Finite Group Databasebeta

← Group #13161824

Character table — Group #13161824

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12224444223334466666666666661212121212121212121212121212121233333666666666666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212128888888824242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ17222222222222-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ18222222222222-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ1922222222222-122222-1-122222-1222222222222222-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ2022222222222-122222-1-122222-1222222222222222-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ212222222222-12222-1-1222222-1222222222222-1-1-1-12222-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ222222222222-12222-1-1222222-1222222222222-1-1-1-12222-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-200001111111100000000
χ2322222222-2-222-1-2-22222111122-1-1-1-1-1-1-11111222222222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2422222222-2-222-1-2-22222111122-1-1-1-1-1-1-11111222222222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ2522222222-2-22-12-2-222-1-1-2-2-2-22-12222222-2-2-2-22222-1-1-1-1-12-1-1-1-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000000000000000000000000000022-2-200000000-1-1-1-11111
χ2622222222-2-22-12-2-222-1-1-2-2-2-22-12222222-2-2-2-22222-1-1-1-1-12-1-1-1-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ2722222222-2-2-122-2-2-1-122-2-2-2-2-122222222-2-2-2-2-1-1-1-12222-1-12-1-111-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-111-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111100000000000000000000000022-2-20000-1-1-1-1111100000000
χ2822222222-2-2-122-2-2-1-122-2-2-2-2-122222222-2-2-2-2-1-1-1-12222-1-12-1-111-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-111-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000000000000000000000-2-22200001111-1-1-1-100000000
χ292222-2-2-2-22222-1-2-22222-1-1-1-122-1-1-111111111-2-2-2-2-2-2-2-22-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-2111111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ302222-2-2-2-22222-1-2-22222-1-1-1-122-1-1-111111111-2-2-2-2-2-2-2-22-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-21111111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ312222-2-2-2-2222-12-2-222-1-122222-1222-2-2-2-2-2-2-2-2-2-2-2-21111-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-21111111111111111-2-2-2-211111111111100000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ322222-2-2-2-2222-12-2-222-1-122222-1222-2-2-2-2-2-2-2-2-2-2-2-21111-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2-21111111111111111-2-2-2-21111111111110000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ332222-2-2-2-222-122-2-2-1-1222222-12222-2-2-2-2-2-2-2-21111-2-2-2-2-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-111-2-211111111-2-2-2-21111111111111111-2-2-2-2111111110000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ342222-2-2-2-222-122-2-2-1-1222222-12222-2-2-2-2-2-2-2-21111-2-2-2-2-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-111-2-211111111-2-2-2-21111111111111111-2-2-2-211111111000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ352222-2-2-2-2-2-222-1222222111122-1-1-11111-1-1-1-1-2-2-2-2-2-2-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-12222-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ362222-2-2-2-2-2-222-1222222111122-1-1-11111-1-1-1-1-2-2-2-2-2-2-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-12222-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ372222-2-2-2-2-2-22-122222-1-1-2-2-2-22-1222-2-2-2-22222-2-2-2-21111-12-1-1-1-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ382222-2-2-2-2-2-22-122222-1-1-2-2-2-22-1222-2-2-2-22222-2-2-2-21111-12-1-1-1-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ392222-2-2-2-2-2-2-12222-1-122-2-2-2-2-12222-2-2-2-222221111-2-2-2-2-1-12-1-111-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-1-12211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ402222-2-2-2-2-2-2-12222-1-122-2-2-2-2-12222-2-2-2-222221111-2-2-2-2-1-12-1-111-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-1-12211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ4122-2-222-2-20022200-2-2-2-20000222-2-222-2-2000022-2-222-2-2222220000-2-2-2-2-2-2-2-2-2-20000000000000000000022222000022-2-222-2-222-2-22222-2-2-2-20000000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4222-2-222-2-20022200-2-2-2-20000222-2-222-2-2000022-2-222-2-2222220000-2-2-2-2-2-2-2-2-2-20000000000000000000022222000022-2-222-2-222-2-22222-2-2-2-2000000000000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.