Finite Group Databasebeta

← Group #11773338

Character table — Group #11773338

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111111111112222222222222222222222222222222244444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212123636363636363636
order12222222222222223366666666666666666666666666666622223666666666666666666666666666666666666666666666664444444444444444121212121212121212121212121212121212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ10111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ11111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ12111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ13111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1ii−i−i−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1−i−iiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1722222222222222222-12222222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1822222222222222222-12222222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000001111111111111111000000000000000000000000
χ1922222222222222222-12222222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-200000000-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2022222222222222222-12222222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-222220000000011111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-12-1-1-1-1-1-1-122222-1-1-1-1-1-12222222222-1-12222-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ222222222222222222-12-1-1-1-1-1-1-122222-1-1-1-1-1-12222222222-1-12222-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-20000000000000000111111111111111100000000
χ232222222222222222-12-1-1-1-1-1-1-122222-1-1-1-1-1-12222222222-1-1-2-2-2-2-11111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-11111111100000000
χ242222222222222222-12-1-1-1-1-1-1-122222-1-1-1-1-1-12222222222-1-1-2-2-2-2-11111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-100000000
χ25222222-2-2-2-222-2-2-2-22-12222222-1-1-1-1-1-2-2-2-2-2-211111111-1-1-2-222-2-2-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-222-2-200000000-1-1-1-11111-1-1-1-11111000000000000000000000000
χ26222222-2-2-2-222-2-2-2-22-12222222-1-1-1-1-1-2-2-2-2-2-211111111-1-1-2-222-2-2-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-222-2-222000000001111-1-1-1-11111-1-1-1-1000000000000000000000000
χ27222222-2-2-2-222-2-2-2-22-12222222-1-1-1-1-1-2-2-2-2-2-211111111-1-1-2-2-2-222-1-2-2-2-211112222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-2-2-22200000000-1-1-1-111111111-1-1-1-1000000000000000000000000
χ28222222-2-2-2-222-2-2-2-22-12222222-1-1-1-1-1-2-2-2-2-2-211111111-1-1-2-2-2-222-1-2-2-2-211112222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-22222-2-2000000001111-1-1-1-1-1-1-1-11111000000000000000000000000
χ29222222-2-2-2-222-2-2-2-2-12-1-1-1-1-1-1-122222111111-2-2-2-2-2-2-2-2221122-2-2-1-1-1-1-122221111-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i2i2i−2i−2i0000000000000000−i−i−i−iiiii−i−i−i−iiiii00000000
χ30222222-2-2-2-222-2-2-2-2-12-1-1-1-1-1-1-122222111111-2-2-2-2-2-2-2-2221122-2-2-1-1-1-1-122221111-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2i−2i−2i2i2i0000000000000000iiii−i−i−i−iiiii−i−i−i−i00000000
χ31222222-2-2-2-222-2-2-2-2-12-1-1-1-1-1-1-122222111111-2-2-2-2-2-2-2-22211-2-222-11111-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000002i2i−2i−2i−2i−2i2i2i0000000000000000−i−i−i−iiiiiiiii−i−i−i−i00000000
χ32222222-2-2-2-222-2-2-2-2-12-1-1-1-1-1-1-122222111111-2-2-2-2-2-2-2-22211-2-222-11111-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000−2i−2i2i2i2i2i−2i−2i0000000000000000iiii−i−i−i−i−i−i−i−iiiii00000000
χ332222-2-222-2-2-2-22-22-222222-2-2-2-2222-2-2222-2-2-22222-2-2-2-2-2-22-2000020000000000000000222-2-2-2-22222-2-2-2-2000000000000000000002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ342222-2-222-2-2-2-22-22-222222-2-2-2-2222-2-2222-2-2-22222-2-2-2-2-2-22-2000020000000000000000222-2-2-2-22222-2-2-2-200000000000000000000−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ352222-2-222-2-2-2-22-22-22-1222-2-2-2-2-1-1-111222-2-2-2-1-1-1-11111112-20000-10000−i3−i3i3i30000−i3−i3i3i3-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300002i−2i2i−2i0000000033−3−333−3−3−i−iii−i−iii000000000000000000000000
χ362222-2-222-2-2-2-22-22-22-1222-2-2-2-2-1-1-111222-2-2-2-1-1-1-11111112-20000-10000−i3−i3i3i30000−i3−i3i3i3-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000−2i2i−2i2i00000000−3−333−3−333ii−i−iii−i−i000000000000000000000000
χ372222-2-222-2-2-2-22-22-22-1222-2-2-2-2-1-1-111222-2-2-2-1-1-1-11111112-20000-10000i3i3−i3−i30000i3i3−i3−i3-1-1-11111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300002i−2i2i−2i00000000−3−333−3−333−i−iii−i−iii000000000000000000000000
χ382222-2-222-2-2-2-22-22-22-1222-2-2-2-2-1-1-111222-2-2-2-1-1-1-11111112-20000-10000i3i3−i3−i30000i3i3−i3−i3-1-1-11111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−2i2i−2i2i0000000033−3−333−3−3ii−i−iii−i−i000000000000000000000000
χ392222-2-2-2-222-2-2-22-2222222-2-2-2-2222-2-2-2-2-2222-2-2-2-22222-2-2-22000020000000000000000222-2-2-2-2-2-2-2-22222000000000000000000002i−2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ402222-2-2-2-222-2-2-22-2222222-2-2-2-2222-2-2-2-2-2222-2-2-2-22222-2-2-22000020000000000000000222-2-2-2-2-2-2-2-2222200000000000000000000−2i2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ412222-2-2-2-222-2-2-22-222-1222-2-2-2-2-1-1-111-2-2-22221111-1-1-1-111-220000-10000−i3−i3i3i30000i3i3−i3−i3-1-1-111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i300002i−2i−2i2i0000000033−3−3−3−333−i−iiiii−i−i000000000000000000000000
χ422222-2-2-2-222-2-2-22-222-1222-2-2-2-2-1-1-111-2-2-22221111-1-1-1-111-220000-10000−i3−i3i3i30000i3i3−i3−i3-1-1-111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000−2i2i2i−2i00000000−3−33333−3−3ii−i−i−i−iii000000000000000000000000
χ432222-2-2-2-222-2-2-22-222-1222-2-2-2-2-1-1-111-2-2-22221111-1-1-1-111-220000-10000i3i3−i3−i30000−i3−i3i3i3-1-1-111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i300002i−2i−2i2i00000000−3−33333−3−3−i−iiiii−i−i000000000000000000000000
χ442222-2-2-2-222-2-2-22-222-1222-2-2-2-2-1-1-111-2-2-22221111-1-1-1-111-220000-10000i3i3−i3−i30000−i3−i3i3i3-1-1-111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000−2i2i2i−2i0000000033−3−3−3−333ii−i−i−i−iii000000000000000000000000
χ4522-2-2222-22-2-2-22-2-22222-2-222-2-22-2-2222-2-222-222-2-222-2-2-2-22-20000200000000000000002-2-222-2-222-2-222-2-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ4622-2-2222-22-2-2-22-2-22222-2-222-2-22-2-2222-2-222-222-2-222-2-2-2-22-20000200000000000000002-2-222-2-222-2-222-2-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ4722-2-2222-22-2-2-22-2-222-12-2-222-2-2-111-1-12-2-222-2-1-111-1-111112-20000-10000−i3i3−i3i30000−i3i3−i3i3-111-1-111-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i−2i2i−2i000000000000−ii−ii−ii−ii3−33−33−33−3000000000000000000000000
χ4822-2-2222-22-2-2-22-2-222-12-2-222-2-2-111-1-12-2-222-2-1-111-1-111112-20000-10000−i3i3−i3i30000−i3i3−i3i3-111-1-111-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i000000000000i−ii−ii−ii−i−33−33−33−33000000000000000000000000
χ4922-2-2222-22-2-2-22-2-222-12-2-222-2-2-111-1-12-2-222-2-1-111-1-111112-20000-10000i3−i3i3−i30000i3−i3i3−i3-111-1-111-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32i−2i2i−2i000000000000−ii−ii−ii−ii−33−33−33−33000000000000000000000000
χ5022-2-2222-22-2-2-22-2-222-12-2-222-2-2-111-1-12-2-222-2-1-111-1-111112-20000-10000i3−i3i3−i30000i3−i3i3−i3-111-1-111-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i000000000000i−ii−ii−ii−i3−33−33−33−3000000000000000000000000
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Here i is the imaginary unit (i² = −1).