Finite Group Databasebeta

← Group #11801369

Character table — Group #11801369

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222224444444444444444444444444466666666121212121212121212121212121212121212121218181818363611111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order1222222233666666666666663446666666121212121212121212121212121212124444444444441212121212121212121212121212121244444422222222666666666666666664466666661212121212121212121212121212121244444444444412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ911-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i11-1-1i−i1-111-1-111-1-1ii−i−iii−i−iii−i−i1-111-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i11-1-1i−i1-111-1-111-1-1ii−i−iii−i−iii−i−i1-1
χ1011-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i-1-111−ii1-111-1-1-1-111−i−iiiii−i−i−i−iii-1111-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i-1-111−ii1-111-1-1-1-111−i−iiiii−i−i−i−iii-11
χ1111-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii11-1-1i−i-11-1-11111-1-1ii−i−i−i−iii−i−iii-1111-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii11-1-1i−i-11-1-11111-1-1ii−i−i−i−iii−i−iii-11
χ1211-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii-1-111−ii-11-1-111-1-111−i−iii−i−iiiii−i−i1-111-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii-1-111−ii-11-1-111-1-111−i−iii−i−iiiii−i−i1-1
χ1311-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−i11-1-1−ii-11-1-11111-1-1−i−iiiii−i−iii−i−i-1111-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−i11-1-1−ii-11-1-11111-1-1−i−iiiii−i−iii−i−i-11
χ1411-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−i-1-111i−i-11-1-111-1-111ii−i−iii−i−i−i−iii1-111-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−i-1-111i−i-11-1-111-1-111ii−i−iii−i−i−i−iii1-1
χ1511-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii11-1-1−ii1-111-1-111-1-1−i−iii−i−iii−i−iii1-111-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii11-1-1−ii1-111-1-111-1-1−i−iii−i−iii−i−iii1-1
χ1611-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii-1-111i−i1-111-1-1-1-111ii−i−i−i−iiiii−i−i-1111-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii-1-111i−i1-111-1-1-1-111ii−i−i−i−iiiii−i−i-11
χ17222222222-122-1-1222-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222222000000-1-1-1-1-1-1-1-10000000000222222222-122-1-1222-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222222000000-1-1-1-1-1-1-1-10000000000
χ18222222222-122-1-1222-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000111111110000000000222222222-122-1-1222-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000111111110000000000
χ19222222222-122-1-1222-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111100002222-2-2000000-1-1-1-111110000000000222222222-122-1-1222-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111100002222-2-2000000-1-1-1-111110000000000
χ20222222222-122-1-1222-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-2-2-2220000001111-1-1-1-10000000000222222222-122-1-1222-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-2-2-2220000001111-1-1-1-10000000000
χ2122222222-12-1-122-1-1-1222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000022-1-1-1-100000000-1-1-1-100000022222222-12-1-122-1-1-1222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000022-1-1-1-100000000-1-1-1-1000000
χ2222222222-12-1-122-1-1-1222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2111100000000111100000022222222-12-1-122-1-1-1222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-21111000000001111000000
χ2322222222-12-1-122-1-1-1222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111112222000000-2-2111100000000-1-1-1-100000022222222-12-1-122-1-1-1222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111112222000000-2-2111100000000-1-1-1-1000000
χ2422222222-12-1-122-1-1-1222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-200000022-1-1-1-100000000111100000022222222-12-1-122-1-1-1222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-200000022-1-1-1-1000000001111000000
χ25222-2-2-2-22222-22-222-222-2-2-2-2-22002-2-222-2-2000000000000000000000000000000000000000000002-22-200222-2-2-2-22222-22-222-222-2-2-2-2-22002-2-222-2-2000000000000000000000000000000000000000000002-22-200
χ26222-2-2-2-22222-22-222-222-2-2-2-2-22002-2-222-2-200000000000000000000000000000000000000000000-22-2200222-2-2-2-22222-22-222-222-2-2-2-2-22002-2-222-2-200000000000000000000000000000000000000000000-22-2200
χ2722-222-2-2-2222-22-2-2-22-2-22-2-2222002-2-2-2-222000000000000000000000000000000000000000000002i−2i−2i2i0022-222-2-2-2222-22-2-2-22-2-22-2-2222002-2-2-2-222000000000000000000000000000000000000000000002i−2i−2i2i00
χ2822-222-2-2-2222-22-2-2-22-2-22-2-2222002-2-2-2-22200000000000000000000000000000000000000000000−2i2i2i−2i0022-222-2-2-2222-22-2-2-22-2-22-2-2222002-2-2-2-22200000000000000000000000000000000000000000000−2i2i2i−2i00
χ2922-2-2-222-22-122-1-1-2-2-21112-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii000022-2-22i−2i000000-1-111−i−iii000000000022-2-2-222-22-122-1-1-2-2-21112-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii000022-2-22i−2i000000-1-111−i−iii0000000000
χ3022-2-2-222-22-122-1-1-2-2-21112-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000-2-222−2i2i00000011-1-1ii−i−i000000000022-2-2-222-22-122-1-1-2-2-21112-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000-2-222−2i2i00000011-1-1ii−i−i0000000000
χ3122-2-2-222-22-122-1-1-2-2-21112-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i000022-2-2−2i2i000000-1-111ii−i−i000000000022-2-2-222-22-122-1-1-2-2-21112-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i000022-2-2−2i2i000000-1-111ii−i−i0000000000
χ3222-2-2-222-22-122-1-1-2-2-21112-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000-2-2222i−2i00000011-1-1−i−iii000000000022-2-2-222-22-122-1-1-2-2-21112-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000-2-2222i−2i00000011-1-1−i−iii0000000000
χ3322-2-2-222-2-12-1-122111-2-2-2-12-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i0000002-2-1-11100000000−i−iii00000022-2-2-222-2-12-1-122111-2-2-2-12-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i0000002-2-1-11100000000−i−iii000000
χ3422-2-2-222-2-12-1-122111-2-2-2-12-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2i000000-2211-1-100000000ii−i−i00000022-2-2-222-2-12-1-122111-2-2-2-12-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2i000000-2211-1-100000000ii−i−i000000
χ3522-2-2-222-2-12-1-122111-2-2-2-12-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i000000-2211-1-100000000−i−iii00000022-2-2-222-2-12-1-122111-2-2-2-12-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i000000-2211-1-100000000−i−iii000000
χ3622-2-2-222-2-12-1-122111-2-2-2-12-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2i0000002-2-1-11100000000ii−i−i00000022-2-2-222-2-12-1-122111-2-2-2-12-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2i0000002-2-1-11100000000ii−i−i000000
χ372-222-22-2-222-2-2-2-22-222-2-2222-2200-22-22-22-200000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000002-222-22-2-222-2-2-2-22-222-2-2222-2200-22-22-22-200000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i000000
χ382-222-22-2-222-2-2-2-22-222-2-2222-2200-22-22-22-20000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000002-222-22-2-222-2-2-2-22-222-2-2222-2200-22-22-22-20000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i000000
χ392-222-22-2-2-1211-2-2-11-12-2-2-1221-1001-11-11-1100003−33−333−3−333−3−32i−2i2i−2i00000000−i3i3−i3i300000000−ii−ii0000002-222-22-2-2-1211-2-2-11-12-2-2-1221-1001-11-11-1100003−33−333−3−333−3−32i−2i2i−2i00000000−i3i3−i3i300000000−ii−ii000000
χ402-222-22-2-2-1211-2-2-11-12-2-2-1221-1001-11-11-1100003−33−333−3−333−3−3−2i2i−2i2i00000000i3−i3i3−i300000000i−ii−i0000002-222-22-2-2-1211-2-2-11-12-2-2-1221-1001-11-11-1100003−33−333−3−333−3−3−2i2i−2i2i00000000i3−i3i3−i300000000i−ii−i000000
χ412-222-22-2-2-1211-2-2-11-12-2-2-1221-1001-11-11-110000−33−33−3−333−3−3332i−2i2i−2i00000000i3−i3i3−i300000000−ii−ii0000002-222-22-2-2-1211-2-2-11-12-2-2-1221-1001-11-11-110000−33−33−3−333−3−3332i−2i2i−2i00000000i3−i3i3−i300000000−ii−ii000000
χ422-222-22-2-2-1211-2-2-11-12-2-2-1221-1001-11-11-110000−33−33−3−333−3−333−2i2i−2i2i00000000−i3i3−i3i300000000i−ii−i0000002-222-22-2-2-1211-2-2-11-12-2-2-1221-1001-11-11-110000−33−33−3−333−3−333−2i2i−2i2i00000000−i3i3−i3i300000000i−ii−i000000
χ432-22-22-22-222-22-222-2-22-22-2-2-22200-2-222-2-22000000000000000000002i−2i2i−2i000000002i−2i2i−2i000000000000002-22-22-22-222-22-222-2-22-22-2-2-22200-2-222-2-22000000000000000000002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ442-22-22-22-222-22-222-2-22-22-2-2-22200-2-222-2-2200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i000000000000002-22-22-22-222-22-222-2-22-22-2-2-22200-2-222-2-2200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ452-22-22-22-22-1-221-12-2-2-11-1-2112-10011-1-111-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i00000000−ii−ii3−33−300000000002-22-22-22-22-1-221-12-2-2-11-1-2112-10011-1-111-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i00000000−ii−ii3−33−30000000000
χ462-22-22-22-22-1-221-12-2-2-11-1-2112-10011-1-111-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i00000000i−ii−i−33−3300000000002-22-22-22-22-1-221-12-2-2-11-1-2112-10011-1-111-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i00000000i−ii−i−33−330000000000
χ472-22-22-22-22-1-221-12-2-2-11-1-2112-10011-1-111-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i00000000−ii−ii−33−3300000000002-22-22-22-22-1-221-12-2-2-11-1-2112-10011-1-111-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i00000000−ii−ii−33−330000000000
χ482-22-22-22-22-1-221-12-2-2-11-1-2112-10011-1-111-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i00000000i−ii−i3−33−300000000002-22-22-22-22-1-221-12-2-2-11-1-2112-10011-1-111-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i00000000i−ii−i3−33−30000000000
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χ1644-4-44-4-444-2-22-22-22-2-22-2222-22100-1-11-111-123−23−23230000−33−333−33−30000000000000000000000000000000000-444-444-4-422-22-22-222-22-2-2-22-2-10011-11-1-11−232323−2300003−33−3−33−330000000000000000000000000000000000
χ1654-4-44-4-444-2-22-22-22-2-22-2222-22100-1-11-111-1−232323−2300003−33−3−33−330000000000000000000000000000000000-444-444-4-422-22-22-222-22-2-2-22-2-10011-11-1-1123−23−23230000−33−333−33−30000000000000000000000000000000000
χ1664-4-4-444-444-2-4-422-44-42-2-24-224-2002-222-22-200000000000000000000000000000000000000000000000000-4444-4-44-4-4244-2-24-44-222-42-2-4200-22-2-22-2200000000000000000000000000000000000000000000000000
χ1674-4-4-444-44-2-222222-222-2-2-2-22-2100-11-1-11-110000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000-4444-4-44-422-2-2-2-2-22-2-22222-22-1001-111-11-100002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ1684-4-4-444-44-2-222222-222-2-2-2-22-2100-11-1-11-1100002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000-4444-4-44-422-2-2-2-2-22-2-22222-22-1001-111-11-10000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000

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