Finite Group Databasebeta

← Group #13170575

Character table — Group #13170575

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
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order122333446661212333666666121212121212121212121236666661212121212121222224466668812121212244661212666666121212121212242424242424242444446121212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111-1-11-11-111-1-11111-1-1-1-1-1-1-1-1-11-111-1-11-111-1-11111111111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111111111111111111-1-11-11-111-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111111111111111111111111111-1-1-11-11-1-11111-1-111-1-1-1-1-1-1-1-11-1-111-11-1-11111111111-1-111-1-1-1-111-1-1
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χ988-80-4-4800-844002-4-4000-244000000000−6i6i200000-2000−6i6i000000000000000000000000000000000000000000000000000000000
χ998-80-4-4-40044443−43222000-2-2-2000−2323−2323006i−6i-1000−3i33i31000−3i3i3−30000000000000000000000000000000000000000000000000000000
χ1008-80-4-4-40044443−43222000-2-2-2000−2323−232300−6i6i-10003i3−3i310003i−3i3−30000000000000000000000000000000000000000000000000000000
χ1018-80-4-4-400444−4343222000-2-2-200023−2323−23006i−6i-10003i3−3i31000−3i3i−330000000000000000000000000000000000000000000000000000000
χ1028-80-4-4-400444−4343222000-2-2-200023−2323−2300−6i6i-1000−3i33i310003i−3i−330000000000000000000000000000000000000000000000000000000

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