Finite Group Databasebeta

← Group #10801936

Character table — Group #10801936

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222222222222222222222224444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order122222223444444444444666666688888888121212121212121288881212121212121212242424242424242424242424242424244444444412121212121212121212121212121212224444448888888844444444
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ10111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ11111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ12111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-111
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111
χ171-111-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1ii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−ii−i1-111-1-1ii−i−iii−i−i11-1-11-1i−ii−i1-1ii−i−i11-1-11-1i−ii−i1-1
χ181-111-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1ii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−ii−i1-111-1-1ii−i−iii−i−i11-1-1-11−ii−ii-11−i−iii-1-111-11−ii−ii-11
χ191-111-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1ii−i−i1-1iiii−i−i−i−i1111-1-1-1-1-11−ii−ii-11-1-111−i−iii−i−iii-1-1111-1i−ii−i1-1ii−i−i11-1-1-11−ii−ii-11
χ201-111-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1ii−i−i1-1iiii−i−i−i−i1111-1-1-1-1-11−ii−ii-11-1-111−i−iii−i−iii-1-111-11−ii−ii-11−i−iii-1-1111-1i−ii−i1-1
χ211-111-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1ii−i−i1-1−i−i−i−iiiii-1-1-1-111111-1−iii−i-1111-1-1ii−i−i−i−iii-1-1111-1i−ii−i1-1−i−iii-1-111-11−iii−i1-1
χ221-111-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1ii−i−i1-1−i−i−i−iiiii-1-1-1-111111-1−iii−i-1111-1-1ii−i−i−i−iii-1-111-11−ii−ii-11ii−i−i11-1-11-1i−i−ii-11
χ231-111-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1ii−i−i1-1−i−i−i−iiiii-1-1-1-11111-11i−i−ii1-1-1-111−i−iiiii−i−i11-1-11-1i−ii−i1-1−i−iii-1-1111-1i−i−ii-11
χ241-111-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1ii−i−i1-1−i−i−i−iiiii-1-1-1-11111-11i−i−ii1-1-1-111−i−iiiii−i−i11-1-1-11−ii−ii-11ii−i−i11-1-1-11−iii−i1-1
χ251-111-1-1-111−i−iii−i−iii1-11-11-1-11-11-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−i−iii1-1iiii−i−i−i−i-1-1-1-111111-1i−i−ii-1111-1-1−i−iiiii−i−i-1-1111-1−ii−ii1-1ii−i−i-1-111-11i−i−ii1-1
χ261-111-1-1-111−i−iii−i−iii1-11-11-1-11-11-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−i−iii1-1iiii−i−i−i−i-1-1-1-111111-1i−i−ii-1111-1-1−i−iiiii−i−i-1-111-11i−ii−i-11−i−iii11-1-11-1−iii−i-11
χ271-111-1-1-111−i−iii−i−iii1-11-11-1-11-11-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−i−iii1-1iiii−i−i−i−i-1-1-1-11111-11−iii−i1-1-1-111ii−i−i−i−iii11-1-11-1−ii−ii1-1ii−i−i-1-1111-1−iii−i-11
χ281-111-1-1-111−i−iii−i−iii1-11-11-1-11-11-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−i−iii1-1iiii−i−i−i−i-1-1-1-11111-11−iii−i1-1-1-111ii−i−i−i−iii11-1-1-11i−ii−i-11−i−iii11-1-1-11i−i−ii1-1
χ291-111-1-1-111−i−iii−i−iii1-11-11-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii−ii1-111-1-1−i−iii−i−iii11-1-11-1−ii−ii1-1−i−iii11-1-11-1−ii−ii1-1
χ301-111-1-1-111−i−iii−i−iii1-11-11-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii−ii1-111-1-1−i−iii−i−iii11-1-1-11i−ii−i-11ii−i−i-1-111-11i−ii−i-11
χ311-111-1-1-111−i−iii−i−iii1-11-11-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−i−iii1-1−i−i−i−iiiii1111-1-1-1-1-11i−ii−i-11-1-111ii−i−iii−i−i-1-1111-1−ii−ii1-1−i−iii11-1-1-11i−ii−i-11
χ321-111-1-1-111−i−iii−i−iii1-11-11-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−i−iii1-1−i−i−i−iiiii1111-1-1-1-1-11i−ii−i-11-1-111ii−i−iii−i−i-1-111-11i−ii−i-11ii−i−i-1-1111-1−ii−ii1-1
χ332222222222222-2-2-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-20000-2-22222-2-2000000000000000000000000000000000000000022-2-222-2-20000000000000000
χ342222222222222-2-2-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-20000-2-22222-2-20000000000000000000000000000000000000000-2-222-2-2220000000000000000
χ35222222222-2-2-2-22222-2-2-2-2222222200000000222222220000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002222-2-2-2-20000000000000000
χ36222222222-2-2-2-22222-2-2-2-2222222200000000222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-222220000000000000000
χ3722222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3822222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ3922222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ4022222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-22211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ4122222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-12222222211111111-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ4222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-12222222211111111-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ4322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ4422222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ4522-2-2-22-2222i−2i2i−2i2i−2i2i−2i2-2-22-22-2-222-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2-22i−2i2i−2i-2222-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4622-2-2-22-2222i−2i2i−2i2i−2i2i−2i2-2-22-22-2-222-2-2-222-2-2222i2i−2i−2i2i2i−2i−2i−2i2i−2i2i2-22i−2i2i−2i-22-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4722-2-2-22-2222i−2i2i−2i−2i2i−2i2i-222-2-22-2-222-200000000−2i−2i2i2i−2i−2i2i2i0000-222i−2i2i−2i2-20000000000000000000000000000000000000000000000002i−2i2i−2i2-22-200000000
χ4822-2-2-22-2222i−2i2i−2i−2i2i−2i2i-222-2-22-2-222-200000000−2i−2i2i2i−2i−2i2i2i0000-222i−2i2i−2i2-2000000000000000000000000000000000000000000000000−2i2i−2i2i-22-2200000000
χ4922-2-2-22-222−2i2i−2i2i2i−2i2i−2i-222-2-22-2-222-2000000002i2i−2i−2i2i2i−2i−2i0000-22−2i2i−2i2i2-20000000000000000000000000000000000000000000000002i−2i2i−2i-22-2200000000
χ5022-2-2-22-222−2i2i−2i2i2i−2i2i−2i-222-2-22-2-222-2000000002i2i−2i−2i2i2i−2i−2i0000-22−2i2i−2i2i2-2000000000000000000000000000000000000000000000000−2i2i−2i2i2-22-200000000
χ5122-2-2-22-222−2i2i−2i2i−2i2i−2i2i2-2-22-22-2-222-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i2-2−2i2i−2i2i-2222-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ5222-2-2-22-222−2i2i−2i2i−2i2i−2i2i2-2-22-22-2-222-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i2-2−2i2i−2i2i-22-2-222-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ5322-2-2-22-22-12i−2i2i−2i2i−2i2i−2i2-2-221-111-1-1122-2-222-2-2−i−iii−i−iii2i−2i2i−2i-11−ii−ii1-1-1-111-1-111−i−iii−i−iii000000003−33−3−i3i3−i3i33−33−3−i3i3−i3i3000000000000000000000000
χ5422-2-2-22-22-12i−2i2i−2i2i−2i2i−2i2-2-221-111-1-1122-2-222-2-2−i−iii−i−iii2i−2i2i−2i-11−ii−ii1-1-1-111-1-111−i−iii−i−iii00000000−33−33i3−i3i3−i3−33−33i3−i3i3−i3000000000000000000000000
χ5522-2-2-22-22-12i−2i2i−2i2i−2i2i−2i2-2-221-111-1-11-2-222-2-222−i−iii−i−iii−2i2i−2i2i-11−ii−ii1-111-1-111-1-1ii−i−iii−i−i000000003−33−3−i3i3−i3i3−33−33i3−i3i3−i3000000000000000000000000
χ5622-2-2-22-22-12i−2i2i−2i2i−2i2i−2i2-2-221-111-1-11-2-222-2-222−i−iii−i−iii−2i2i−2i2i-11−ii−ii1-111-1-111-1-1ii−i−iii−i−i00000000−33−33i3−i3i3−i33−33−3−i3i3−i3i3000000000000000000000000
χ5722-2-2-22-22-1−2i2i−2i2i−2i2i−2i2i2-2-221-111-1-1122-2-222-2-2ii−i−iii−i−i−2i2i−2i2i-11i−ii−i1-1-1-111-1-111ii−i−iii−i−i000000003−33−3i3−i3i3−i33−33−3i3−i3i3−i3000000000000000000000000
χ5822-2-2-22-22-1−2i2i−2i2i−2i2i−2i2i2-2-221-111-1-1122-2-222-2-2ii−i−iii−i−i−2i2i−2i2i-11i−ii−i1-1-1-111-1-111ii−i−iii−i−i00000000−33−33−i3i3−i3i3−33−33−i3i3−i3i3000000000000000000000000
χ5922-2-2-22-22-1−2i2i−2i2i−2i2i−2i2i2-2-221-111-1-11-2-222-2-222ii−i−iii−i−i2i−2i2i−2i-11i−ii−i1-111-1-111-1-1−i−iii−i−iii000000003−33−3i3−i3i3−i3−33−33−i3i3−i3i3000000000000000000000000
χ6022-2-2-22-22-1−2i2i−2i2i−2i2i−2i2i2-2-221-111-1-11-2-222-2-222ii−i−iii−i−i2i−2i2i−2i-11i−ii−i1-111-1-111-1-1−i−iii−i−iii00000000−33−33−i3i3−i3i33−33−3i3−i3i3−i3000000000000000000000000
χ612-222-2-2-2222i2i−2i−2i−2i−2i2i2i-22-222-2-22-22-200000000−2i−2i−2i−2i2i2i2i2i0000-222i2i−2i−2i-2200000000000000000000000000000000000000002-2−2i2i2i−2i-220000000000000000
χ622-222-2-2-2222i2i−2i−2i−2i−2i2i2i-22-222-2-22-22-200000000−2i−2i−2i−2i2i2i2i2i0000-222i2i−2i−2i-220000000000000000000000000000000000000000-222i−2i−2i2i2-20000000000000000
χ632-222-2-2-222−2i−2i2i2i2i2i−2i−2i-22-222-2-22-22-2000000002i2i2i2i−2i−2i−2i−2i0000-22−2i−2i2i2i-2200000000000000000000000000000000000000002-22i−2i−2i2i-220000000000000000
χ642-222-2-2-222−2i−2i2i2i2i2i−2i−2i-22-222-2-22-22-2000000002i2i2i2i−2i−2i−2i−2i0000-22−2i−2i2i2i-220000000000000000000000000000000000000000-22−2i2i2i−2i2-20000000000000000
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Here i is the imaginary unit (i² = −1).