Finite Group Databasebeta

← Group #11923175

Character table — Group #11923175

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222224444444466666688888888888888888888121212121224242424242424243636111122222222224444444466666688888888888888888888121212121224242424242424243636
order12223446661212121233666666444444336666661212121212121212121212124121212121212121212121212442222644666121212126666666644444466666666121212121212121212121212412121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ411111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111+i321+i321−i321−i321+i321+i321−i321−i32-1-111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111+i321+i321−i321−i321+i321+i321−i321−i32-1-1
χ511111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ611111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111−i321−i321+i321+i321−i321−i321+i321+i32-1-111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111−i321−i321+i321+i321−i321−i321+i321+i32-1-1
χ711111-1-1111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1111111-1-1111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11
χ811111-1-1111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111111-1-1111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ911111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1111111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11
χ1011111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-111111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1
χ1111111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1111111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11
χ1211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-111111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1
χ132222-122-1-1-1-1-1-1-122222222220000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-100000000002222-122-1-1-1-1-1-1-122222222220000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32200001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i322-1-1-1-100000000002222-122-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32200001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i322-1-1-1-10000000000
χ152222-122-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32200001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i322-1-1-1-100000000002222-122-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32200001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i322-1-1-1-10000000000
χ162222-1-2-2-1-1-1111122222222220000-1-1-1-1-1-1-1-1-2-2-2-211111111-2-1-11100000000002222-1-2-2-1-1-1111122222222220000-1-1-1-1-1-1-1-1-2-2-2-211111111-2-1-1110000000000
χ172222-1-2-2-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32200001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-2-1-11100000000002222-1-2-2-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32200001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-2-1-1110000000000
χ182222-1-2-2-1-1-11111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32200001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-2-1-11100000000002222-1-2-2-1-1-11111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32200001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-2-1-1110000000000
χ1922-2-2200-22-200002222-2-2-2-22-20000222-22-2-2-200000000000002-200000000000022-2-2200-22-200002222-2-2-2-22-20000222-22-2-2-200000000000002-2000000000000
χ2022-2-2200-22-20000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-20000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i300000000000002-200000000000022-2-2200-22-20000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-20000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i300000000000002-2000000000000
χ2122-2-2200-22-20000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-20000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i300000000000002-200000000000022-2-2200-22-20000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-20000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i300000000000002-2000000000000
χ2222-2-2-1001-1133−3−32222-2-2-2-22-20000-1-1-11-1111000033−3−333−3−30-113−3000000000022-2-2-1001-1133−3−32222-2-2-2-22-20000-1-1-11-1111000033−3−333−3−30-113−30000000000
χ2322-2-2-1001-1133−3−3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-200001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i3200002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110-113−3000000000022-2-2-1001-1133−3−3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-200001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i3200002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110-113−30000000000
χ2422-2-2-1001-1133−3−3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-200001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i320000−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110-113−3000000000022-2-2-1001-1133−3−3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-200001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i320000−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110-113−30000000000
χ2522-2-2-1001-11−3−3332222-2-2-2-22-20000-1-1-11-11110000−3−333−3−3330-11−33000000000022-2-2-1001-11−3−3332222-2-2-2-22-20000-1-1-11-11110000−3−333−3−3330-11−330000000000
χ2622-2-2-1001-11−3−333−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-200001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i320000−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110-11−33000000000022-2-2-1001-11−3−333−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-200001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i320000−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110-11−330000000000
χ2722-2-2-1001-11−3−333−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-200001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i320000ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110-11−33000000000022-2-2-1001-11−3−333−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-200001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i320000ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110-11−330000000000
χ282-2-2222i−2i-2-222i−2i2i−2i-1-111-1-111002i−2i2-2-1-11-11-111i−ii−ii−ii−ii−ii−i000001-11-1i−ii−i002-2-2222i−2i-2-222i−2i2i−2i-1-111-1-111002i−2i2-2-1-11-11-111i−ii−ii−ii−ii−ii−i000001-11-1i−ii−i00
χ292-2-2222i−2i-2-222i−2i2i−2i-1-111-1-11100−2i2i-22-1-11-11-111i−ii−ii−ii−ii−ii−i00000-11-11−ii−ii002-2-2222i−2i-2-222i−2i2i−2i-1-111-1-11100−2i2i-22-1-11-11-111i−ii−ii−ii−ii−ii−i00000-11-11−ii−ii00
χ302-2-2222i−2i-2-222i−2i2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32002i−2i2-21+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ700000−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ7002-2-2222i−2i-2-222i−2i2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32002i−2i2-21+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ700000−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ700
χ312-2-2222i−2i-2-222i−2i2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200−2i2i-221+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7000001+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ7002-2-2222i−2i-2-222i−2i2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200−2i2i-221+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7000001+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ700
χ322-2-2222i−2i-2-222i−2i2i−2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32002i−2i2-21−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1100000−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ11002-2-2222i−2i-2-222i−2i2i−2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32002i−2i2-21−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1100000−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ1100
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χ403333333333333300000000-1-1333300000000000000000000-1-1-1-1-100000000-1-13333333333333300000000-1-1333300000000000000000000-1-1-1-1-100000000-1-1
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χ7011111-1-1111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1111111-1-1-1-11-1
χ7111111-1-1111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-11111-11
χ7211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32-1-1-1-1111+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1
χ7311111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32-1-111-1-11+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11
χ7411111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32-1-1-1-1111−i321+i321−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1
χ7511111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32-1-111-1-11−i321+i321−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11
χ762222-122-1-1-1-1-1-1-122222222220000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-10000000000-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-2-2000011111111-2-2-2-211111111-211110000000000
χ772222-122-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32200001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i322-1-1-1-10000000000-2-2-2-21-2-211111111+i31−i31+i31−i31+i31−i31+i31−i3-2-20000−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-211110000000000
χ782222-122-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32200001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i322-1-1-1-10000000000-2-2-2-21-2-211111111−i31+i31−i31+i31−i31+i31−i31+i3-2-20000−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-211110000000000
χ792222-1-2-2-1-1-1111122222222220000-1-1-1-1-1-1-1-1-2-2-2-211111111-2-1-1110000000000-2-2-2-2122111-1-1-1-1-2-2-2-2-2-2-2-2-2-20000111111112222-1-1-1-1-1-1-1-1211-1-10000000000
χ802222-1-2-2-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32200001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-2-1-1110000000000-2-2-2-2122111-1-1-1-11+i31−i31+i31−i31+i31−i31+i31−i3-2-20000−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i32211-1-10000000000
χ812222-1-2-2-1-1-11111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32200001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-2-1-1110000000000-2-2-2-2122111-1-1-1-11−i31+i31−i31+i31−i31+i31−i31+i3-2-20000−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i32211-1-10000000000
χ8222-2-2200-22-200002222-2-2-2-22-20000222-22-2-2-200000000000002-2000000000000-2-222-2002-220000-2-2-2-22222-220000-2-2-22-22220000000000000-22000000000000
χ8322-2-2200-22-20000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-20000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i300000000000002-2000000000000-2-222-2002-2200001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3-2200001+i31−i31+i3−1−i31−i3−1+i3−1−i3−1+i30000000000000-22000000000000
χ8422-2-2200-22-20000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i32-20000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i300000000000002-2000000000000-2-222-2002-2200001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3-2200001−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i30000000000000-22000000000000
χ8522-2-2-1001-1133−3−32222-2-2-2-22-20000-1-1-11-1111000033−3−333−3−30-113−30000000000-2-222100-11-1−3−333-2-2-2-22222-220000111-11-1-1-10000−3−333−3−33301-1−330000000000
χ8622-2-2-1001-1133−3−3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-200001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i3200002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110-113−30000000000-2-222100-11-1−3−3331+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3-220000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i320000−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ1101-1−330000000000
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χ8822-2-2-1001-11−3−3332222-2-2-2-22-20000-1-1-11-11110000−3−333−3−3330-11−330000000000-2-222100-11-133−3−3-2-2-2-22222-220000111-11-1-1-1000033−3−333−3−301-13−30000000000
χ8922-2-2-1001-11−3−333−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i32-200001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i320000−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110-11−330000000000-2-222100-11-133−3−31+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3-220000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i3200002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1101-13−30000000000
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χ922-2-2222i−2i-2-222i−2i2i−2i-1-111-1-11100−2i2i-22-1-11-11-111i−ii−ii−ii−ii−ii−i00000-11-11−ii−ii00-222-2-2−2i2i22-2−2i2i−2i2i11-1-111-1-1002i−2i2-211-11-11-1-1−ii−ii−ii−ii−ii−ii000001-11-1i−ii−i00
χ932-2-2222i−2i-2-222i−2i2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32002i−2i2-21+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ700000−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ700-222-2-2−2i2i22-2−2i2i−2i2i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3200−2i2i-22−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7000001+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ700
χ942-2-2222i−2i-2-222i−2i2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200−2i2i-221+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7000001+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ700-222-2-2−2i2i22-2−2i2i−2i2i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32002i−2i2-2−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ700000−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ700
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χ982-2-222−2i2i-2-22−2i2i−2i2i-1-111-1-11100−2i2i2-2-1-11-11-111−ii−ii−ii−ii−ii−ii000001-11-1−ii−ii00-222-2-22i−2i22-22i−2i2i−2i11-1-111-1-1002i−2i-2211-11-11-1-1i−ii−ii−ii−ii−ii−i00000-11-11i−ii−i00
χ992-2-222−2i2i-2-22−2i2i−2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32002i−2i-221+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7000001+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ700-222-2-22i−2i22-22i−2i2i−2i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3200−2i2i2-2−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ700000−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ700
χ1002-2-222−2i2i-2-22−2i2i−2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200−2i2i2-21+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ700000−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ700-222-2-22i−2i22-22i−2i2i−2i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32002i−2i-22−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7000001+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ700
χ1012-2-222−2i2i-2-22−2i2i−2i2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32002i−2i-221−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11000001−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ1100-222-2-22i−2i22-22i−2i2i−2i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3200−2i2i2-2−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1100000−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ1100
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χ1033333333333333300000000-1-1333300000000000000000000-1-1-1-1-100000000-1-1-3-3-3-3-3-3-3-3-3-3-3-3-3-30000000011-3-3-3-300000000000000000000111110000000011
χ1043333333333333300000000-1-1-3-3-3-300000000000000000000-1-1-1-1-10000000011-3-3-3-3-3-3-3-3-3-3-3-3-3-300000000113333000000000000000000001111100000000-1-1
χ10533333-3-3333-3-3-3-300000000-1-133-3-3000000000000000000001-1-111000000001-1-3-3-3-3-333-3-3-333330000000011-3-33300000000000000000000-111-1-100000000-11
χ10633333-3-3333-3-3-3-300000000-1-1-3-333000000000000000000001-1-11100000000-11-3-3-3-3-333-3-3-33333000000001133-3-300000000000000000000-111-1-1000000001-1
χ1074-44-44004-4-40000-2-22222-2-2000000-2-22222-2-2000000000000000000000000000-44-44-400-444000022-2-2-2-22200000022-2-2-2-222000000000000000000000000000
χ1084-44-44004-4-400001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i30000001+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3000000000000000000000000000-44-44-400-4440000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3000000−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3000000000000000000000000000
χ1094-44-44004-4-400001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i30000001−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3000000000000000000000000000-44-44-400-4440000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3000000−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000000000000000000000000000
χ1104-44-4-200-222−2i32i32i3−2i3-2-22222-2-200000011-1-1-1-1110000−i3i3i3−i3−i3i3i3−i3000000000000000-44-442002-2-22i3−2i3−2i32i322-2-2-2-222000000-1-11111-1-10000i3−i3−i3i3i3−i3−i3i3000000000000000
χ1114-44-4-200-222−2i32i32i3−2i31+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i320000−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i32000000000000000-44-442002-2-22i3−2i3−2i32i3−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i30000001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i3200003−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32000000000000000
χ1124-44-4-200-222−2i32i32i3−2i31−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i3200003+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32000000000000000-44-442002-2-22i3−2i3−2i32i3−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i30000001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i320000−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32000000000000000
χ1134-44-4-200-2222i3−2i3−2i32i3-2-22222-2-200000011-1-1-1-1110000i3−i3−i3i3i3−i3−i3i3000000000000000-44-442002-2-2−2i32i32i3−2i322-2-2-2-222000000-1-11111-1-10000−i3i3i3−i3−i3i3i3−i3000000000000000
χ1144-44-4-200-2222i3−2i3−2i32i31+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i3200003−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32000000000000000-44-442002-2-2−2i32i32i3−2i3−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i30000001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i320000−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i32000000000000000
χ1154-44-4-200-2222i3−2i3−2i32i31−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i320000−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32000000000000000-44-442002-2-2−2i32i32i3−2i3−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i30000001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i3200003+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32000000000000000
χ1164-4-44-24i−4i22-2−2i2i−2i2i-2-222-2-22200000011-11-11-1-12i−2i2i−2i−ii−ii−ii−ii000000000000000-444-42−4i4i-2-222i−2i2i−2i22-2-222-2-2000000-1-11-11-111−2i2i−2i2ii−ii−ii−ii−i000000000000000
χ1174-4-44-24i−4i22-2−2i2i−2i2i1+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i322ζ11−2ζ112ζ7−2ζ7−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7000000000000000-444-42−4i4i-2-222i−2i2i−2i−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−2ζ112ζ11−2ζ72ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7000000000000000
χ1184-4-44-24i−4i22-2−2i2i−2i2i1−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i322ζ7−2ζ72ζ11−2ζ11−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11000000000000000-444-42−4i4i-2-222i−2i2i−2i−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−2ζ72ζ7−2ζ112ζ11ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11000000000000000
χ1194-4-44-2−4i4i22-22i−2i2i−2i-2-222-2-22200000011-11-11-1-1−2i2i−2i2ii−ii−ii−ii−i000000000000000-444-424i−4i-2-22−2i2i−2i2i22-2-222-2-2000000-1-11-11-1112i−2i2i−2i−ii−ii−ii−ii000000000000000
χ1204-4-44-2−4i4i22-22i−2i2i−2i1+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−2ζ112ζ11−2ζ72ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7000000000000000-444-424i−4i-2-22−2i2i−2i2i−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i322ζ11−2ζ112ζ7−2ζ7−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7000000000000000
χ1214-4-44-2−4i4i22-22i−2i2i−2i1−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−2ζ72ζ7−2ζ112ζ11ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11000000000000000-444-424i−4i-2-22−2i2i−2i2i−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i322ζ7−2ζ72ζ11−2ζ11−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11000000000000000
χ1226666-366-3-3-3-3-3-3-300000000-2-2000000000000000000000000-211110000000000-6-6-6-63-6-6333333300000000220000000000000000000000002-1-1-1-10000000000
χ1236666-3-6-6-3-3-3333300000000-2-2000000000000000000000000211-1-10000000000-6-6-6-6366333-3-3-3-30000000022000000000000000000000000-2-1-1110000000000
χ12466-6-6600-66-6000000000000-220000000000000000000000000-22000000000000-6-666-6006-660000000000002-200000000000000000000000002-2000000000000
χ12566-6-6-3003-333333−33−3300000000-2200000000000000000000000001-1−330000000000-6-666300-33-3−33−333333000000002-20000000000000000000000000-113−30000000000
χ12666-6-6-3003-33−33−33333300000000-2200000000000000000000000001-13−30000000000-6-666300-33-33333−33−33000000002-20000000000000000000000000-11−330000000000

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