Finite Group Databasebeta

← Group #72341614

Character table — Group #72341614

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111111122224444666666666666666666666666121212121212121212121212121212121212121212121212121212122424242424242424323232323232323248484848484848484848484848484848484848484848484848484848646464646464646464646464
order122244442244888822222222222244444444444422224444888888888888888888882222444436661212121244444444444488888888888888886612122424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ3111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ511111111-1-1-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ711111111-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ91111-1-1-1-111-1-1i−ii−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiii−i−i−i−i−iiiiii−i−i−i−i−i1111-1-1-1-11111-1-1-1-1111-1-1-1111-1-1-1i−ii−iiii−i−i−iiii−i−i−i11-1-1ii−i−iii−i−i
χ101111-1-1-1-111-1-1i−ii−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiii−i−i−i−i−iiiiii−i−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-1111−ii−ii−i−i−iiii−i−i−iiii11-1-1ii−i−iii−i−i
χ111111-1-1-1-111-1-1−ii−ii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−iiiiii−i−i−i−i−iiiiii1111-1-1-1-11111-1-1-1-1111-1-1-1111-1-1-1−ii−ii−i−i−iiii−i−i−iiii11-1-1−i−iii−i−iii
χ121111-1-1-1-111-1-1−ii−ii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−iiiiii−i−i−i−i−iiiiii-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-1111i−ii−iiii−i−i−iiii−i−i−i11-1-1−i−iii−i−iii
χ131111-1-1-1-1-1-111i−i−ii111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-11111-1-1iiiii−i−i−i−i−i−i−i−i−i−iiiiii11-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1111i−i−iiiii−i−i−i−i−i−iiii-1-111ii−i−i−i−iii
χ141111-1-1-1-1-1-111i−i−ii111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-11111-1-1iiiii−i−i−i−i−i−i−i−i−i−iiiiii-1-11111-1-11111-1-1-1-1-1-1-1111111-1-1-1−iii−i−i−i−iiiiiii−i−i−i-1-111ii−i−i−i−iii
χ151111-1-1-1-1-1-111−iii−i111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-11111-1-1−i−i−i−i−iiiiiiiiiii−i−i−i−i−i11-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1111−iii−i−i−i−iiiiiii−i−i−i-1-111−i−iiiii−i−i
χ161111-1-1-1-1-1-111−iii−i111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-11111-1-1−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-1-11111-1-11111-1-1-1-1-1-1-1111111-1-1-1i−i−iiiii−i−i−i−i−i−iiii-1-111−i−iiiii−i−i
χ172222222222222222222222222222222222222222222222222222222222222222222200000000-1-1-1-1-1-1-1-10000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1
χ18222222222222-2-2-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-10000000000000000000000000000-1-1-1-111111111
χ1922222222-2-2-2-222-2-2222-2-2-2-2-2-2222222-2-2-2-2-2-222222-2-222-2-22222222222-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-100000000000000000000000000001111-1-1-1-11111
χ2022222222-2-2-2-2-2-222222-2-2-2-2-2-2222222-2-2-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222222200000000-1-1-1-1-1-1-1-1000000000000000000000000000011111111-1-1-1-1
χ212222-2-2-2-222-2-22i−2i2i−2i222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222i2i2i2i2i−2i−2i−2i−2i−2i2i2i2i2i2i−2i−2i−2i−2i−2i00000000-1-1-1-111110000000000000000000000000000-1-111−i−iii−i−iii
χ222222-2-2-2-222-2-2−2i2i−2i2i222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−2i−2i−2i−2i−2i2i2i2i2i2i−2i−2i−2i−2i−2i2i2i2i2i2i00000000-1-1-1-111110000000000000000000000000000-1-111ii−i−iii−i−i
χ232222-2-2-2-2-2-2222i−2i−2i2i222-2-2-2-2-2-2222-2-2-2222222-2-2-2-2-22222-2-22i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i00000000-1-1-1-11111000000000000000000000000000011-1-1−i−iiiii−i−i
χ242222-2-2-2-2-2-222−2i2i2i−2i222-2-2-2-2-2-2222-2-2-2222222-2-2-2-2-22222-2-2−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i00000000-1-1-1-11111000000000000000000000000000011-1-1ii−i−i−i−iii
χ252-2-2222-2-22-22-20000-2-2-2222-2-2-2222-2-2-2222-2-2-22222-22-22-22-200000000000000000000000000002-2-2222-2-200000000000000000000000000002-22-200000000
χ262-2-2222-2-22-22-20000-2-2-2222-2-2-2222-2-2-2222-2-2-22222-22-22-22-20000000000000000000000000000-111-1-1-1110000000000000000000000000000-11-113−33−33−33−3
χ272-2-2222-2-22-22-20000-2-2-2222-2-2-2222-2-2-2222-2-2-22222-22-22-22-20000000000000000000000000000-111-1-1-1110000000000000000000000000000-11-11−33−33−33−33
χ282-2-2222-2-2-22-220000-2-2-2-2-2-2222222-2-2-2-2-2-22222222-2-222-2-2200000000000000000000000000002-2-2222-2-20000000000000000000000000000-22-2200000000
χ292-2-2222-2-2-22-220000-2-2-2-2-2-2222222-2-2-2-2-2-22222222-2-222-2-220000000000000000000000000000-111-1-1-11100000000000000000000000000001-11-13−33−3−33−33
χ302-2-2222-2-2-22-220000-2-2-2-2-2-2222222-2-2-2-2-2-22222222-2-222-2-220000000000000000000000000000-111-1-1-11100000000000000000000000000001-11-1−33−333−33−3
χ312-2-22-2-2222-2-220000-2-2-2222-2-2-2222222-2-2-2222-2-2-2-22-222-22-200000000000000000000000000002-2-22-2-22200000000000000000000000000002-2-2200000000
χ322-2-22-2-2222-2-220000-2-2-2222-2-2-2222222-2-2-2222-2-2-2-22-222-22-20000000000000000000000000000-111-111-1-10000000000000000000000000000-111-1−i3i3i3−i3−i3i3i3−i3
χ332-2-22-2-2222-2-220000-2-2-2222-2-2-2222222-2-2-2222-2-2-2-22-222-22-20000000000000000000000000000-111-111-1-10000000000000000000000000000-111-1i3−i3−i3i3i3−i3−i3i3
χ342-2-22-2-222-222-20000-2-2-2-2-2-2222222222222-2-2-2-2-2-2-222-22-2-2200000000000000000000000000002-2-22-2-2220000000000000000000000000000-222-200000000
χ352-2-22-2-222-222-20000-2-2-2-2-2-2222222222222-2-2-2-2-2-2-222-22-2-220000000000000000000000000000-111-111-1-100000000000000000000000000001-1-11−i3i3i3−i3i3−i3−i3i3
χ362-2-22-2-222-222-20000-2-2-2-2-2-2222222222222-2-2-2-2-2-2-222-22-2-220000000000000000000000000000-111-111-1-100000000000000000000000000001-1-11i3−i3−i3i3−i3i3i3−i3
χ3733333333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-111111111000000001-1-11-1-11-1-11-1-111111-1-11-1-11-1-11-1-1000000000000
χ3833333333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-100000000-111-111-111-111-1-1-1-1-111-111-111-111000000000000
χ393333333333333333-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-11111111100000000-11-1-11-1-11-1-11-11111-11-1-11-1-11-1-11-1000000000000
χ403333333333333333-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1000000001-111-111-111-11-1-1-1-11-111-111-111-11000000000000
χ413333333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-11111111100000000-1-11-1-11-1-11-1-111111-1-11-1-11-1-11-1-11000000000000
χ423333333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-1-1-1-1-1-1-10000000011-111-111-111-1-1-1-1-111-111-111-111-1000000000000
χ43333333333333-3-3-3-33-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-31111-31111-31111-3111111111111000000001-1-11-1-11-1-11-1-1-1-1-1-1-111-111-111-111000000000000
χ44333333333333-3-3-3-33-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-31111-31111-31111-31111-1-1-1-1-1-1-1-100000000-111-111-111-11111111-1-11-1-11-1-11-1-1000000000000
χ45333333333333-3-3-3-3-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-11-31111-31111-31111-31111111111100000000-11-1-11-1-11-1-11-1-1-1-1-11-111-111-111-11000000000000
χ46333333333333-3-3-3-3-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-11-31111-31111-31111-3111-1-1-1-1-1-1-1-1000000001-111-111-111-111111-11-1-11-1-11-1-11-1000000000000
χ47333333333333-3-3-3-3-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-111-31111-31111-31111-3111111111100000000-1-11-1-11-1-11-1-11-1-1-1-111-111-111-111-1000000000000
χ48333333333333-3-3-3-3-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-111-31111-31111-31111-311-1-1-1-1-1-1-1-10000000011-111-111-111-11111-1-11-1-11-1-11-1-11000000000000
χ4933333333-3-3-3-333-3-33-1-1-311-3113-1-13-1-1-311-3113-1-1-1-111-1-1113-1-1-1-13-1-1-1-1-31111-3111111-1-111-1-1000000001-1-11-1-1-111-11111-1-11-1-11-1-1-111-111000000000000
χ5033333333-3-3-3-333-3-33-1-1-311-3113-1-13-1-1-311-3113-1-1-1-111-1-1113-1-1-1-13-1-1-1-1-31111-31111-1-111-1-11100000000-111-1111-1-11-1-1-1-111-111-1111-1-11-1-1000000000000
χ5133333333-3-3-3-333-3-3-13-11-311-31-13-1-13-11-311-31-13-1-1-111-1-111-13-1-1-1-13-1-1-11-31111-311111-1-111-1-100000000-11-1-11-11-111-1111-1-1-11-1-11-11-111-11000000000000
χ5233333333-3-3-3-333-3-3-13-11-311-31-13-1-13-11-311-31-13-1-1-111-1-111-13-1-1-1-13-1-1-11-31111-3111-1-111-1-111000000001-111-11-11-1-11-1-1-1111-111-11-11-1-11-1000000000000
χ5333333333-3-3-3-333-3-3-1-1311-311-3-1-13-1-1311-311-3-1-13-1-111-1-111-1-13-1-1-1-13-1-111-31111-31111-1-111-1-100000000-1-11-1-1111-111-111-1-1-1-11-1-1111-111-1000000000000
χ5433333333-3-3-3-333-3-3-1-1311-311-3-1-13-1-1311-311-3-1-13-1-111-1-111-1-13-1-1-1-13-1-111-31111-311-1-111-1-1110000000011-111-1-1-11-1-11-1-11111-111-1-1-11-1-11000000000000
χ5533333333-3-3-3-3-3-3333-1-1-311-3113-1-13-1-1-311-3113-1-1-1-111-1-111-31111-311113-1-1-1-13-1-1-1-111-1-111-1-1000000001-1-11-1-1-111-111-1-111-111-1111-1-11-1-1000000000000
χ5633333333-3-3-3-3-3-3333-1-1-311-3113-1-13-1-1-311-3113-1-1-1-111-1-111-31111-311113-1-1-1-13-1-1-1-1-1-111-1-11100000000-111-1111-1-11-1-111-1-11-1-11-1-1-111-111000000000000
χ5733333333-3-3-3-3-3-333-13-11-311-31-13-1-13-11-311-31-13-1-1-111-1-1111-31111-3111-13-1-1-1-13-1-1-111-1-111-1-100000000-11-1-11-11-111-11-1-1111-111-11-11-1-11-1000000000000
χ5833333333-3-3-3-3-3-333-13-11-311-31-13-1-13-11-311-31-13-1-1-111-1-1111-31111-3111-13-1-1-1-13-1-1-1-1-111-1-111000000001-111-11-11-1-11-111-1-1-11-1-11-11-111-11000000000000
χ5933333333-3-3-3-3-3-333-1-1311-311-3-1-13-1-1311-311-3-1-13-1-111-1-11111-31111-311-1-13-1-1-1-13-1-111-1-111-1-100000000-1-11-1-1111-111-1-1-11111-111-1-1-11-1-11000000000000
χ6033333333-3-3-3-3-3-333-1-1311-311-3-1-13-1-1311-311-3-1-13-1-111-1-11111-31111-311-1-13-1-1-1-13-1-1-1-111-1-1110000000011-111-1-1-11-1-1111-1-1-1-11-1-1111-111-1000000000000
χ613333-3-3-3-333-3-33i−3i3i−3i3-1-13-1-13-1-13-1-1-311-311-311-3111111-1-1-1-13i−i−i−i−i−3iiiii3i−i−i−i−i−3iiiii1111-1-1-1-1000000001-1-1-1111-1-1-111i−ii−ii−i−i−iiii−i−i−iii000000000000
χ623333-3-3-3-333-3-33i−3i3i−3i3-1-13-1-13-1-13-1-1-311-311-311-3111111-1-1-1-13i−i−i−i−i−3iiiii3i−i−i−i−i−3iiiii-1-1-1-1111100000000-1111-1-1-1111-1-1−ii−ii−iiii−i−i−iiii−i−i000000000000
χ633333-3-3-3-333-3-33i−3i3i−3i-13-1-13-1-13-1-13-11-311-311-311-311111-1-1-1-1−i3i−i−i−ii−3iiii−i3i−i−i−ii−3iiii1111-1-1-1-100000000-11-11-11-11-11-11i−ii−i−ii−ii−ii−ii−ii−ii000000000000
χ643333-3-3-3-333-3-33i−3i3i−3i-13-1-13-1-13-1-13-11-311-311-311-311111-1-1-1-1−i3i−i−i−ii−3iiii−i3i−i−i−ii−3iiii-1-1-1-11111000000001-11-11-11-11-11-1−ii−iii−ii−ii−ii−ii−ii−i000000000000
χ653333-3-3-3-333-3-33i−3i3i−3i-1-13-1-13-1-13-1-1311-311-311-311-31111-1-1-1-1−i−i3i−i−iii−3iii−i−i3i−i−iii−3iii1111-1-1-1-100000000-1-1111-1-1-1111-1i−ii−i−i−iiii−i−i−iiii−i000000000000
χ663333-3-3-3-333-3-33i−3i3i−3i-1-13-1-13-1-13-1-1311-311-311-311-31111-1-1-1-1−i−i3i−i−iii−3iii−i−i3i−i−iii−3iii-1-1-1-111110000000011-1-1-1111-1-1-11−ii−iiii−i−i−iiii−i−i−ii000000000000
χ673333-3-3-3-333-3-3−3i3i−3i3i3-1-13-1-13-1-13-1-1-311-311-311-3111111-1-1-1-1−3iiiii3i−i−i−i−i−3iiiii3i−i−i−i−i1111-1-1-1-1000000001-1-1-1111-1-1-111−ii−ii−iiii−i−i−iiii−i−i000000000000
χ683333-3-3-3-333-3-3−3i3i−3i3i3-1-13-1-13-1-13-1-1-311-311-311-3111111-1-1-1-1−3iiiii3i−i−i−i−i−3iiiii3i−i−i−i−i-1-1-1-1111100000000-1111-1-1-1111-1-1i−ii−ii−i−i−iiii−i−i−iii000000000000
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χ783333-3-3-3-3-3-3333i−3i−3i3i-1-1311-311-3-1-1311-3-1-13-1-1311-311-1-1-1-111−i−i3i−i−iii−3iiiii−3iii−i−i3i−i−i-1-11111-1-10000000011-1-1-11-1-1111-1−iii−iii−i−i−ii−i−iiii−i000000000000
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χ916666-6-6-6-6-6-6666i−6i−6i6i-2-2-2222222-2-2-2222-2-2-2-2-2-2222-2-22222-2-2−2i−2i−2i2i2i2i2i2i−2i−2i2i2i2i−2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
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χ946-6-6666-6-66-66-60000222-2-2-2222-2-2-2222-2-2-2222-2-2-22-22-22-22-2000−4i4i000−4i4i000−4i4i000−4i4i00000000000000000000000000000000000000000000000000000000
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χ11588-8-8−8i8i−8i8i000000000000000000000000000000000000000000000000000000000000004-400−4i4i22-2-2−2i2i−2i2i0000000000000000000000000000000000000000
χ11688-8-8−8i8i−8i8i00000000000000000000000000000000000000000000000000000000000000-44004i−4i22-2-2−2i2i−2i2i0000000000000000000000000000000000000000
χ1178-88-88i−8i−8i8i0000000000000000000000000000000000000000000000000000000000004-4004i−4i002-22-22i−2i−2i2i0000000000000000000000000000000000000000
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χ1198-88-8−8i8i8i−8i0000000000000000000000000000000000000000000000000000000000004-400−4i4i002-22-2−2i2i2i−2i0000000000000000000000000000000000000000
χ1208-88-8−8i8i8i−8i000000000000000000000000000000000000000000000000000000000000-44004i−4i002-22-2−2i2i2i−2i0000000000000000000000000000000000000000
χ1211616-16-1616i−16i16i−16i00000000000000000000000000000000000000000000000000000000000000000000-2-222−2i2i−2i2i0000000000000000000000000000000000000000
χ1221616-16-16−16i16i−16i16i00000000000000000000000000000000000000000000000000000000000000000000-2-2222i−2i2i−2i0000000000000000000000000000000000000000
χ12316-1616-1616i−16i−16i16i00000000000000000000000000000000000000000000000000000000000000000000-22-22−2i2i2i−2i0000000000000000000000000000000000000000
χ12416-1616-16−16i16i16i−16i00000000000000000000000000000000000000000000000000000000000000000000-22-222i−2i−2i2i0000000000000000000000000000000000000000

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