Finite Group Databasebeta

← Group #11808182

Character table — Group #11808182

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252
size111111112222222244444444444444444412121212121212121111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212111111112222222244444444444444444412121212121212121111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212
order12222222366666664444441212121212121212121212124444444436666666366666661212121212121212121212121212121212121212121212121212366666663666666612121212121212121212121212121212121212121212121212122222222266666666444444121212121212121212121212444444446666666666666666121212121212121212121212121212121212121212121212121266666666666666661212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ13222-22-2-2-2222-2-2-22-22-2000022-2-20000000000000000222-22-2-2-2222-2-2-22-22-2000022-2-20000000000000000222-22-2-2-2222-2-2-22-22-2000022-2-20000000000000000222-22-2-2-2222-2-2-22-22-2000022-2-20000000000000000222-22-2-2-2222-2-2-22-22-2000022-2-20000000000000000222-22-2-2-2222-2-2-22-22-2000022-2-20000000000000000
χ14222-22-2-2-2222-2-2-22-2-220000-2-2220000000000000000222-22-2-2-2222-2-2-22-2-220000-2-2220000000000000000222-22-2-2-2222-2-2-22-2-220000-2-2220000000000000000222-22-2-2-2222-2-2-22-2-220000-2-2220000000000000000222-22-2-2-2222-2-2-22-2-220000-2-2220000000000000000222-22-2-2-2222-2-2-22-2-220000-2-2220000000000000000
χ15222-22-2-2-2-1-1-1111-112-20000-1-11133−3−333−3−300000000222-22-2-2-2-1-1-1111-112-20000-1-11133−3−333−3−300000000222-22-2-2-2-1-1-1111-112-20000-1-11133−3−333−3−300000000222-22-2-2-2-1-1-1111-112-20000-1-11133−3−333−3−300000000222-22-2-2-2-1-1-1111-112-20000-1-11133−3−333−3−300000000222-22-2-2-2-1-1-1111-112-20000-1-11133−3−333−3−300000000
χ16222-22-2-2-2-1-1-1111-112-20000-1-111−3−333−3−33300000000222-22-2-2-2-1-1-1111-112-20000-1-111−3−333−3−33300000000222-22-2-2-2-1-1-1111-112-20000-1-111−3−333−3−33300000000222-22-2-2-2-1-1-1111-112-20000-1-111−3−333−3−33300000000222-22-2-2-2-1-1-1111-112-20000-1-111−3−333−3−33300000000222-22-2-2-2-1-1-1111-112-20000-1-111−3−333−3−33300000000
χ17222-22-2-2-2-1-1-1111-11-22000011-1-133−3−3−3−33300000000222-22-2-2-2-1-1-1111-11-22000011-1-133−3−3−3−33300000000222-22-2-2-2-1-1-1111-11-22000011-1-133−3−3−3−33300000000222-22-2-2-2-1-1-1111-11-22000011-1-133−3−3−3−33300000000222-22-2-2-2-1-1-1111-11-22000011-1-133−3−3−3−33300000000222-22-2-2-2-1-1-1111-11-22000011-1-133−3−3−3−33300000000
χ18222-22-2-2-2-1-1-1111-11-22000011-1-1−3−33333−3−300000000222-22-2-2-2-1-1-1111-11-22000011-1-1−3−33333−3−300000000222-22-2-2-2-1-1-1111-11-22000011-1-1−3−33333−3−300000000222-22-2-2-2-1-1-1111-11-22000011-1-1−3−33333−3−300000000222-22-2-2-2-1-1-1111-11-22000011-1-1−3−33333−3−300000000222-22-2-2-2-1-1-1111-11-22000011-1-1−3−33333−3−300000000
χ1922-22-22-2-222-222-2-2-2000000000000000000002-2000022-22-22-2-222-222-2-2-2000000000000000000002-2000022-22-22-2-222-222-2-2-2000000000000000000002-2000022-22-22-2-222-222-2-2-2000000000000000000002-2000022-22-22-2-222-222-2-2-2000000000000000000002-2000022-22-22-2-222-222-2-2-2000000000000000000002-20000
χ2022-22-22-2-222-222-2-2-200000000000000000000-22000022-22-22-2-222-222-2-2-200000000000000000000-22000022-22-22-2-222-222-2-2-200000000000000000000-22000022-22-22-2-222-222-2-2-200000000000000000000-22000022-22-22-2-222-222-2-2-200000000000000000000-22000022-22-22-2-222-222-2-2-200000000000000000000-220000
χ2122-2-2-2-22222-2-2-22-220000000000000000000000002-222-2-2-2-22222-2-2-22-220000000000000000000000002-222-2-2-2-22222-2-2-22-220000000000000000000000002-222-2-2-2-22222-2-2-22-220000000000000000000000002-222-2-2-2-22222-2-2-22-220000000000000000000000002-222-2-2-2-22222-2-2-22-220000000000000000000000002-2
χ2222-2-2-2-22222-2-2-22-22000000000000000000000000-2222-2-2-2-22222-2-2-22-22000000000000000000000000-2222-2-2-2-22222-2-2-22-22000000000000000000000000-2222-2-2-2-22222-2-2-22-22000000000000000000000000-2222-2-2-2-22222-2-2-22-22000000000000000000000000-2222-2-2-2-22222-2-2-22-22000000000000000000000000-22
χ232-222-2-22-22-222-22-2-20000000000000000002-20000002-222-2-22-22-222-22-2-20000000000000000002-20000002-222-2-22-22-222-22-2-20000000000000000002-20000002-222-2-22-22-222-22-2-20000000000000000002-20000002-222-2-22-22-222-22-2-20000000000000000002-20000002-222-2-22-22-222-22-2-20000000000000000002-2000000
χ242-222-2-22-22-222-22-2-2000000000000000000-220000002-222-2-22-22-222-22-2-2000000000000000000-220000002-222-2-22-22-222-22-2-2000000000000000000-220000002-222-2-22-22-222-22-2-2000000000000000000-220000002-222-2-22-22-222-22-2-2000000000000000000-220000002-222-2-22-22-222-22-2-2000000000000000000-22000000
χ252-22-2-22-222-22-22-2-2200000000000000000000002-2002-22-2-22-222-22-22-2-2200000000000000000000002-2002-22-2-22-222-22-22-2-2200000000000000000000002-2002-22-2-22-222-22-22-2-2200000000000000000000002-2002-22-2-22-222-22-22-2-2200000000000000000000002-2002-22-2-22-222-22-22-2-2200000000000000000000002-200
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χ272-2-222-2-222-2-22-2-222002-20000002-22-20000000000002-2-222-2-222-2-22-2-222002-20000002-22-20000000000002-2-222-2-222-2-22-2-222002-20000002-22-20000000000002-2-222-2-222-2-22-2-222002-20000002-22-20000000000002-2-222-2-222-2-22-2-222002-20000002-22-20000000000002-2-222-2-222-2-22-2-222002-20000002-22-2000000000000
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χ5222222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
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χ2472-2-2-2222-2-1111-1-1-110000−2i2i−i3i3i3−i3−333−3i−i−ii00000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i320000−2ζ112ζ11−3+i323−i323−i32−3+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ11−ζ11−ζ11ζ1100000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i320000−2ζ72ζ73+i32−3−i32−3−i323+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7−ζ7−ζ7ζ700000000-2222-2-2-221-1-1-1111-100002i−2ii3−i3−i3i33−3−33−iii−i000000001+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i3200002ζ11−2ζ113−i32−3+i32−3+i323−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ11ζ11ζ11−ζ11000000001−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i3200002ζ7−2ζ7−3−i323+i323+i32−3−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7ζ7ζ7−ζ700000000
χ2482-2-2-2222-2-1111-1-1-110000−2i2ii3−i3−i3i33−3−33i−i−ii00000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i320000−2ζ112ζ113−i32−3+i32−3+i323−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11ζ11−ζ11−ζ11ζ1100000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i320000−2ζ72ζ7−3−i323+i323+i32−3−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7−ζ7−ζ7ζ700000000-2222-2-2-221-1-1-1111-100002i−2i−i3i3i3−i3−333−3−iii−i000000001+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i3200002ζ11−2ζ11−3+i323−i323−i32−3+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−ζ11ζ11ζ11−ζ11000000001−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i3200002ζ7−2ζ73+i32−3−i32−3−i323+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7ζ7ζ7−ζ700000000
χ24944-44-44-4-4-2-22-2-222200000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i32+2i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i300000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i32−2i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i300000000000000000000000000-4-44-44-44422-222-2-2-2000000000000000000000000002+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3000000000000000000000000002−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i300000000000000000000000000
χ25044-4-4-4-444-2-2222-22-200000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i32+2i3−2−2i3−2−2i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i300000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i32−2i3−2+2i3−2+2i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i300000000000000000000000000-4-44444-4-422-2-2-22-22000000000000000000000000002+2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000000000000000000000002−2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i300000000000000000000000000
χ2514-444-4-44-4-22-2-22-22200000000000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i300000000000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i300000000000000000000000000-44-4-444-442-222-22-2-2000000000000000000000000002+2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3000000000000000000000000002−2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i300000000000000000000000000
χ2524-44-4-44-44-22-22-222-200000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i300000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i300000000000000000000000000-44-444-44-42-22-22-2-22000000000000000000000000002+2i3−2−2i32+2i3−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3000000000000000000000000002−2i3−2+2i32−2i3−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i300000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.