Finite Group Databasebeta

← Group #72341790

Character table — Group #72341790

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size111122222244446666666666666666666666661212121212121212121212121212121212121212121212121212121232323232323232324848484848484848484848484848484848484848484848484848484848484848646464646464646464646464
order12224444448888222222444444444444444444224444448888888888888888888836661212121222224444444444444444444444444444121212122424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ31111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ51111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ71111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ911-1-1ii−i−i1-11-1i−i111-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i1-11-1ii−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i11-1-111-1-11-11-1i−ii−i111-1-1-1iii−i−i−i111-1-1-1iii−i−i−iii−i−i11-1-1ii−i−i
χ1011-1-1ii−i−i1-11-1i−i111-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i1-11-1ii−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i11-1-111-1-1-11-11−ii−ii-1-1-1111−i−i−iiii-1-1-1111−i−i−iiiiii−i−i11-1-1ii−i−i
χ1111-1-1ii−i−i1-1-11−ii111-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i1-11-1ii−i−i-1-1-1-1-111111−i−i−i−i−iiiiii11-1-111-1-11-1-11i−i−ii111-1-1-1iii−i−i−i-1-1-1111−i−i−iiiiii−i−i-1-111−i−iii
χ1211-1-1ii−i−i1-1-11−ii111-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i1-11-1ii−i−i-1-1-1-1-111111−i−i−i−i−iiiiii11-1-111-1-1-111-1−iii−i-1-1-1111−i−i−iiii111-1-1-1iii−i−i−iii−i−i-1-111−i−iii
χ1311-1-1−i−iii1-11-1−ii111-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii1-11-1−i−iii11111-1-1-1-1-1−i−i−i−i−iiiiii11-1-111-1-11-11-1−ii−ii111-1-1-1−i−i−iiii111-1-1-1−i−i−iiii−i−iii11-1-1−i−iii
χ1411-1-1−i−iii1-11-1−ii111-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii1-11-1−i−iii11111-1-1-1-1-1−i−i−i−i−iiiiii11-1-111-1-1-11-11i−ii−i-1-1-1111iii−i−i−i-1-1-1111iii−i−i−i−i−iii11-1-1−i−iii
χ1511-1-1−i−iii1-1-11i−i111-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii1-11-1−i−iii-1-1-1-1-111111iiiii−i−i−i−i−i11-1-111-1-11-1-11−iii−i111-1-1-1−i−i−iiii-1-1-1111iii−i−i−i−i−iii-1-111ii−i−i
χ1611-1-1−i−iii1-1-11i−i111-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii1-11-1−i−iii-1-1-1-1-111111iiiii−i−i−i−i−i11-1-111-1-1-111-1i−i−ii-1-1-1111iii−i−i−i111-1-1-1−i−i−iiii−i−iii-1-111ii−i−i
χ17222222222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-100000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1
χ182222222222-2-2-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000000000000000000000000000-1-1-1-111111111
χ1922222-22-2-2-20000222222-2-2-2-2-2-2222-2-2-2222-2-2-2-2-2222-22-2000000000000000000002222-2-2-2-2000000000000000000000000000000002-22-200000000
χ2022222-22-2-2-20000222222-2-2-2-2-2-2222-2-2-2222-2-2-2-2-2222-22-200000000000000000000-1-1-1-1111100000000000000000000000000000000-11-113−33−33−33−3
χ2122222-22-2-2-20000222222-2-2-2-2-2-2222-2-2-2222-2-2-2-2-2222-22-200000000000000000000-1-1-1-1111100000000000000000000000000000000-11-11−33−33−33−33
χ222222-22-22-2-20000222222-2-2-2-2-2-2-2-2-2222-2-2-2222-2-222-22-22000000000000000000002222-2-2-2-200000000000000000000000000000000-22-2200000000
χ232222-22-22-2-20000222222-2-2-2-2-2-2-2-2-2222-2-2-2222-2-222-22-2200000000000000000000-1-1-1-11111000000000000000000000000000000001-11-13−33−3−33−33
χ242222-22-22-2-20000222222-2-2-2-2-2-2-2-2-2222-2-2-2222-2-222-22-2200000000000000000000-1-1-1-11111000000000000000000000000000000001-11-1−33−333−33−3
χ252222-2-2-2-22222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000000000000000000000000000001111-1-1-1-11111
χ262222-2-2-2-222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-1-1-1-1-1-1-1-10000000000000000000000000000000011111111-1-1-1-1
χ2722-2-22i2i−2i−2i2-22-22i−2i222-2-2-2222-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2-22-22i2i−2i−2i22222-2-2-2-2-22i2i2i2i2i−2i−2i−2i−2i−2i-1-111-1-11100000000000000000000000000000000−i−iii-1-111−i−iii
χ2822-2-22i2i−2i−2i2-2-22−2i2i222-2-2-2222-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2-22-22i2i−2i−2i-2-2-2-2-222222−2i−2i−2i−2i−2i2i2i2i2i2i-1-111-1-11100000000000000000000000000000000−i−iii11-1-1ii−i−i
χ2922-2-22i−2i−2i2i-220000222-2-2-2-2-2-22222i2i2i−2i−2i−2i−2i−2i−2i2i2i2i-222-22i−2i−2i2i0000000000000000000022-2-2-2-222000000000000000000000000000000002i−2i−2i2i00000000
χ3022-2-22i−2i−2i2i-220000222-2-2-2-2-2-22222i2i2i−2i−2i−2i−2i−2i−2i2i2i2i-222-22i−2i−2i2i00000000000000000000-1-11111-1-100000000000000000000000000000000−iii−i3−3−33i3−i3−i3i3
χ3122-2-22i−2i−2i2i-220000222-2-2-2-2-2-22222i2i2i−2i−2i−2i−2i−2i−2i2i2i2i-222-22i−2i−2i2i00000000000000000000-1-11111-1-100000000000000000000000000000000−iii−i−333−3−i3i3i3−i3
χ3222-2-2−2i2i2i−2i-220000222-2-2-2-2-2-2222−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i-222-2−2i2i2i−2i0000000000000000000022-2-2-2-22200000000000000000000000000000000−2i2i2i−2i00000000
χ3322-2-2−2i2i2i−2i-220000222-2-2-2-2-2-2222−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i-222-2−2i2i2i−2i00000000000000000000-1-11111-1-100000000000000000000000000000000i−i−ii3−3−33−i3i3i3−i3
χ3422-2-2−2i2i2i−2i-220000222-2-2-2-2-2-2222−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i-222-2−2i2i2i−2i00000000000000000000-1-11111-1-100000000000000000000000000000000i−i−ii−333−3i3−i3−i3i3
χ3522-2-2−2i−2i2i2i2-22-2−2i2i222-2-2-2222-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2-22-2−2i−2i2i2i22222-2-2-2-2-2−2i−2i−2i−2i−2i2i2i2i2i2i-1-111-1-11100000000000000000000000000000000ii−i−i-1-111ii−i−i
χ3622-2-2−2i−2i2i2i2-2-222i−2i222-2-2-2222-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2-22-2−2i−2i2i2i-2-2-2-2-2222222i2i2i2i2i−2i−2i−2i−2i−2i-1-111-1-11100000000000000000000000000000000ii−i−i11-1-1−i−iii
χ37333333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-100000000111111111-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-1000000000000
χ38333333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-100000000-1-1-1-1-1-1-1-1-111-111-111-111-111-111-111-111000000000000
χ3933333333333333-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-10000000011111111-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1000000000000
χ4033333333333333-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-100000000-1-1-1-1-1-1-1-11-111-111-111-111-111-111-111-11000000000000
χ4133333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-10000000011111111-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11000000000000
χ4233333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-100000000-1-1-1-1-1-1-1-111-111-111-111-111-111-111-111-1000000000000
χ433333333333-3-3-3-33-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-31111-31111-31111-311110000000011-1-111-1-11-1-11-1-11-1-11-1-1-111-111-111-111000000000000
χ443333333333-3-3-3-33-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-31111-31111-31111-3111100000000-1-111-1-111-111-111-111-1111-1-11-1-11-1-11-1-1000000000000
χ453333333333-3-3-3-3-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-11-31111-31111-31111-31110000000011-1-111-1-1-11-1-11-1-11-1-11-11-111-111-111-11000000000000
χ463333333333-3-3-3-3-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-11-31111-31111-31111-311100000000-1-111-1-1111-111-111-111-11-11-1-11-1-11-1-11-1000000000000
χ473333333333-3-3-3-3-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-111-31111-31111-31111-3110000000011-1-111-1-1-1-11-1-11-1-11-1-1111-111-111-111-1000000000000
χ483333333333-3-3-3-3-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-111-31111-31111-31111-31100000000-1-111-1-11111-111-111-111-1-1-11-1-11-1-11-1-11000000000000
χ493333-3-3-3-33333-3-33-1-13-1-13-1-13-1-1-311-311-311-311-1-1-1-111113-1-1-1-13-1-1-1-1-31111-31111000000001111-1-1-1-11-1-11-1-1-111-1111-1-11-1-1-111-111000000000000
χ503333-3-3-3-33333-3-33-1-13-1-13-1-13-1-1-311-311-311-311-1-1-1-111113-1-1-1-13-1-1-1-1-31111-3111100000000-1-1-1-11111-111-1111-1-11-1-1-111-1111-1-11-1-1000000000000
χ513333-3-3-3-33333-3-3-13-1-13-1-13-1-13-11-311-311-311-31-1-1-1-11111-13-1-1-1-13-1-1-11-31111-3111000000001111-1-1-1-1-11-1-11-11-111-11-11-1-11-11-111-11000000000000
χ523333-3-3-3-33333-3-3-13-1-13-1-13-1-13-11-311-311-311-31-1-1-1-11111-13-1-1-1-13-1-1-11-31111-311100000000-1-1-1-111111-111-11-11-1-11-11-111-11-11-1-11-1000000000000
χ533333-3-3-3-33333-3-3-1-13-1-13-1-13-1-1311-311-311-311-3-1-1-1-11111-1-13-1-1-1-13-1-111-31111-311000000001111-1-1-1-1-1-11-1-1111-111-1-1-11-1-1111-111-1000000000000
χ543333-3-3-3-33333-3-3-1-13-1-13-1-13-1-1311-311-311-311-3-1-1-1-11111-1-13-1-1-1-13-1-111-31111-31100000000-1-1-1-1111111-111-1-1-11-1-1111-111-1-1-11-1-11000000000000
χ553333-3-3-3-333-3-3333-1-13-1-13-1-13-1-1-311-311-311-311-1-1-1-11111-31111-311113-1-1-1-13-1-1-1-10000000011-1-1-1-1111-1-11-1-1-111-111-111-1111-1-11-1-1000000000000
χ563333-3-3-3-333-3-3333-1-13-1-13-1-13-1-1-311-311-311-311-1-1-1-11111-31111-311113-1-1-1-13-1-1-1-100000000-1-11111-1-1-111-1111-1-11-1-11-1-11-1-1-111-111000000000000
χ573333-3-3-3-333-3-333-13-1-13-1-13-1-13-11-311-311-311-31-1-1-1-111111-31111-3111-13-1-1-1-13-1-1-10000000011-1-1-1-111-11-1-11-11-111-111-111-11-11-1-11-1000000000000
χ583333-3-3-3-333-3-333-13-1-13-1-13-1-13-11-311-311-311-31-1-1-1-111111-31111-3111-13-1-1-1-13-1-1-100000000-1-11111-1-11-111-11-11-1-11-1-11-1-11-11-111-11000000000000
χ593333-3-3-3-333-3-333-1-13-1-13-1-13-1-1311-311-311-311-3-1-1-1-1111111-31111-311-1-13-1-1-1-13-1-10000000011-1-1-1-111-1-11-1-1111-111-111-111-1-1-11-1-11000000000000
χ603333-3-3-3-333-3-333-1-13-1-13-1-13-1-1311-311-311-311-3-1-1-1-1111111-31111-311-1-13-1-1-1-13-1-100000000-1-11111-1-111-111-1-1-11-1-11-1-11-1-1111-111-1000000000000
χ6133-3-33i3i−3i−3i3-33-33i−3i3-1-1-3113-1-1-3113i−i−i3i−i−i−3iii−3iii-11-11−i−iii3-1-1-1-1-311113i−i−i−i−i−3iiiii000000001-11-1i−ii−i1-1-1-111i−i−i−iii1-1-1-111i−i−i−iii000000000000
χ6233-3-33i3i−3i−3i3-33-33i−3i3-1-1-3113-1-1-3113i−i−i3i−i−i−3iii−3iii-11-11−i−iii3-1-1-1-1-311113i−i−i−i−i−3iiiii00000000-11-11−ii−ii-1111-1-1−iiii−i−i-1111-1-1−iiii−i−i000000000000
χ6333-3-33i3i−3i−3i3-33-33i−3i-13-11-31-13-11-31−i3i−i−i3i−ii−3iii−3ii-11-11−i−iii-13-1-1-11-3111−i3i−i−i−ii−3iiii000000001-11-1i−ii−i-11-11-11−ii−ii−ii-11-11-11−ii−ii−ii000000000000
χ6433-3-33i3i−3i−3i3-33-33i−3i-13-11-31-13-11-31−i3i−i−i3i−ii−3iii−3ii-11-11−i−iii-13-1-1-11-3111−i3i−i−i−ii−3iiii00000000-11-11−ii−ii1-11-11-1i−ii−ii−i1-11-11-1i−ii−ii−i000000000000
χ6533-3-33i3i−3i−3i3-33-33i−3i-1-1311-3-1-1311-3−i−i3i−i−i3iii−3iii−3i-11-11−i−iii-1-13-1-111-311−i−i3i−i−iii−3iii000000001-11-1i−ii−i-1-1111-1−i−iiii−i-1-1111-1−i−iiii−i000000000000
χ6633-3-33i3i−3i−3i3-33-33i−3i-1-1311-3-1-1311-3−i−i3i−i−i3iii−3iii−3i-11-11−i−iii-1-13-1-111-311−i−i3i−i−iii−3iii00000000-11-11−ii−ii11-1-1-11ii−i−i−ii11-1-1-11ii−i−i−ii000000000000
χ6733-3-33i3i−3i−3i3-3-33−3i3i3-1-1-3113-1-1-3113i−i−i3i−i−i−3iii−3iii-11-11−i−iii-311113-1-1-1-1−3iiiii3i−i−i−i−i000000001-1-11i−i−ii1-1-1-111i−i−i−iii-1111-1-1−iiii−i−i000000000000
χ6833-3-33i3i−3i−3i3-3-33−3i3i3-1-1-3113-1-1-3113i−i−i3i−i−i−3iii−3iii-11-11−i−iii-311113-1-1-1-1−3iiiii3i−i−i−i−i00000000-111-1−iii−i-1111-1-1−iiii−i−i1-1-1-111i−i−i−iii000000000000
χ6933-3-33i3i−3i−3i3-3-33−3i3i-13-11-31-13-11-31−i3i−i−i3i−ii−3iii−3ii-11-11−i−iii1-3111-13-1-1-1i−3iiii−i3i−i−i−i000000001-1-11i−i−ii-11-11-11−ii−ii−ii1-11-11-1i−ii−ii−i000000000000
χ7033-3-33i3i−3i−3i3-3-33−3i3i-13-11-31-13-11-31−i3i−i−i3i−ii−3iii−3ii-11-11−i−iii1-3111-13-1-1-1i−3iiii−i3i−i−i−i00000000-111-1−iii−i1-11-11-1i−ii−ii−i-11-11-11−ii−ii−ii000000000000
χ7133-3-33i3i−3i−3i3-3-33−3i3i-1-1311-3-1-1311-3−i−i3i−i−i3iii−3iii−3i-11-11−i−iii11-311-1-13-1-1ii−3iii−i−i3i−i−i000000001-1-11i−i−ii-1-1111-1−i−iiii−i11-1-1-11ii−i−i−ii000000000000
χ7233-3-33i3i−3i−3i3-3-33−3i3i-1-1311-3-1-1311-3−i−i3i−i−i3iii−3iii−3i-11-11−i−iii11-311-1-13-1-1ii−3iii−i−i3i−i−i00000000-111-1−iii−i11-1-1-11ii−i−i−ii-1-1111-1−i−iiii−i000000000000
χ7333-3-3−3i−3i3i3i3-33-3−3i3i3-1-1-3113-1-1-311−3iii−3iii3i−i−i3i−i−i-11-11ii−i−i3-1-1-1-1-31111−3iiiii3i−i−i−i−i000000001-11-1−ii−ii1-1-1-111−iiii−i−i1-1-1-111−iiii−i−i000000000000
χ7433-3-3−3i−3i3i3i3-33-3−3i3i3-1-1-3113-1-1-311−3iii−3iii3i−i−i3i−i−i-11-11ii−i−i3-1-1-1-1-31111−3iiiii3i−i−i−i−i00000000-11-11i−ii−i-1111-1-1i−i−i−iii-1111-1-1i−i−i−iii000000000000
χ7533-3-3−3i−3i3i3i3-33-3−3i3i-13-11-31-13-11-31i−3iii−3ii−i3i−i−i3i−i-11-11ii−i−i-13-1-1-11-3111i−3iiii−i3i−i−i−i000000001-11-1−ii−ii-11-11-11i−ii−ii−i-11-11-11i−ii−ii−i000000000000
χ7633-3-3−3i−3i3i3i3-33-3−3i3i-13-11-31-13-11-31i−3iii−3ii−i3i−i−i3i−i-11-11ii−i−i-13-1-1-11-3111i−3iiii−i3i−i−i−i00000000-11-11i−ii−i1-11-11-1−ii−ii−ii1-11-11-1−ii−ii−ii000000000000
χ7733-3-3−3i−3i3i3i3-33-3−3i3i-1-1311-3-1-1311-3ii−3iii−3i−i−i3i−i−i3i-11-11ii−i−i-1-13-1-111-311ii−3iii−i−i3i−i−i000000001-11-1−ii−ii-1-1111-1ii−i−i−ii-1-1111-1ii−i−i−ii000000000000
χ7833-3-3−3i−3i3i3i3-33-3−3i3i-1-1311-3-1-1311-3ii−3iii−3i−i−i3i−i−i3i-11-11ii−i−i-1-13-1-111-311ii−3iii−i−i3i−i−i00000000-11-11i−ii−i11-1-1-11−i−iiii−i11-1-1-11−i−iiii−i000000000000
χ7933-3-3−3i−3i3i3i3-3-333i−3i3-1-1-3113-1-1-311−3iii−3iii3i−i−i3i−i−i-11-11ii−i−i-311113-1-1-1-13i−i−i−i−i−3iiiii000000001-1-11−iii−i1-1-1-111−iiii−i−i-1111-1-1i−i−i−iii000000000000
χ8033-3-3−3i−3i3i3i3-3-333i−3i3-1-1-3113-1-1-311−3iii−3iii3i−i−i3i−i−i-11-11ii−i−i-311113-1-1-1-13i−i−i−i−i−3iiiii00000000-111-1i−i−ii-1111-1-1i−i−i−iii1-1-1-111−iiii−i−i000000000000
χ8133-3-3−3i−3i3i3i3-3-333i−3i-13-11-31-13-11-31i−3iii−3ii−i3i−i−i3i−i-11-11ii−i−i1-3111-13-1-1-1−i3i−i−i−ii−3iiii000000001-1-11−iii−i-11-11-11i−ii−ii−i1-11-11-1−ii−ii−ii000000000000
χ8233-3-3−3i−3i3i3i3-3-333i−3i-13-11-31-13-11-31i−3iii−3ii−i3i−i−i3i−i-11-11ii−i−i1-3111-13-1-1-1−i3i−i−i−ii−3iiii00000000-111-1i−i−ii1-11-11-1−ii−ii−ii-11-11-11i−ii−ii−i000000000000
χ8333-3-3−3i−3i3i3i3-3-333i−3i-1-1311-3-1-1311-3ii−3iii−3i−i−i3i−i−i3i-11-11ii−i−i11-311-1-13-1-1−i−i3i−i−iii−3iii000000001-1-11−iii−i-1-1111-1ii−i−i−ii11-1-1-11−i−iiii−i000000000000
χ8433-3-3−3i−3i3i3i3-3-333i−3i-1-1311-3-1-1311-3ii−3iii−3i−i−i3i−i−i3i-11-11ii−i−i11-311-1-13-1-1−i−i3i−i−iii−3iii00000000-111-1i−i−ii11-1-1-11−i−iiii−i-1-1111-1ii−i−i−ii000000000000
χ8566666666666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-222-2-2-222-2-2-222-2-2-2220000000000000000000000000000000000000000000000000000
χ866666666666-6-6-6-6-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222-2-2222-2-2222-2-2222-2-20000000000000000000000000000000000000000000000000000
χ8766666-66-6-6-600006-2-26-2-2-622-6226-2-2-6226-2-2-62222-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ8866666-66-6-6-60000-26-2-26-22-622-62-26-22-62-26-22-6222-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ8966666-66-6-6-60000-2-26-2-2622-622-6-2-2622-6-2-2622-622-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ9066666-66-6-6-60000-2-2-2-2-2-2222222-2-2-2222-2-2-2222-2-2222-22-20004i−4i0004i−4i0004i−4i0004i−4i0000000000000000000000000000000000000000000000000000
χ9166666-66-6-6-60000-2-2-2-2-2-2222222-2-2-2222-2-2-2222-2-2222-22-2000−4i4i000−4i4i000−4i4i000−4i4i0000000000000000000000000000000000000000000000000000
χ926666-66-66-6-600006-2-26-2-2-622-622-6226-2-2-6226-2-222-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ936666-66-66-6-60000-26-2-26-22-622-622-62-26-22-62-26-222-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ946666-66-66-6-60000-2-26-2-2622-622-622-6-2-2622-6-2-2622-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ956666-66-66-6-60000-2-2-2-2-2-2222222222-2-2-2222-2-2-2-2-222-22-220004i−4i0004i−4i000−4i4i000−4i4i0000000000000000000000000000000000000000000000000000
χ966666-66-66-6-60000-2-2-2-2-2-2222222222-2-2-2222-2-2-2-2-222-22-22000−4i4i000−4i4i0004i−4i0004i−4i0000000000000000000000000000000000000000000000000000
χ976666-6-6-6-66666-6-6-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-222-2-2-222222-2-2222-2-20000000000000000000000000000000000000000000000000000
χ986666-6-6-6-666-6-666-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2222-2-2222-2-2-2-2-222-2-2-2220000000000000000000000000000000000000000000000000000
χ9966-6-66i6i−6i−6i6-66-66i−6i-2-2-2222-2-2-2222−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2-22-22i2i−2i−2i-2-2-222222-2-2−2i−2i−2i2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ10066-6-66i6i−6i−6i6-6-66−6i6i-2-2-2222-2-2-2222−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2-22-22i2i−2i−2i222-2-2-2-2-2222i2i2i−2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ10166-6-66i−6i−6i6i-6600006-2-2-622-6226-2-26i−2i−2i−6i2i2i−6i2i2i6i−2i−2i2-2-22−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ10266-6-66i−6i−6i6i-660000-26-22-622-62-26-2−2i6i−2i2i−6i2i2i−6i2i−2i6i−2i2-2-22−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ10366-6-66i−6i−6i6i-660000-2-2622-622-6-2-26−2i−2i6i2i2i−6i2i2i−6i−2i−2i6i2-2-22−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ10466-6-66i−6i−6i6i-660000-2-2-2222222-2-2-2−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i-222-22i−2i−2i2i0004i−4i000−4i4i000-440004-40000000000000000000000000000000000000000000000000000
χ10566-6-66i−6i−6i6i-660000-2-2-2222222-2-2-2−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i-222-22i−2i−2i2i000−4i4i0004i−4i0004-4000-440000000000000000000000000000000000000000000000000000
χ10666-6-6−6i6i6i−6i-6600006-2-2-622-6226-2-2−6i2i2i6i−2i−2i6i−2i−2i−6i2i2i2-2-222i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ10766-6-6−6i6i6i−6i-660000-26-22-622-62-26-22i−6i2i−2i6i−2i−2i6i−2i2i−6i2i2-2-222i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ10866-6-6−6i6i6i−6i-660000-2-2622-622-6-2-262i2i−6i−2i−2i6i−2i−2i6i2i2i−6i2-2-222i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ10966-6-6−6i6i6i−6i-660000-2-2-2222222-2-2-22i2i2i−2i−2i−2i−2i−2i−2i2i2i2i-222-2−2i2i2i−2i0004i−4i000−4i4i0004-4000-440000000000000000000000000000000000000000000000000000
χ11066-6-6−6i6i6i−6i-660000-2-2-2222222-2-2-22i2i2i−2i−2i−2i−2i−2i−2i2i2i2i-222-2−2i2i2i−2i000−4i4i0004i−4i000-440004-40000000000000000000000000000000000000000000000000000
χ11166-6-6−6i−6i6i6i6-66-6−6i6i-2-2-2222-2-2-22222i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2-22-2−2i−2i2i2i-2-2-222222-2-22i2i2i−2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ11266-6-6−6i−6i6i6i6-6-666i−6i-2-2-2222-2-2-22222i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2-22-2−2i−2i2i2i222-2-2-2-2-222−2i−2i−2i2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ11316-1616-16000000000000000000000000000000000000000000000000000000000000004-44-4000000000000000000000000000000000000000000000000
χ11416-1616-1600000000000000000000000000000000000000000000000000000000000000-22-2223−2323−2300000000000000000000000000000000000000000000
χ11516-1616-1600000000000000000000000000000000000000000000000000000000000000-22-22−2323−232300000000000000000000000000000000000000000000
χ11616-16-1616000000000000000000000000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ11716-16-161600000000000000000000000000000000000000000000000000000000000000-222-223−23−232300000000000000000000000000000000000000000000
χ11816-16-161600000000000000000000000000000000000000000000000000000000000000-222-2−232323−2300000000000000000000000000000000000000000000

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