Finite Group Databasebeta

← Group #10701538

Character table — Group #10701538

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222222222222222222222224444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order1222222222223444444446666666666666668888888888881212121212121212242424242424242424242424242424244444444412121212121212121212121212121212444444448888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111-1-11-1-111-1-1111-1-1-111-1111111-1-1-1-1-1-1-1-11iiii−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i
χ10111-1-11-1-111-1-1111-1-1-111-1111111-1-1-1-1-1-1-1-11iiii−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-111−i−iii
χ11111-1-11-1-111-1-1111-1-1-111-1111111-1-1-1-1-1-1-1-11iiii−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-111−i−iii
χ12111-1-11-1-111-1-1111-1-1-111-1111111-1-1-1-1-1-1-1-11iiii−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i
χ13111-1-11-1-111-1-1111-1-1-111-1111111-1-1-1-1-1-1-1-11−i−i−i−iiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-1111111-1-1−i−iii
χ14111-1-11-1-111-1-1111-1-1-111-1111111-1-1-1-1-1-1-1-11−i−i−i−iiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i
χ15111-1-11-1-111-1-1111-1-1-111-1111111-1-1-1-1-1-1-1-11−i−i−i−iiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-111ii−i−i
χ16111-1-11-1-111-1-1111-1-1-111-1111111-1-1-1-1-1-1-1-11−i−i−i−iiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii
χ171-1-1111-1-11-11-11111-11-1-1-111-1-1-1-1111-1-1-1-11111-1-111-1-11-11-111-1-11-1-111111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181-1-1111-1-11-11-11111-11-1-1-111-1-1-1-1111-1-1-1-11111-1-111-1-11-11-111-1-11-1-111111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191-1-1111-1-11-11-11111-11-1-1-111-1-1-1-1111-1-1-1-11111-1-111-1-11-11-111-1-11-1-111111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201-1-1111-1-11-11-11111-11-1-1-111-1-1-1-1111-1-1-1-11111-1-111-1-11-11-111-1-11-1-111111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211-1-1111-1-11-11-11111-11-1-1-111-1-1-1-1111-1-1-1-111-1-111-1-111-11-1111-1-11-1-11-1-1-1-11111-1-1-1-111111-11-1-11-1111-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221-1-1111-1-11-11-11111-11-1-1-111-1-1-1-1111-1-1-1-111-1-111-1-111-11-1111-1-11-1-11-1-1-1-11111-1-1-1-111111-11-1-11-1111-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231-1-1111-1-11-11-11111-11-1-1-111-1-1-1-1111-1-1-1-111-1-111-1-111-11-1111-1-11-1-11-1-1-1-11111-1-1-1-11111-11-111-11-1-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241-1-1111-1-11-11-11111-11-1-1-111-1-1-1-1111-1-1-1-111-1-111-1-111-11-1111-1-11-1-11-1-1-1-11111-1-1-1-11111-11-111-11-1-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251-1-1-1-11111-1-11111-11-1-1-1111-1-1-1-1-1-1-11111-11ii−i−i−i−iiii−i−ii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-11111-1-1-1-111−i−iiiii−i−i−iii−i1-1-11
χ261-1-1-1-11111-1-11111-11-1-1-1111-1-1-1-1-1-1-11111-11ii−i−i−i−iiii−i−ii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-1-11111-1-1ii−i−i−i−iiii−i−ii-111-1
χ271-1-1-1-11111-1-11111-11-1-1-1111-1-1-1-1-1-1-11111-11ii−i−i−i−iiii−i−ii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1−i−iiiii−i−i-1-11111-1-111-1-1-1-111−i−iiiii−i−ii−i−ii-111-1
χ281-1-1-1-11111-1-11111-11-1-1-1111-1-1-1-1-1-1-11111-11ii−i−i−i−iiii−i−ii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−iii−i1-1-11
χ291-1-1-1-11111-1-11111-11-1-1-1111-1-1-1-1-1-1-11111-11−i−iiiii−i−i−iii−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1ii−i−i−i−iii-1-11111-1-111-1-1-1-111ii−i−i−i−iii−iii−i-111-1
χ301-1-1-1-11111-1-11111-11-1-1-1111-1-1-1-1-1-1-11111-11−i−iiiii−i−i−iii−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-1-11111-1-1−i−iiiii−i−ii−i−ii1-1-11
χ311-1-1-1-11111-1-11111-11-1-1-1111-1-1-1-1-1-1-11111-11−i−iiiii−i−i−iii−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-11111-1-1-1-111ii−i−i−i−iiii−i−ii1-1-11
χ321-1-1-1-11111-1-11111-11-1-1-1111-1-1-1-1-1-1-11111-11−i−iiiii−i−i−iii−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-1-11111-1-1−i−iiiii−i−i−iii−i-111-1
χ332222222222222-2-2-2-2-2-2-2-2222222222222222000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ342222222222222-2-2-2-2-2-2-2-2222222222222222000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ35222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ36222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ37222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ38222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ3922222222-2-2-2-222-22-2-22-22-2-222-2-22-2-222-2-2220000000000002-22-222-2-200000000000000000000000000000000000000002-22-22-22-20000000000000000
χ4022222222-2-2-2-222-22-2-22-22-2-222-2-22-2-222-2-2220000000000002-22-222-2-20000000000000000000000000000000000000000-22-22-22-220000000000000000
χ4122222222-2-2-2-22-22-222-22-2-2-222-2-22-2-222-2-22222222222-2-2-2-2-22-22-2-22222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ4222222222-2-2-2-22-22-222-22-2-2-222-2-22-2-222-2-222-2-2-2-2-2-2-2-22222-22-22-2-222-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ4322222222-2-2-2-2-1-22-222-22-211-1-111-111-1-111-1-122222222-2-2-2-21-11-111-1-1-1-111-1-111-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ4422222222-2-2-2-2-1-22-222-22-211-1-111-111-1-111-1-122222222-2-2-2-21-11-111-1-1-1-111-1-111-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ4522222222-2-2-2-2-1-22-222-22-211-1-111-111-1-111-1-1-2-2-2-2-2-2-2-222221-11-111-1-111-1-111-1-111-1-111-1-100000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ4622222222-2-2-2-2-1-22-222-22-211-1-111-111-1-111-1-1-2-2-2-2-2-2-2-222221-11-111-1-111-1-111-1-111-1-111-1-100000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ47222-2-22-2-222-2-22-2-2222-2-22222222-2-2-2-2-2-2-2-22000000000000-2-2-2-222220000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ48222-2-22-2-222-2-22-2-2222-2-22222222-2-2-2-2-2-2-2-22000000000000-2-2-2-22222000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ49222-2-22-2-222-2-2-122-2-2-222-2-1-1-1-1-1-111111111-12i2i2i2i−2i−2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2i2i−2i−2i22-2-2−i−i−i−iiiii-1-1-1-11111000000000000000000000000
χ50222-2-22-2-222-2-2-122-2-2-222-2-1-1-1-1-1-111111111-12i2i2i2i−2i−2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−2i−2i2i2i-2-222iiii−i−i−i−i1111-1-1-1-1000000000000000000000000
χ51222-2-22-2-222-2-2-122-2-2-222-2-1-1-1-1-1-111111111-1−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2i2i−2i−2i-2-222−i−i−i−iiiii1111-1-1-1-1000000000000000000000000
χ52222-2-22-2-222-2-2-122-2-2-222-2-1-1-1-1-1-111111111-1−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−2i−2i2i2i22-2-2iiii−i−i−i−i-1-1-1-11111000000000000000000000000
χ53222-2-22-2-2-2-22222-2-2222-2-2-2-222-2-2-222-2-222-220000000000002-22-2-2-22200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ54222-2-22-2-2-2-22222-2-2222-2-2-2-222-2-2-222-2-222-220000000000002-22-2-2-2220000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ55222-2-22-2-2-2-2222-222-2-2-222-2-222-2-2-222-2-222-222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-22-2222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ56222-2-22-2-2-2-2222-222-2-2-222-2-222-2-2-222-2-222-22−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-22-2222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ57222-2-22-2-2-2-222-1-222-2-2-22211-1-1111-1-111-1-11-12i2i2i2i−2i−2i−2i−2i−2i−2i2i2i1-11-1-1-111−i−iii−i−iiiii−i−iii−i−i000000003−33−3−33−33−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ58222-2-22-2-2-2-222-1-222-2-2-22211-1-1111-1-111-1-11-12i2i2i2i−2i−2i−2i−2i−2i−2i2i2i1-11-1-1-111−i−iii−i−iiiii−i−iii−i−i00000000−33−333−33−3i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ59222-2-22-2-2-2-222-1-222-2-2-22211-1-1111-1-111-1-11-1−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i1-11-1-1-111ii−i−iii−i−i−i−iii−i−iii000000003−33−3−33−33i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ60222-2-22-2-2-2-222-1-222-2-2-22211-1-1111-1-111-1-11-1−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i1-11-1-1-111ii−i−iii−i−i−i−iii−i−iii00000000−33−333−33−3−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ612-2-2222-2-22-22-22-2-2-22-222222-2-2-2-2222-2-2-2-222000000000000-2-222-222-20000000000000000000000000000000000000000000000002-2-222-2-2200000000
χ622-2-2222-2-22-22-22-2-2-22-222222-2-2-2-2222-2-2-2-222000000000000-2-222-222-2000000000000000000000000000000000000000000000000-222-2-222-200000000
χ632-2-2222-2-22-22-2-1222-22-2-2-2-1-11111-1-1-11111-1-122-2-222-2-22-22-2-1-111-111-1-1-1-1-11111-1-1-1-111112-22-22-22-2-1-111-1-111-1-111-1-111000000000000000000000000
χ642-2-2222-2-22-22-2-1222-22-2-2-2-1-11111-1-1-11111-1-122-2-222-2-22-22-2-1-111-111-1-1-1-1-11111-1-1-1-11111-22-22-22-2211-1-111-1-111-1-111-1-1000000000000000000000000
χ652-2-2222-2-22-22-2-1222-22-2-2-2-1-11111-1-1-11111-1-1-2-222-2-222-22-22-1-111-111-11111-1-1-1-11111-1-1-1-12-22-2-22-22-1-111-1-11111-1-111-1-1000000000000000000000000
χ662-2-2222-2-22-22-2-1222-22-2-2-2-1-11111-1-1-11111-1-1-2-222-2-222-22-22-1-111-111-11111-1-1-1-11111-1-1-1-1-22-222-22-211-1-111-1-1-1-111-1-111000000000000000000000000
χ672-2-2222-2-2-22-2222-222-2-22-2-2-2-2-2222-2-2-2-222220000000000002-2-222-22-200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
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Here i is the imaginary unit (i² = −1).