Finite Group Databasebeta

← Group #13178795

Character table — Group #13178795

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181836363636363636363636363636363636363636363636363672727272
order1222222233366666666666666666233333666666666666666666666666666666666666666666666666666666666666666666666666666666666666666664444444424444444121212121212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-11-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-11-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1111111111-1-1-1-11111111-11111111-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-11111-1-1-1-1-111-1
χ6111111-1-1111111111-1-1-1-11111111-11111111-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-11-11-11111-1-1-1-1-1-1-1-111111-1-11
χ7111111-1-1111111111-1-1-1-11111111-11111111-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-1-1-111111111-1-1-1-11-1-11
χ8111111-1-1111111111-1-1-1-11111111-11111111-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1111-1-1-1-11111-1-1-1-11111-111-1
χ91111-1-11111111-1-1-1-111111111111-111111-1-111-1-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-11-1-1111-1-111-1-111-1-111-1-1-11-11
χ101111-1-11111111-1-1-1-111111111111-111111-1-111-1-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-111-1-111-1-1-1-111-1-1111-11-1
χ111111-1-11111111-1-1-1-111111111111-111111-1-111-1-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11-1-1-1-111-1-11111-1-111-1-11-11-1
χ121111-1-11111111-1-1-1-111111111111-111111-1-111-1-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-111-1-111-1-111-1-111-11-11
χ131111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1
χ141111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111
χ151111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-11-111-11-1-1-11111-1-111-1-1-1-111-1-111
χ161111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111-1-111-1-1
χ172222222222-12222222222-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000200220020000000000000000-1-1-1-1
χ182222222222-12222222222-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-200-2-200-200000000000000001111
χ19222222222-122-12222-1-1-1-122222-1-12-12-1-1-1-1-12222-1-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200220002000200-1-1-1-1-1-1-1-1000000000000
χ20222222222-122-12222-1-1-1-122222-1-12-12-1-1-1-1-12222-1-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2000-2000-20011111111000000000000
χ2122222222-122-12-1-1-1-12222222-1-1222-1-12-1-122-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200220020002000000000-1-1-1-1-1-1-1-10000
χ2222222222-122-12-1-1-1-12222222-1-1222-1-12-1-122-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-200-2000-2000000000111111110000
χ23222222-2-222-1222222-2-2-2-2-1-1-12222-22-1-1-1-122-2-2-2-2-2-2-1-11111222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111100000000200-2200-20000000000000000-111-1
χ24222222-2-222-1222222-2-2-2-2-1-1-12222-22-1-1-1-122-2-2-2-2-2-2-1-11111222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111100000000-2002-200200000000000000001-1-11
χ25222222-2-22-122-12222111122222-1-1-2-12-1-1-1-1-1-2-2-2-21122-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111220022000-2000-200-1-1-1-11111000000000000
χ26222222-2-22-122-12222111122222-1-1-2-12-1-1-1-1-1-2-2-2-21122-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-2-200-2-200020002001111-1-1-1-1000000000000
χ27222222-2-2-122-12-1-1-1-1-2-2-2-2222-1-122-2-1-12-1-1221111-2-222-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111002200-2-2002000-2000000000-1-1-1-111110000
χ28222222-2-2-122-12-1-1-1-1-2-2-2-2222-1-122-2-1-12-1-1221111-2-222-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-21111111100-2-2002200-200020000000001111-1-1-1-10000
χ292222-2-22222-122-2-2-2-22222-1-1-12222-22-1-1-1-1-2-222-2-2-2-211-1-111222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000000002002-200-20000000000000000-11-11
χ302222-2-22222-122-2-2-2-22222-1-1-12222-22-1-1-1-1-2-222-2-2-2-211-1-111222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100000000-200-2200200000000000000001-11-1
χ312222-2-2222-122-1-2-2-2-2-1-1-1-122222-1-1-2-12-1-1-11122-2-211-2-222-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111112200-2-20002000-200-1-111-1-111000000000000
χ322222-2-2222-122-1-2-2-2-2-1-1-1-122222-1-1-2-12-1-1-11122-2-211-2-222-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-20022000-200020011-1-111-1-1000000000000
χ332222-2-222-122-1211112222222-1-122-2-1-12-1-1-2-2-1-111-2-2-2-222-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110022002200-2000-2000000000-1-111-1-1110000
χ342222-2-222-122-1211112222222-1-122-2-1-12-1-1-2-2-1-111-2-2-2-222-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111100-2-200-2-2002000200000000011-1-111-1-10000
χ352222-2-2-2-222-122-2-2-2-2-2-2-2-2-1-1-1222222-1-1-1-1-2-2-2-222221111-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000200-2-20020000000000000000-1-111
χ362222-2-2-2-222-122-2-2-2-2-2-2-2-2-1-1-1222222-1-1-1-1-2-2-2-222221111-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2002200-2000000000000000011-1-1
χ372222-2-2-2-22-122-1-2-2-2-2111122222-1-12-12-1-1-111-2-222-1-1-2-2-2-222-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200-2-2000-2000200-1-11111-1-1000000000000
χ382222-2-2-2-22-122-1-2-2-2-2111122222-1-12-12-1-1-111-2-222-1-1-2-2-2-222-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200220002000-20011-1-1-1-111000000000000
χ392222-2-2-2-2-122-121111-2-2-2-2222-1-1222-1-12-1-1-2-211-1-122-2-2-2-222-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200-2-200-20002000000000-1-11111-1-10000
χ402222-2-2-2-2-122-121111-2-2-2-2222-1-1222-1-12-1-1-2-211-1-122-2-2-2-222-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-20022002000-200000000011-1-1-1-1110000
χ4122-2-2002-22222-2000022-2-22-2-2-2-22-2022222002-20000002-2002-2-22-2-22-2-222-2-2-2-20000000000000000000022-2-222-2-222-2-22222-2-2-2-200000000000000000000002i−2i002i−2i00000000000000002i−2i002i−2i000000
χ4222-2-2002-22222-2000022-2-22-2-2-2-22-2022222002-20000002-2002-2-22-2-22-2-222-2-2-2-20000000000000000000022-2-222-2-222-2-22222-2-2-2-20000000000000000000000−2i2i00−2i2i0000000000000000−2i2i00−2i2i000000
χ4322-2-2002-2-122-1-2−i3−i3i3i322-2-22-2-2112-20-1-12-1-100-11−i3i300002-200-111-1112-2-2-1-11111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3-1-111-1-11122-2-2-1-1-1-11111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3002i−2i002i−2i0000000000000000−ii3−3−ii3−30000
χ4422-2-2002-2-122-1-2−i3−i3i3i322-2-22-2-2112-20-1-12-1-100-11−i3i300002-200-111-1112-2-2-1-11111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3-1-111-1-11122-2-2-1-1-1-11111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300−2i2i00−2i2i0000000000000000i−i−33i−i−330000
χ4522-2-2002-2-122-1-2i3i3−i3−i322-2-22-2-2112-20-1-12-1-100-11i3−i300002-200-111-1112-2-2-1-11111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-1-111-1-11122-2-2-1-1-1-11111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3002i−2i002i−2i0000000000000000−ii−33−ii−330000
χ4622-2-2002-2-122-1-2i3i3−i3−i322-2-22-2-2112-20-1-12-1-100-11i3−i300002-200-111-1112-2-2-1-11111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-1-111-1-11122-2-2-1-1-1-11111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300−2i2i00−2i2i0000000000000000i−i3−3i−i3−30000
χ4722-2-200-222222-20000-2-2222-2-2-2-22-202222200-22000000-22002-2-22-2-22-2-222-2-2-2-200000000000000000000-2-222-2-222-2-222-2-2-2-2222200000000000000000000002i−2i00−2i2i00000000000000002i−2i00−2i2i000000
χ4822-2-200-222222-20000-2-2222-2-2-2-22-202222200-22000000-22002-2-22-2-22-2-222-2-2-2-200000000000000000000-2-222-2-222-2-222-2-2-2-222220000000000000000000000−2i2i002i−2i0000000000000000−2i2i002i−2i000000
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Here i is the imaginary unit (i² = −1).