Finite Group Databasebeta

← Group #13150736

Character table — Group #13150736

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order122222344446666666121212121212121233666666444436666666666612121212121212121212121212121212444444121212121212121212121212121212122244444466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-111-1-11-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-1-111-11
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1111-1-1-1111-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1111-1-1-11
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ91111-1-1111-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1111-11-1-1-1
χ101111-1-1111-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-11-1111
χ111111-1-1111-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-111-1-111-11-1-11-11
χ121111-1-1111-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-11-111-11-1
χ131111-1-11-1-111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-11-1-111-1-11
χ141111-1-11-1-111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-11-111-1-111-1
χ151111-1-11-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1111-11-11-1-1
χ161111-1-11-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-1-1-11-11-111
χ17222222222222222222222222222-122-1-12-10000-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000000000000000000000020200220-100-1-10-1
χ18222222222222222222222222222-122-1-12-10000-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000000000000000000-20-200-2-201001101
χ1922222222222222222222222222-12-1-122-120000-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000000000000000000020202200-10-1-100-10
χ2022222222222222222222222222-12-1-122-120000-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000000000000000000-20-20-2-20010110010
χ212222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-12-10000-122-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000000000000000000000020200-2-20-100110-1
χ222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-12-10000-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000000000000000000-20-200220100-1-101
χ232222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-120000-1-1-122-1-1-1-1-1-1-111-2-211-2-21111111100000000000000000000002020-2-200-101100-10
χ242222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-120000-1-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000000000000000000000-20-20220010-1-10010
χ252222-2-2222-2-2-2-2-2-22222222-2-2-2-22-122-1-12-10000-1-2-211-1-11111-122-1-1-2-211-1-1-1-111110000000000000000000000020-2002-20-100-1101
χ262222-2-2222-2-2-2-2-2-22222222-2-2-2-22-122-1-12-10000-1-2-211-1-11111-122-1-1-2-211-1-1-1-1111100000000000000000000000-20200-2201001-10-1
χ272222-2-2222-2-2-2-2-2-22222222-2-2-2-2-12-1-122-120000-111-2-2-1-11111-1-1-12211-2-2-1-1-1-11111000000000000000000000020-202-200-10-110010
χ282222-2-2222-2-2-2-2-2-22222222-2-2-2-2-12-1-122-120000-111-2-2-1-11111-1-1-12211-2-2-1-1-1-111110000000000000000000000-2020-2200101-100-10
χ292222-2-22-2-222-2-2-2-2222-2-2-2-222222-122-1-12-10000-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-10000000000000000000000020-200-220-1001-101
χ302222-2-22-2-222-2-2-2-2222-2-2-2-222222-122-1-12-10000-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-100000000000000000000000-202002-20100-110-1
χ312222-2-22-2-222-2-2-2-2222-2-2-2-22222-12-1-122-120000-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-1000000000000000000000020-20-2200-101-10010
χ322222-2-22-2-222-2-2-2-2222-2-2-2-22222-12-1-122-120000-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000000000000000000000-20202-20010-1100-10
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χ464444444-4-4-4-44444444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-200001-2-2-2-2111111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ474444-4-4444-4-4-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-200001222211-1-1-1-11-2-2-2-222221111-1-1-1-100000000000000000000000000000000000000
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χ966-66-600-300−6i6i3i3−3i33i3−3i33-3333−33−33333i3i−3i−3i00000000-22-22000000000000000000000000000000002i−2i1-11-1−i3i3−i3i33−3−33−i−iii0000000000000000
χ976-6-6600-36i−6i00−3i33i33i3−3i333-3−3i−3i3i3i33−33−3333000000002i−2i−2i2i0000000000000000000000000000002-200−iii−i3−3−33-1-111i3−i3−i3i30000000000000000
χ986-6-6600-36i−6i00−3i33i33i3−3i333-3−3i−3i3i3i33−33−333300000000−2i2i2i−2i000000000000000000000000000000-2200i−i−ii−333−311-1-1−i3i3i3−i30000000000000000
χ996-6-6600-36i−6i003i3−3i3−3i33i333-3−3i−3i3i3i−333333−33000000002i−2i−2i2i0000000000000000000000000000002-200−iii−i−333−3-1-111−i3i3i3−i30000000000000000
χ1006-6-6600-36i−6i003i3−3i3−3i33i333-3−3i−3i3i3i−333333−3300000000−2i2i2i−2i000000000000000000000000000000-2200i−i−ii3−3−3311-1-1i3−i3−i3i30000000000000000
χ1016-6-6600-3−6i6i00−3i33i33i3−3i333-33i3i−3i−3i−333333−33000000002i−2i−2i2i000000000000000000000000000000-2200−iii−i3−3−3311-1-1−i3i3i3−i30000000000000000
χ1026-6-6600-3−6i6i00−3i33i33i3−3i333-33i3i−3i−3i−333333−3300000000−2i2i2i−2i0000000000000000000000000000002-200i−i−ii−333−3-1-111i3−i3−i3i30000000000000000
χ1036-6-6600-3−6i6i003i3−3i3−3i33i333-33i3i−3i−3i33−33−3333000000002i−2i−2i2i000000000000000000000000000000-2200−iii−i−333−311-1-1i3−i3−i3i30000000000000000
χ1046-6-6600-3−6i6i003i3−3i3−3i33i333-33i3i−3i−3i33−33−333300000000−2i2i2i−2i0000000000000000000000000000002-200i−i−ii3−3−33-1-111−i3i3i3−i30000000000000000

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