Finite Group Databasebeta

← Group #13171977

Character table — Group #13171977

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666662333666666666664436666666666666662444412121212121212122244444466661212121212121212121212121212121244661212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-1111111-1-1-1-1-1-1-1-11111111-1-1-111111111-1-1-1-1-11-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-111-111111-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-111111-111-1-1-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-1111111111111111111-111-1-1-1-11111-1-11111-1-11111-1111-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-11-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-1-1-11-111-1-1-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-11-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-11111-1-1111111-1-1-1-11111-11-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-1111-1-1
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11111111111-1-11111-1-1-1-1-11-1-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1111-1-111-1-1111-1-1-11111-1-111-11-1
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-11-1-1-111-1-111-1-11-1-1-11111-1-1-1-1-111
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-1-1-1-1-1-1-1-111-1-1111111111-1111-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1111111-1
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1111-1-111-1-1-1-11-11
χ17222222-1222-1-122-122-1-1222-1-122-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-1-10220222-1-100-1-1220000000000-122-120-1-1-1-100-1-1-1-120-1-1000000000-10
χ18222222-1222-1-122-122-1-1222-1-122-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-1-10-220-222-1-10011-2-20000000000-1-2-2120-1-1-1-1001111-201100000000010
χ19222222-1222-1-122-122-1-1222-1-122-1-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-1-102-202-2-21100-1-1-2-20000000000122-1-20111100-1-1-1-1-201100000000010
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χ2522222-1222-122-1-12222-1-1222-1-1-122-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-120220-1-122-1-100000000222-1-1-12000-12-1-1-1-1-1-100000200-1-1000000-100
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χ362222-122-1-1222222-12-12-1-1-1-12-1-1-1-122-100-122-1-122-1-1-1-1-1-1-1-1-1-2-20-2-20000-2-2-2-2002222001-211011-2010000111111000000-1-1-1-100000
χ372222-122-1-1222222-1-2-12-111-12-1-1-1-122-100-1-2-211-2-211-1-1-11111220-2-20000-2-2220022-2-200-12-1-10-11-201000011-1-111000000-1-11100000
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χ1008-88-8-4-4-44444-44-44-40222−4i34i32-2-2-2-2-2-22200-1002i3−2i3002i3−2i311-1−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-44444-44-44-402224i3−4i32-2-2-2-2-2-22200-100−2i32i300−2i32i311-1i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-44-4-8-448-84402-4-400-2-44-4-2244400200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-484-448-8-44-840-4-42004-4-224-444-200200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44-44-4444022200-22-22-22-2-2-200-100006-6001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44-44-4444022200-22-22-22-2-2-200-10000-66001-113-33-300000000000000000000000000000000000000000000000000000000

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