Finite Group Databasebeta

← Group #13147810

Character table — Group #13147810

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order12223444444666121212121212121212121212336666664444366612121212121212121212121212121212121212121212121222444466661212121212121212121212122244444466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11-1111-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-11-1-1-1111
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-111-11-11-1-111-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-11-11-111-1-11
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-11111-1
χ911111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-11-11-1-111-11-11-1-1
χ1011111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-111-1-11-11-111
χ1111111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1111-1-11-1-111
χ1211111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-111-1-1-111-111-1-1
χ1311111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-111-111-1-1-111-11
χ1411111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-11-1-1111-1-11-1
χ1511111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111-1-11-11-111-1-11-11-1
χ1611111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-1-111-11-11
χ17222222222222222222222222222-1222-1-1-10000-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000020002220-1000-1-1-1
χ18222222222222222222222222222-1222-1-1-10000-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000-2000-2-2-201000111
χ1922222222222222222222222222-12-1-1-12220000-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000020222000-10-1-1-1000
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χ222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-1222-1-1-10000-1-1-1-122-1-1-2-211-2-211-1-1-1-11111111100000000000000000000000-200022-201000-1-11
χ232222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-1-12220000-1-1-1-1-1-12211-2-211-2-2-1-1-1-1111111110000000000000000000000202-2-2000-10-111000
χ242222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-1-12220000-1-1-1-1-1-12211-2-211-2-2-1-1-1-1111111110000000000000000000000-20-222000101-1-1000
χ2522222-2-222-2-2222-2-2-2-22222-2-2-2-22-1222-1-1-10000-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110000000000000000000000020002-2-20-1000-111
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χ2722222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-1-1-12220000-1-1-1-111-2-2-1-12211-2-21111-1-1-1-11111000000000000000000000020-22-2000-101-11000
χ2822222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-1-1-12220000-1-1-1-111-2-2-1-12211-2-21111-1-1-1-111110000000000000000000000-202-2200010-11-1000
χ2922222-2-2-2-222222-2-2-2-2-2-2-2-222222-1222-1-1-10000-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-1000000000000000000000002000-22-20-10001-11
χ3022222-2-2-2-222222-2-2-2-2-2-2-2-222222-1222-1-1-10000-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-100000000000000000000000-20002-2201000-11-1
χ3122222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-1-1-12220000-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-1000000000000000000000020-2-22000-1011-1000
χ3222222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-1-1-12220000-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-10000000000000000000000-2022-200010-1-11000
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χ936-66-6-300−6i6i003-3333−33−33333i3i−3i−3i3i3−3i33i3−3i3000000002i−2i2i−2i000000000000000000000000000000-2200−i3i3i3−i3−ii−ii11-1-1−33−330000000000000000
χ946-66-6-300−6i6i003-3333−33−33333i3i−3i−3i3i3−3i33i3−3i300000000−2i2i−2i2i0000000000000000000000000000002-200i3−i3−i3i3i−ii−i-1-1113−33−30000000000000000
χ956-66-6-300−6i6i003-33−333333−333i3i−3i−3i−3i33i3−3i33i3000000002i−2i2i−2i000000000000000000000000000000-2200i3−i3−i3i3−ii−ii11-1-13−33−30000000000000000
χ966-66-6-300−6i6i003-33−333333−333i3i−3i−3i−3i33i3−3i33i300000000−2i2i−2i2i0000000000000000000000000000002-200−i3i3i3−i3i−ii−i-1-111−33−330000000000000000
χ976-6-66-36i−6i000033-3−3i−3i3i3i−3i33i33i3−3i3−333333−33000000002i−2i−2i2i00000000000000000000000000002-20000-1-111−iii−i−333−3−i3i3i3−i30000000000000000
χ986-6-66-36i−6i000033-3−3i−3i3i3i−3i33i33i3−3i3−333333−3300000000−2i2i2i−2i0000000000000000000000000000-22000011-1-1i−i−ii3−3−33i3−i3−i3i30000000000000000
χ996-6-66-36i−6i000033-3−3i−3i3i3i3i3−3i3−3i33i333−33−3333000000002i−2i−2i2i00000000000000000000000000002-20000-1-111−iii−i3−3−33i3−i3−i3i30000000000000000
χ1006-6-66-36i−6i000033-3−3i−3i3i3i3i3−3i3−3i33i333−33−333300000000−2i2i2i−2i0000000000000000000000000000-22000011-1-1i−i−ii−333−3−i3i3i3−i30000000000000000
χ1016-6-66-3−6i6i000033-33i3i−3i−3i−3i33i33i3−3i333−33−3333000000002i−2i−2i2i0000000000000000000000000000-22000011-1-1−iii−i−333−3i3−i3−i3i30000000000000000
χ1026-6-66-3−6i6i000033-33i3i−3i−3i−3i33i33i3−3i333−33−333300000000−2i2i2i−2i00000000000000000000000000002-20000-1-111i−i−ii3−3−33−i3i3i3−i30000000000000000
χ1036-6-66-3−6i6i000033-33i3i−3i−3i3i3−3i3−3i33i3−333333−33000000002i−2i−2i2i0000000000000000000000000000-22000011-1-1−iii−i3−3−33−i3i3i3−i30000000000000000
χ1046-6-66-3−6i6i000033-33i3i−3i−3i3i3−3i3−3i33i3−333333−3300000000−2i2i2i−2i00000000000000000000000000002-20000-1-111i−i−ii−333−3i3−i3−i3i30000000000000000

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