Finite Group Databasebeta

← Group #13048722

Character table — Group #13048722

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11111122222222233333344466666666666666666661212121212121212121212121212121218181818181818181818181818181818181818181818363636363636545454545454
order12336623336666644121212126663333466666666666612123333666666666666246612121212121212121212121212121212121266612121224661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-11111111-1111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111-1-1-1-1-1-11111111-1111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-1111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111
χ6111111-1111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-111-1-1
χ7111111-1111-1-1111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-11-111-1-1
χ8111111-1111-1-1111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-11-1-111
χ92222222222222222222222222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-100000022-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ10222222222222222222222222-12-1-12-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1000000-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ11222222222222222222222222-1-12-12-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1000000-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ12222222222222222222222222-1-1-122-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122000000-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ13222222222222222-2-2-2-2-2-22222-1-1-1-222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-122-1-1-1-1-1-1000000-2-2111111-2-2111111000000000000
χ14222222222222222-2-2-2-2-2-2222-12-1-1-2-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-1-1-122-1-1-1-100000011-2-2111111-2-21111000000000000
χ15222222222222222-2-2-2-2-2-2222-1-12-1-2-1-1-1-122-1-1-1-12-1-2-2-1-12-1-1-12-1-1-1-1-122-1-10000001111-2-2111111-2-211000000000000
χ16222222222222222-2-2-2-2-2-2222-1-1-12-2-1-1-1-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000111111-2-2111111-2-2000000000000
χ172222222-1-1-122-1-1-1000000-1-1-12222022222222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222220000000000000000-1-1-1-1-1-1000000
χ182222222-1-1-122-1-1-1000000-1-1-12222022222222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000000000000000111111000000
χ19222222-2222-2-2222222222-2-2-22-1-1-1-2-2-21111112-1-1-1-2-22-1-1-12-1-1-1-2-211111100000022-1-1-1-1-1-1-2-2111111000000000000
χ20222222-2222-2-2222222222-2-2-2-12-1-1-211-2-21111-12-1-1-2-2-12-1-1-12-1-111-2-21111000000-1-122-1-1-1-111-2-21111000000000000
χ21222222-2222-2-2222222222-2-2-2-1-12-1-21111-2-211-1-12-1-2-2-1-12-1-1-12-11111-2-211000000-1-1-1-122-1-11111-2-211000000000000
χ22222222-2222-2-2222222222-2-2-2-1-1-12-2111111-2-2-1-1-12-2-2-1-1-12-1-1-12111111-2-2000000-1-1-1-1-1-122111111-2-2000000000000
χ23222222-2222-2-2222-2-2-2-2-2-2-2-2-22-1-1-12-2-21111112-1-1-1222-1-1-12-1-1-1-2-2111111000000-2-211111122-1-1-1-1-1-1000000000000
χ24222222-2222-2-2222-2-2-2-2-2-2-2-2-2-12-1-1211-2-21111-12-1-122-12-1-1-12-1-111-2-2111100000011-2-21111-1-122-1-1-1-1000000000000
χ25222222-2222-2-2222-2-2-2-2-2-2-2-2-2-1-12-121111-2-211-1-12-122-1-12-1-1-12-11111-2-2110000001111-2-211-1-1-1-122-1-1000000000000
χ26222222-2222-2-2222-2-2-2-2-2-2-2-2-2-1-1-122111111-2-2-1-1-1222-1-1-12-1-1-12111111-2-2000000111111-2-2-1-1-1-1-1-122000000000000
χ27222222-2-1-1-1-2-2-1-1-100000011122220-2-2-2-2-2-2-2-2222200-1-1-1-1-1-1-1-1111111112-222-2-20000000000000000-1-1-1111000000
χ28222222-2-1-1-1-2-2-1-1-100000011122220-2-2-2-2-2-2-2-2222200-1-1-1-1-1-1-1-111111111-22-2-2220000000000000000111-1-1-1000000
χ292-222-2-2022200-2-2-22i−2i2i2i−2i−2i0002222000000000-2-2-2-2002222-2-2-2-2000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ302-222-2-2022200-2-2-22i−2i2i2i−2i−2i0002-1-1-1000−i3i3−i3i3−i3i3-2111002-1-1-1-211100−i3i3−i3i3−i3i30000002i−2i−ii−ii−ii003−33−33−3000000000000
χ312-222-2-2022200-2-2-22i−2i2i2i−2i−2i0002-1-1-1000i3−i3i3−i3i3−i3-2111002-1-1-1-211100i3−i3i3−i3i3−i30000002i−2i−ii−ii−ii00−33−33−33000000000000
χ322-222-2-2022200-2-2-22i−2i2i2i−2i−2i000-12-1-10−i3i300−i3i3i3−i31-21100-12-1-11-211−i3i300−i3i3i3−i3000000−ii2i−2i−ii−ii3−3003−3−33000000000000
χ332-222-2-2022200-2-2-22i−2i2i2i−2i−2i000-12-1-10i3−i300i3−i3−i3i31-21100-12-1-11-211i3−i300i3−i3−i3i3000000−ii2i−2i−ii−ii−3300−333−3000000000000
χ342-222-2-2022200-2-2-22i−2i2i2i−2i−2i000-1-12-10−i3i3i3−i300−i3i311-2100-1-12-111-21−i3i3i3−i300−i3i3000000−ii−ii2i−2i−ii3−3−33003−3000000000000
χ352-222-2-2022200-2-2-22i−2i2i2i−2i−2i000-1-12-10i3−i3−i3i300i3−i311-2100-1-12-111-21i3−i3−i3i300i3−i3000000−ii−ii2i−2i−ii−333−300−33000000000000
χ362-222-2-2022200-2-2-22i−2i2i2i−2i−2i000-1-1-120−i3i3−i3i3i3−i300111-200-1-1-12111-2−i3i3−i3i3i3−i300000000−ii−ii−ii2i−2i3−33−3−3300000000000000
χ372-222-2-2022200-2-2-22i−2i2i2i−2i−2i000-1-1-120i3−i3i3−i3−i3i300111-200-1-1-12111-2i3−i3i3−i3−i3i300000000−ii−ii−ii2i−2i−33−333−300000000000000
χ382-222-2-2022200-2-2-2−2i2i−2i−2i2i2i0002222000000000-2-2-2-2002222-2-2-2-200000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ392-222-2-2022200-2-2-2−2i2i−2i−2i2i2i0002-1-1-1000−i3i3−i3i3−i3i3-2111002-1-1-1-211100−i3i3−i3i3−i3i3000000−2i2ii−ii−ii−i00−33−33−33000000000000
χ402-222-2-2022200-2-2-2−2i2i−2i−2i2i2i0002-1-1-1000i3−i3i3−i3i3−i3-2111002-1-1-1-211100i3−i3i3−i3i3−i3000000−2i2ii−ii−ii−i003−33−33−3000000000000
χ412-222-2-2022200-2-2-2−2i2i−2i−2i2i2i000-12-1-10−i3i300−i3i3i3−i31-21100-12-1-11-211−i3i300−i3i3i3−i3000000i−i−2i2ii−ii−i−3300−333−3000000000000
χ422-222-2-2022200-2-2-2−2i2i−2i−2i2i2i000-12-1-10i3−i300i3−i3−i3i31-21100-12-1-11-211i3−i300i3−i3−i3i3000000i−i−2i2ii−ii−i3−3003−3−33000000000000
χ432-222-2-2022200-2-2-2−2i2i−2i−2i2i2i000-1-12-10−i3i3i3−i300−i3i311-2100-1-12-111-21−i3i3i3−i300−i3i3000000i−ii−i−2i2ii−i−333−300−33000000000000
χ442-222-2-2022200-2-2-2−2i2i−2i−2i2i2i000-1-12-10i3−i3−i3i300i3−i311-2100-1-12-111-21i3−i3−i3i300i3−i3000000i−ii−i−2i2ii−i3−3−33003−3000000000000
χ452-222-2-2022200-2-2-2−2i2i−2i−2i2i2i000-1-1-120−i3i3−i3i3i3−i300111-200-1-1-12111-2−i3i3−i3i3i3−i300000000i−ii−ii−i−2i2i−33−333−300000000000000
χ462-222-2-2022200-2-2-2−2i2i−2i−2i2i2i000-1-1-120i3−i3i3−i3−i3i300111-200-1-1-12111-2i3−i3i3−i3−i3i300000000i−ii−ii−i−2i2i3−33−3−3300000000000000
χ4733−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3200003000000000000−3−3i32−3+3i32000000000000000011−1−i32−1+i32−1−i32−1+i3200000000000000001−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ4833−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3200003000000000000−3−3i32−3+3i320000000000000000-1-11+i321−i321+i321−i320000000000000000-11+i321−i32-11+i321−i32-1-11+i321−i321+i321−i32
χ4933−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i320000-30000000000003+3i323−3i32000000000000000011−1−i32−1+i32−1−i32−1+i3200000000000000001−1−i32−1+i321−1−i32−1+i32-1-11+i321−i321+i321−i32
χ5033−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i320000-30000000000003+3i323−3i320000000000000000-1-11+i321−i321+i321−i320000000000000000-11+i321−i32-11+i321−i3211−1−i32−1+i32−1−i32−1+i32
χ5133−3−3i32−3+3i32−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000-30000000000003+3i323−3i3200000000000000001-1−1−i32−1+i321+i321−i3200000000000000001−1−i32−1+i32-11+i321−i32-111+i321−i32−1−i32−1+i32
χ5233−3−3i32−3+3i32−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320000-30000000000003+3i323−3i320000000000000000-111+i321−i32−1−i32−1+i320000000000000000-11+i321−i321−1−i32−1+i321-1−1−i32−1+i321+i321−i32
χ5333−3−3i32−3+3i32−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i3200003000000000000−3−3i32−3+3i3200000000000000001-1−1−i32−1+i321+i321−i3200000000000000001−1−i32−1+i32-11+i321−i321-1−1−i32−1+i321+i321−i32
χ5433−3−3i32−3+3i32−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i3200003000000000000−3−3i32−3+3i320000000000000000-111+i321−i32−1−i32−1+i320000000000000000-11+i321−i321−1−i32−1+i32-111+i321−i32−1−i32−1+i32
χ5533−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3200003000000000000−3+3i32−3−3i32000000000000000011−1+i32−1−i32−1+i32−1−i3200000000000000001−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ5633−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3200003000000000000−3+3i32−3−3i320000000000000000-1-11−i321+i321−i321+i320000000000000000-11−i321+i32-11−i321+i32-1-11−i321+i321−i321+i32
χ5733−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i320000-30000000000003−3i323+3i32000000000000000011−1+i32−1−i32−1+i32−1−i3200000000000000001−1+i32−1−i321−1+i32−1−i32-1-11−i321+i321−i321+i32
χ5833−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i320000-30000000000003−3i323+3i320000000000000000-1-11−i321+i321−i321+i320000000000000000-11−i321+i32-11−i321+i3211−1+i32−1−i32−1+i32−1−i32
χ5933−3+3i32−3−3i32−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000-30000000000003−3i323+3i3200000000000000001-1−1+i32−1−i321−i321+i3200000000000000001−1+i32−1−i32-11−i321+i32-111−i321+i32−1+i32−1−i32
χ6033−3+3i32−3−3i32−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320000-30000000000003−3i323+3i320000000000000000-111−i321+i32−1+i32−1−i320000000000000000-11−i321+i321−1+i32−1−i321-1−1+i32−1−i321−i321+i32
χ6133−3+3i32−3−3i32−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i3200003000000000000−3+3i32−3−3i3200000000000000001-1−1+i32−1−i321−i321+i3200000000000000001−1+i32−1−i32-11−i321+i321-1−1+i32−1−i321−i321+i32
χ6233−3+3i32−3−3i32−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i3200003000000000000−3+3i32−3−3i320000000000000000-111−i321+i32−1+i32−1−i320000000000000000-11−i321+i321−1+i32−1−i32-111−i321+i32−1+i32−1−i32
χ634444444-2-2-244-2-2-2000000-2-2-24-2-2-2044-2-2-2-2-2-24-2-2-200-2111-2111-2-21111110000000000000000000000000000000000
χ644444444-2-2-244-2-2-2000000-2-2-2-24-2-20-2-244-2-2-2-2-24-2-2001-2111-21111-2-211110000000000000000000000000000000000
χ654444444-2-2-244-2-2-2000000-2-2-2-2-24-20-2-2-2-244-2-2-2-24-20011-2111-211111-2-2110000000000000000000000000000000000
χ664444444-2-2-244-2-2-2000000-2-2-2-2-2-240-2-2-2-2-2-244-2-2-2400111-2111-2111111-2-20000000000000000000000000000000000
χ67444444-4-2-2-2-4-4-2-2-20000002224-2-2-20-4-42222224-2-2-200-2111-211122-1-1-1-1-1-10000000000000000000000000000000000
χ68444444-4-2-2-2-4-4-2-2-2000000222-24-2-2022-4-42222-24-2-2001-2111-211-1-122-1-1-1-10000000000000000000000000000000000
χ69444444-4-2-2-2-4-4-2-2-2000000222-2-24-202222-4-422-2-24-20011-2111-21-1-1-1-122-1-10000000000000000000000000000000000
χ70444444-4-2-2-2-4-4-2-2-2000000222-2-2-240222222-4-4-2-2-2400111-2111-2-1-1-1-1-1-1220000000000000000000000000000000000
χ714-444-4-40-2-2-2002220000000004444000000000-4-4-4-400-2-2-2-22222000000000000000000000000000000000000000000
χ724-444-4-40-2-2-2002220000000004-2-2-2000−2i32i3−2i32i3−2i32i3-422200-21112-1-1-100i3−i3i3−i3i3−i30000000000000000000000000000000000
χ734-444-4-40-2-2-2002220000000004-2-2-20002i3−2i32i3−2i32i3−2i3-422200-21112-1-1-100−i3i3−i3i3−i3i30000000000000000000000000000000000
χ744-444-4-40-2-2-200222000000000-24-2-20−2i32i300−2i32i32i3−2i32-422001-211-12-1-1i3−i300i3−i3−i3i30000000000000000000000000000000000
χ754-444-4-40-2-2-200222000000000-24-2-202i3−2i3002i3−2i3−2i32i32-422001-211-12-1-1−i3i300−i3i3i3−i30000000000000000000000000000000000
χ764-444-4-40-2-2-200222000000000-2-24-20−2i32i32i3−2i300−2i32i322-420011-21-1-12-1i3−i3−i3i300i3−i30000000000000000000000000000000000
χ774-444-4-40-2-2-200222000000000-2-24-202i3−2i3−2i32i3002i3−2i322-420011-21-1-12-1−i3i3i3−i300−i3i30000000000000000000000000000000000
χ784-444-4-40-2-2-200222000000000-2-2-240−2i32i3−2i32i32i3−2i300222-400111-2-1-1-12i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ794-444-4-40-2-2-200222000000000-2-2-2402i3−2i32i3−2i3−2i32i300222-400111-2-1-1-12−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ8066−3−3i3−3+3i3−3−3i3−3+3i36-33+3i323−3i32−3−3i3−3+3i3-33+3i323−3i32000000-33+3i323−3i320000000000000000000000000000000000022−1−i3−1+i3−1−i3−1+i30000000000000000-11+i321−i32-11+i321−i32000000
χ8166−3−3i3−3+3i3−3−3i3−3+3i36-33+3i323−3i32−3−3i3−3+3i3-33+3i323−3i32000000-33+3i323−3i3200000000000000000000000000000000000-2-21+i31−i31+i31−i300000000000000001−1−i32−1+i321−1−i32−1+i32000000
χ8266−3−3i3−3+3i3−3−3i3−3+3i3-6-33+3i323−3i323+3i33−3i3-33+3i323−3i320000003−3−3i32−3+3i32000000000000000000000000000000000002-2−1−i3−1+i31+i31−i30000000000000000-11+i321−i321−1−i32−1+i32000000
χ8366−3−3i3−3+3i3−3−3i3−3+3i3-6-33+3i323−3i323+3i33−3i3-33+3i323−3i320000003−3−3i32−3+3i3200000000000000000000000000000000000-221+i31−i3−1−i3−1+i300000000000000001−1−i32−1+i32-11+i321−i32000000
χ8466−3+3i3−3−3i3−3+3i3−3−3i36-33−3i323+3i32−3+3i3−3−3i3-33−3i323+3i32000000-33−3i323+3i320000000000000000000000000000000000022−1+i3−1−i3−1+i3−1−i30000000000000000-11−i321+i32-11−i321+i32000000
χ8566−3+3i3−3−3i3−3+3i3−3−3i36-33−3i323+3i32−3+3i3−3−3i3-33−3i323+3i32000000-33−3i323+3i3200000000000000000000000000000000000-2-21−i31+i31−i31+i300000000000000001−1+i32−1−i321−1+i32−1−i32000000
χ8666−3+3i3−3−3i3−3+3i3−3−3i3-6-33−3i323+3i323−3i33+3i3-33−3i323+3i320000003−3+3i32−3−3i32000000000000000000000000000000000002-2−1+i3−1−i31−i31+i30000000000000000-11−i321+i321−1+i32−1−i32000000
χ8766−3+3i3−3−3i3−3+3i3−3−3i3-6-33−3i323+3i323−3i33+3i3-33−3i323+3i320000003−3+3i32−3−3i3200000000000000000000000000000000000-221−i31+i3−1+i3−1−i300000000000000001−1+i32−1−i32-11−i321+i32000000
χ886-6−3−3i3−3+3i33+3i33−3i306−3−3i3−3+3i300-63+3i33−3i36i−6i6ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000
χ896-6−3−3i3−3+3i33+3i33−3i306−3−3i3−3+3i300-63+3i33−3i3−6i6i−6ζ11−6ζ76ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000
χ906-6−3+3i3−3−3i33−3i33+3i306−3+3i3−3−3i300-63−3i33+3i36i−6i6ζ76ζ11−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000
χ916-6−3+3i3−3−3i33−3i33+3i306−3+3i3−3−3i300-63−3i33+3i3−6i6i−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-12−6−6i3−6+6i36+6i36−6i30-63+3i33−3i3006−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-12−6+6i3−6−6i36−6i36+6i30-63−3i33+3i3006−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.