Finite Group Databasebeta

← Group #72252279

Character table — Group #72252279

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121248484848484848484848484872727272144144
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1
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χ101111-1-1111111111111-1-1-1-111-11111-1-1-1-11-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-11
χ111111-1-1111111111111-1-1-1-111-11111-1-1-1-11-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-111-11
χ121111-1-1111111111111-1-1-1-111-11111-1-1-1-11-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-11-1
χ131111-1-1111111111111-1-1-1-111-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-11
χ141111-1-1111111111111-1-1-1-111-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1111-1
χ151111-1-1111111111111-1-1-1-111-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1
χ161111-1-1111111111111-1-1-1-111-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-111-1-1-11
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χ2822222222-122222-1-1222222-12222222222-122-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2-2-211111111000000
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χ3022222222-122222-1-1222222-122-2-2-2-2-2-2-2-2-122-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2221111-1-1-1-1000000
χ3122222222-12-2-2-2-2-1-1222222-12222-2-222-2-2-1-2-2-1-1-1-1-1-122222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-111-1-111-1-1-1-11111-1-1-1-11111111111111100000000000000000000000000000000000000000000000000003−33−33−33−3000000
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χ3322222222-12-2-2-2-2-1-1222222-122-2-222-2-222-1-2-2-1-1-1-1-1-12222-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111-1-111-1-11111-1-1-1-11111-1-1-1-1111111111100000000000000000000000000000000000000000000000000003−33−3−33−33000000
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χ17588-8-800008-40000-884-44i3−4i3−4i34i3-84000000000-400000000000000000000000000004-400004i3−4i3−4i34i3000040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17688-8-80000-4800004-4-8800004-8000000000-4000000−4i34i3000000000000000000004-400000000−4i34i3−4i34i340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17788-8-80000-4800004-4-8800004-8000000000-40000004i3−4i3000000000000000000004-4000000004i3−4i34i3−4i340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17888-8-80000-4-400004-44-4−4i34i34i3−4i3440000000002000000−4i34i300000000000000000000-226-66-62i3−2i3−2i32i32i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17988-8-80000-4-400004-44-4−4i34i34i3−4i34400000000020000004i3−4i300000000000000000000-22-66-662i3−2i3−2i32i3−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18088-8-80000-4-400004-44-44i3−4i3−4i34i3440000000002000000−4i34i300000000000000000000-22-66-66−2i32i32i3−2i32i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18188-8-80000-4-400004-44-44i3−4i3−4i34i34400000000020000004i3−4i300000000000000000000-226-66-6−2i32i32i3−2i3−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1828-8-888-8008-400008-8-44-44-44-84000000000-400008-80000000000000000000000-440000-44-44000040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1838-8-888-800-480000-448-88-88-84-8000000000-40000-440000000000000000000000-440000-44-44000040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1848-8-888-800-4-40000-44-44-44-444400000000020000-4400000000000000000000002-26-6-662-22-2-666-6-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1858-8-888-800-4-40000-44-44-44-444400000000020000-4400000000000000000000002-2-666-62-22-26-6-66-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1868-8-88-88008-400008-8-444-44-4-84000000000-40000-880000000000000000000000-4400004-44-4000040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1878-8-88-8800-480000-448-8-88-884-8000000000-400004-40000000000000000000000-4400004-44-4000040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1888-8-88-8800-4-40000-44-444-44-444000000000200004-400000000000000000000002-26-6-66-22-226-6-66-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1898-8-88-8800-4-40000-44-444-44-444000000000200004-400000000000000000000002-2-666-6-22-22-666-6-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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