Finite Group Databasebeta

← Group #13170621

Character table — Group #13170621

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222222244444444444444444444888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order122333446666633366666666612121212121212123666612121212121212121224444466121212121212224488666121212121212121212121212121212121266888121224242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111111111-1-11111-1-111-1-1111111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111
χ511111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-11-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911-1111-11-1-1111111-1-1-1-1-1-1111-1-11-1-1-1111-1-1-11111-1-111-1-11-11-11-111-1-111-1-11-11-111111-11-11-11-1-1-111-1-111-1-11-11-1-11-111-1-11-11-1
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χ1111-1111-11-1-1111111-1-1-1-1-1-1111-1-11-1-1-1111-1-1-11111-1-111-1-11-1-111-111-1-1-1-111-11-11-1-1111-11-1-111-1-1-1-1-11111-1-1-111-11-11-1-1111-1-11
χ1211-1111-11-1-1111111-1-1-1-1-1-1111-1-11-1-1-1111-1-1-11111-1-111-1-11-1-11-1111-1-1-1-111-11-1111111-1-11-11-11-1-1-1-111-1-111-11-11-1-1111-1-1-111-1
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χ998-80-4-4-400−4i34i3444222002i3−2i32i3−2i3-2-2-200006i−6i00-10−i3i310000033−33−3i3i0000000000000000000000000000000000000000000000000000000
χ1008-80-4-4-400−4i34i3444222002i3−2i32i3−2i3-2-2-20000−6i6i00-10−i3i3100000−33333i−3i0000000000000000000000000000000000000000000000000000000
χ1018-80-4-4-4004i3−4i344422200−2i32i3−2i32i3-2-2-200006i−6i00-10i3−i3100000−3333−3i3i0000000000000000000000000000000000000000000000000000000
χ1028-80-4-4-4004i3−4i344422200−2i32i3−2i32i3-2-2-20000−6i6i00-10i3−i310000033−333i−3i0000000000000000000000000000000000000000000000000000000

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