Finite Group Databasebeta

← Group #13172889

Character table — Group #13172889

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order1222223336666666663336666666666666666666441212121236666666666624444661212121212121212121212121212121222444466612121212121212121212122446666121212122212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-11-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-11-11-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-11-1-1-111-1-111-111-1-1-1-111-1-11-11
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-11-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-111111-1-11-11-1-1-1-111-1-11-1-111-1-11111-11-1
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-11-11111-1-1-11-1-1-11111-1-1111-1-1
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-11-1-11-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-11-11-1111-1-1111-1111-1-111-1-1-1-1-111
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-111-111-1-111-1-111-1-1-1-11111-1-111-1-1111-11-11-1-1-111-1-11-1111-1-111-1-111-11-1
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1-11111-1-111-1-111-1-1-1-111111111-1-1111-1-11-11-1-1-1-111-11-1-1-11111-1-1-1-11-11
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1111-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-111-11-11111-1-1-1-11-1-111-1-111-1-1-111
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-11-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-11-11-1111-1-11111-111-1-1-1-111111-1-1
χ1722222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-122202222200000000000000220000-1-1-1-1-1-122-1-1-1-1-1-1200-1-1-1-1000000000
χ1822222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-122-20-2222200000000000000-2-20000-1-1-1-111-2-2-1-11111-2001111000000000
χ1922222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2202-2-2-2-200000000000000-2-200001111-1-12211-1-1-1-1-2001111000000000
χ2022222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-2-2-2-200000000000000220000111111-2-2111111200-1-1-1-1000000000
χ212222222-122-1222-12-12-12-122-1-122-1-12-1-1-1-1-1-122-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-122020-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022222-1-120000-1-100000000000-1-1-1-100000
χ222222222-122-1222-12-12-12-122-1-122-1-12-1-1-1-1-1-122-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-20201111-1-12222-1-1-1-1-1-1-1-100-2-2-2-2-211-200001100000000000111100000
χ232222222-122-1222-12-12-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-21111-122-1-1-1-1-1-1-1-1-1220-20-1-1-1-111-2-2-2-21111111100-2-2-2-22-1-120000-1-100000000000111100000
χ242222222-122-1222-12-12-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-21111-122-1-1-1-1-1-1-1-1-1-2-20-20111111-2-2-2-211111111002222-211-200001100000000000-1-1-1-100000
χ25222222-122-122222-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1222222-1-1-122-1-1-1-1-1-1-100222000022-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-100-1-1-1-10220000000000-1-10
χ26222222-122-122222-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1222222-1-1-122-1-1-1-1-1-1-100-22-2000022-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2110011110-2-20000000000110
χ27222222-122-122222-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-1002-220000-2-2111111111111000000000022-1-100-1-1-1-10-2-20000000000110
χ28222222-122-122222-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-100-2-2-20000-2-21111111111110000000000-2-2110011110220000000000-1-10
χ292222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-111112-220-222-2-200000000000000-2-20000-1-1-11-112-211-1-111200-1-111000000000
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χ322222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111-22-202-2-22200000000000000-2-20000111-11-1-22-1-111-1-1200-1-111000000000
χ332222-2-22-122-1222-12-12-12-1-2-211-2-2-1-121111-1-122-1-122-1-1-1-1-1-2-211-1-1-111112-20-20-1-1111122-2-2-1-1-1-1111100-2-2222-1-1-20000110000000000011-1-100000
χ342222-2-22-122-1222-12-12-12-1-2-211-2-2-1-121111-1-122-1-122-1-1-1-1-1-2-211-1-1-11111-220-2011-1-11122-2-2-1-1-1-111110022-2-2-21120000-1-100000000000-1-11100000
χ352222-2-22-122-1222-12-12-12-1-2-211-2-2-1-121111-1-122-1-1-2-21111-1-2-211-1-1-111112-2020-1-111-1-1-2-2221111-1-1-1-10022-2-22-1-1-200001100000000000-1-11100000
χ362222-2-22-122-1222-12-12-12-1-2-211-2-2-1-121111-1-122-1-1-2-21111-1-2-211-1-1-11111-2202011-1-1-1-1-2-2221111-1-1-1-100-2-222-21120000-1-10000000000011-1-100000
χ372222-2-2-122-122222-12-1-1-1211-2-2-2-2-1-1-1111122-1-12-1222222-111-2-2-1-1-11111002-2-20000-2-2-1-111-1-1-1-1111100000000002-2-1100-1-11102-20000000000-110
χ382222-2-2-122-122222-12-1-1-1211-2-2-2-2-1-1-1111122-1-12-1222222-111-2-2-1-1-1111100-2-220000-2-2-1-111-1-1-1-111110000000000-221-10011-1-10-2200000000001-10
χ392222-2-2-122-122222-12-1-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-2-2-2-2-2-111-2-2-1-1-111110022-200002211-1-11111-1-1-1-100000000002-2-1100-1-1110-2200000000001-10
χ402222-2-2-122-122222-12-1-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-2-2-2-2-2-111-2-2-1-1-1111100-22200002211-1-11111-1-1-1-10000000000-221-10011-1-102-20000000000-110
χ4122-2-22-2222222-2-2-2-2-2-22222-22-22-22-2222-2-2-2-2-2-22-200000022-22-22-2-222-2-200000000000000000000000002i−2i2i−2i0000000000000000000002i−2i2i−2i00000
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χ4722-2-2-22222222-2-2-2-2-2-2222-22-22-222-22-2-222-2-2-2-22-20000002-22-222-2-2-2-22200000000000000000000000002i−2i−2i2i0000000000000000000002i−2i−2i2i00000
χ4822-2-2-22222222-2-2-2-2-2-2222-22-22-222-22-2-222-2-2-2-22-20000002-22-222-2-2-2-2220000000000000000000000000−2i2i2i−2i000000000000000000000−2i2i2i−2i00000
χ4922-2-2-222-122-12-2-21-21-2-12-1-221-1-22-11211-1-111-2-2-110033−3−3-1-221-1-11111-1-100000−i3i3i3−i3−33000033−3−3−3−33300−2i2i2i−2i0−i3i300000i3−i300000000000i−i−ii00000
χ5022-2-2-222-122-12-2-21-21-2-12-1-221-1-22-11211-1-111-2-2-110033−3−3-1-221-1-11111-1-100000i3−i3−i3i3−33000033−3−3−3−333002i−2i−2i2i0i3−i300000−i3i300000000000−iii−i00000
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χ106888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-42222222222222000000-12222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000
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χ1178-8-8800-4-4-4444-4444-4-4222000000-2-2-2-666-62-22-2-22000000-100001-113-3-3300000000000000000000000000000000000000000000000000000000000

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