Finite Group Databasebeta

← Group #13147867

Character table — Group #13147867

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order1222344444466612121212121212121212121233666666222236661212121212121212121212121212121212121212121212124444446666121212121212121212121212444444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ911111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ1011111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ1111111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-11
χ1211111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-1
χ1311111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ1411111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ1511111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1
χ1611111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11
χ17222222222222222222222222222-12-122-1-10000-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000022220000-1-1-1-1
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χ2822222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-12-1-1220000-1-1-1-111-2-2-1-12211-2-21111-1-1-1-111110000000000000000000000-22-2200001-11-10000
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χ3022222-2-2-2-222222-2-2-2-2-2-2-2-222222-12-122-1-10000-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-100000000000000000000000000-222-200001-1-11
χ3122222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-12-1-1220000-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-100000000000000000000002-2-220000-111-10000
χ3222222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-12-1-1220000-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-10000000000000000000000-222-200001-1-110000
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χ996-6-66-3006i−6i0033-3−333333−33−3i−3i3i3i−3i33i33i3−3i3000000002-2-220000000000000000000000000000002i−2i00-111-1−333−3−i−iii−i3i3i3−i30000000000000000
χ1006-6-66-3006i−6i0033-3−333333−33−3i−3i3i3i−3i33i33i3−3i300000000-222-2000000000000000000000000000000−2i2i001-1-113−3−33ii−i−ii3−i3−i3i30000000000000000
χ1016-6-66-300−6i6i0033-333−33−33333i3i−3i−3i−3i33i33i3−3i3000000002-2-22000000000000000000000000000000−2i2i00-111-13−3−33ii−i−i−i3i3i3−i30000000000000000
χ1026-6-66-300−6i6i0033-333−33−33333i3i−3i−3i−3i33i33i3−3i300000000-222-20000000000000000000000000000002i−2i001-1-11−333−3−i−iiii3−i3−i3i30000000000000000
χ1036-6-66-300−6i6i0033-3−333333−333i3i−3i−3i3i3−3i3−3i33i3000000002-2-22000000000000000000000000000000−2i2i00-111-1−333−3ii−i−ii3−i3−i3i30000000000000000
χ1046-6-66-300−6i6i0033-3−333333−333i3i−3i−3i3i3−3i3−3i33i300000000-222-20000000000000000000000000000002i−2i001-1-113−3−33−i−iii−i3i3i3−i30000000000000000

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