Finite Group Databasebeta

← Group #11723413

Character table — Group #11723413

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222224444444444444444444444444444444444444444446666121212121212121212121212121212121818181827272727363636365454
order1222333334466666666666666633336666666666661212121212121212121212121212121212121212121212121212444412121212121212121212121212121212444444441212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ6111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ8111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1
χ91-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i11-1-1i−ii−i1-1
χ101-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii-1-111−ii−ii-11
χ111-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiiii−ii−i-1-111i−ii−i-11
χ121-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii−ii−ii11-1-1−ii−ii1-1
χ131-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiiii−i−ii11-1-1i−i−ii-11
χ141-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii−iii−i-1-111−iii−i1-1
χ151-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-1-111i−i−ii1-1
χ161-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i11-1-1−iii−i-11
χ1722222222-1222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022220000-1-1-1-100
χ1822222222-1222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000111100
χ1922222222-1-2-22222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-2111111111111111110000000000000000000022-2-20000-1-11100
χ2022222222-1-2-22222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-21111111111111111100000000000000000000-2-222000011-1-100
χ2122222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-100000000000000
χ2222222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2111-2111-2111-211100000000000000
χ2322222-1-1-12-2-22-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2-2111-2-2-2111111-2-211111122-2-22-1-1-12-1-1-1-2111-211100000000000000
χ2422222-1-1-12-2-22-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2-2111-2-2-2111111-2-2111111-2-222-2111-21112-1-1-12-1-1-100000000000000
χ252222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-100000000000000
χ262222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-21-2111-2111-2111-21100000000000000
χ272222-12-1-12-2-2-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-211-21-211-211-2-2111111-2-2111122-2-2-12-1-1-12-1-11-2111-21100000000000000
χ282222-12-1-12-2-2-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-211-21-211-211-2-2111111-2-21111-2-2221-2111-211-12-1-1-12-1-100000000000000
χ292222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-12-100000000000000
χ302222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-211-2111-2111-2111-2100000000000000
χ312222-1-12-12-2-2-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-21-211-21-21111-2-2111111-2-21122-2-2-1-12-1-1-12-111-2111-2100000000000000
χ322222-1-12-12-2-2-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-21-211-21-21111-2-2111111-2-211-2-22211-2111-21-1-12-1-1-12-100000000000000
χ332222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1200000000000000
χ342222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111-2111-2111-2111-200000000000000
χ352222-1-1-122-2-2-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2-2111-2-2111111-2-2111111-2-222-2-2-1-1-12-1-1-12111-2111-200000000000000
χ362222-1-1-122-2-2-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2-2111-2-2111111-2-2111111-2-2-2-222111-2111-2-1-1-12-1-1-1200000000000000
χ3722-2-22222200-2-2-2-22-2-2-2-2-22222-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000000002i−2i2i−2i000000
χ3822-2-22222200-2-2-2-22-2-2-2-2-22222-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000000−2i2i−2i2i000000
χ392-22-222222002222-2-2-2-2-2-2-2-2-2-222222-22-22-22-22-2-2-2-2000000000000000000000000000000000000000000000000002i−2i−2i2i000000
χ402-22-222222002222-2-2-2-2-2-2-2-2-2-222222-22-22-22-22-2-2-2-200000000000000000000000000000000000000000000000000−2i2i2i−2i000000
χ412-2-222222-12-2-2-2-2-212222-1-2-2-2-21-1-1-1-111111111-1-1-1-12222-1-2-2-2-21-1-1-1-1-1-1-1-111111111000000000000000000002i−2i2i−2i0000−ii−ii00
χ422-2-222222-12-2-2-2-2-212222-1-2-2-2-21-1-1-1-111111111-1-1-1-12222-1-2-2-2-21-1-1-1-1-1-1-1-11111111100000000000000000000−2i2i−2i2i0000i−ii−i00
χ432-2-222222-1-22-2-2-2-212222-1-2-2-2-21-1-1-1-111111111-1-1-1-1-2-2-2-212222-111111111-1-1-1-1-1-1-1-1000000000000000000002i−2i−2i2i0000−iii−i00
χ442-2-222222-1-22-2-2-2-212222-1-2-2-2-21-1-1-1-111111111-1-1-1-1-2-2-2-212222-111111111-1-1-1-1-1-1-1-100000000000000000000−2i2i2i−2i0000i−i−ii00
χ452-2-222-1-1-122-2-2111-22-1-1-12-2111-22-1-1-1-2-21111112-1-1-12-1-1-12-2111-222-1-1-1-1-1-1-2-21111112i−2i2i−2i2i−i−i−i−2iiii2i−i−i−i−2iiii00000000000000
χ462-2-222-1-1-122-2-2111-22-1-1-12-2111-22-1-1-1-2-21111112-1-1-12-1-1-12-2111-222-1-1-1-1-1-1-2-2111111−2i2i−2i2i−2iiii2i−i−i−i−2iiii2i−i−i−i00000000000000
χ472-2-222-1-1-12-22-2111-22-1-1-12-2111-22-1-1-1-2-21111112-1-1-1-2111-22-1-1-12-2-211111122-1-1-1-1-1-12i−2i−2i2i2i−i−i−i−2iiii−2iiii2i−i−i−i00000000000000
χ482-2-222-1-1-12-22-2111-22-1-1-12-2111-22-1-1-1-2-21111112-1-1-1-2111-22-1-1-12-2-211111122-1-1-1-1-1-1−2i2i2i−2i−2iiii2i−i−i−i2i−i−i−i−2iiii00000000000000
χ492-2-22-12-1-122-21-211-2-12-1-121-211-2-12-1-111-2-21111-12-1-1-12-1-121-211-2-1-122-1-1-1-111-2-211112i−2i2i−2i−i2i−i−ii−2iii−i2i−i−ii−2iii00000000000000
χ502-2-22-12-1-122-21-211-2-12-1-121-211-2-12-1-111-2-21111-12-1-1-12-1-121-211-2-1-122-1-1-1-111-2-21111−2i2i−2i2ii−2iii−i2i−i−ii−2iii−i2i−i−i00000000000000
χ512-2-22-12-1-12-221-211-2-12-1-121-211-2-12-1-111-2-21111-12-1-11-211-2-12-1-1211-2-21111-1-122-1-1-1-12i−2i−2i2i−i2i−i−ii−2iiii−2iii−i2i−i−i00000000000000
χ522-2-22-12-1-12-221-211-2-12-1-121-211-2-12-1-111-2-21111-12-1-11-211-2-12-1-1211-2-21111-1-122-1-1-1-1−2i2i2i−2ii−2iii−i2i−i−i−i2i−i−ii−2iii00000000000000
χ532-2-22-1-12-122-211-21-2-1-12-1211-21-2-1-12-11111-2-211-1-12-1-1-12-1211-21-2-1-1-1-122-1-11111-2-2112i−2i2i−2i−i−i2i−iii−2ii−i−i2i−iii−2ii00000000000000
χ542-2-22-1-12-122-211-21-2-1-12-1211-21-2-1-12-11111-2-211-1-12-1-1-12-1211-21-2-1-1-1-122-1-11111-2-211−2i2i−2i2iii−2ii−i−i2i−iii−2ii−i−i2i−i00000000000000
χ552-2-22-1-12-12-2211-21-2-1-12-1211-21-2-1-12-11111-2-211-1-12-111-21-2-1-12-121111-2-211-1-1-1-122-1-12i−2i−2i2i−i−i2i−iii−2iiii−2ii−i−i2i−i00000000000000
χ562-2-22-1-12-12-2211-21-2-1-12-1211-21-2-1-12-11111-2-211-1-12-111-21-2-1-12-121111-2-211-1-1-1-122-1-1−2i2i2i−2iii−2ii−i−i2i−i−i−i2i−iii−2ii00000000000000
χ572-2-22-1-1-1222-2111-2-2-1-1-122111-2-2-1-1-12111111-2-2-1-1-12-1-1-122111-2-2-1-1-1-1-1-122111111-2-22i−2i2i−2i−i−i−i2iiii−2i−i−i−i2iiii−2i00000000000000
χ582-2-22-1-1-1222-2111-2-2-1-1-122111-2-2-1-1-12111111-2-2-1-1-12-1-1-122111-2-2-1-1-1-1-1-122111111-2-2−2i2i−2i2iiii−2i−i−i−i2iiii−2i−i−i−i2i00000000000000
χ592-2-22-1-1-122-22111-2-2-1-1-122111-2-2-1-1-12111111-2-2-1-1-12111-2-2-1-1-122111111-2-2-1-1-1-1-1-1222i−2i−2i2i−i−i−i2iiii−2iiii−2i−i−i−i2i00000000000000
χ602-2-22-1-1-122-22111-2-2-1-1-122111-2-2-1-1-12111111-2-2-1-1-12111-2-2-1-1-122111111-2-2-1-1-1-1-1-122−2i2i2i−2iiii−2i−i−i−i2i−i−i−i2iiii−2i00000000000000
χ6144444-2-2-2-2444-2-2-2-24-2-2-2-24-2-2-2-2-2111-2-2111111-21114-2-2-2-24-2-2-2-2-2-2111111-2-21111110000000000000000000000000000000000
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χ634444-24-2-2-244-24-2-2-2-24-2-2-2-24-2-2-21-21111-2-211111-211-24-2-2-2-24-2-2-211-2-2111111-2-211110000000000000000000000000000000000
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χ664444-2-24-2-2-4-4-2-24-2-2-2-24-2-2-2-24-2-211-211111-2-21111-2122-42222-422-1-1-1-122-1-1-1-1-1-122-1-10000000000000000000000000000000000
χ674444-2-2-24-244-2-2-24-2-2-2-24-2-2-2-24-2111-2111111-2-2111-2-2-2-24-2-2-2-24-2111111-2-2111111-2-20000000000000000000000000000000000
χ684444-2-2-24-2-4-4-2-2-24-2-2-2-24-2-2-2-24-2111-2111111-2-2111-2222-42222-42-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000000000000000000000
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χ7644-4-4-2-24-240022-42422-42-4-2-24-2-4-2-24-2-22-224-4-2222-42000000000000000000000000000000000000000000000000000000000000
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χ7844-4-4-2-24-2-20022-42-222-422-2-24-2211-211-11-1-221-1-1-12-10000000000−3i3i3i−3i00−3i3i−3i3i3i−3i00−3i3i0000000000000000000000000000000000
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χ8144-4-4-2-2-24-200222-4-2222-42-2-2-242111-21-11-11-1-22-1-1-120000000000−3i3i−3i3i3i−3i00−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ824-44-44444-20044442-4-4-4-42-4-4-4-4-2-2-2-2-22-22-22-22-22222000000000000000000000000000000000000000000000000000000000000
χ834-44-44-2-2-24004-2-2-2-4-4222-4-422244-2-2-2-442-22-22-2-4222000000000000000000000000000000000000000000000000000000000000
χ844-44-44-2-2-2-2004-2-2-22-42222-4222-2-21112-2-11-11-112-1-1-10000000000003i−3i3i−3i3i−3i00−3i3i−3i3i−3i3i0000000000000000000000000000000000
χ854-44-44-2-2-2-2004-2-2-22-42222-4222-2-21112-2-11-11-112-1-1-1000000000000−3i3i−3i3i−3i3i003i−3i3i−3i3i−3i0000000000000000000000000000000000
χ864-44-4-24-2-2400-24-2-2-42-422-42-4224-24-2-22-2-442-22-22-422000000000000000000000000000000000000000000000000000000000000
χ874-44-4-24-2-2-200-24-2-222-42222-422-21-211-112-2-11-11-12-1-100000000003i−3i003i−3i−3i3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ884-44-4-24-2-2-200-24-2-222-42222-422-21-211-112-2-11-11-12-1-10000000000−3i3i00−3i3i3i−3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ894-44-4-2-24-2400-2-24-2-422-42-422-424-2-24-22-22-2-442-222-42000000000000000000000000000000000000000000000000000000000000
χ904-44-4-2-24-2-200-2-24-2222-42222-42-211-21-11-112-2-11-1-12-100000000003i−3i−3i3i003i−3i−3i3i3i−3i00−3i3i0000000000000000000000000000000000
χ914-44-4-2-24-2-200-2-24-2222-42222-42-211-21-11-112-2-11-1-12-10000000000−3i3i3i−3i00−3i3i3i−3i−3i3i003i−3i0000000000000000000000000000000000
χ924-44-4-2-2-24400-2-2-24-4222-4-4222-44-2-2-242-22-22-2-44222-4000000000000000000000000000000000000000000000000000000000000
χ934-44-4-2-2-24-200-2-2-242222-42222-4-2111-2-11-11-112-2-1-1-1200000000003i−3i3i−3i−3i3i00−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ944-44-4-2-2-24-200-2-2-242222-42222-4-2111-2-11-11-112-2-1-1-120000000000−3i3i−3i3i3i−3i003i−3i3i−3i−3i3i000000000000000000000000000000000000
χ954-4-444-2-2-2-24-4-422224-2-2-2-2-42222-211122-1-1-1-1-1-1-21114-2-2-2-2-42222-2-211111122-1-1-1-1-1-10000000000000000000000000000000000
χ964-4-444-2-2-2-2-44-422224-2-2-2-2-42222-211122-1-1-1-1-1-1-2111-422224-2-2-2-222-1-1-1-1-1-1-2-21111110000000000000000000000000000000000
χ974-4-44-24-2-2-24-42-4222-24-2-2-22-42221-211-1-122-1-1-1-11-211-24-2-2-22-422211-2-21111-1-122-1-1-1-10000000000000000000000000000000000
χ984-4-44-24-2-2-2-442-4222-24-2-2-22-42221-211-1-122-1-1-1-11-2112-4222-24-2-2-2-1-122-1-1-1-111-2-211110000000000000000000000000000000000
χ994-4-44-2-24-2-24-422-422-2-24-2-222-42211-21-1-1-1-122-1-111-21-2-24-2-222-4221111-2-211-1-1-1-122-1-10000000000000000000000000000000000
χ1004-4-44-2-24-2-2-4422-422-2-24-2-222-42211-21-1-1-1-122-1-111-2122-422-2-24-2-2-1-1-1-122-1-11111-2-2110000000000000000000000000000000000
χ1014-4-44-2-2-24-24-4222-42-2-2-24-2222-42111-2-1-1-1-1-1-122111-2-2-2-24-2222-42111111-2-2-1-1-1-1-1-1220000000000000000000000000000000000
χ1024-4-44-2-2-24-2-44222-42-2-2-24-2222-42111-2-1-1-1-1-1-122111-2222-42-2-2-24-2-1-1-1-1-1-122111111-2-20000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).