Finite Group Databasebeta

← Group #13158308

Character table — Group #13158308

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252
size111111112222222222222222222244444444444444444444444412121212121212121212121212121212121212121212121218181818181818181111111122222222222222222222444444444444444444444444121212121212121212121212121212121212121212121212181818181818181811111111222222222222222222224444444444444444444444441212121212121212121212121212121212121212121212121818181818181818
order1222222233444466666666666666366666661212121212121212121212121212121244444444121212121212121212121212121212124444444436666666331212121266666666666666366666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212123666666633121212126666666666666636666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-11111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-111111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1−iii−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1−iii−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1−iii−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ19222222222-1-2-2-2-222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-211-2-2111111111122-2-20000-1-1-1-111110000000000000000222222222-1-2-2-2-222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-211-2-2111111111122-2-20000-1-1-1-111110000000000000000222222222-1-2-2-2-222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-211-2-2111111111122-2-20000-1-1-1-111110000000000000000
χ20222222222-1-2-2-2-222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-211-2-21111111111-2-22200001111-1-1-1-10000000000000000222222222-1-2-2-2-222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-211-2-21111111111-2-22200001111-1-1-1-10000000000000000222222222-1-2-2-2-222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-211-2-21111111111-2-22200001111-1-1-1-10000000000000000
χ2122222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000000022222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000000022222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ2222222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000000022222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000000022222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ2322222222-12-2-2-2-2-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-111-2-211-2-211111111000022-2-200000000-1-1-1-111110000000022222222-12-2-2-2-2-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-111-2-211-2-211111111000022-2-200000000-1-1-1-111110000000022222222-12-2-2-2-2-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-111-2-211-2-211111111000022-2-200000000-1-1-1-1111100000000
χ2422222222-12-2-2-2-2-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-111-2-211-2-2111111110000-2-222000000001111-1-1-1-10000000022222222-12-2-2-2-2-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-111-2-211-2-2111111110000-2-222000000001111-1-1-1-10000000022222222-12-2-2-2-2-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-111-2-211-2-2111111110000-2-222000000001111-1-1-1-100000000
χ25222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000002-22-20000222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000002-22-20000222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000002-22-20000
χ26222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-20000000000000000000000000000000000000000-22-220000222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-20000000000000000000000000000000000000000-22-220000222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-20000000000000000000000000000000000000000-22-220000
χ2722-22-2-2-222200002-22-2-22-2-222-2-2-2222-2-2-222-200000000000000000000000000000000000000002i−2i−2i2i000022-22-2-2-222200002-22-2-22-2-222-2-2-2222-2-2-222-200000000000000000000000000000000000000002i−2i−2i2i000022-22-2-2-222200002-22-2-22-2-222-2-2-2222-2-2-222-200000000000000000000000000000000000000002i−2i−2i2i0000
χ2822-22-2-2-222200002-22-2-22-2-222-2-2-2222-2-2-222-20000000000000000000000000000000000000000−2i2i2i−2i000022-22-2-2-222200002-22-2-22-2-222-2-2-2222-2-2-222-20000000000000000000000000000000000000000−2i2i2i−2i000022-22-2-2-222200002-22-2-22-2-222-2-2-2222-2-2-222-20000000000000000000000000000000000000000−2i2i2i−2i0000
χ2922-2-222-2-22-122-2-222-1-2-2-211112-1-1-2-1-1-11111-122-1-1-2-211-1-1-1-111112-22-20000-1-111-1-111000000000000000022-2-222-2-22-122-2-222-1-2-2-211112-1-1-2-1-1-11111-122-1-1-2-211-1-1-1-111112-22-20000-1-111-1-111000000000000000022-2-222-2-22-122-2-222-1-2-2-211112-1-1-2-1-1-11111-122-1-1-2-211-1-1-1-111112-22-20000-1-111-1-1110000000000000000
χ3022-2-222-2-22-122-2-222-1-2-2-211112-1-1-2-1-1-11111-122-1-1-2-211-1-1-1-11111-22-22000011-1-111-1-1000000000000000022-2-222-2-22-122-2-222-1-2-2-211112-1-1-2-1-1-11111-122-1-1-2-211-1-1-1-11111-22-22000011-1-111-1-1000000000000000022-2-222-2-22-122-2-222-1-2-2-211112-1-1-2-1-1-11111-122-1-1-2-211-1-1-1-11111-22-22000011-1-111-1-10000000000000000
χ3122-2-222-2-22-1-2-22222-1-2-2-211112-1-1-2-1-1-11111-1-2-21122-1-11111-1-1-1-12-2-220000-1-11111-1-1000000000000000022-2-222-2-22-1-2-22222-1-2-2-211112-1-1-2-1-1-11111-1-2-21122-1-11111-1-1-1-12-2-220000-1-11111-1-1000000000000000022-2-222-2-22-1-2-22222-1-2-2-211112-1-1-2-1-1-11111-1-2-21122-1-11111-1-1-1-12-2-220000-1-11111-1-10000000000000000
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χ18411-1-111-1-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1−iii−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.