Finite Group Databasebeta

← Group #72341899

Character table — Group #72341899

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size111122222244446666666666666666666666661212121212121212121212121212121212121212121212121212121232323232323232324848484848484848484848484848484848484848484848484848484848484848646464646464646464646464
order12442488884488222222444444888888888888224444444444448888888888888836661212121222444444444444448888888888888888121212122424242424242424
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
χ31111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ5111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ7111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ911-1-1-11ii−i−ii−i1-1-1-1-1111111-1-1-1iiiiii−i−i−i−i−i−i1-11-1iiiii−i−i−i−i−iii−i−i11111-1-1-1-1-111-1-111-1-111-1-1111-1-1-1111-1-1-1i−ii−iiii−i−i−iiii−i−i−iii−i−iii−i−i11-1-1
χ1011-1-1-11ii−i−ii−i1-1-1-1-1111111-1-1-1iiiiii−i−i−i−i−i−i1-11-1iiiii−i−i−i−i−iii−i−i11111-1-1-1-1-111-1-111-1-1-1-111-1-1-1111-1-1-1111−ii−ii−i−i−iiii−i−i−iiiiii−i−iii−i−i11-1-1
χ1111-1-1-11ii−i−i−ii-11-1-1-1111111-1-1-1iiiiii−i−i−i−i−i−i1-11-1−i−i−i−i−iiiiiiii−i−i-1-1-1-1-11111111-1-111-1-11-1-11111-1-1-1-1-1-1111i−i−iiiii−i−i−i−i−i−iiii−i−iiiii−i−i-1-111
χ1211-1-1-11ii−i−i−ii-11-1-1-1111111-1-1-1iiiiii−i−i−i−i−i−i1-11-1−i−i−i−i−iiiiiiii−i−i-1-1-1-1-11111111-1-111-1-1-111-1-1-1-1111111-1-1-1−iii−i−i−i−iiiiiii−i−i−i−i−iiiii−i−i-1-111
χ1311-1-1-11−i−iiii−i-11-1-1-1111111-1-1-1−i−i−i−i−i−iiiiiii1-11-1iiiii−i−i−i−i−i−i−iii-1-1-1-1-11111111-1-111-1-11-1-11111-1-1-1-1-1-1111−iii−i−i−i−iiiiiii−i−i−iii−i−i−i−iii-1-111
χ1411-1-1-11−i−iiii−i-11-1-1-1111111-1-1-1−i−i−i−i−i−iiiiiii1-11-1iiiii−i−i−i−i−i−i−iii-1-1-1-1-11111111-1-111-1-1-111-1-1-1-1111111-1-1-1i−i−iiiii−i−i−i−i−i−iiiiii−i−i−i−iii-1-111
χ1511-1-1-11−i−iii−ii1-1-1-1-1111111-1-1-1−i−i−i−i−i−iiiiiii1-11-1−i−i−i−i−iiiiii−i−iii11111-1-1-1-1-111-1-111-1-111-1-1111-1-1-1111-1-1-1−ii−ii−i−i−iiii−i−i−iiii−i−iii−i−iii11-1-1
χ1611-1-1-11−i−iii−ii1-1-1-1-1111111-1-1-1−i−i−i−i−i−iiiiiii1-11-1−i−i−i−i−iiiiii−i−iii11111-1-1-1-1-111-1-111-1-1-1-111-1-1-1111-1-1-1111i−ii−iiii−i−i−iiii−i−i−i−i−iii−i−iii11-1-1
χ17222222222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-100000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1
χ182222222222-2-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000000000000000000000000000001111-1-1-1-11111
χ19222222-2-2-2-222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000000000000000000000000000-1-1-1-111111111
χ20222222-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-1-1-1-1-1-1-1-10000000000000000000000000000000011111111-1-1-1-1
χ212222-2-22-22-20000-2-2-2222-2-2-2222222-2-2-2222-2-2-2-222-200000000002-22-2000000000022-2-2-2-2220000000000000000000000000000000000002-22-20000
χ222222-2-22-22-20000-2-2-2222-2-2-2222222-2-2-2222-2-2-2-222-200000000002-22-20000000000-1-11111-1-1000000000000000000000000000000003−33−3-11-113−33−3
χ232222-2-22-22-20000-2-2-2222-2-2-2222222-2-2-2222-2-2-2-222-200000000002-22-20000000000-1-11111-1-100000000000000000000000000000000−33−33-11-11−33−33
χ242222-2-2-22-220000-2-2-2222-2-2-2222-2-2-2222-2-2-2222-222-20000000000-22-22000000000022-2-2-2-222000000000000000000000000000000000000-22-220000
χ252222-2-2-22-220000-2-2-2222-2-2-2222-2-2-2222-2-2-2222-222-20000000000-22-220000000000-1-11111-1-1000000000000000000000000000000003−33−31-11-1−33−33
χ262222-2-2-22-220000-2-2-2222-2-2-2222-2-2-2222-2-2-2222-222-20000000000-22-220000000000-1-11111-1-100000000000000000000000000000000−33−331-11-13−33−3
χ2722-2-22-22i−2i−2i2i0000222222-2-2-2-2-2-22i2i2i−2i−2i−2i−2i−2i−2i2i2i2i-2-22200000000002i−2i−2i2i00000000002222-2-2-2-20000000000000000000000000000000000002i−2i−2i2i0000
χ2822-2-22-22i−2i−2i2i0000222222-2-2-2-2-2-22i2i2i−2i−2i−2i−2i−2i−2i2i2i2i-2-22200000000002i−2i−2i2i0000000000-1-1-1-1111100000000000000000000000000000000−i3i3i3−i3−iii−i−333−3
χ2922-2-22-22i−2i−2i2i0000222222-2-2-2-2-2-22i2i2i−2i−2i−2i−2i−2i−2i2i2i2i-2-22200000000002i−2i−2i2i0000000000-1-1-1-1111100000000000000000000000000000000i3−i3−i3i3−iii−i3−3−33
χ3022-2-22-2−2i2i2i−2i0000222222-2-2-2-2-2-2−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i-2-2220000000000−2i2i2i−2i00000000002222-2-2-2-2000000000000000000000000000000000000−2i2i2i−2i0000
χ3122-2-22-2−2i2i2i−2i0000222222-2-2-2-2-2-2−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i-2-2220000000000−2i2i2i−2i0000000000-1-1-1-1111100000000000000000000000000000000−i3i3i3−i3i−i−ii3−3−33
χ3222-2-22-2−2i2i2i−2i0000222222-2-2-2-2-2-2−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i-2-2220000000000−2i2i2i−2i0000000000-1-1-1-1111100000000000000000000000000000000i3−i3−i3i3i−i−ii−333−3
χ3322-2-2-222i2i−2i−2i2i−2i2-2-2-2-2222222-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2-22-22i2i2i2i2i−2i−2i−2i−2i−2i2i2i−2i−2i22222-2-2-2-2-2-1-111-1-11100000000000000000000000000000000−i−iii−i−iii-1-111
χ3422-2-2-222i2i−2i−2i−2i2i-22-2-2-2222222-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2-22-2−2i−2i−2i−2i−2i2i2i2i2i2i2i2i−2i−2i-2-2-2-2-222222-1-111-1-11100000000000000000000000000000000ii−i−i−i−iii11-1-1
χ3522-2-2-22−2i−2i2i2i2i−2i-22-2-2-2222222-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2-22-22i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i2i2i-2-2-2-2-222222-1-111-1-11100000000000000000000000000000000−i−iiiii−i−i11-1-1
χ3622-2-2-22−2i−2i2i2i−2i2i2-2-2-2-2222222-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2-22-2−2i−2i−2i−2i−2i2i2i2i2i2i−2i−2i2i2i22222-2-2-2-2-2-1-111-1-11100000000000000000000000000000000ii−i−iii−i−i-1-111
χ37333333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-13-1-1-1-13-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-10000000011111-1-11-1-11-1-11-1-111111-1-11-1-11-1-11-1-1000000000000
χ38333333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-13-1-1-1-13-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1-100000000-1-1-1-1-111-111-111-111-1-1-1-1-111-111-111-111000000000000
χ3933333333333333-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-13-1-1-1-13-1-1-1-1-1-1-1-13-1-1-1-13-1-1-1000000001111-11-1-11-1-11-1-11-11111-11-1-11-1-11-1-11-1000000000000
χ4033333333333333-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-13-1-1-1-13-1-1-1-1-1-1-1-13-1-1-1-13-1-1-100000000-1-1-1-11-111-111-111-11-1-1-1-11-111-111-111-11000000000000
χ4133333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-13-1-1-1-13-1-1-1-1-1-1-1-13-1-1-1-13-1-1000000001111-1-11-1-11-1-11-1-111111-1-11-1-11-1-11-1-11000000000000
χ4233333333333333-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-13-1-1-1-13-1-1-1-1-1-1-1-13-1-1-1-13-1-100000000-1-1-1-111-111-111-111-1-1-1-1-111-111-111-111-1000000000000
χ433333333333-3-3-3-33-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-31111-31111-1-1-1-1-31111-31111000000001-11-11-1-11-1-1-111-11111-1-11-1-11-1-1-111-111000000000000
χ443333333333-3-3-3-33-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-31111-31111-1-1-1-1-31111-3111100000000-11-11-111-1111-1-11-1-1-1-111-111-1111-1-11-1-1000000000000
χ453333333333-3-3-3-3-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-11-31111-3111-1-1-1-11-31111-3111000000001-11-1-11-1-11-11-111-1111-1-1-11-1-11-11-111-11000000000000
χ463333333333-3-3-3-3-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-1-11-31111-3111-1-1-1-11-31111-311100000000-11-111-111-11-11-1-11-1-1-1111-111-11-11-1-11-1000000000000
χ473333333333-3-3-3-3-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-111-31111-311-1-1-1-111-31111-311000000001-11-1-1-11-1-1111-111-111-1-1-1-11-1-1111-111-1000000000000
χ483333333333-3-3-3-3-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-13-1-1-1-111-31111-311-1-1-1-111-31111-31100000000-11-1111-111-1-1-11-1-11-1-11111-111-1-1-11-1-11000000000000
χ49333333-3-3-3-333-3-33-1-13-1-13-1-13-1-1-311-311-311-311-1-1-1-13-1-1-1-13-1-1-1-11111-31111-31111000000001-11-11-1-11-1-1-111-111-1-111-111-1111-1-11-1-1000000000000
χ50333333-3-3-3-333-3-33-1-13-1-13-1-13-1-1-311-311-311-311-1-1-1-13-1-1-1-13-1-1-1-11111-31111-3111100000000-11-11-111-1111-1-11-1-111-1-11-1-11-1-1-111-111000000000000
χ51333333-3-3-3-333-3-3-13-1-13-1-13-1-13-11-311-311-311-31-1-1-1-1-13-1-1-1-13-1-1-111111-31111-3111000000001-11-1-11-1-11-11-111-11-1-1111-111-11-11-1-11-1000000000000
χ52333333-3-3-3-333-3-3-13-1-13-1-13-1-13-11-311-311-311-31-1-1-1-1-13-1-1-1-13-1-1-111111-31111-311100000000-11-111-111-11-11-1-11-111-1-1-11-1-11-11-111-11000000000000
χ53333333-3-3-3-333-3-3-1-13-1-13-1-13-1-1311-311-311-311-3-1-1-1-1-1-13-1-1-1-13-1-1111111-31111-311000000001-11-1-1-11-1-1111-111-1-1-11111-111-1-1-11-1-11000000000000
χ54333333-3-3-3-333-3-3-1-13-1-13-1-13-1-1311-311-311-311-3-1-1-1-1-1-13-1-1-1-13-1-1111111-31111-31100000000-11-1111-111-1-1-11-1-1111-1-1-1-11-1-1111-111-1000000000000
χ55333333-3-3-3-3-3-3333-1-13-1-13-1-13-1-1-311-311-311-311-1-1-1-1-31111-3111111113-1-1-1-13-1-1-1-10000000011111-1-11-1-11-1-11-1-1-1-1-1-1-111-111-111-111000000000000
χ56333333-3-3-3-3-3-3333-1-13-1-13-1-13-1-1-311-311-311-311-1-1-1-1-31111-3111111113-1-1-1-13-1-1-1-100000000-1-1-1-1-111-111-111-11111111-1-11-1-11-1-11-1-1000000000000
χ57333333-3-3-3-3-3-333-13-1-13-1-13-1-13-11-311-311-311-31-1-1-1-11-31111-31111111-13-1-1-1-13-1-1-1000000001111-11-1-11-1-11-1-11-1-1-1-1-11-111-111-111-11000000000000
χ58333333-3-3-3-3-3-333-13-1-13-1-13-1-13-11-311-311-311-31-1-1-1-11-31111-31111111-13-1-1-1-13-1-1-100000000-1-1-1-11-111-111-111-111111-11-1-11-1-11-1-11-1000000000000
χ59333333-3-3-3-3-3-333-1-13-1-13-1-13-1-1311-311-311-311-3-1-1-1-111-31111-3111111-1-13-1-1-1-13-1-1000000001111-1-11-1-11-1-11-1-11-1-1-1-111-111-111-111-1000000000000
χ60333333-3-3-3-3-3-333-1-13-1-13-1-13-1-1311-311-311-311-3-1-1-1-111-31111-3111111-1-13-1-1-1-13-1-100000000-1-1-1-111-111-111-111-11111-1-11-1-11-1-11-1-11000000000000
χ6133-3-3-333i3i−3i−3i3i−3i3-311-3-1-13-1-1311-3−i−i3i−i−i3iii−3iii−3i-11-11−i−i3i−i−iii−3iii−i−iii-1-13-1-111-3110000000011-1-1-1-1111-1-1-1111-1i−ii−i−i−iiii−i−i−iiii−i000000000000
χ6233-3-3-333i3i−3i−3i3i−3i3-311-3-1-13-1-1311-3−i−i3i−i−i3iii−3iii−3i-11-11−i−i3i−i−iii−3iii−i−iii-1-13-1-111-31100000000-1-11111-1-1-1111-1-1-11−ii−iiii−i−i−iiii−i−i−ii000000000000
χ6333-3-3-333i3i−3i−3i3i−3i3-31-31-13-1-13-11-31−i3i−i−i3i−ii−3iii−3ii-11-11−i3i−i−i−ii−3iiii−i−iii-13-1-1-11-31110000000011-1-1-11-11-11-11-11-11i−ii−i−ii−ii−ii−ii−ii−ii000000000000
χ6433-3-3-333i3i−3i−3i3i−3i3-31-31-13-1-13-11-31−i3i−i−i3i−ii−3iii−3ii-11-11−i3i−i−i−ii−3iiii−i−iii-13-1-1-11-311100000000-1-1111-11-11-11-11-11-1−ii−iii−ii−ii−ii−ii−ii−i000000000000
χ6533-3-3-333i3i−3i−3i3i−3i3-3-3113-1-13-1-1-3113i−i−i3i−i−i−3iii−3iii-11-113i−i−i−i−i−3iiiii−i−iii3-1-1-1-1-311110000000011-1-11-1-1-1111-1-1-111i−ii−ii−i−i−iiii−i−i−iii000000000000
χ6633-3-3-333i3i−3i−3i3i−3i3-3-3113-1-13-1-1-3113i−i−i3i−i−i−3iii−3iii-11-113i−i−i−i−i−3iiiii−i−iii3-1-1-1-1-3111100000000-1-111-1111-1-1-1111-1-1−ii−ii−iiii−i−i−iiii−i−i000000000000
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Here i is the imaginary unit (i² = −1).