Finite Group Databasebeta

← Group #72316989

Character table — Group #72316989

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208
size1111111122222222222244444444888888888888888888888888111111112222222222224444444488888888888888888888888811111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order1222444422222244444422224444444444444444444488888888222244442222224444442222444444444444444444448888888822224444222222444444222244444444444444444444888888882222444422222244444422224444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
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χ1011-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-1-11111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-1-11111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-1-11111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-1-111
χ1111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-1-11111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-1-11111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-1-11111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111
χ1211-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1-1-111111-1-1-111-1-1-1111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ1311-1-1-1-111111-1-1-111-1-1-11-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-11111-1-111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-11111-1-111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-11111-1-111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-11111-1-1
χ1411-1-1-1-111111-1-1-111-1-1-11-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111
χ1511-1-1-1-111111-1-1-111-1-1-11-1-111-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111
χ1611-1-1-1-111111-1-1-111-1-1-11-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-11111-1-111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-11111-1-111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-11111-1-111-1-1-1-111111-1-1-111-1-1-11-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1
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χ19522-2-2-2-2222-2-2-222-2-2-222200000000000000000000000000002-2-22-2-22222-2-2-2222-2-2222-2-2-20000000000000000000000000000-222-2-2-22222-2-2-2222-2-2222-2-2-20000000000000000000000000000-222-222-2-2-2-2222-2-2-222-2-2-222200000000000000000000000000002-2-22
χ19622-2-2-2-2222-2-2-222-2-2-22220000000000000000000000000000-222-2-2-22222-2-2-2222-2-2222-2-2-200000000000000000000000000002-2-22-2-22222-2-2-2222-2-2222-2-2-200000000000000000000000000002-2-2222-2-2-2-2222-2-2-222-2-2-22220000000000000000000000000000-222-2
χ19722-2-2-2-222-22-22-222-22-22-2000000000000000000002i−2i−2i2i00000000-2-22222-2-22-22-22-2-22-22-2200000000000000000000−2i2i2i−2i00000000-2-22222-2-22-22-22-2-22-22-2200000000000000000000−2i2i2i−2i0000000022-2-2-2-222-22-22-222-22-22-2000000000000000000002i−2i−2i2i00000000
χ19822-2-2-2-222-22-22-222-22-22-200000000000000000000−2i2i2i−2i00000000-2-22222-2-22-22-22-2-22-22-22000000000000000000002i−2i−2i2i00000000-2-22222-2-22-22-22-2-22-22-22000000000000000000002i−2i−2i2i0000000022-2-2-2-222-22-22-222-22-22-200000000000000000000−2i2i2i−2i00000000
χ19922-2-2-2-222-2-2222-2-2222-2-200000000000000002i−2i−2i2i000000000000-2-22222-2-222-2-2-222-2-2-2220000000000000000−2i2i2i−2i000000000000-2-22222-2-222-2-2-222-2-2-2220000000000000000−2i2i2i−2i00000000000022-2-2-2-222-2-2222-2-2222-2-200000000000000002i−2i−2i2i000000000000
χ20022-2-2-2-222-2-2222-2-2222-2-20000000000000000−2i2i2i−2i000000000000-2-22222-2-222-2-2-222-2-2-22200000000000000002i−2i−2i2i000000000000-2-22222-2-222-2-2-222-2-2-22200000000000000002i−2i−2i2i00000000000022-2-2-2-222-2-2222-2-2222-2-20000000000000000−2i2i2i−2i000000000000
χ2014-44-44i−4i4i−4i0000000000002-22-22i−2i2i−2i000000000000000000000000-44-44−4i4i−4i4i000000000000-22-22−2i2i−2i2i000000000000000000000000-44-44−4i4i−4i4i000000000000-22-22−2i2i−2i2i0000000000000000000000004-44-44i−4i4i−4i0000000000002-22-22i−2i2i−2i000000000000000000000000
χ2024-44-44i−4i4i−4i000000000000-22-22−2i2i−2i2i000000000000000000000000-44-44−4i4i−4i4i0000000000002-22-22i−2i2i−2i000000000000000000000000-44-44−4i4i−4i4i0000000000002-22-22i−2i2i−2i0000000000000000000000004-44-44i−4i4i−4i000000000000-22-22−2i2i−2i2i000000000000000000000000
χ2034-44-4−4i4i−4i4i0000000000002-22-2−2i2i−2i2i000000000000000000000000-44-444i−4i4i−4i000000000000-22-222i−2i2i−2i000000000000000000000000-44-444i−4i4i−4i000000000000-22-222i−2i2i−2i0000000000000000000000004-44-4−4i4i−4i4i0000000000002-22-2−2i2i−2i2i000000000000000000000000
χ2044-44-4−4i4i−4i4i000000000000-22-222i−2i2i−2i000000000000000000000000-44-444i−4i4i−4i0000000000002-22-2−2i2i−2i2i000000000000000000000000-44-444i−4i4i−4i0000000000002-22-2−2i2i−2i2i0000000000000000000000004-44-4−4i4i−4i4i000000000000-22-222i−2i2i−2i000000000000000000000000
χ2054-4-444i−4i−4i4i0000000000002-2-22−2i2i2i−2i000000000000000000000000-444-4−4i4i4i−4i000000000000-222-22i−2i−2i2i000000000000000000000000-444-4−4i4i4i−4i000000000000-222-22i−2i−2i2i0000000000000000000000004-4-444i−4i−4i4i0000000000002-2-22−2i2i2i−2i000000000000000000000000
χ2064-4-444i−4i−4i4i000000000000-222-22i−2i−2i2i000000000000000000000000-444-4−4i4i4i−4i0000000000002-2-22−2i2i2i−2i000000000000000000000000-444-4−4i4i4i−4i0000000000002-2-22−2i2i2i−2i0000000000000000000000004-4-444i−4i−4i4i000000000000-222-22i−2i−2i2i000000000000000000000000
χ2074-4-44−4i4i4i−4i0000000000002-2-222i−2i−2i2i000000000000000000000000-444-44i−4i−4i4i000000000000-222-2−2i2i2i−2i000000000000000000000000-444-44i−4i−4i4i000000000000-222-2−2i2i2i−2i0000000000000000000000004-4-44−4i4i4i−4i0000000000002-2-222i−2i−2i2i000000000000000000000000
χ2084-4-44−4i4i4i−4i000000000000-222-2−2i2i2i−2i000000000000000000000000-444-44i−4i−4i4i0000000000002-2-222i−2i−2i2i000000000000000000000000-444-44i−4i−4i4i0000000000002-2-222i−2i−2i2i0000000000000000000000004-4-44−4i4i4i−4i000000000000-222-2−2i2i2i−2i000000000000000000000000

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