Finite Group Databasebeta

← Group #13160572

Character table — Group #13160572

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212121212123636363636363636363636365454545454545454
order12222222333334444666666666666666666666666666666666663333666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444412121212121212121212121212121212121212121212121212121212121212124444121212121212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−iii−i−iii−i−i11-1-111-1-1
χ10111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii−i−iii−i−iii-1-111-1-111
χ11111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−iii−i−iii−i−i-1-111-1-111
χ12111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−i−iii−i−iii11-1-111-1-1
χ13111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−iiii−i−i−i−iii11-1-1-1-111
χ14111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i−i−iiiii−i−i-1-11111-1-1
χ15111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−iiii−i−i−i−iii-1-11111-1-1
χ16111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i−i−iiiii−i−i11-1-1-1-111
χ17222222222222-1222222222222-1-1222222222222-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ18222222222222-1222222222222-1-1222222222222-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000-2-2-2-21111111100000000
χ19222222222222-1-2-2-2-222222222-1-1222222222222-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-2111111111111111111111111111111111100000000000000000000000000000000000022-2-2-1-1-1-1111100000000
χ20222222222222-1-2-2-2-222222222-1-1222222222222-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-21111111111111111111111111111111111000000000000000000000000000000000000-2-2221111-1-1-1-100000000
χ21222222222-1-1-12222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ22222222222-1-1-12222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-211111100000000000000000000
χ23222222222-1-1-12-2-2-2-222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-2111111-2-2-2-2-2-2111111111111-2-2-2-211111111111122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000000000000000000
χ24222222222-1-1-12-2-2-2-222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-2111111-2-2-2-2-2-2111111111111-2-2-2-2111111111111-2-222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ2522222222-12-1-122222-1-122-1-1-1-122-1-1-1222-1-1-1-1-1-1222-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000000000000
χ2622222222-12-1-122222-1-122-1-1-1-122-1-1-1222-1-1-1-1-1-1222-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211-2-2111111-2-2111111-2-2111111-2-2111100000000000000000000
χ2722222222-12-1-12-2-2-2-2-1-122-1-1-1-122-1-1-1222-1-1-1-1-1-1222-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-111-2-21111-2-211-2-21111-2-21111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000000000000000
χ2822222222-12-1-12-2-2-2-2-1-122-1-1-1-122-1-1-1222-1-1-1-1-1-1222-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-111-2-21111-2-211-2-21111-2-21111-2-2-2-2111111111111-2-2-2-211111111-2-22211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000000000000000
χ2922222222-1-12-122222-1-1-1-122-1-122-1-1-1-1-1-1222-1-1-1222-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-100000000000000000000
χ3022222222-1-12-122222-1-1-1-122-1-122-1-1-1-1-1-1222-1-1-1222-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2111111-2-2111111-2-2111111-2-21100000000000000000000
χ3122222222-1-12-12-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1222-1-1-1222-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-11111-2-211-2-21111-2-211-2-211111111-2-2-2-2111111111111-2-2-2-2111122-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21100000000000000000000
χ3222222222-1-12-12-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1222-1-1-1222-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-11111-2-211-2-21111-2-211-2-211111111-2-2-2-2111111111111-2-2-2-21111-2-2221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-100000000000000000000
χ3322222222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200000000000000000000
χ3422222222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-200000000000000000000
χ3522222222-1-1-122-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12111111-2-2-2-2111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-200000000000000000000
χ3622222222-1-1-122-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12111111-2-2-2-2111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-12200000000000000000000
χ37222-2-2-2-222222-122-2-222222222-1-1-2-2-2-2-2-2-2-2-2-2-2-21112222-1-2-2-2-21-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-122222222-1-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000000000002i−2i2i−2i−i−iii−i−iii00000000
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χ1874-4-4-444-44-24-2-2-24-4-4422-4-42222222-22-44-42-222-222-2-2-24-2-2-2-24-2-221-211-1-122-1-1-1-1-111-12-2-22-111-1-111-11-211-224-4-22-22-222-2-442-22-22-211-1-1-2-22211-1-111-1-1-1-11122-2-2-1-111-1-11100000000000000000000000000000000000000000000000000000000
χ1884-4-4-444-44-24-2-2-2-444-422-4-42222222-22-44-42-222-222-2-2-24-2-2-2-24-2-221-211-1-122-1-1-1-1-111-12-2-22-111-1-111-11-2112-2-442-22-22-2-224-4-22-22-22-1-11122-2-2-1-111-1-11111-1-1-2-22211-1-111-1-100000000000000000000000000000000000000000000000000000000
χ1894-4-4-444-44-2-24-2-24-4-442222-4-422222-222-22-44-42-222-2-2-2-24-2-2-2-24-2211-21-1-1-1-122-1-1-111-1-111-12-2-22-111-111-21-22-224-4-22-222-22-2-442-22-211-1-111-1-1-2-22211-1-1-1-111-1-11122-2-2-1-11100000000000000000000000000000000000000000000000000000000
χ1904-4-4-444-44-2-24-2-2-444-42222-4-422222-222-22-44-42-222-2-2-2-24-2-2-2-24-2211-21-1-1-1-122-1-1-111-1-111-12-2-22-111-111-212-22-2-442-22-2-22-224-4-22-22-1-111-1-11122-2-2-1-11111-1-111-1-1-2-22211-1-100000000000000000000000000000000000000000000000000000000
χ1914-4-4-444-44-2-2-24-24-4-44222222-4-4222-222-222-22-44-42-2-2-2-2-24-2-2-2-242111-2-1-1-1-1-1-122-111-1-111-1-111-12-2-22111-2-22-22-224-4-222-22-22-2-442-211-1-111-1-111-1-1-2-222-1-111-1-111-1-11122-2-200000000000000000000000000000000000000000000000000000000
χ1924-4-4-444-44-2-2-24-2-444-4222222-4-4222-222-222-22-44-42-2-2-2-2-24-2-2-2-242111-2-1-1-1-1-1-122-111-1-111-1-111-12-2-22111-22-22-22-2-442-2-22-22-224-4-22-1-111-1-111-1-11122-2-211-1-111-1-111-1-1-2-22200000000000000000000000000000000000000000000000000000000

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