Finite Group Databasebeta

← Group #13150666

Character table — Group #13150666

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order12222234444666666612121212121212123366666644443666666666661212121212121212121212121212121244444412121212121212121212121212121212444444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-11
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-111-1
χ91111-1-1111-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1
χ101111-1-1111-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ111111-1-1111-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ121111-1-1111-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ131111-1-11-1-111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-1-111-11-1-11
χ141111-1-11-1-111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-111-1-11-111-1
χ151111-1-11-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11-11-1-11-11-11-111-11-1
χ161111-1-11-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-11-111-11-11-11-1-11-11
χ17222222222222222222222222222-12-12-12-10000-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000000000000000000022002200-1-100-1-1
χ18222222222222222222222222222-12-12-12-10000-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-200-2-200110011
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χ2022222222222222222222222222-12-12-12-120000-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000000000000000000-2-200-2-20011001100
χ212222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-12-12-10000-122-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000000000000000000000002-2002-200-1100-11
χ222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-12-12-10000-122-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000000000000000000000-2200-22001-1001-1
χ232222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-12-12-120000-1-1-122-1-1-1-1-1-1-111-2-211-2-21111111100000000000000000000002-2002-200-1100-1100
χ242222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-12-12-120000-1-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000000000000000000000-2200-22001-1001-100
χ252222-2-2222-2-2-2-2-2-22222222-2-2-2-22-12-12-12-10000-1-2-211-1-11111-122-1-1-2-211-1-1-1-111110000000000000000000000002200-2-2001100-1-1
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χ272222-2-2222-2-2-2-2-2-22222222-2-2-2-2-12-12-12-120000-111-2-2-1-11111-1-1-12211-2-2-1-1-1-1111100000000000000000000002200-2-2001100-1-100
χ282222-2-2222-2-2-2-2-2-22222222-2-2-2-2-12-12-12-120000-111-2-2-1-11111-1-1-12211-2-2-1-1-1-111110000000000000000000000-2-2002200-1-1001100
χ292222-2-22-2-222-2-2-2-2222-2-2-2-222222-12-12-12-10000-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-10000000000000000000000002-200-22001-100-11
χ302222-2-22-2-222-2-2-2-2222-2-2-2-222222-12-12-12-10000-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000000000000000000000-22002-200-11001-1
χ312222-2-22-2-222-2-2-2-2222-2-2-2-22222-12-12-12-120000-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-100000000000000000000002-200-22001-100-1100
χ322222-2-22-2-222-2-2-2-2222-2-2-2-22222-12-12-12-120000-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000000000000000000000-22002-200-11001-100
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χ3422-2-22-22000022-2-2-22-2000000002222-2-2-2-2-2-22222-22-22-222-2-2-20000000000000000-220000-2-222-2-222000000000000000000000000
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χ1016-6-6600-300−6i6i−3i33i33i3−3i333-3−333333−333i3i−3i−3i000000002i−2i−2i2i00000000000000000000000000000000-22−iii−i3−3−33−i3i3i3−i311-1-10000000000000000
χ1026-6-6600-300−6i6i−3i33i33i3−3i333-3−333333−333i3i−3i−3i00000000−2i2i2i−2i000000000000000000000000000000002-2i−i−ii−333−3i3−i3−i3i3-1-1110000000000000000
χ1036-6-6600-300−6i6i3i3−3i3−3i33i333-333−33−33333i3i−3i−3i000000002i−2i−2i2i00000000000000000000000000000000-22−iii−i−333−3i3−i3−i3i311-1-10000000000000000
χ1046-6-6600-300−6i6i3i3−3i3−3i33i333-333−33−33333i3i−3i−3i00000000−2i2i2i−2i000000000000000000000000000000002-2i−i−ii3−3−33−i3i3i3−i3-1-1110000000000000000

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