Finite Group Databasebeta

← Group #13172686

Character table — Group #13172686

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666224444121212123666666666666244666612121212121212121212121212121212121222446666661212121212122444661212121222612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-111111111111111-1-1-1-111-1-11-111-1-1-1-11-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1-1-1-1-1111-111
χ51111111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1111111-1-11111111111-1-1-1-111-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-11-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-1-111-1-11-111-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1111
χ101111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-1-11-1111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-11-1-1111-11-1-1-11111111-1-1-1
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-11111-1-11111-1-111-1-1-1-111111111-1-111-1-1-11-1-111-11-1-11111-1-1-1-1-1-111
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-11-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1111-111-1-1-11-1-11111-1-111-1-11-1
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-11
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1111-111-1-11-11-1-1-11111-1-11-1-11
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1111-1-1-1-11111-111-1
χ17222222-1222-1-122-122-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-12200000-1-1-1-1220022-1-1-1-1-1-1-1-100002-100-1-10-100-1-1220000000000-10-10
χ18222222-1222-1-122-122-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-1-2-200000-1-1-1-1-2-20022-1-1-1-1-1-1-1-10000-210011010011-2-200000000001010
χ19222222-1222-1-122-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1220000011112200-2-21111111100002-100-1-10-100-1-1-2-200000000001010
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χ21222222-1222-1-122-12-2-12-1-2-211-1-1111122-1-12-1-10022-2-22222-1-2-2-211-1-1-111112-200000-1-111-2-200-2-2-1-1-1-1111100002-100-1-1010011-22000000000010-10
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χ2522222-122-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-100222-1-1222200-1-1-1-1-1-1-1-1-1-1-1-1220000-1-10020-1-1000020-1-100-1-1000000
χ2622222-122-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-100222-1-1-2-2-2-200-1-11111111111-2-20000-1-10020-1-10000-20110011000000
χ2722222-122-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-22222-1-1-1-1-12-1-122-1-1-1-1-1-1-100-2-2-21122220011-1-1-1-1-1-1-1-1-1-1-2-200001100-20110000-20110011000000
χ2822222-122-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-100-2-2-211-2-2-2-2001111111111112200001100-2011000020-1-100-1-1000000
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χ372222-122-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122200000000-111111-1-1-111112-2-2-1-122000011-2-2000000000000-2-2-12-1-1-1-11-211110002001100000-100
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χ492-2-222-12-211-222-2-2-10-1-12−i3i30011−i3−i3i3i311-22-1-2-12-2002-2−i3i3−i3i3-10−i3i3001-11−i3−i3i3i30002-2-11002-200−i3i3-11−i3i3−i3i3-1-1112-20000-110000−i3i3000000-1100−i3i3000000
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χ552-2-222-12-211-222-2-2-10-1-12i3−i30011i3i3−i3−i311-22-1-2-1-22002-2i3−i3i3−i3-10i3−i3001-11i3i3−i3−i3000-221-1002-200−i3i3-11i3−i3i3−i3-1-111-2200001-10000−i3i30000001-100−i3i3000000
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χ1178-8-88-4-4-44444-4-444-402224i3−4i300-2-2−2i3−2i32i32i3-2-2-222-220000000000-10−2i32i3001-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000

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