Finite Group Databasebeta

← Group #11801736

Character table — Group #11801736

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222224444444444444444444444444466666666121212121212121212121212121212121212121218181818363611111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order1222222233666666666666663446666666121212121212121212121212121212124444444444441212121212121212121212121212121244444422222222666666666666666664466666661212121212121212121212121212121244444444444412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1
χ9111-1-11-1-1111111-1-1-1-1-1-11-1-1111-111-1-1-1-1111-1-111-1-11111-1-1-1-1ii−i−i11-1-11-1i−iii−i−iii−i−i11-1-111-1-1ii−i−ii−i111-1-11-1-1111111-1-1-1-1-1-11-1-1111-111-1-1-1-1111-1-111-1-11111-1-1-1-1ii−i−i11-1-11-1i−iii−i−iii−i−i11-1-111-1-1ii−i−ii−i
χ10111-1-11-1-1111111-1-1-1-1-1-11-1-1111-111-1-1-1-1111-1-111-1-11111-1-1-1-1ii−i−i-1-111-11i−iii−i−iii−i−i-1-111-1-111−i−iii−ii111-1-11-1-1111111-1-1-1-1-1-11-1-1111-111-1-1-1-1111-1-111-1-11111-1-1-1-1ii−i−i-1-111-11i−iii−i−iii−i−i-1-111-1-111−i−iii−ii
χ11111-1-11-1-1111111-1-1-1-1-1-11-1-1111-111-1-1-1-1111-1-111-1-11111-1-1-1-1−i−iii11-1-11-1−ii−i−iii−i−iii11-1-111-1-1−i−iii−ii111-1-11-1-1111111-1-1-1-1-1-11-1-1111-111-1-1-1-1111-1-111-1-11111-1-1-1-1−i−iii11-1-11-1−ii−i−iii−i−iii11-1-111-1-1−i−iii−ii
χ12111-1-11-1-1111111-1-1-1-1-1-11-1-1111-111-1-1-1-1111-1-111-1-11111-1-1-1-1−i−iii-1-111-11−ii−i−iii−i−iii-1-111-1-111ii−i−ii−i111-1-11-1-1111111-1-1-1-1-1-11-1-1111-111-1-1-1-1111-1-111-1-11111-1-1-1-1−i−iii-1-111-11−ii−i−iii−i−iii-1-111-1-111ii−i−ii−i
χ13111-1-11-1-1111111-1-1-1-1-1-11-1-111-1111-1-1-1-11-1-111-1-111-1-1-1-11111ii−i−i11-1-1-11−iiii−i−i−i−iii11-1-1-1-111ii−i−i−ii111-1-11-1-1111111-1-1-1-1-1-11-1-111-1111-1-1-1-11-1-111-1-111-1-1-1-11111ii−i−i11-1-1-11−iiii−i−i−i−iii11-1-1-1-111ii−i−i−ii
χ14111-1-11-1-1111111-1-1-1-1-1-11-1-111-1111-1-1-1-11-1-111-1-111-1-1-1-11111ii−i−i-1-1111-1−iiii−i−i−i−iii-1-11111-1-1−i−iiii−i111-1-11-1-1111111-1-1-1-1-1-11-1-111-1111-1-1-1-11-1-111-1-111-1-1-1-11111ii−i−i-1-1111-1−iiii−i−i−i−iii-1-11111-1-1−i−iiii−i
χ15111-1-11-1-1111111-1-1-1-1-1-11-1-111-1111-1-1-1-11-1-111-1-111-1-1-1-11111−i−iii11-1-1-11i−i−i−iiiii−i−i11-1-1-1-111−i−iiii−i111-1-11-1-1111111-1-1-1-1-1-11-1-111-1111-1-1-1-11-1-111-1-111-1-1-1-11111−i−iii11-1-1-11i−i−i−iiiii−i−i11-1-1-1-111−i−iiii−i
χ16111-1-11-1-1111111-1-1-1-1-1-11-1-111-1111-1-1-1-11-1-111-1-111-1-1-1-11111−i−iii-1-1111-1i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−ii111-1-11-1-1111111-1-1-1-1-1-11-1-111-1111-1-1-1-11-1-111-1-111-1-1-1-11111−i−iii-1-1111-1i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−ii
χ17222222222-122-1-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000022-1-1-1-1-1-1-1-100000000000000222222222-122-1-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000022-1-1-1-1-1-1-1-100000000000000
χ18222222222-122-1-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000-2-21111111100000000000000222222222-122-1-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000-2-21111111100000000000000
χ19222222222-122-1-12222-1-1-1-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111112222000000-2-2-1-1-1-1111100000000000000222222222-122-1-12222-1-1-1-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111112222000000-2-2-1-1-1-1111100000000000000
χ20222222222-122-1-12222-1-1-1-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-2000000221111-1-1-1-100000000000000222222222-122-1-12222-1-1-1-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-2000000221111-1-1-1-100000000000000
χ2122222222-12-1-122-1-1-1-122222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222220000000000-1-1-1-1-1-1-1-100000022222222-12-1-122-1-1-1-122222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222220000000000-1-1-1-1-1-1-1-1000000
χ2222222222-12-1-122-1-1-1-122222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-200000000001111111100000022222222-12-1-122-1-1-1-122222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000000011111111000000
χ2322222222-12-1-122-1-1-1-122222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111100002222-2-20000000000-1-1-1-1111100000022222222-12-1-122-1-1-1-122222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111100002222-2-20000000000-1-1-1-11111000000
χ2422222222-12-1-122-1-1-1-122222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-2-2-22200000000001111-1-1-1-100000022222222-12-1-122-1-1-1-122222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-2-2-22200000000001111-1-1-1-1000000
χ25222-2-22-2-22-122-1-1-2-2-2-211-1112-12-2-1-11111-1-1-11122-2-2-1-1-1-111112i2i−2i−2i0000002i−2i−i−iii−i−iii00000000000000222-2-22-2-22-122-1-1-2-2-2-211-1112-12-2-1-11111-1-1-11122-2-2-1-1-1-111112i2i−2i−2i0000002i−2i−i−iii−i−iii00000000000000
χ26222-2-22-2-22-122-1-1-2-2-2-211-1112-12-2-1-11111-1-1-11122-2-2-1-1-1-11111−2i−2i2i2i000000−2i2iii−i−iii−i−i00000000000000222-2-22-2-22-122-1-1-2-2-2-211-1112-12-2-1-11111-1-1-11122-2-2-1-1-1-11111−2i−2i2i2i000000−2i2iii−i−iii−i−i00000000000000
χ27222-2-22-2-22-122-1-1-2-2-2-211-1112-1-22-1-11111-111-1-1-2-2221111-1-1-1-12i2i−2i−2i000000−2i2i−i−iiiii−i−i00000000000000222-2-22-2-22-122-1-1-2-2-2-211-1112-1-22-1-11111-111-1-1-2-2221111-1-1-1-12i2i−2i−2i000000−2i2i−i−iiiii−i−i00000000000000
χ28222-2-22-2-22-122-1-1-2-2-2-211-1112-1-22-1-11111-111-1-1-2-2221111-1-1-1-1−2i−2i2i2i0000002i−2iii−i−i−i−iii00000000000000222-2-22-2-22-122-1-1-2-2-2-211-1112-1-22-1-11111-111-1-1-2-2221111-1-1-1-1−2i−2i2i2i0000002i−2iii−i−i−i−iii00000000000000
χ29222-2-22-2-2-12-1-1221111-2-22-2-2-1-12-2-1-11111-122-2-2-1-111-1-1-1-11111000022-2-22-20000000000-1-111-1-111000000222-2-22-2-2-12-1-1221111-2-22-2-2-1-12-2-1-11111-122-2-2-1-111-1-1-1-11111000022-2-22-20000000000-1-111-1-111000000
χ30222-2-22-2-2-12-1-1221111-2-22-2-2-1-12-2-1-11111-122-2-2-1-111-1-1-1-111110000-2-222-22000000000011-1-111-1-1000000222-2-22-2-2-12-1-1221111-2-22-2-2-1-12-2-1-11111-122-2-2-1-111-1-1-1-111110000-2-222-22000000000011-1-111-1-1000000
χ31222-2-22-2-2-12-1-1221111-2-22-2-2-1-1-22-1-11111-1-2-22211-1-11111-1-1-1-1000022-2-2-220000000000-1-11111-1-1000000222-2-22-2-2-12-1-1221111-2-22-2-2-1-1-22-1-11111-1-2-22211-1-11111-1-1-1-1000022-2-2-220000000000-1-11111-1-1000000
χ32222-2-22-2-2-12-1-1221111-2-22-2-2-1-1-22-1-11111-1-2-22211-1-11111-1-1-1-10000-2-2222-2000000000011-1-1-1-111000000222-2-22-2-2-12-1-1221111-2-22-2-2-1-1-22-1-11111-1-2-22211-1-11111-1-1-1-10000-2-2222-2000000000011-1-1-1-111000000
χ3322-222-2-2-2222-22-222-2-22-2-22-2-22002-222-2-2-200000000000000002-22-2000000002-22-200000000000000000022-222-2-2-2222-22-222-2-22-2-22-2-22002-222-2-2-200000000000000002-22-2000000002-22-2000000000000000000
χ3422-222-2-2-2222-22-222-2-22-2-22-2-22002-222-2-2-20000000000000000-22-2200000000-22-2200000000000000000022-222-2-2-2222-22-222-2-22-2-22-2-22002-222-2-2-20000000000000000-22-2200000000-22-22000000000000000000
χ3522-222-2-2-22-12-2-1122-2-2-111-11-2-100-11-1-11113−33−3000033−3−333−3−32-22-200000000-11-113−33−30000000000000022-222-2-2-22-12-2-1122-2-2-111-11-2-100-11-1-11113−33−3000033−3−333−3−32-22-200000000-11-113−33−300000000000000
χ3622-222-2-2-22-12-2-1122-2-2-111-11-2-100-11-1-11113−33−3000033−3−333−3−3-22-22000000001-11-1−33−330000000000000022-222-2-2-22-12-2-1122-2-2-111-11-2-100-11-1-11113−33−3000033−3−333−3−3-22-22000000001-11-1−33−3300000000000000
χ3722-222-2-2-22-12-2-1122-2-2-111-11-2-100-11-1-1111−33−330000−3−333−3−3332-22-200000000-11-11−33−330000000000000022-222-2-2-22-12-2-1122-2-2-111-11-2-100-11-1-1111−33−330000−3−333−3−3332-22-200000000-11-11−33−3300000000000000
χ3822-222-2-2-22-12-2-1122-2-2-111-11-2-100-11-1-1111−33−330000−3−333−3−333-22-22000000001-11-13−33−30000000000000022-222-2-2-22-12-2-1122-2-2-111-11-2-100-11-1-1111−33−330000−3−333−3−333-22-22000000001-11-13−33−300000000000000
χ3922-2-2-2-222222-22-2-2-222-22-2-22-22002-2-2-222-200000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000000022-2-2-2-222222-22-2-2-222-22-2-22-22002-2-2-222-200000000000000002i−2i−2i2i000000002i−2i−2i2i000000000000000000
χ4022-2-2-2-222222-22-2-2-222-22-2-22-22002-2-2-222-20000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000000022-2-2-2-222222-22-2-2-222-22-2-22-22002-2-2-222-20000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000000000000000
χ4122-2-2-2-2222-12-2-11-2-2221-111-1-2-100-1111-1-113−3−33000033−3−3−3−3332i−2i−2i2i00000000−iii−ii3−i3−i3i30000000000000022-2-2-2-2222-12-2-11-2-2221-111-1-2-100-1111-1-113−3−33000033−3−3−3−3332i−2i−2i2i00000000−iii−ii3−i3−i3i300000000000000
χ4222-2-2-2-2222-12-2-11-2-2221-111-1-2-100-1111-1-113−3−33000033−3−3−3−333−2i2i2i−2i00000000i−i−ii−i3i3i3−i30000000000000022-2-2-2-2222-12-2-11-2-2221-111-1-2-100-1111-1-113−3−33000033−3−3−3−333−2i2i2i−2i00000000i−i−ii−i3i3i3−i300000000000000
χ4322-2-2-2-2222-12-2-11-2-2221-111-1-2-100-1111-1-11−333−30000−3−33333−3−32i−2i−2i2i00000000−iii−i−i3i3i3−i30000000000000022-2-2-2-2222-12-2-11-2-2221-111-1-2-100-1111-1-11−333−30000−3−33333−3−32i−2i−2i2i00000000−iii−i−i3i3i3−i300000000000000
χ4422-2-2-2-2222-12-2-11-2-2221-111-1-2-100-1111-1-11−333−30000−3−33333−3−3−2i2i2i−2i00000000i−i−iii3−i3−i3i30000000000000022-2-2-2-2222-12-2-11-2-2221-111-1-2-100-1111-1-11−333−30000−3−33333−3−3−2i2i2i−2i00000000i−i−iii3−i3−i3i300000000000000
χ452-222-2-22-222-22-222-22-222-2-2-2-2200-222-22-2-2000000000000000000000000000000000000000000002-22-2002-222-2-22-222-22-222-22-222-2-2-2-2200-222-22-2-2000000000000000000000000000000000000000000002-22-200
χ462-222-2-22-222-22-222-22-222-2-2-2-2200-222-22-2-200000000000000000000000000000000000000000000-22-22002-222-2-22-222-22-222-22-222-2-2-2-2200-222-22-2-200000000000000000000000000000000000000000000-22-2200
χ472-22-22-2-2222-22-22-22-22-2-2-222-2200-22-22-22-2000000000000000000000000000000000000000000002i−2i−2i2i002-22-22-2-2222-22-22-22-22-2-2-222-2200-22-22-22-2000000000000000000000000000000000000000000002i−2i−2i2i00
χ482-22-22-2-2222-22-22-22-22-2-2-222-2200-22-22-22-200000000000000000000000000000000000000000000−2i2i2i−2i002-22-22-2-2222-22-22-22-22-2-2-222-2200-22-22-22-200000000000000000000000000000000000000000000−2i2i2i−2i00
χ492-2-22-22-2222-2-2-2-22-2-222-22-222200-2-22-2-222000000000000000000002-22-20000000000002-22-200000000002-2-22-22-2222-2-2-2-22-2-222-22-222200-2-22-2-222000000000000000000002-22-20000000000002-22-20000000000
χ502-2-22-22-2222-2-2-2-22-2-222-22-222200-2-22-2-22200000000000000000000-22-22000000000000-22-2200000000002-2-22-22-2222-2-2-2-22-2-222-22-222200-2-22-2-22200000000000000000000-22-22000000000000-22-220000000000
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χ1684-4-4-4444-4-2-222222-2-222-2-2-22-2100-1-1-111-1100002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000-4444-4-4-4422-2-2-2-2-222-2-2222-22-100111-1-11-10000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000

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