Finite Group Databasebeta

← Group #13143954

Character table — Group #13143954

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size111111111111222222444444444444666666666666666688812121212121212121212121212121212121212121212121218181818181824242424242424242424242424242424363636363636363636363636363636727272
order1222336666664412121212226666882424242433336666666666664121212121212121212122424242424242424242424242424242444121212126666666612121212121212122446688121212122424242441212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111
χ5111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1
χ6111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11111111111-1-1-1
χ92222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000022-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ10222222222222222222222222222222-12-1-1-12-1-1-12-1-1-12-1-1222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000
χ11222222222222222222222222222222-1-12-1-1-12-1-1-12-1-1-12-1222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1000000-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000
χ12222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000
χ13222222222222222222222222-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2-22-1-1-12-1-1-1-2-2-2-211111111111100000022-1-1-1-1-1-1-2-2111111000000000000000000
χ14222222222222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-12-1-1-12-1-11111-2-2-2-211111111000000-1-122-1-1-1-111-2-21111000000000000000000
χ15222222222222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-1-12-1-1-12-111111111-2-2-2-21111000000-1-1-1-122-1-11111-2-211000000000000000000
χ16222222222222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-1-1-12-1-1-12111111111111-2-2-2-2000000-1-1-1-1-1-122111111-2-2000000000000000000
χ17222222222222222222-2-2-2-2-2-22222222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-22-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2111111-2-2111111000000000000000000
χ18222222222222222222-2-2-2-2-2-2222222-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000011-2-2111111-2-21111000000000000000000
χ19222222222222222222-2-2-2-2-2-2222222-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-10000001111-2-2111111-2-211000000000000000000
χ20222222222222222222-2-2-2-2-2-2222222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222000000111111-2-2111111-2-2000000000000000000
χ21222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-1-2-2-2-2111111111111000000-2-211111122-1-1-1-1-1-1000000000000000000
χ22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1222-12-1-1-12-1-11111-2-2-2-21111111100000011-2-21111-1-122-1-1-1-1000000000000000000
χ23222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1222-1-12-1-1-12-111111111-2-2-2-211110000001111-2-211-1-1-1-122-1-1000000000000000000
χ24222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-12111111111111-2-2-2-2000000111111-2-2-1-1-1-1-1-122000000000000000000
χ25222222222222-2-2-2-2-2-20000000000002222222222222222000-2-2-2-2-2-2-2-200000000000000002222220000000000000000-200-2-20000000000000
χ26222222222222-2-2-2-2-2-20000000000002222222222222222000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-20000000000000000200220000000000000
χ272-22-222-2-222-2-20000000000002−222−2−22222-2-2-2-2-2-2-2-222220000000000022−2−222−2−222−2−222−2−22i−2i2i2i−2i−2i000000000000000000000−i2i20000−i2−i2i2i2000
χ282-22-222-2-222-2-20000000000002−222−2−22222-2-2-2-2-2-2-2-222220000000000022−2−222−2−222−2−222−2−2−2i2i−2i−2i2i2i000000000000000000000i2−i20000i2i2−i2−i2000
χ292-22-222-2-222-2-2000000000000−22−2−2222222-2-2-2-2-2-2-2-2222200000000000−2−222−2−222−2−222−2−2222i−2i2i2i−2i−2i000000000000000000000i2−i20000i2i2−i2−i2000
χ302-22-222-2-222-2-2000000000000−22−2−2222222-2-2-2-2-2-2-2-2222200000000000−2−222−2−222−2−222−2−222−2i2i−2i−2i2i2i000000000000000000000−i2i20000−i2−i2i2i2000
χ312-2-2222-2-2-2-2222-222-2-20000000000002222-2-2-2-22222-2-2-2-2000-2-2-2-222220000000000000000000000000000000000000002-2000022-2-20000000
χ322-2-2222-2-2-2-2222-222-2-20000000000002222-2-2-2-22222-2-2-2-2000-2-2-2-22222000000000000000000000000000000000000000-220000-2-2220000000
χ332-2-2222-2-2-2-222-22-2-2222-222-2-20000002222-2-2-2-22222-2-2-2-20002222-2-2-2-200000000000000000000002-22-22-22-200000000000000000000000000
χ342-2-2222-2-2-2-222-22-2-2222-222-2-20000002-1-1-1-21112-1-1-1-21110002-1-1-1-211100003−33−33−33−33−33−30000002-2-11-11-11003−33−33−3000000000000000000
χ352-2-2222-2-2-2-222-22-2-2222-222-2-20000002-1-1-1-21112-1-1-1-21110002-1-1-1-21110000−33−33−33−33−33−330000002-2-11-11-1100−33−33−33000000000000000000
χ362-2-2222-2-2-2-222-22-2-2222-222-2-2000000-12-1-11-211-12-1-11-211000-12-1-11-2113−33−300003−33−3−33−33000000-112-2-11-113−3003−3−33000000000000000000
χ372-2-2222-2-2-2-222-22-2-2222-222-2-2000000-12-1-11-211-12-1-11-211000-12-1-11-211−33−330000−33−333−33−3000000-112-2-11-11−3300−333−3000000000000000000
χ382-2-2222-2-2-2-222-22-2-2222-222-2-2000000-1-12-111-21-1-12-111-21000-1-12-111-213−33−3−33−3300003−33−3000000-11-112-2-113−3−33003−3000000000000000000
χ392-2-2222-2-2-2-222-22-2-2222-222-2-2000000-1-12-111-21-1-12-111-21000-1-12-111-21−33−333−33−30000−33−33000000-11-112-2-11−333−300−33000000000000000000
χ402-2-2222-2-2-2-222-22-2-2222-222-2-2000000-1-1-12111-2-1-1-12111-2000-1-1-12111-23−33−33−33−3−33−330000000000-11-11-112-23−33−3−3300000000000000000000
χ412-2-2222-2-2-2-222-22-2-2222-222-2-2000000-1-1-12111-2-1-1-12111-2000-1-1-12111-2−33−33−33−333−33−30000000000-11-11-112-2−33−333−300000000000000000000
χ422-2-2222-2-2-2-222-22-2-222-22-2-2220000002222-2-2-2-22222-2-2-2-20002222-2-2-2-20000000000000000000000-22-22-22-2200000000000000000000000000
χ432-2-2222-2-2-2-222-22-2-222-22-2-2220000002-1-1-1-21112-1-1-1-21110002-1-1-1-211100003−33−33−33−33−33−3000000-221-11-11-100−33−33−33000000000000000000
χ442-2-2222-2-2-2-222-22-2-222-22-2-2220000002-1-1-1-21112-1-1-1-21110002-1-1-1-21110000−33−33−33−33−33−33000000-221-11-11-1003−33−33−3000000000000000000
χ452-2-2222-2-2-2-222-22-2-222-22-2-222000000-12-1-11-211-12-1-11-211000-12-1-11-2113−33−300003−33−3−33−330000001-1-221-11-1−3300−333−3000000000000000000
χ462-2-2222-2-2-2-222-22-2-222-22-2-222000000-12-1-11-211-12-1-11-211000-12-1-11-211−33−330000−33−333−33−30000001-1-221-11-13−3003−3−33000000000000000000
χ472-2-2222-2-2-2-222-22-2-222-22-2-222000000-1-12-111-21-1-12-111-21000-1-12-111-213−33−3−33−3300003−33−30000001-11-1-221-1−333−300−33000000000000000000
χ482-2-2222-2-2-2-222-22-2-222-22-2-222000000-1-12-111-21-1-12-111-21000-1-12-111-21−33−333−33−30000−33−330000001-11-1-221-13−3−33003−3000000000000000000
χ492-2-2222-2-2-2-222-22-2-222-22-2-222000000-1-1-12111-2-1-1-12111-2000-1-1-12111-23−33−33−33−3−33−3300000000001-11-11-1-22−33−333−300000000000000000000
χ502-2-2222-2-2-2-222-22-2-222-22-2-222000000-1-1-12111-2-1-1-12111-2000-1-1-12111-2−33−33−33−333−33−300000000001-11-11-1-223−33−3−3300000000000000000000
χ513333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000000000003−3−3i32−3+3i3200000000000000000000000011−1−i32−1+i32−1−i32−1+i320000000000000000111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ523333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000000000003−3−3i32−3+3i32000000000000000000000000-1-11+i321−i321+i321−i320000000000000000-1-1-11+i321−i32-1-11+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32
χ533333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i320000000000000000-33+3i323−3i3200000000000000000000000011−1−i32−1+i32−1−i32−1+i320000000000000000111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-11+i321−i32
χ543333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i320000000000000000-33+3i323−3i32000000000000000000000000-1-11+i321−i321+i321−i320000000000000000-1-1-11+i321−i32111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ553333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-33+3i323−3i3200000000000000000000000011−1−i32−1+i32−1−i32−1+i3200000000000000001-1-1−1−i32−1+i32111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ563333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-33+3i323−3i32000000000000000000000000-1-11+i321−i321+i321−i320000000000000000-1111+i321−i32-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32
χ573333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-3-33+3i323−3i323+3i323−3i3200000000000000003−3−3i32−3+3i3200000000000000000000000011−1−i32−1+i32−1−i32−1+i3200000000000000001-1-1−1−i32−1+i32-1-11+i321−i321+i321−i321+i321−i321+i321−i321−1−i32−1+i32
χ583333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-3-33+3i323−3i323+3i323−3i3200000000000000003−3−3i32−3+3i32000000000000000000000000-1-11+i321−i321+i321−i320000000000000000-1111+i321−i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ593333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000000000003−3+3i32−3−3i3200000000000000000000000011−1+i32−1−i32−1+i32−1−i320000000000000000111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ603333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000000000003−3+3i32−3−3i32000000000000000000000000-1-11−i321+i321−i321+i320000000000000000-1-1-11−i321+i32-1-11−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i32
χ613333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i320000000000000000-33−3i323+3i3200000000000000000000000011−1+i32−1−i32−1+i32−1−i320000000000000000111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-11−i321+i32
χ623333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i320000000000000000-33−3i323+3i32000000000000000000000000-1-11−i321+i321−i321+i320000000000000000-1-1-11−i321+i32111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ633333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-33−3i323+3i3200000000000000000000000011−1+i32−1−i32−1+i32−1−i3200000000000000001-1-1−1+i32−1−i32111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ643333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-33−3i323+3i32000000000000000000000000-1-11−i321+i321−i321+i320000000000000000-1111−i321+i32-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32
χ653333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-3-33−3i323+3i323−3i323+3i3200000000000000003−3+3i32−3−3i3200000000000000000000000011−1+i32−1−i32−1+i32−1−i3200000000000000001-1-1−1+i32−1−i32-1-11−i321+i321−i321+i321−i321+i321−i321+i321−1+i32−1−i32
χ663333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-3-33−3i323+3i323−3i323+3i3200000000000000003−3+3i32−3−3i32000000000000000000000000-1-11−i321+i321−i321+i320000000000000000-1111−i321+i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ67444444444444-4-4-4-4-4-40000000000004-2-2-24-2-2-24-2-2-24-2-2-2000-4222-422200000000000000000000000000000000000000000000000000000000
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χ7744-4-44444-4-4-4-4000000000000000000-2-24-2-2-24-222-4222-4200000000000−666−66−6−660000−666−60000000000000000000000000000000000000000
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χ814-44-444-4-444-4-400000000000022−222222−22−22-24-2-22-4222-422-24-2-200000000000−2−2222222−22−22−2−222−2−2220000000000000000000000000000000000000000
χ824-44-444-4-444-4-400000000000022−222222−22−22-2-24-222-4222-42-2-24-200000000000−2−222−2−2222222−22−22−2−2220000000000000000000000000000000000000000
χ834-44-444-4-444-4-400000000000022−222222−22−22-2-2-24222-4222-4-2-2-2400000000000−2−222−2−222−2−2222222−22−220000000000000000000000000000000000000000
χ844-44-444-4-444-4-4000000000000−2222−22−2222224-2-2-2-4222-42224-2-2-200000000000−22−22222222−2−222−2−222−2−20000000000000000000000000000000000000000
χ854-44-444-4-444-4-4000000000000−2222−22−222222-24-2-22-4222-422-24-2-20000000000022−2−2−22−22222222−2−222−2−20000000000000000000000000000000000000000
χ864-44-444-4-444-4-4000000000000−2222−22−222222-2-24-222-4222-42-2-24-20000000000022−2−222−2−2−22−22222222−2−20000000000000000000000000000000000000000
χ874-44-444-4-444-4-4000000000000−2222−22−222222-2-2-24222-4222-4-2-2-240000000000022−2−222−2−222−2−2−22−2222220000000000000000000000000000000000000000
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χ926666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-6-63+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000022−1−i3−1+i3−1−i3−1+i30000000000000000-2001+i31−i30000000000000
χ936666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-6-63+3i33−3i33+3i33−3i30000000000000000000000000000000000000000000000000000000-2-21+i31−i31+i31−i30000000000000000200−1−i3−1+i30000000000000
χ946666−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-6-63−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000022−1+i3−1−i3−1+i3−1−i30000000000000000-2001−i31+i30000000000000
χ956666−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-6-63−3i33+3i33−3i33+3i30000000000000000000000000000000000000000000000000000000-2-21−i31+i31−i31+i30000000000000000200−1+i3−1−i30000000000000
χ966-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000032−32−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ2300000000000000000000000000000000000000000002i−2i2ζ222ζ14−2ζ22−2ζ14000000000000000000000−i2i20000ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23000
χ976-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000032−32−3ζ7+3ζ133ζ5−3ζ233ζ7−3ζ13−3ζ5+3ζ230000000000000000000000000000000000000000000−2i2i−2ζ22−2ζ142ζ222ζ14000000000000000000000i2−i20000−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23000
χ986-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000000000−32323ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ2300000000000000000000000000000000000000000002i−2i2ζ222ζ14−2ζ22−2ζ14000000000000000000000i2−i20000−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23000
χ996-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000000000−32323ζ7−3ζ13−3ζ5+3ζ23−3ζ7+3ζ133ζ5−3ζ230000000000000000000000000000000000000000000−2i2i−2ζ22−2ζ142ζ222ζ14000000000000000000000−i2i20000ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23000
χ1006-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000032−323ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ1300000000000000000000000000000000000000000002i−2i2ζ142ζ22−2ζ14−2ζ22000000000000000000000−i2i20000ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13000
χ1016-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000032−323ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ130000000000000000000000000000000000000000000−2i2i−2ζ14−2ζ222ζ142ζ22000000000000000000000i2−i20000−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13000
χ1026-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000−3232−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ1300000000000000000000000000000000000000000002i−2i2ζ142ζ22−2ζ14−2ζ22000000000000000000000i2−i20000−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13000
χ1036-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000−3232−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ130000000000000000000000000000000000000000000−2i2i−2ζ14−2ζ222ζ142ζ22000000000000000000000−i2i20000ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13000
χ1046-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000002-20000−1−i3−1+i31+i31−i30000000
χ1056-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-6−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000-2200001+i31−i3−1−i3−1+i30000000
χ1066-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-663+3i33−3i3−3−3i3−3+3i36-6−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1076-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-663+3i33−3i3−3−3i3−3+3i3-663+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1086-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000002-20000−1+i3−1−i31−i31+i30000000
χ1096-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-6−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000-2200001−i31+i3−1+i3−1−i30000000
χ1106-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-663−3i33+3i3−3+3i3−3−3i36-6−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1116-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-663−3i33+3i3−3+3i3−3−3i3-663−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1121212-12-12−6−6i3−6+6i3−6−6i3−6+6i36+6i36−6i36+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1131212-12-12−6+6i3−6−6i3−6+6i3−6−6i36−6i36+6i36−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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