Finite Group Databasebeta

← Group #11801374

Character table — Group #11801374

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222444444444444444444444444121212121212121212121212121212121212121212121212181818181818181811111111222222222222222222224444444444444444444444441212121212121212121212121212121212121212121212121818181818181818
order1222222233444466666666666666366666661212121212121212121212121212121244444444121212121212121212121212121212124444444422222222664444666666666666666666666612121212121212121212121212121212444444441212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ71111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ81111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911-11-11-1-11111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11-1i−i1-1i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-11-11-1-11111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11-1i−i1-1i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i
χ1011-11-11-1-11111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11-1−ii1-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-11-11-1-11111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11-1−ii1-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii
χ1111-11-11-1-11111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-1-11i−i-11i−i-1-111ii−i−iii−i−i-1-111−i−iii−i−iii11-11-11-1-11111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-1-11i−i-11i−i-1-111ii−i−iii−i−i-1-111−i−iii−i−iii
χ1211-11-11-1-11111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-1-11−ii-11−ii-1-111−i−iii−i−iii-1-111ii−i−iii−i−i11-11-11-1-11111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-1-11−ii-11−ii-1-111−i−iii−i−iii-1-111ii−i−iii−i−i
χ1311-11-11-1-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-111111-1i−i-11−ii11-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i11-11-11-1-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-111111-1i−i-11−ii11-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i
χ1411-11-11-1-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-111111-1−ii-11i−i11-1-1−i−iiiii−i−i-1-111ii−i−i−i−iii11-11-11-1-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-111111-1−ii-11i−i11-1-1−i−iiiii−i−i-1-111ii−i−i−i−iii
χ1511-11-11-1-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-11111-11i−i1-1−ii-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii11-11-11-1-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-11111-11i−i1-1−ii-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii
χ1611-11-11-1-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-11111-11−ii1-1i−i-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i11-11-11-1-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-11111-11−ii1-1i−i-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i
χ17222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-100000000-1-1-1-100000000222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-100000000-1-1-1-100000000
χ18222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111100000000111100000000222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111100000000111100000000
χ19222222222-1-2-2-2-222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112200-2-200-1-1-1-100000000111100000000222222222-1-2-2-2-222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112200-2-200-1-1-1-100000000111100000000
χ20222222222-1-2-2-2-222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2002200111100000000-1-1-1-100000000222222222-1-2-2-2-222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2002200111100000000-1-1-1-100000000
χ2122222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200220000-1-1-1-1-1-1-1-100000000000022222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200220000-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-200001111111100000000000022222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-2000011111111000000000000
χ2322222222-12-2-2-2-2-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-211111111002200-2-20000-1-1-1-1111100000000000022222222-12-2-2-2-2-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-211111111002200-2-20000-1-1-1-11111000000000000
χ2422222222-12-2-2-2-2-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-21111111100-2-2002200001111-1-1-1-100000000000022222222-12-2-2-2-2-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-21111111100-2-2002200001111-1-1-1-1000000000000
χ25222-2-2-22-22200002-222222-2-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000002-22-20000222-2-2-22-22200002-222222-2-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000002-22-20000
χ26222-2-2-22-22200002-222222-2-2-2-2-2-2-222-222-2-2-20000000000000000000000000000000000000000-22-220000222-2-2-22-22200002-222222-2-2-2-2-2-2-222-222-2-2-20000000000000000000000000000000000000000-22-220000
χ2722-22-22-2-22-122-2-222-1-2-211112-1-2-2-1-1-1-11111-122-2-2-1-111-1-1-1-111112-2002-200-1-11100000000-1-1110000000022-22-22-2-22-122-2-222-1-2-211112-1-2-2-1-1-1-11111-122-2-2-1-111-1-1-1-111112-2002-200-1-11100000000-1-11100000000
χ2822-22-22-2-22-122-2-222-1-2-211112-1-2-2-1-1-1-11111-122-2-2-1-111-1-1-1-11111-2200-220011-1-10000000011-1-10000000022-22-22-2-22-122-2-222-1-2-211112-1-2-2-1-1-1-11111-122-2-2-1-111-1-1-1-11111-2200-220011-1-10000000011-1-100000000
χ2922-22-22-2-22-1-2-22222-1-2-211112-1-2-2-1-1-1-11111-1-2-22211-1-11111-1-1-1-12-200-2200-1-1110000000011-1-10000000022-22-22-2-22-1-2-22222-1-2-211112-1-2-2-1-1-1-11111-1-2-22211-1-11111-1-1-1-12-200-2200-1-1110000000011-1-100000000
χ3022-22-22-2-22-1-2-22222-1-2-211112-1-2-2-1-1-1-11111-1-2-22211-1-11111-1-1-1-1-22002-20011-1-100000000-1-1110000000022-22-22-2-22-1-2-22222-1-2-211112-1-2-2-1-1-1-11111-1-2-22211-1-11111-1-1-1-1-22002-20011-1-100000000-1-11100000000
χ3122-22-22-2-2-1222-2-2-1-1211-2-2-2-2-12112-1-1-11111-1-1-11122-2-2-1-1-1-11111002i−2i002i−2i0000−i−iii−i−iii00000000000022-22-22-2-2-1222-2-2-1-1211-2-2-2-2-12112-1-1-11111-1-1-11122-2-2-1-1-1-11111002i−2i002i−2i0000−i−iii−i−iii000000000000
χ3222-22-22-2-2-1222-2-2-1-1211-2-2-2-2-12112-1-1-11111-1-1-11122-2-2-1-1-1-1111100−2i2i00−2i2i0000ii−i−iii−i−i00000000000022-22-22-2-2-1222-2-2-1-1211-2-2-2-2-12112-1-1-11111-1-1-11122-2-2-1-1-1-1111100−2i2i00−2i2i0000ii−i−iii−i−i000000000000
χ3322-22-22-2-2-12-2-222-1-1211-2-2-2-2-12112-1-1-11111-111-1-1-2-2221111-1-1-1-1002i−2i00−2i2i0000−i−iiiii−i−i00000000000022-22-22-2-2-12-2-222-1-1211-2-2-2-2-12112-1-1-11111-111-1-1-2-2221111-1-1-1-1002i−2i00−2i2i0000−i−iiiii−i−i000000000000
χ3422-22-22-2-2-12-2-222-1-1211-2-2-2-2-12112-1-1-11111-111-1-1-2-2221111-1-1-1-100−2i2i002i−2i0000ii−i−i−i−iii00000000000022-22-22-2-2-12-2-222-1-1211-2-2-2-2-12112-1-1-11111-111-1-1-2-2221111-1-1-1-100−2i2i002i−2i0000ii−i−i−i−iii000000000000
χ3522-2-22-2-222200002-22-2-2-2-222-2-222-222-2-2-222-200000000000000000000000000000000000000002i−2i−2i2i000022-2-22-2-222200002-22-2-2-2-222-2-222-222-2-2-222-200000000000000000000000000000000000000002i−2i−2i2i0000
χ3622-2-22-2-222200002-22-2-2-2-222-2-222-222-2-2-222-20000000000000000000000000000000000000000−2i2i2i−2i000022-2-22-2-222200002-22-2-2-2-222-2-222-222-2-2-222-20000000000000000000000000000000000000000−2i2i2i−2i0000
χ372-222-2-2-22222i−2i2i−2i-22-22-22-22-2-222-2-22-222-22-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000002-222-2-2-22222i−2i2i−2i-22-22-22-22-2-222-2-22-222-22-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ382-222-2-2-2222−2i2i−2i2i-22-22-22-22-2-222-2-22-222-22-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000002-222-2-2-2222−2i2i−2i2i-22-22-22-22-2-222-2-22-222-22-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ392-222-2-2-222-12i−2i2i−2i-2212-2-11-11-2-12-21-11-1-11-1112i−2i2i−2i−ii−ii−i−iii−i−iii00000000−i3i3−i3i3000000003−33−3000000002-222-2-2-222-12i−2i2i−2i-2212-2-11-11-2-12-21-11-1-11-1112i−2i2i−2i−ii−ii−i−iii−i−iii00000000−i3i3−i3i3000000003−33−300000000
χ402-222-2-2-222-12i−2i2i−2i-2212-2-11-11-2-12-21-11-1-11-1112i−2i2i−2i−ii−ii−i−iii−i−iii00000000i3−i3i3−i300000000−33−33000000002-222-2-2-222-12i−2i2i−2i-2212-2-11-11-2-12-21-11-1-11-1112i−2i2i−2i−ii−ii−i−iii−i−iii00000000i3−i3i3−i300000000−33−3300000000
χ412-222-2-2-222-1−2i2i−2i2i-2212-2-11-11-2-12-21-11-1-11-111−2i2i−2i2ii−ii−iii−i−iii−i−i00000000−i3i3−i3i300000000−33−33000000002-222-2-2-222-1−2i2i−2i2i-2212-2-11-11-2-12-21-11-1-11-111−2i2i−2i2ii−ii−iii−i−iii−i−i00000000−i3i3−i3i300000000−33−3300000000
χ422-222-2-2-222-1−2i2i−2i2i-2212-2-11-11-2-12-21-11-1-11-111−2i2i−2i2ii−ii−iii−i−iii−i−i00000000i3−i3i3−i3000000003−33−3000000002-222-2-2-222-1−2i2i−2i2i-2212-2-11-11-2-12-21-11-1-11-111−2i2i−2i2ii−ii−iii−i−iii−i−i00000000i3−i3i3−i3000000003−33−300000000
χ432-222-2-2-22-122i−2i2i−2i1-1-2-112-22-212-11-2-11-1-11-111−ii−ii2i−2i2i−2i−i−iii−i−iii0000000000003−33−3−i3i3−i3i30000000000002-222-2-2-22-122i−2i2i−2i1-1-2-112-22-212-11-2-11-1-11-111−ii−ii2i−2i2i−2i−i−iii−i−iii0000000000003−33−3−i3i3−i3i3000000000000
χ442-222-2-2-22-122i−2i2i−2i1-1-2-112-22-212-11-2-11-1-11-111−ii−ii2i−2i2i−2i−i−iii−i−iii000000000000−33−33i3−i3i3−i30000000000002-222-2-2-22-122i−2i2i−2i1-1-2-112-22-212-11-2-11-1-11-111−ii−ii2i−2i2i−2i−i−iii−i−iii000000000000−33−33i3−i3i3−i3000000000000
χ452-222-2-2-22-12−2i2i−2i2i1-1-2-112-22-212-11-2-11-1-11-111i−ii−i−2i2i−2i2iii−i−iii−i−i0000000000003−33−3i3−i3i3−i30000000000002-222-2-2-22-12−2i2i−2i2i1-1-2-112-22-212-11-2-11-1-11-111i−ii−i−2i2i−2i2iii−i−iii−i−i0000000000003−33−3i3−i3i3−i3000000000000
χ462-222-2-2-22-12−2i2i−2i2i1-1-2-112-22-212-11-2-11-1-11-111i−ii−i−2i2i−2i2iii−i−iii−i−i000000000000−33−33−i3i3−i3i30000000000002-222-2-2-22-12−2i2i−2i2i1-1-2-112-22-212-11-2-11-1-11-111i−ii−i−2i2i−2i2iii−i−iii−i−i000000000000−33−33−i3i3−i3i3000000000000
χ472-22-222-2-2220000-2-2-22-22-2-222-2-2222-2-22-2-222000000000000000000000000000000000000000000002i−2i2i−2i2-22-222-2-2220000-2-2-22-22-2-222-2-2222-2-22-2-222000000000000000000000000000000000000000000002i−2i2i−2i
χ482-22-222-2-2220000-2-2-22-22-2-222-2-2222-2-22-2-22200000000000000000000000000000000000000000000−2i2i−2i2i2-22-222-2-2220000-2-2-22-22-2-222-2-2222-2-22-2-22200000000000000000000000000000000000000000000−2i2i−2i2i
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χ1614-44-444-4-4-2-20000222-22-222-2-222-2-21-1-11-1-111000000003-3-333-3-3300000000000000000000000000000000-44-44-4-444220000-2-2-22-22-2-222-2-222-111-111-1-100000000-333-3-333-300000000000000000000000000000000
χ1624-44-444-4-4-2-20000222-22-222-2-222-2-21-1-11-1-11100000000-333-3-333-300000000000000000000000000000000-44-44-4-444220000-2-2-22-22-2-222-2-222-111-111-1-1000000003-3-333-3-3300000000000000000000000000000000
χ1634-4-444-44-4-2-24i−4i−4i4i2-222-22-22-22-22-221-11-11-11-1−2i2i2i−2i−2i2i2i−2iii−i−i−i−iii00000000000000000000000000000000-444-4-44-4422−4i4i4i−4i-22-2-22-22-22-22-22-2-11-11-11-112i−2i−2i2i2i−2i−2i2i−i−iiiii−i−i00000000000000000000000000000000
χ1644-4-444-44-4-2-2−4i4i4i−4i2-222-22-22-22-22-221-11-11-11-12i−2i−2i2i2i−2i−2i2i−i−iiiii−i−i00000000000000000000000000000000-444-4-44-44224i−4i−4i4i-22-2-22-22-22-22-22-2-11-11-11-11−2i2i2i−2i−2i2i2i−2iii−i−i−i−iii00000000000000000000000000000000
χ1654-4-4-4-44444-20000-4-42-442-2-22424-4-2-2222-2-22-2000000000000000000000000000000000000000000000000-44444-4-4-4-42000044-24-4-222-2-4-2-4422-2-2-222-22000000000000000000000000000000000000000000000000
χ1664-4-4-4-4444-24000022-42-2-444-4-2-4-224-2222-2-22-2000000000000000000000000000000000000000000000000-44444-4-4-42-40000-2-24-224-4-44242-2-42-2-2-222-22000000000000000000000000000000000000000000000000
χ1674-4-4-4-4444-2-200002222-22-2-22-22-22-21-1-1-111-11000000003-3-33-333-300000000000000000000000000000000-44444-4-4-4220000-2-2-2-22-222-22-22-22-1111-1-11-100000000-333-33-3-3300000000000000000000000000000000
χ1684-4-4-4-4444-2-200002222-22-2-22-22-22-21-1-1-111-1100000000-333-33-3-3300000000000000000000000000000000-44444-4-4-4220000-2-2-2-22-222-22-22-22-1111-1-11-1000000003-3-33-333-300000000000000000000000000000000

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