-2-20000−3−33300−3−3330033−3−30033−3−32211-1-111-1-1000000000000000000
χ26222222-1-2-222-122-1-12211112-1-12-1-1-1-12-1-12-2-21111-2-2111100000000−3−333−3−333−3−333−3−333-1-1-1-1-2-2111122220000−3−33300−3−33300−3−33300−3−333-2-2-1-111-1-111000000000000000000
χ2722222-12222-122-122-122222-12-1-122-1-1-12-1-1-1222-1-1-12-1-122000022220000000022222222-1-1-1-1-1-1-1-1-1-1000022000000000000-1-1-1-1-1-1-1-1-1-1-1-100000000002-12-1-1-1-1-10022-1-10000
χ2822222-12222-122-122-122222-12-1-122-1-1-12-1-1-1222-1-1-12-1-122000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000-21-21111100-2-2110000
χ2922222-12222-122-122-122222-12-1-122-1-1-12-1-1-1222-1-1-12-1-1220000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100002200000000000011111111111100000000002-12-1-1-1-1-100-2-2110000
χ3022222-12222-122-122-122222-12-1-122-1-1-12-1-1-1222-1-1-12-1-1220000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-20000000000001111111111110000000000-21-2111110022-1-10000
χ312222-12222-122-12222-12222-1-12-1-1-122-1-12-12-1-1-1222-122-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-12-12-1-1-1-1220000-1-100
χ322222-12222-122-12222-12222-1-12-1-1-122-1-12-12-1-1-1222-122-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000001-21-21111-2-200001100
χ332222-12222-122-12222-12222-1-12-1-1-122-1-12-12-1-1-1222-122-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000221111111111110000000000000000000000-12-12-1-1-1-1-2-200001100
χ342222-12222-122-12222-12222-1-12-1-1-122-1-12-12-1-1-1222-122-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-211111111111100000000000000000000001-21-21111220000-1-100
χ3522-2-222200-2-2-2222-2-2-20000222-22-22-2-2-2-22000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i222-2-20000002-22-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-2002-200000000000000000000
χ3622-2-222200-2-2-2222-2-2-20000222-22-22-2-2-2-22000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i222-2-2000000-22-2200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200-2200-2200000000000000000000
χ3722-2-222200-2-2-2222-2-2-20000222-22-22-2-2-2-22000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i222-2-2000000-22-2200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200-2200-2200000000000000000000
χ3822-2-222200-2-2-2222-2-2-20000222-22-22-2-2-2-22000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i222-2-20000002-22-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-2002-200000000000000000000
χ3922-2-222-100-2-2122-11-2-23−33−32-1-1-2-11-11-2112003−33−3003−33−3−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-1-111003−33−32-22-200−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300-113−3-113−3000000000000000000
χ4022-2-222-100-2-2122-11-2-23−33−32-1-1-2-11-11-2112003−33−3003−33−3−i2i2−i2i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-1-111003−33−3-22-2200−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23001-1−331-1−33000000000000000000
χ4122-2-222-100-2-2122-11-2-23−33−32-1-1-2-11-11-2112003−33−3003−33−3i2−i2i2−i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-1-111003−33−3-22-2200i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23001-1−331-1−33000000000000000000
χ4222-2-222-100-2-2122-11-2-23−33−32-1-1-2-11-11-2112003−33−3003−33−3i2−i2i2−i2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-1-111003−33−32-22-200i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300-113−3-113−3000000000000000000
χ4322-2-222-100-2-2122-11-2-2−33−332-1-1-2-11-11-211200−33−3300−33−33−i2i2−i2i2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-1-11100−33−332-22-200−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700-11−33-11−33000000000000000000
χ4422-2-222-100-2-2122-11-2-2−33−332-1-1-2-11-11-211200−33−3300−33−33−i2i2−i2i2i2−i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-1-11100−33−33-22-2200−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7001-13−31-13−3000000000000000000
χ4522-2-222-100-2-2122-11-2-2−33−332-1-1-2-11-11-211200−33−3300−33−33i2−i2i2−i2−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-1-11100−33−33-22-2200i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7001-13−31-13−3000000000000000000
χ4622-2-222-100-2-2122-11-2-2−33−332-1-1-2-11-11-211200−33−3300−33−33i2−i2i2−i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-1-11100−33−332-22-200i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700-11−33-11−33000000000000000000
χ472-22-2222-22-222-2-2-2-2-22-2-222222-2-2-2-2-2222-22-2-2-222-22-2-2220000000000000000000000002-2-22-22-2-2222i2i−2i−2i00000000000000000000000000−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000
χ482-22-2222-22-222-2-2-2-2-22-2-222222-2-2-2-2-2222-22-2-2-222-22-2-2220000000000000000000000002-2-22-22-2-222−2i−2i2i2i000000000000000000000000002i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000
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χ1044-44-44-2-24-4-4-2-2-422224-2-222-2-21222-1-1-2-21224-2-2-1-1-2-41122000044-4-400000000-2-2-2-222221-1-11-2211-1-1000000000000000000-2-2111122-1-1-1-10000000000000000000000000000
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χ1064-44-44-2-2-44-4-2-2-42222422-2-2-2-21222-1-1-2-212-2-4221124-1-1-2-200000000000000002323−23−23−23−2323231-1-112-2-1-11100000000000000000000−3−3330033−3−30000000000000000000000000000
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χ1084-44-4-244-442442-4-4-4-4-2-4-444-2-24222-4-4-2-242422244-4-2-4-4-2-2000000000000000000000000-222-22-222-2-20000000000000000000000000000000000000000000000000000000000
χ1094-44-4-24-24-424-22-422-4-2-2-222-21-22-1-122-21-22-4-2112242-2-2-1-14i4i−4i−4i0000−2i−2i−2i−2i2i2i2i2i000000001-1-11-2211-1-1000000−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000000000
χ1104-44-4-24-24-424-22-422-4-2-2-222-21-22-1-122-21-22-4-2112242-2-2-1-1−4i−4i4i4i00002i2i2i2i−2i−2i−2i−2i000000001-1-11-2211-1-10000002i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000000000
χ1114-44-4-24-2-4424-22-422-4-222-2-2-21-22-1-122-21-2242-1-1-2-2-4-2221100000000−2i3−2i32i32i32i32i3−2i3−2i3000000001-1-112-2-1-11100000000i3i3−i3−i300−i3−i3i3i30000000000000000000000000000000000000000
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χ1134-44-4-2-244-42-2422-4-42-244-4-41-2-2-122221-2-2-12-2-2-222-22-2-2220000000000000000000000001-1-111-111-1-100004i−4i0000000000000000000000000000000000−2i−2i2i2iii−i−i0000000000
χ1144-44-4-2-244-42-2422-4-42-244-4-41-2-2-122221-2-2-12-2-2-222-22-2-2220000000000000000000000001-1-111-111-1-10000−4i4i00000000000000000000000000000000002i2i−2i−2i−i−iii0000000000
χ1154-44-4-2-24-442-2422-4-42-2-4-4441-2-2-122221-2-2-1-2222-2-22-222-2-20000000000000000000000001-1-11-11-1-111000000000000000000000000000000000000000000003i−3i−3i3i0000000000
χ1164-44-4-2-24-442-2422-4-42-2-4-4441-2-2-122221-2-2-1-2222-2-22-222-2-20000000000000000000000001-1-11-11-1-11100000000000000000000000000000000000000000000−3i3i3i−3i0000000000
χ1174-4-444-240042-4-42-44-2-40000-24-2-2-442-22-4220000000000000000−2i22i22i2−2i200000000−2i22i2−2i22i22i2−2i22i2−2i2-22-22000000000000000000000000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20000000000000000000000000000
χ1184-4-444-240042-4-42-44-2-40000-24-2-2-442-22-42200000000000000002i2−2i2−2i22i2000000002i2−2i22i2−2i2−2i22i2−2i22i2-22-22000000000000000000000000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20000000000000000000000000000
χ1194-4-444-2-200422-422-2-2-423−23−2323-2-21-22-2-1122-120023−233−300−33−23230000−2i22i22i2−2i2000000002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ231-11-100−333−3000000000000000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000000000000000
χ1204-4-444-2-200422-422-2-2-423−23−2323-2-21-22-2-1122-120023−233−300−33−232300002i2−2i2−2i22i200000000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ231-11-100−333−3000000000000000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000000000000000
χ1214-4-444-2-200422-422-2-2-4−232323−23-2-21-22-2-1122-1200−2323−33003−323−230000−2i22i22i2−2i2000000002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71-11-1003−3−33000000000000000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000000000000000
χ1224-4-444-2-200422-422-2-2-4−232323−23-2-21-22-2-1122-1200−2323−33003−323−2300002i2−2i2−2i22i200000000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71-11-1003−3−33000000000000000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000000000000000
χ1234-4-44-24400-2-4-42-4-44420000-2-24-22-2-4422-4200000000000022−22−2222000022−2222−22−2222−222200000000-22-22000000000000−22−22−222−22−22−20000000000000000000000000000000000000000
χ1244-4-44-24400-2-4-42-4-44420000-2-24-22-2-4422-42000000000000−222222−220000−2222−222222−2222−2200000000-22-220000000000002−22−22−2−22−22−220000000000000000000000000000000000000000
χ1254-4-44-24-200-2-422-42-24223−23−2323-21-2-2-112-22-12200−33−23230023−233−322−22−222200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000001-11-100−333−3000000−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000000000000000000000000000
χ1264-4-44-24-200-2-422-42-24223−23−2323-21-2-2-112-22-12200−33−23230023−233−3−222222−220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000001-11-100−333−30000002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000000000000000000000000000
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χ1284-4-44-24-200-2-422-42-242−232323−23-21-2-2-112-22-122003−323−2300−2323−33−222222−220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000001-11-1003−3−330000002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000000000000000000000000000
χ1298888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-42222-4-42222000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
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
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χ13288-8-8-4-4-400444-4-4-444443−4343−43222-22-22-2-2-2-2200−2323−232300−2323−2323000000000000000000000000-1-111003−33−30000000000000000000000000000000000000000000000000000000000
χ13388-8-8-4-4-400444-4-4-4444−4343−4343222-22-22-2-2-2-220023−2323−230023−2323−23000000000000000000000000-1-11100−33−330000000000000000000000000000000000000000000000000000000000
χ1348-88-8-4-4-48-84-4-444444-4-4-444222-2-2-2-2-2222-24-422-2-2-4422-2-2000000000000000000000000-111-12-2-1-1110000000000000000000000000000000000000000000000000000000000
χ1358-88-8-4-4-4-884-4-444444-444-4-4222-2-2-2-2-2222-2-44-2-2224-4-2-222000000000000000000000000-111-1-2211-1-10000000000000000000000000000000000000000000000000000000000
χ1368-8-88-4-4800-44-844-88-4400002-4-424-44-4-244-20000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4-4-400-444444-4-4443−43−43432222-22-22-2-2-2-200−232323−2300−232323−23000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-4-400-444444-4-44−434343−432222-22-22-2-2-2-20023−23−23230023−23−2323000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000

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