Finite Group Databasebeta

← Group #13172285

Character table — Group #13172285

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444666666666666888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636363636363636363636363636363636108108
order122222333666666666333666666666666666666622226666666636666666666622446666666666666666121212126666661212121212122244446666121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-11-1111111-1-11111111111-1-11-111-1-11-111-1-11-1-1-11-111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-11-111111-1-11111111111-1-111-11-1-111-11-1-111-11-1-1-11-1-111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-11-111-1-1-11-1-1-11-1-111-1-111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-1-111-11-1-1111-1-1-11-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-1111-1-1-1-11111-1-11-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-1-1-1111-111-1-1-11-1-11111-11-1-11111-1-1-1-1-1-111-11
χ111111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-111-111-1-1-1-1111111-1-1-1-111-1-1-11-1-1111-111-1-1-1-1-1111-1-1-1-11111-1-111-11
χ121111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-111-11-1-1-11111-1-111-1-11-1
χ131111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-11
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χ151111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1-1-111-1-111-1-1-1-1111111-1-1-11-1-1111-111-1-111-11-1-11111-1-1-1-1-1-1111-1
χ161111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-11-1-1111-1-1-1-11111-1-1-11
χ1722222222-1222-1-122-122-1-12222-1-122-1-1-1-1-1-1-1-1-12-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-10202-1-12200-1-1-1-1-1-1-1-1-1-100-1-10200-1-10200-1-102000200-1-100-1-1000000
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χ212222222-122-1-1222-122-12-122-1-122-1-122-1-1-1-1-1-1-1-122222-1-1-1-12222-1-1-122-1-1-1-1-1-1-1202022-1-1-1-100-1-1-1-1-1-1-1-1-1-10020-1-10020-1-100200020-1-100-1-100000000
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χ232222222-122-1-1222-122-12-122-1-122-1-122-1-1-1-1-1-1-1-12-2-2-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-12020-2-211-1-10011111111-1-10020-1-10020-1-100-2000-2011001100000000
χ242222222-122-1-1222-122-12-122-1-122-1-122-1-1-1-1-1-1-1-12-2-2-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-1-20-20-2-2111100111111111100-201100-201100200020-1-100-1-100000000
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χ26222222-122-12222-122-1-1-12-1-12222-1-1-1-12222222-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-12-22-2000022-2-20000000022-2-2-11-1-111-11-1-11100-2-20000000000111100
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χ28222222-122-12222-122-1-1-12-1-12222-1-1-1-12222222-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-200000000-2-2-2-211111111111100220000000000-1-1-1-100
χ292222-2-222-1222-1-122-122-1-1-2-2-2-21122-1-1-1-1-111112-122-2-222221111-1-2-211-1-1-11111020-2-1-1-2-200-1-1-1-1-1-1111100110200-1-10-200110-20002001100-1-1000000
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χ312222-2-222-1222-1-122-122-1-1-2-2-2-21122-1-1-1-1-111112-1-2-222-2-2-2-2-1-1-1-1-1-2-211-1-1-11111020-2112200-1-11111-1-1-1-100110200-1-10-2001102000-200-1-10011000000
χ322222-2-222-1222-1-122-122-1-1-2-2-2-21122-1-1-1-1-111112-1-2-222-2-2-2-2-1-1-1-1-1-2-211-1-1-111110-202112200111111-1-1-1-100-1-10-200110200-1-10-20002001100-1-1000000
χ332222-2-22-122-1-1222-122-12-1-2-211-2-2-1-122-1-1-11111-1222-2-2-1-1-1-1-2-2-2-2-111-2-2-1-1-1111120-202211-1-100-1-1-1-11111110020-1-100-2011002000-20-1-1001100000000
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χ362222-2-22-122-1-1222-122-12-1-2-211-2-2-1-122-1-1-11111-12-2-22211112222-111-2-2-1-1-11111-2020-2-2-1-111001111-1-1-1-1-1-100-20110020-1-1002000-20-1-1001100000000
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χ412-22-22-2222-2-2-2-2-2222-22222-22-22-2-2-2-2-22-2-222-2-2222-22-222-2-222-2-222-22-22-2-222-2-200002-22-2000022-2-222-2-2000000000000000000000000000000000000
χ422-22-22-2222-2-2-2-2-2222-22222-22-22-2-2-2-2-22-2-222-2-222-22-22-2-222-2-22222-22-22-2-222-2-20000-22-220000-2-222-2-222000000000000000000000000000000000000
χ432-22-22-222-1-2-2-21122-1-22-1-12-22-2-11-2-211-111-1-1112-12-22-222-2-2-1-111-12-2-11-111-1-1110000-112-200−i3i3-1-111-1-11100−i3i30000−i3i30000−i3i300000000−i3i300−i3i3000000
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Here i is the imaginary unit (i² = −1).