Finite Group Databasebeta

← Group #13156260

Character table — Group #13156260

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
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order1223334466666121233366666666612121212121212121212128836666121212121212128242424242424242424242424242424244812121212121212122424242424242424884812122424242424
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χ3111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111
χ711111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11-111-1-1-1-111
χ811111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
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χ948-80-48-400−4i34i3-84400-42-400−4i34i32i3−2i344-20000000000000202i3−2i3-2000000000000000000000000000000000000000000000000000000
χ958-80-48-4004i3−4i3-84400-42-4004i3−4i3−2i32i344-2000000000000020−2i32i3-2000000000000000000000000000000000000000000000000000000
χ968-80-4-4-400−4i34i344443−43222002i3−2i32i3−2i3-2-2-20−23230006i−6i−2323000-10−i3i310003−3−3i3i00000000000000000000000000000000000000000000000
χ978-80-4-4-400−4i34i3444−4343222002i3−2i32i3−2i3-2-2-2023−23000−6i6i23−23000-10−i3i31000−333i−3i00000000000000000000000000000000000000000000000
χ988-80-4-4-4004i3−4i344443−4322200−2i32i3−2i32i3-2-2-20−2323000−6i6i−2323000-10i3−i310003−33i−3i00000000000000000000000000000000000000000000000
χ998-80-4-4-4004i3−4i3444−434322200−2i32i3−2i32i3-2-2-2023−230006i−6i23−23000-10i3−i31000−33−3i3i00000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.