Finite Group Databasebeta

← Group #13143953

Character table — Group #13143953

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111222222444444666666666666666688888812121212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636727272727272
order1222336666664412121212882424242433336666666666662466121212121212121212122424242424242424242424242424242466666666121212121212121224668812122424242424661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1-1-111111111111111111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111
χ6111111111111111111-1-1-1-1-1-111111111111111111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1
χ7111111111111111111-1-1-1-1-1-11111111111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11-111-1-1
χ8111111111111111111-1-1-1-1-1-11111111111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-11-1-111
χ92222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ102222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2-2-22-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000
χ11222222222222222222222222-12-1-1-12-1-1-12-1-1-12-1-1222222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000
χ12222222222222222222222222-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-2-2-2-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111000000000000000000
χ13222222222222222222222222-1-12-1-1-12-1-1-12-1-1-12-1222222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000
χ14222222222222222222222222-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-211000000000000000000
χ15222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000
χ16222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2111111-2-2000000000000000000
χ17222222222222222222-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-12-222-2-22-1-1-12-1-1-1-2-2-2-211111111111122-1-1-1-1-1-1-2-2111111000000000000000000
χ18222222222222222222-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-22-2-2222-1-1-12-1-1-1-2-2-2-2111111111111-2-211111122-1-1-1-1-1-1000000000000000000
χ19222222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-12-222-2-2-12-1-1-12-1-11111-2-2-2-211111111-1-122-1-1-1-111-2-21111000000000000000000
χ20222222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-22-2-222-12-1-1-12-1-11111-2-2-2-21111111111-2-21111-1-122-1-1-1-1000000000000000000
χ21222222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-12-222-2-2-1-12-1-1-12-111111111-2-2-2-21111-1-1-1-122-1-11111-2-211000000000000000000
χ22222222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1-22-2-222-1-12-1-1-12-111111111-2-2-2-211111111-2-211-1-1-1-122-1-1000000000000000000
χ23222222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-122-222-2-2-1-1-12-1-1-12111111111111-2-2-2-2-1-1-1-1-1-122111111-2-2000000000000000000
χ24222222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12-22-2-222-1-1-12-1-1-12111111111111-2-2-2-2111111-2-2-1-1-1-1-1-122000000000000000000
χ25222222222222-2-2-2-2-2-20000002222222222222222000000-2-2-2-2-2-2-2-2000000000000000000000000000000002-22200-2-20000000000
χ26222222222222-2-2-2-2-2-20000002222222222222222000000-2-2-2-2-2-2-2-200000000000000000000000000000000-22-2-200220000000000
χ272-22-222-2-222-2-22-222-2-22i−2i2i2i−2i−2i2222-2-2-2-22222-2-2-2-20000002222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ282-22-222-2-222-2-22-222-2-22i−2i2i2i−2i−2i2-1-1-1-21112-1-1-1-21110000002-1-1-1-21112i2i−2i−2i−i−iii−i−iii−i−iii00−i3i3−i3i3−i3i3003−33−33−3000000000000000000
χ292-22-222-2-222-2-22-222-2-22i−2i2i2i−2i−2i2-1-1-1-21112-1-1-1-21110000002-1-1-1-21112i2i−2i−2i−i−iii−i−iii−i−iii00i3−i3i3−i3i3−i300−33−33−33000000000000000000
χ302-22-222-2-222-2-22-222-2-22i−2i2i2i−2i−2i-12-1-11-211-12-1-11-211000000-12-1-11-211−i−iii2i2i−2i−2i−i−iii−i−iii−i3i300−i3i3i3−i33−3003−3−33000000000000000000
χ312-22-222-2-222-2-22-222-2-22i−2i2i2i−2i−2i-12-1-11-211-12-1-11-211000000-12-1-11-211−i−iii2i2i−2i−2i−i−iii−i−iiii3−i300i3−i3−i3i3−3300−333−3000000000000000000
χ322-22-222-2-222-2-22-222-2-22i−2i2i2i−2i−2i-1-12-111-21-1-12-111-21000000-1-12-111-21−i−iii−i−iii2i2i−2i−2i−i−iii−i3i3i3−i300−i3i33−3−33003−3000000000000000000
χ332-22-222-2-222-2-22-222-2-22i−2i2i2i−2i−2i-1-12-111-21-1-12-111-21000000-1-12-111-21−i−iii−i−iii2i2i−2i−2i−i−iiii3−i3−i3i300i3−i3−333−300−33000000000000000000
χ342-22-222-2-222-2-22-222-2-22i−2i2i2i−2i−2i-1-1-12111-2-1-1-12111-2000000-1-1-12111-2−i−iii−i−iii−i−iii2i2i−2i−2i−i3i3−i3i3i3−i3003−33−3−3300000000000000000000
χ352-22-222-2-222-2-22-222-2-22i−2i2i2i−2i−2i-1-1-12111-2-1-1-12111-2000000-1-1-12111-2−i−iii−i−iii−i−iii2i2i−2i−2ii3−i3i3−i3−i3i300−33−333−300000000000000000000
χ362-22-222-2-222-2-22-222-2-2−2i2i−2i−2i2i2i2222-2-2-2-22222-2-2-2-20000002222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ372-22-222-2-222-2-22-222-2-2−2i2i−2i−2i2i2i2-1-1-1-21112-1-1-1-21110000002-1-1-1-2111−2i−2i2i2iii−i−iii−i−iii−i−i00−i3i3−i3i3−i3i300−33−33−33000000000000000000
χ382-22-222-2-222-2-22-222-2-2−2i2i−2i−2i2i2i2-1-1-1-21112-1-1-1-21110000002-1-1-1-2111−2i−2i2i2iii−i−iii−i−iii−i−i00i3−i3i3−i3i3−i3003−33−33−3000000000000000000
χ392-22-222-2-222-2-22-222-2-2−2i2i−2i−2i2i2i-12-1-11-211-12-1-11-211000000-12-1-11-211ii−i−i−2i−2i2i2iii−i−iii−i−i−i3i300−i3i3i3−i3−3300−333−3000000000000000000
χ402-22-222-2-222-2-22-222-2-2−2i2i−2i−2i2i2i-12-1-11-211-12-1-11-211000000-12-1-11-211ii−i−i−2i−2i2i2iii−i−iii−i−ii3−i300i3−i3−i3i33−3003−3−33000000000000000000
χ412-22-222-2-222-2-22-222-2-2−2i2i−2i−2i2i2i-1-12-111-21-1-12-111-21000000-1-12-111-21ii−i−iii−i−i−2i−2i2i2iii−i−i−i3i3i3−i300−i3i3−333−300−33000000000000000000
χ422-22-222-2-222-2-22-222-2-2−2i2i−2i−2i2i2i-1-12-111-21-1-12-111-21000000-1-12-111-21ii−i−iii−i−i−2i−2i2i2iii−i−ii3−i3−i3i300i3−i33−3−33003−3000000000000000000
χ432-22-222-2-222-2-22-222-2-2−2i2i−2i−2i2i2i-1-1-12111-2-1-1-12111-2000000-1-1-12111-2ii−i−iii−i−iii−i−i−2i−2i2i2i−i3i3−i3i3i3−i300−33−333−300000000000000000000
χ442-22-222-2-222-2-22-222-2-2−2i2i−2i−2i2i2i-1-1-12111-2-1-1-12111-2000000-1-1-12111-2ii−i−iii−i−iii−i−i−2i−2i2i2ii3−i3i3−i3−i3i3003−33−3−3300000000000000000000
χ452-22-222-2-222-2-2-22-2-2220000002222-2-2-2-22222-2-2-2-2000000-2-2-2-222220000000000000000000000000000000000002-20022-2-2000000
χ462-22-222-2-222-2-2-22-2-2220000002222-2-2-2-22222-2-2-2-2000000-2-2-2-22222000000000000000000000000000000000000-2200-2-222000000
χ473333−3−3i32−3+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+3i32000000000000000033−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000011−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ483333−3−3i32−3+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+3i32000000000000000033−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-11+i321−i32-1-11+i321−i321+i321−i321+i321−i32-1-11+i321−i321+i321−i32
χ493333−3−3i32−3+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+3i320000000000000000-3-33+3i323−3i323+3i323−3i32000000000000000000000000000000000000000011−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32
χ503333−3−3i32−3+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+3i320000000000000000-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000000000000-1-11+i321−i32-1-11+i321−i321+i321−i321+i321−i3211−1−i32−1+i32−1−i32−1+i32
χ513333−3−3i32−3+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+3i323−3i3200000000000000003-3−3−3i32−3+3i323+3i323−3i32000000000000000000000000000000000000000011−1−i32−1+i32-1-1−1−i32−1+i321+i321−i321+i321−i32-111+i321−i32−1−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+3i32-3-33+3i323−3i323+3i323−3i3200000000000000003-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000-1-11+i321−i32111+i321−i32−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321+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+3i32-3-33+3i323−3i323+3i323−3i320000000000000000-333+3i323−3i32−3−3i32−3+3i32000000000000000000000000000000000000000011−1−i32−1+i32-1-1−1−i32−1+i321+i321−i321+i321−i321-1−1−i32−1+i321+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+3i32-3-33+3i323−3i323+3i323−3i320000000000000000-333+3i323−3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-11+i321−i32111+i321−i32−1−i32−1+i32−1−i32−1+i32-111+i321−i32−1−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+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32000000000000000033−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000011−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ563333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32000000000000000033−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000000000-1-11−i321+i32-1-11−i321+i321−i321+i321−i321+i32-1-11−i321+i321−i321+i32
χ573333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-3-33−3i323+3i323−3i323+3i32000000000000000000000000000000000000000011−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32
χ583333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-3-33−3i323+3i323−3i323+3i320000000000000000000000000000000000000000-1-11−i321+i32-1-11−i321+i321−i321+i321−i321+i3211−1+i32−1−i32−1+i32−1−i32
χ593333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000000000003-3−3+3i32−3−3i323−3i323+3i32000000000000000000000000000000000000000011−1+i32−1−i32-1-1−1+i32−1−i321−i321+i321−i321+i32-111−i321+i32−1+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+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000000000003-3−3+3i32−3−3i323−3i323+3i320000000000000000000000000000000000000000-1-11−i321+i32111−i321+i32−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32
χ613333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i320000000000000000-333−3i323+3i32−3+3i32−3−3i32000000000000000000000000000000000000000011−1+i32−1−i32-1-1−1+i32−1−i321−i321+i321−i321+i321-1−1+i32−1−i321−i321+i32
χ623333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i320000000000000000-333−3i323+3i32−3+3i32−3−3i320000000000000000000000000000000000000000-1-11−i321+i32111−i321+i32−1+i32−1−i32−1+i32−1−i32-111−i321+i32−1+i32−1−i32
χ63444444444444-4-4-4-4-4-40000004-2-2-24-2-2-24-2-2-24-2-2-2000000-4222-422200000000000000000000000000000000000000000000000000
χ64444444444444-4-4-4-4-4-4000000-24-2-2-24-2-2-24-2-2-24-2-20000002-4222-42200000000000000000000000000000000000000000000000000
χ65444444444444-4-4-4-4-4-4000000-2-24-2-2-24-2-2-24-2-2-24-200000022-4222-4200000000000000000000000000000000000000000000000000
χ66444444444444-4-4-4-4-4-4000000-2-2-24-2-2-24-2-2-24-2-2-24000000222-4222-400000000000000000000000000000000000000000000000000
χ6744-4-44444-4-4-4-40000000000004444-4-4-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000
χ6844-4-44444-4-4-4-40000000000004-2-2-2-4222-42224-2-2-2000000000000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i60000000000000000000000000000000000
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χ7044-4-44444-4-4-4-4000000000000-24-2-22-4222-422-24-2-200000000000000i6−i6i6−i60000i6−i6i6−i6−i6i6−i6i60000000000000000000000000000000000
χ7144-4-44444-4-4-4-4000000000000-24-2-22-4222-422-24-2-200000000000000−i6i6−i6i60000−i6i6−i6i6i6−i6i6−i60000000000000000000000000000000000
χ7244-4-44444-4-4-4-4000000000000-2-24-222-4222-42-2-24-200000000000000i6−i6i6−i6−i6i6−i6i60000i6−i6i6−i60000000000000000000000000000000000
χ7344-4-44444-4-4-4-4000000000000-2-24-222-4222-42-2-24-200000000000000−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i60000000000000000000000000000000000
χ7444-4-44444-4-4-4-4000000000000-2-2-24222-4222-4-2-2-2400000000000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ7544-4-44444-4-4-4-4000000000000-2-2-24222-4222-4-2-2-2400000000000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ764-44-444-4-444-4-4-44-4-4440000004-2-2-2-42224-2-2-2-4222000000-42224-2-2-200000000000000000000000000000000000000000000000000
χ774-44-444-4-444-4-4-44-4-444000000-24-2-22-422-24-2-22-4220000002-422-24-2-200000000000000000000000000000000000000000000000000
χ784-44-444-4-444-4-4-44-4-444000000-2-24-222-42-2-24-222-4200000022-42-2-24-200000000000000000000000000000000000000000000000000
χ794-44-444-4-444-4-4-44-4-444000000-2-2-24222-4-2-2-24222-4000000222-4-2-2-2400000000000000000000000000000000000000000000000000
χ804-4-4444-4-4-4-44400000000000044444444-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ814-4-4444-4-4-4-4440000000000004-2-2-24-2-2-2-4222-42220000000000000000006−6−666−6−666−6−660000000000000000000000000000000000
χ824-4-4444-4-4-4-4440000000000004-2-2-24-2-2-2-4222-4222000000000000000000−666−6−666−6−666−60000000000000000000000000000000000
χ834-4-4444-4-4-4-444000000000000-24-2-2-24-2-22-4222-422000000000000006−6−6600006−6−66−666−60000000000000000000000000000000000
χ844-4-4444-4-4-4-444000000000000-24-2-2-24-2-22-4222-42200000000000000−666−60000−666−66−6−660000000000000000000000000000000000
χ854-4-4444-4-4-4-444000000000000-2-24-2-2-24-222-4222-42000000000000006−6−66−666−600006−6−660000000000000000000000000000000000
χ864-4-4444-4-4-4-444000000000000-2-24-2-2-24-222-4222-4200000000000000−666−66−6−660000−666−60000000000000000000000000000000000
χ874-4-4444-4-4-4-444000000000000-2-2-24-2-2-24222-4222-4000000000000006−6−666−6−66−666−600000000000000000000000000000000000000
χ884-4-4444-4-4-4-444000000000000-2-2-24-2-2-24222-4222-400000000000000−666−6−666−66−6−6600000000000000000000000000000000000000
χ896666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-6-63+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000002-2−1−i3−1+i3001+i31−i30000000000
χ906666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-6-63+3i33−3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000-221+i31−i300−1−i3−1+i30000000000
χ916666−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-6-63−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000002-2−1+i3−1−i3001−i31+i30000000000
χ926666−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-6-63−3i33+3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000-221−i31+i300−1+i3−1−i30000000000
χ936-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36-6−3−3i3−3+3i33+3i33−3i36i−6i6ζ226ζ14−6ζ22−6ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ946-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36-6−3−3i3−3+3i33+3i33−3i3−6i6i−6ζ22−6ζ146ζ226ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ956-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3-663+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000002-200−1−i3−1+i31+i31−i3000000
χ966-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3-663+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000-22001+i31−i3−1−i3−1+i3000000
χ976-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i36i−6i6ζ146ζ22−6ζ14−6ζ2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ986-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i3−6i6i−6ζ14−6ζ226ζ146ζ2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ996-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3-663−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000002-200−1+i3−1−i31−i31+i3000000
χ1006-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3-663−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000-22001−i31+i3−1+i3−1−i3000000
χ1011212-12-12−6−6i3−6+6i3−6−6i3−6+6i36+6i36−6i36+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12−6+6i3−6−6i3−6+6i3−6−6i36−6i36+6i36−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-1212−6−6i3−6+6i36+6i36−6i36+6i36−6i3−6−6i3−6+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212−6+6i3−6−6i36−6i36+6i36−6i36+6i3−6+6i3−6−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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