Finite Group Databasebeta

← Group #13170620

Character table — Group #13170620

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222222244444444444444444444888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order1223334466612123336666666612121212121212121236666612121212121212122244446612121212121222448866666661212121212121212121212121266888121224242424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-11-111111111111111-1-1-11-111-1-11-1-11111-1-1111111-1-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111-11-1111-1-1-1-11111-1-1-1-1-1-11-11-1-111-11111-1-1111111-1-1-111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-111-111-1-1-1-111-1-1-1-111-1-1-111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-1-11111-1-111
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
χ911-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-11111-111-1-111-1-11-111-1-111-1-11-11-1-1-11111111-1-1-11-1-1-1-1-111-1-11-111-11-111-1-11-11-1
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χ1111-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-11111-111-1-11-1-111-111-1-111-1-11-11-111-11-111-1-1-1111-1-1-11111-1-11-1-1-111-1-1-111-11-11
χ1211-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-11111-111-1-11-1-11-1111-1-1-1-111-11-1111-11-111-1-1-111-11-1-111-1-111-11-11-1-11-1-1111-11-1
χ1311-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-11111-111-1-1-111-11-1-1-11111-1-1-11-11111-11-1-1111-1-11-111-1-111-1-1-11-11-1-11-1-1111-1-11
χ1411-1111-11111-1-1111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-1-11111-111-1-1-111-1-11-1-111-1-1111-11-1111-11-1-1111-1-1-1111-1-1-1-1111-1-1-111-1-1-111-111-1
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χ4122-222-1-2222-1-2-2-12-1-2-21112-1-1-2-11-2-21122-1-2111-12-1-11-1-11120-202-2-1-111-1-1112-22-200020-1-100-2002-21100-1-111-11000-1100000000
χ4222-222-1-2222-1-2-2-12-1-2-21112-1-1-2-11-2-21122-1-2111-12-1-11-1-11120-20-22-1-11111-1-1-22-2200020-1-100-200-22110011-1-11-10001-100000000
χ4322-222-1-2222-1-2-2-12-1-2-21112-1-1-2-11-2-21122-1-2111-12-1-11-1-111-20202-211-1-1-1-111-22-22000-2011002002-2-1-100-1-1111-10001-100000000
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χ1008-80-4-4-40044443−43222000-66-2-2-2000−2323−232300-1003-310000−33333−30000000000000000000000000000000000000000000000000000000
χ1018-80-4-4-400444−43432220006-6-2-2-200023−2323−2300-100-3310000−3333−330000000000000000000000000000000000000000000000000000000
χ1028-80-4-4-400444−4343222000-66-2-2-200023−2323−2300-1003-31000033−33−330000000000000000000000000000000000000000000000000000000

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