Finite Group Databasebeta

← Group #13150892

Character table — Group #13150892

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order1222223444466666661212121212121212336666662222366666666666121212121212121212121212121212122244446666666612121212121212122244444466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11-111-1-11-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-11-1-111-11
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1111-11-1-1-1111-1
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1111-1-1-11-1111-1-1-11
χ91111-1-1111-1-111-1-1-1-111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-11-1-1-1111-11-1-1-1
χ101111-1-1111-1-111-1-1-1-111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1111-1-1-11-1111
χ111111-1-1111-1-111-1-1-1-111111-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-11
χ121111-1-1111-1-111-1-1-1-111111-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-1
χ131111-1-11-1-11111-1-1-1-11-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-11-11-1-111-11-11-1-1
χ141111-1-11-1-11111-1-1-1-11-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-11-111-1-11-11-111
χ151111-1-11-1-11111-1-1-1-11-1-1-1-1111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-111-1-111-1-11
χ161111-1-11-1-11111-1-1-1-11-1-1-1-1111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-111-1-111-1
χ17222222222222222222222222222-122-1-12-10000-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000000000000000000000020022020-100-1-10-1
χ18222222222222222222222222222-122-1-12-10000-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000000000000000000-200-2-20-201001101
χ1922222222222222222222222222-12-1-122-120000-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000000000000000000020220020-10-1-100-10
χ2022222222222222222222222222-12-1-122-120000-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000000000000000000-20-2-200-2010110010
χ212222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-12-10000-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000000000000000000200-2-2020-100110-1
χ222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-12-10000-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000000000000000000-200220-20100-1-101
χ232222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-120000-1-1-122-1-1-1-1-1-1-111-2-211-2-211111111000000000000000000000020-2-20020-101100-10
χ242222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-120000-1-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000000000000000000000-202200-2010-1-10010
χ252222-2-2222-2-222-2-2-2-222222-2-2-2-22-122-1-12-10000-1-2-211-1-11111-122-1-1-2-211-1-1-1-11111000000000000000000000002002-20-20-100-1101
χ262222-2-2222-2-222-2-2-2-222222-2-2-2-22-122-1-12-10000-1-2-211-1-11111-122-1-1-2-211-1-1-1-1111100000000000000000000000-200-220201001-10-1
χ272222-2-2222-2-222-2-2-2-222222-2-2-2-2-12-1-122-120000-111-2-2-1-11111-1-1-12211-2-2-1-1-1-111110000000000000000000000202-200-20-10-110010
χ282222-2-2222-2-222-2-2-2-222222-2-2-2-2-12-1-122-120000-111-2-2-1-11111-1-1-12211-2-2-1-1-1-111110000000000000000000000-20-220020101-100-10
χ292222-2-22-2-22222-2-2-2-22-2-2-2-222222-122-1-12-10000-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-100000000000000000000000200-220-20-1001-101
χ302222-2-22-2-22222-2-2-2-22-2-2-2-222222-122-1-12-10000-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-100000000000000000000000-2002-2020100-110-1
χ312222-2-22-2-22222-2-2-2-22-2-2-2-22222-12-1-122-120000-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-1000000000000000000000020-2200-20-101-10010
χ322222-2-22-2-22222-2-2-2-22-2-2-2-22222-12-1-122-120000-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000000000000000000000-202-2002010-1100-10
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χ976-6-666-6-3000033-3-333-3−3i33i33i3−3i3−3i33i33i3−3i3000000002-2-2200000000000000000000000000002-20000-111-1-1-111−i3i3i3−i3−i3i3i3−i30000000000000000
χ986-6-666-6-3000033-3-333-3−3i33i33i3−3i3−3i33i33i3−3i300000000-222-20000000000000000000000000000-2200001-1-1111-1-1i3−i3−i3i3i3−i3−i3i30000000000000000
χ996-6-666-6-3000033-3-333-33i3−3i3−3i33i33i3−3i3−3i33i3000000002-2-2200000000000000000000000000002-20000-111-1-1-111i3−i3−i3i3i3−i3−i3i30000000000000000
χ1006-6-666-6-3000033-3-333-33i3−3i3−3i33i33i3−3i3−3i33i300000000-222-20000000000000000000000000000-2200001-1-1111-1-1−i3i3i3−i3−i3i3i3−i30000000000000000
χ1016-6-66-66-300003333-3-3-3−3i33i33i3−3i33i3−3i3−3i33i3000000002-2-220000000000000000000000000000-220000-111-111-1-1−i3i3i3−i3i3−i3−i3i30000000000000000
χ1026-6-66-66-300003333-3-3-3−3i33i33i3−3i33i3−3i3−3i33i300000000-222-200000000000000000000000000002-200001-1-11-1-111i3−i3−i3i3−i3i3i3−i30000000000000000
χ1036-6-66-66-300003333-3-3-33i3−3i3−3i33i3−3i33i33i3−3i3000000002-2-220000000000000000000000000000-220000-111-111-1-1i3−i3−i3i3−i3i3i3−i30000000000000000
χ1046-6-66-66-300003333-3-3-33i3−3i3−3i33i3−3i33i33i3−3i300000000-222-200000000000000000000000000002-200001-1-11-1-111−i3i3i3−i3i3−i3−i3i30000000000000000

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