Finite Group Databasebeta

← Group #13147808

Character table — Group #13147808

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order12223444444666121212121212121212121212336666664444366612121212121212121212121212121212121212121212121222444466661212121212121212121212122244444466121212121212
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
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-111
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-1111-11-1-1-111
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1-11-1111-1-1
χ911111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-11-111-1-11-11-1
χ1011111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-11-1-111-11-11
χ1111111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11-1111-1-1-11-11
χ1211111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1111-11-1-1-1111-11-1
χ1311111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-111-1-11
χ1411111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1-111-1
χ1511111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11-1-11-111-11-1-11-111-1
χ1611111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-111-11-1-11-111-11-1-11
χ17222222222222222222222222222-12-1-122-10000-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000022220000-1-1-1-10000
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χ212222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-1-122-10000-1-1-1-1-1-1-2-2112211-2-2-1-1-1-11111111100000000000000000000002-22-20000-11-110000
χ222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-1-122-10000-1-1-1-1-1-1-2-2112211-2-2-1-1-1-1111111110000000000000000000000-22-2200001-11-10000
χ232222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-122-1-120000-1-1-1-12211-2-2-1-1-2-211-1-1-1-1111111110000000000000000000000000022-2-20000-1-111
χ242222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-122-1-120000-1-1-1-12211-2-2-1-1-2-211-1-1-1-11111111100000000000000000000000000-2-222000011-1-1
χ2522222-2-222-2-2222-2-2-2-22222-2-2-2-22-12-1-122-10000-1-1-1-1112211-2-2-1-1-2-21111-1-1-1-11111000000000000000000000022-2-20000-1-1110000
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χ2722222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-122-1-120000-1-1-1-1-2-2-1-1-2-21122111111-1-1-1-11111000000000000000000000000002-22-20000-11-11
χ2822222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-122-1-120000-1-1-1-1-2-2-1-1-2-21122111111-1-1-1-1111100000000000000000000000000-22-2200001-11-1
χ2922222-2-2-2-222222-2-2-2-2-2-2-2-222222-12-1-122-10000-1-1-1-111-2-2-1-1-2-2112211111111-1-1-1-100000000000000000000002-2-220000-111-10000
χ3022222-2-2-2-222222-2-2-2-2-2-2-2-222222-12-1-122-10000-1-1-1-111-2-2-1-1-2-2112211111111-1-1-1-10000000000000000000000-222-200001-1-110000
χ3122222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-122-1-120000-1-1-1-1-2-2112211-2-2-1-111111111-1-1-1-1000000000000000000000000002-2-220000-111-1
χ3222222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-122-1-120000-1-1-1-1-2-2112211-2-2-1-111111111-1-1-1-100000000000000000000000000-222-200001-1-11
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χ966-66-6-300-66003-33−333333−3333-3-333−3333−3300000000−2i2i−2i2i0000000000000000000000000000002i−2i00−i3i3i3−i3i−ii−i−i−iiii3−i3i3−i30000000000000000
χ976-6-66-36i−6i000033-3−3i−3i3i3i33−33−33333i3−3i3−3i33i3000000002i−2i−2i2i00000000000000000000000000002-20000-1-111−iii−ii3−i3−i3i33−3−330000000000000000
χ986-6-66-36i−6i000033-3−3i−3i3i3i33−33−33333i3−3i3−3i33i300000000−2i2i2i−2i0000000000000000000000000000-22000011-1-1i−i−ii−i3i3i3−i3−333−30000000000000000
χ996-6-66-36i−6i000033-3−3i−3i3i3i−333333−33−3i33i33i3−3i3000000002i−2i−2i2i00000000000000000000000000002-20000-1-111−iii−i−i3i3i3−i3−333−30000000000000000
χ1006-6-66-36i−6i000033-3−3i−3i3i3i−333333−33−3i33i33i3−3i300000000−2i2i2i−2i0000000000000000000000000000-22000011-1-1i−i−iii3−i3−i3i33−3−330000000000000000
χ1016-6-66-3−6i6i000033-33i3i−3i−3i33−33−3333−3i33i33i3−3i3000000002i−2i−2i2i0000000000000000000000000000-22000011-1-1−iii−ii3−i3−i3i3−333−30000000000000000
χ1026-6-66-3−6i6i000033-33i3i−3i−3i33−33−3333−3i33i33i3−3i300000000−2i2i2i−2i00000000000000000000000000002-20000-1-111i−i−ii−i3i3i3−i33−3−330000000000000000
χ1036-6-66-3−6i6i000033-33i3i−3i−3i−333333−333i3−3i3−3i33i3000000002i−2i−2i2i0000000000000000000000000000-22000011-1-1−iii−i−i3i3i3−i33−3−330000000000000000
χ1046-6-66-3−6i6i000033-33i3i−3i−3i−333333−333i3−3i3−3i33i300000000−2i2i2i−2i00000000000000000000000000002-20000-1-111i−i−iii3−i3−i3i3−333−30000000000000000

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