Finite Group Databasebeta

← Group #11773363

Character table — Group #11773363

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111111111112222222222222222222222222222222244444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212123636363636363636
order1222222222222222336666666666666666666666666666663444466666666666666612121212121212121212121212121212121212121212121212121212121212124444444444444444121212121212121212121212121212121212121212121212121212121212121244444444
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
χ51111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111-1-1-1-1-11-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i
χ10111111-1-1-1-1-11-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii
χ11111111-1-1-1-1-11-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii
χ12111111-1-1-1-1-11-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i
χ13111111-1-1-1-1-11-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ14111111-1-1-1-1-11-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iiiii−i−i
χ15111111-1-1-1-1-11-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ16111111-1-1-1-1-11-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iii
χ1722222222222222222-1222222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1822222222222222222-1222222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-20000000000000000111111111111111100000000
χ1922222222222222222-1222222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-11111111100000000
χ2022222222222222222-1222222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-100000000
χ212222222222222222-12-1-1-1-1-1-122222-1-1-1-1-1-122222222-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ222222222222222222-12-1-1-1-1-1-122222-1-1-1-1-1-122222222-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000001111111111111111000000000000000000000000
χ232222222222222222-12-1-1-1-1-1-122222-1-1-1-1-1-122222222-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111112222-2-2-2-200000000-1-1-1-1-1-1-1-111111111000000000000000000000000
χ242222222222222222-12-1-1-1-1-1-122222-1-1-1-1-1-122222222-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-222220000000011111111-1-1-1-1-1-1-1-1000000000000000000000000
χ25222222-2-2-2-2-22-2-22-22-1222222-1-1-1-1-1-2-2-2-2-2-2111111112-1-2-2-1-122-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000022-2-222-2-20000000000000000-1-1-1-11111-1-1-1-1111100000000
χ26222222-2-2-2-2-22-2-22-22-1222222-1-1-1-1-1-2-2-2-2-2-2111111112-1-2-2-1-122-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000-2-222-2-22200000000000000001111-1-1-1-11111-1-1-1-100000000
χ27222222-2-2-2-2-22-2-22-22-1222222-1-1-1-1-1-2-2-2-2-2-2111111112-1-2-2-1-1-2-222-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-10000000022-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-100000000
χ28222222-2-2-2-2-22-2-22-22-1222222-1-1-1-1-1-2-2-2-2-2-2111111112-1-2-2-1-1-2-222-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-100000000-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-1111100000000
χ29222222-2-2-2-2-22-2-22-2-12-1-1-1-1-1-122222111111-2-2-2-2-2-2-2-2-12112-122-2-2-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ30222222-2-2-2-2-22-2-22-2-12-1-1-1-1-1-122222111111-2-2-2-2-2-2-2-2-12112-122-2-2-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ31222222-2-2-2-2-22-2-22-2-12-1-1-1-1-1-122222111111-2-2-2-2-2-2-2-2-12112-1-2-222-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ32222222-2-2-2-2-22-2-22-2-12-1-1-1-1-1-122222111111-2-2-2-2-2-2-2-2-12112-1-2-222-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ332222-2-2222-2-2-22-2-2-222222-2-2-2222-2-2222-2-2-22222-2-2-2-2-2-22-2-220000222-2-2-22222-2-2-2-2-20000000000000000000000000000000000002-22-2000000000000000022-2-222-2-2000000000000000000000000
χ342222-2-2222-2-2-22-2-2-222222-2-2-2222-2-2222-2-2-22222-2-2-2-2-2-22-2-220000222-2-2-22222-2-2-2-2-2000000000000000000000000000000000000-22-220000000000000000-2-222-2-222000000000000000000000000
χ352222-2-2222-2-2-22-2-2-2-12-1-1-1111222-2-2-1-1-11112222-2-2-2-21-2-11-2-10000-1-1-1111-1-1-1-11111133−3−333−3−3000000003333−3−3−3−33333−3−3−3−300002-22-20000000033−3−333−3−3-1-111-1-111000000000000000000000000
χ362222-2-2222-2-2-22-2-2-2-12-1-1-1111222-2-2-1-1-11112222-2-2-2-21-2-11-2-10000-1-1-1111-1-1-1-11111133−3−333−3−3000000003333−3−3−3−33333−3−3−3−30000-22-2200000000−3−333−3−33311-1-111-1-1000000000000000000000000
χ372222-2-2222-2-2-22-2-2-2-12-1-1-1111222-2-2-1-1-11112222-2-2-2-21-2-11-2-10000-1-1-1111-1-1-1-111111−3−333−3−33300000000−3−3−3−33333−3−3−3−3333300002-22-200000000−3−333−3−333-1-111-1-111000000000000000000000000
χ382222-2-2222-2-2-22-2-2-2-12-1-1-1111222-2-2-1-1-11112222-2-2-2-21-2-11-2-10000-1-1-1111-1-1-1-111111−3−333−3−33300000000−3−3−3−33333−3−3−3−333330000-22-220000000033−3−333−3−311-1-111-1-1000000000000000000000000
χ392222-2-2-2-2-222-2-22-2222222-2-2-2222-2-2-2-2-2222-2-2-2-22222-2-2-22-220000222-2-2-2-2-2-2-22222-20000000000000000000000000000000000002i−2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ402222-2-2-2-2-222-2-22-2222222-2-2-2222-2-2-2-2-2222-2-2-2-22222-2-2-22-220000222-2-2-2-2-2-2-22222-2000000000000000000000000000000000000−2i2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ412222-2-2-2-2-222-2-22-22-12-1-1-1111222-2-2111-1-1-1-2-2-2-222221-21-1-2-10000-1-1-11111111-1-1-1-1133−3−3−3−333000000003333−3−3−3−3−3−3−3−3333300002i−2i−2i2i00000000i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i000000000000000000000000
χ422222-2-2-2-2-222-2-22-22-12-1-1-1111222-2-2111-1-1-1-2-2-2-222221-21-1-2-10000-1-1-11111111-1-1-1-1133−3−3−3−333000000003333−3−3−3−3−3−3−3−333330000−2i2i2i−2i00000000−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii000000000000000000000000
χ432222-2-2-2-2-222-2-22-22-12-1-1-1111222-2-2111-1-1-1-2-2-2-222221-21-1-2-10000-1-1-11111111-1-1-1-11−3−33333−3−300000000−3−3−3−333333333−3−3−3−300002i−2i−2i2i00000000−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i000000000000000000000000
χ442222-2-2-2-2-222-2-22-22-12-1-1-1111222-2-2111-1-1-1-2-2-2-222221-21-1-2-10000-1-1-11111111-1-1-1-11−3−33333−3−300000000−3−3−3−333333333−3−3−3−30000−2i2i2i−2i00000000i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii000000000000000000000000
χ4522-2-22222-22-2-2-22-2-2222-2-222-22-2-22222-22-2-222-2-222-2-2-2-2-22-2200002-2-222-222-2-222-2-2-2000000000000000000000000000000002-22-20000000000002-22-22-22-200000000000000000000000000000000
χ4622-2-22222-22-2-2-22-2-2222-2-222-22-2-22222-22-2-222-2-222-2-2-2-2-22-2200002-2-222-222-2-222-2-2-200000000000000000000000000000000-22-22000000000000-22-22-22-2200000000000000000000000000000000
χ4722-2-22222-22-2-2-22-2-2-12-111-1-112-2-222-1-11-11122-2-222-2-21-21-1-2-10000-111-1-11-1-111-1-11113−33−33−33−30000000033−3−333−3−333−3−333−3−32-22-2000000000000-11-11-11-113−33−33−33−3000000000000000000000000
χ4822-2-22222-22-2-2-22-2-2-12-111-1-112-2-222-1-11-11122-2-222-2-21-21-1-2-10000-111-1-11-1-111-1-11113−33−33−33−30000000033−3−333−3−333−3−333−3−3-22-220000000000001-11-11-11-1−33−33−33−33000000000000000000000000
χ4922-2-22222-22-2-2-22-2-2-12-111-1-112-2-222-1-11-11122-2-222-2-21-21-1-2-10000-111-1-11-1-111-1-1111−33−33−33−3300000000−3−333−3−333−3−333−3−3332-22-2000000000000-11-11-11-11−33−33−33−33000000000000000000000000
χ5022-2-22222-22-2-2-22-2-2-12-111-1-112-2-222-1-11-11122-2-222-2-21-21-1-2-10000-111-1-11-1-111-1-1111−33−33−33−3300000000−3−333−3−333−3−333−3−333-22-220000000000001-11-11-11-13−33−33−33−3000000000000000000000000
χ5122-2-222-2-22-22-22-2-22222-2-222-22-2-222-2-22-222-2-222-2-222-2-22-2-2200002-2-222-2-2-222-2-222-2000000000000000000000000000000002i−2i−2i2i0000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ5222-2-222-2-22-22-22-2-22222-2-222-22-2-222-2-22-222-2-222-2-222-2-22-2-2200002-2-222-2-2-222-2-222-200000000000000000000000000000000−2i2i2i−2i000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ5322-2-222-2-22-22-22-2-22-12-111-1-112-2-22211-11-1-1-2-222-2-2221-2-11-2-10000-111-1-1111-1-111-1-113−33−3−33−330000000033−3−333−3−3−3−333−3−3332i−2i−2i2i000000000000−ii−iii−ii−ii3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ5422-2-222-2-22-22-22-2-22-12-111-1-112-2-22211-11-1-1-2-222-2-2221-2-11-2-10000-111-1-1111-1-111-1-113−33−3−33−330000000033−3−333−3−3−3−333−3−333−2i2i2i−2i000000000000i−ii−i−ii−ii−i3i3−i3i3i3−i3i3−i3000000000000000000000000
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χ1354-44-4-444-44-4-4-4-44444-2-44-4-44-42-222-24-44-4-44-22-222-22-242-44-2-200002-222-22-22-222-22-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1404-44-4-44-44-444-44-44-4-242-222-22-44-4-442-22-2-22-44-444-44-4-2-4-224-200002-222-222-22-2-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1504-4-444-4-444-44-4-444-4-2-222-2-22222-2-222-2-22-222-2-222-2-22-222-2-210000-1-111-1-1-111-1-111-110000000000000000-333-3-333-33-3-333-3-3300000000000000000000000000000000000000000000000000000000
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χ1554-4-44-44-4444-44-4-4-44-2-222-22-2-222-22-22-2-2-22-22-2-22-222-22-222210000-1-11-111-111-11-1-11-10000000023−23−2323−232323−23−333−33−3−333−3−33−333−300000000000000000000000000000000000000000000000000000000
χ1564-4-44-44-4444-44-4-4-44-2-222-22-2-222-22-22-2-2-22-22-2-22-222-22-222210000-1-11-111-111-11-1-11-100000000−232323−2323−23−23233−3−33−333−3−333−33−3−3300000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).