Finite Group Databasebeta

← Group #11786166

Character table — Group #11786166

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order12442223344466661212121212123666666668888121212121212121212242424242424242444441212121212121212661212242424242424242424242424448888121212122424242424242424888824242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911111-1-1111-1-1111111111111-1-1-1-111111-1-1-1-111111-1-11111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ1011111-1-1111-1-1111111111111-1-1-1-111111-1-1-1-111111-1-11111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ1111111-1-1111-1-1111111111111-1-1-1-111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii
χ1211111-1-1111-1-1111111111111-1-1-1-111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i
χ1311111-1-1111-1-1111111111111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ1411111-1-1111-1-1111111111111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ1511111-1-1111-1-1111111111111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ1611111-1-1111-1-1111111111111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ1722222222-12222-122-1-12222-1-122-1-1-1-1-1222222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ1822222222-12222-122-1-12222-1-122-1-1-1-1-1222222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ1922222222-12222-122-1-12222-1-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111111100000000000000000022-2-2-1-1-1-111110000
χ2022222222-12222-122-1-12222-1-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000000000000000000-2-2221111-1-1-1-10000
χ212222222-12222-12-1-122-1-1-1-1-12-1-122-1-1-12222-1-1-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222-12222-12-1-122-1-1-1-1-12-1-122-1-1-12222-1-1-1-12-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ232222222-12222-12-1-122-1-1-1-1-12-1-122-1-1-1-2-2-2-2-1-1-1-12-1-122111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111122-2-2-2-2-1-1-1-1111111110000000000000000
χ242222222-12222-12-1-122-1-1-1-1-12-1-122-1-1-1-2-2-2-2-1-1-1-12-1-12211111111-2-2-2-211111111-1-1-1-1-2-21111-2-21111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ2522222-2-22-12-2-22-122-1-12222-1-1-2-211-1-1-122-2-2-2-2-1-1-1-1-1112222-2-2-2-20000000000001111-1-1-1-1-1-11111110000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ2622222-2-22-12-2-22-122-1-12222-1-1-2-211-1-1-122-2-2-2-2-1-1-1-1-1112222-2-2-2-20000000000001111-1-1-1-1-1-1111111000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ2722222-2-22-12-2-22-122-1-12222-1-1-2-211-1-1-1-2-222-2-2-1-1-1-1-111-2-2-2-222220000000000001111111111-1-1-1-1-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ2822222-2-22-12-2-22-122-1-12222-1-1-2-211-1-1-1-2-222-2-2-1-1-1-1-111-2-2-2-222220000000000001111111111-1-1-1-1-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ2922222-2-2-122-2-2-12-1-122-1-1-1-1-1211-2-2-1-1-122-2-211-1-12-1-1-2-2-1-1-1-111112222-1-1-1-1-1-1-1-1111122-1-1-1-1-2-21111-2-222-2-21111-1-1-1-111110000000000000000
χ3022222-2-2-122-2-2-12-1-122-1-1-1-1-1211-2-2-1-1-122-2-211-1-12-1-1-2-2-1-1-1-11111-2-2-2-211111111111122-1-1-1-1-2-2111122-2-222-1-1-1-11111-1-1-1-10000000000000000
χ3122222-2-2-122-2-2-12-1-122-1-1-1-1-1211-2-2-1-1-1-2-22211-1-12-1-1-2-21111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2111122-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000000000
χ3222222-2-2-122-2-2-12-1-122-1-1-1-1-1211-2-2-1-1-1-2-22211-1-12-1-1-2-21111-1-1-1-1-2-2-2-2111111111111-2-2111122-1-1-1-12222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ332222-22-222-22-222-2-222-2-2222-22-22-2-2-222i−2i2i−2i2-222-2-2-22-22i2i−2i−2i2i2i−2i−2i0000000000002-22-22i−2i2i2i−2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ342222-22-222-22-222-2-222-2-2222-22-22-2-2-22−2i2i−2i2i2-222-2-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000002-22-2−2i2i−2i−2i2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ352222-22-22-1-22-22-1-2-2-1-1-2-222-112-2-1111-12i−2i2i−2i2-2-1-1111-112i2i−2i−2i2i2i−2i−2i000000000000-11-11−ii−i−iii−ii−i−iii0000000000000000000000−i3i3−i3i33−33−30000
χ362222-22-22-1-22-22-1-2-2-1-1-2-222-112-2-1111-12i−2i2i−2i2-2-1-1111-112i2i−2i−2i2i2i−2i−2i000000000000-11-11−ii−i−iii−ii−i−iii0000000000000000000000i3−i3i3−i3−33−330000
χ372222-22-22-1-22-22-1-2-2-1-1-2-222-112-2-1111-1−2i2i−2i2i2-2-1-1111-11−2i−2i2i2i−2i−2i2i2i000000000000-11-11i−iii−i−ii−iii−i−i0000000000000000000000−i3i3−i3i3−33−330000
χ382222-22-22-1-22-22-1-2-2-1-1-2-222-112-2-1111-1−2i2i−2i2i2-2-1-1111-11−2i−2i2i2i−2i−2i2i2i000000000000-11-11i−iii−i−ii−iii−i−i0000000000000000000000i3−i3i3−i33−33−30000
χ392222-22-2-12-22-2-12112211-1-1-1-2-112-211-12i−2i2i−2i-11-1-1-2112-2−i−iii−i−iii00003333−3−3−3−3-11-112i−2i−i−iii2i−2i−i−iii00000033−3−3−i3−i3i3i3−i3−i3i3i30000000000000000
χ402222-22-2-12-22-2-12112211-1-1-1-2-112-211-12i−2i2i−2i-11-1-1-2112-2−i−iii−i−iii0000−3−3−3−33333-11-112i−2i−i−iii2i−2i−i−iii000000−3−333i3i3−i3−i3i3i3−i3−i30000000000000000
χ412222-22-2-12-22-2-12112211-1-1-1-2-112-211-1−2i2i−2i2i-11-1-1-2112-2ii−i−iii−i−i00003333−3−3−3−3-11-11−2i2iii−i−i−2i2iii−i−i00000033−3−3i3i3−i3−i3i3i3−i3−i30000000000000000
χ422222-22-2-12-22-2-12112211-1-1-1-2-112-211-1−2i2i−2i2i-11-1-1-2112-2ii−i−iii−i−i0000−3−3−3−33333-11-11−2i2iii−i−i−2i2iii−i−i000000−3−333−i3−i3i3i3−i3−i3i3i30000000000000000
χ432222-2-2222-2-2222-2-222-2-2222-2-22-22-2-222i−2i−2i2i-2222-2-2-2-222i2i−2i−2i−2i−2i2i2i000000000000-22-222i−2i2i2i−2i−2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ442222-2-2222-2-2222-2-222-2-2222-2-22-22-2-22−2i2i2i−2i-2222-2-2-2-22−2i−2i2i2i2i2i−2i−2i000000000000-22-22−2i2i−2i−2i2i2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ452222-2-222-1-2-222-1-2-2-1-1-2-222-11-221-111-12i−2i−2i2i-22-1-11111-12i2i−2i−2i−2i−2i2i2i0000000000001-11-1−ii−i−iiii−iii−i−i00000000000000000000003−3−33i3−i3−i3i30000
χ462222-2-222-1-2-222-1-2-2-1-1-2-222-11-221-111-12i−2i−2i2i-22-1-11111-12i2i−2i−2i−2i−2i2i2i0000000000001-11-1−ii−i−iiii−iii−i−i0000000000000000000000−333−3−i3i3i3−i30000
χ472222-2-222-1-2-222-1-2-2-1-1-2-222-11-221-111-1−2i2i2i−2i-22-1-11111-1−2i−2i2i2i2i2i−2i−2i0000000000001-11-1i−iii−i−i−ii−i−iii00000000000000000000003−3−33−i3i3i3−i30000
χ482222-2-222-1-2-222-1-2-2-1-1-2-222-11-221-111-1−2i2i2i−2i-22-1-11111-1−2i−2i2i2i2i2i−2i−2i0000000000001-11-1i−iii−i−i−ii−i−iii0000000000000000000000−333−3i3−i3−i3i30000
χ492222-2-22-12-2-22-12112211-1-1-1-21-1-2211-12i−2i−2i2i1-1-1-1-211-22−i−iiiii−i−i00003333−3−3−3−31-11-12i−2i−i−iii−2i2iii−i−i000000−3−333−i3−i3i3i3i3i3−i3−i30000000000000000
χ502222-2-22-12-2-22-12112211-1-1-1-21-1-2211-12i−2i−2i2i1-1-1-1-211-22−i−iiiii−i−i0000−3−3−3−333331-11-12i−2i−i−iii−2i2iii−i−i00000033−3−3i3i3−i3−i3−i3−i3i3i30000000000000000
χ512222-2-22-12-2-22-12112211-1-1-1-21-1-2211-1−2i2i2i−2i1-1-1-1-211-22ii−i−i−i−iii00003333−3−3−3−31-11-1−2i2iii−i−i2i−2i−i−iii000000−3−333i3i3−i3−i3−i3−i3i3i30000000000000000
χ522222-2-22-12-2-22-12112211-1-1-1-21-1-2211-1−2i2i2i−2i1-1-1-1-211-22ii−i−i−i−iii0000−3−3−3−333331-11-1−2i2iii−i−i2i−2i−i−iii00000033−3−3−i3−i3i3i3i3i3−i3−i30000000000000000
χ5322-2-222222-2-2-22222-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2-20000000000000000000022-2-2000000000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000000
χ5422-2-222222-2-2-22222-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2-20000000000000000000022-2-200000000000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ5522-2-2222-12-2-2-2-12-1-1-2-21111-12-1-122-1-1-100001111-211-2-23−33−33−33−30000−i3−i3i3i3−i3−i3i3i3-1-111003−33−3003−33−3002i−2i2i−2i−i3i3−i3i3−ii−ii−ii−ii0000000000000000
χ5622-2-2222-12-2-2-2-12-1-1-2-21111-12-1-122-1-1-100001111-211-2-23−33−33−33−30000i3i3−i3−i3i3i3−i3−i3-1-111003−33−3003−33−300−2i2i−2i2ii3−i3i3−i3i−ii−ii−ii−i0000000000000000
χ5722-2-2222-12-2-2-2-12-1-1-2-21111-12-1-122-1-1-100001111-211-2-2−33−33−33−330000−i3−i3i3i3−i3−i3i3i3-1-11100−33−3300−33−3300−2i2i−2i2i−i3i3−i3i3i−ii−ii−ii−i0000000000000000
χ5822-2-2222-12-2-2-2-12-1-1-2-21111-12-1-122-1-1-100001111-211-2-2−33−33−33−330000i3i3−i3−i3i3i3−i3−i3-1-11100−33−3300−33−33002i−2i2i−2ii3−i3i3−i3−ii−ii−ii−ii0000000000000000
χ5922-2-22-2-222-2222222-2-2-2-2-2-222-2-2-2-2222000022-2-2-2-2-22200000000000000000000-2-222000000000000002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i0000000000000000
χ6022-2-22-2-222-2222222-2-2-2-2-2-222-2-2-2-2222000022-2-2-2-2-22200000000000000000000-2-22200000000000000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ6122-2-22-2-2-12-222-12-1-1-2-21111-1211-2-2-1-1-10000-1-111-211223−33−3−33−330000−i3−i3i3i3−i3−i3i3i311-1-1003−33−300−33−33002i−2i−2i2ii3−i3i3−i3−ii−iii−ii−i0000000000000000
χ6222-2-22-2-2-12-222-12-1-1-2-21111-1211-2-2-1-1-10000-1-111-211223−33−3−33−330000i3i3−i3−i3i3i3−i3−i311-1-1003−33−300−33−3300−2i2i2i−2i−i3i3−i3i3i−ii−i−ii−ii0000000000000000
χ6322-2-22-2-2-12-222-12-1-1-2-21111-1211-2-2-1-1-10000-1-111-21122−33−333−33−30000−i3−i3i3i3−i3−i3i3i311-1-100−33−33003−33−300−2i2i2i−2ii3−i3i3−i3i−ii−i−ii−ii0000000000000000
χ6422-2-22-2-2-12-222-12-1-1-2-21111-1211-2-2-1-1-10000-1-111-21122−33−333−33−30000i3i3−i3−i3i3i3−i3−i311-1-100−33−33003−33−3002i−2i−2i2i−i3i3−i3i3−ii−iii−ii−i0000000000000000
χ6522-2-2-22-2222-2222-2-2-2-222-2-22-22-22-2-2-220000-22-2-2222-22000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2-2-220000000000002i−2i00002i−2i−2i2i000000000000000000000000
χ6622-2-2-22-2222-2222-2-2-2-222-2-22-22-22-2-2-220000-22-2-2222-2200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2-2-22000000000000−2i2i0000−2i2i2i−2i000000000000000000000000
χ6722-2-2-22-2-122-22-1211-2-2-1-111-1-2-112-211-100001-1112-1-1-22−i3i3i3−i3−i3i3i3−i32i2i−2i−2i−i−iiiii−i−i-111-100−i3i3i3−i300−i3i3i3−i32i−2i0000−iii−i−333−3−333−30000000000000000
χ6822-2-2-22-2-122-22-1211-2-2-1-111-1-2-112-211-100001-1112-1-1-22−i3i3i3−i3−i3i3i3−i3−2i−2i2i2iii−i−i−i−iii-111-100−i3i3i3−i300−i3i3i3−i3−2i2i0000i−i−ii3−3−333−3−330000000000000000
χ6922-2-2-22-2-122-22-1211-2-2-1-111-1-2-112-211-100001-1112-1-1-22i3−i3−i3i3i3−i3−i3i32i2i−2i−2i−i−iiiii−i−i-111-100i3−i3−i3i300i3−i3−i3i32i−2i0000−iii−i3−3−333−3−330000000000000000
χ7022-2-2-22-2-122-22-1211-2-2-1-111-1-2-112-211-100001-1112-1-1-22i3−i3−i3i3i3−i3−i3i3−2i−2i2i2iii−i−i−i−iii-111-100i3−i3−i3i300i3−i3−i3i3−2i2i0000i−i−ii−333−3−333−30000000000000000
χ7122-2-2-2-222222-222-2-2-2-222-2-22-2-22-22-2-2200002-2-2-22222-2000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-222-2000000000000−2i2i0000−2i2i2i−2i000000000000000000000000
χ7222-2-2-2-222222-222-2-2-2-222-2-22-2-22-22-2-2200002-2-2-22222-200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-222-20000000000002i−2i00002i−2i−2i2i000000000000000000000000
χ7322-2-2-2-22-1222-2-1211-2-2-1-111-1-21-1-2211-10000-11112-1-12-2−i3i3i3−i3i3−i3−i3i32i2i−2i−2i−i−iiiii−i−i1-1-1100−i3i3i3−i300i3−i3−i3i3−2i2i0000i−i−ii−333−33−3−330000000000000000
χ7422-2-2-2-22-1222-2-1211-2-2-1-111-1-21-1-2211-10000-11112-1-12-2−i3i3i3−i3i3−i3−i3i3−2i−2i2i2iii−i−i−i−iii1-1-1100−i3i3i3−i300i3−i3−i3i32i−2i0000−iii−i3−3−33−333−30000000000000000
χ7522-2-2-2-22-1222-2-1211-2-2-1-111-1-21-1-2211-10000-11112-1-12-2i3−i3−i3i3−i3i3i3−i32i2i−2i−2i−i−iiiii−i−i1-1-1100i3−i3−i3i300−i3i3i3−i3−2i2i0000i−i−ii3−3−33−333−30000000000000000
χ7622-2-2-2-22-1222-2-1211-2-2-1-111-1-21-1-2211-10000-11112-1-12-2i3−i3−i3i3−i3i3i3−i3−2i−2i2i2iii−i−i−i−iii1-1-1100i3−i3−i3i300−i3i3i3−i32i−2i0000−iii−i−333−33−3−330000000000000000
χ774444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-21114444-2-211-211-2-2-2-2-2-2-2-2-2-20000000000001111-2-21111-2-211110000000000000000000000000000000000
χ784444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-4-4-4-4-2-211-211-2-222222222000000000000111122-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ7944444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21-2222211144-4-42211-21122-2-2-2-22222000000000000-1-1-1-1-2-2111122-1-1-1-10000000000000000000000000000000000
χ8044444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21-22222111-4-4442211-211222222-2-2-2-2000000000000-1-1-1-122-1-1-1-1-2-211110000000000000000000000000000000000
χ814444-44-4-2-2-44-4-2-222-2-222-2-212-22-22-1-114i−4i4i−4i-22112-1-1-22−2i−2i2i2i−2i−2i2i2i0000000000001-11-1−2i2iii−i−i−2i2iii−i−i0000000000000000000000000000000000
χ824444-44-4-2-2-44-4-2-222-2-222-2-212-22-22-1-11−4i4i−4i4i-22112-1-1-222i2i−2i−2i2i2i−2i−2i0000000000001-11-12i−2i−i−iii2i−2i−i−iii0000000000000000000000000000000000
χ834444-4-44-2-2-4-44-2-222-2-222-2-2122-22-2-1-114i−4i−4i4i2-2112-1-12-2−2i−2i2i2i2i2i−2i−2i000000000000-11-11−2i2iii−i−i2i−2i−i−iii0000000000000000000000000000000000
χ844444-4-44-2-2-4-44-2-222-2-222-2-2122-22-2-1-11−4i4i4i−4i2-2112-1-12-22i2i−2i−2i−2i−2i2i2i000000000000-11-112i−2i−i−iii−2i2iii−i−i0000000000000000000000000000000000
χ8544-4-44444-2-4-4-44-24422-4-4-4-4-2-244-2-2-2-2-20000-4-4222222200000000000000000000-2-2220000000000000000000000000000000000000000000000
χ8644-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-2111000022-1-12-1-12223−2323−2323−2323−2300000000000011-1-100−33−3300−33−330000000000000000000000000000000000
χ8744-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-2111000022-1-12-1-122−2323−2323−2323−232300000000000011-1-1003−33−3003−33−30000000000000000000000000000000000
χ8844-4-44-4-44-2-4444-24422-4-4-4-4-2-2-4-422-2-2-200004422222-2-20000000000000000000022-2-20000000000000000000000000000000000000000000000
χ8944-4-44-4-4-2-2-444-2-2-2-22222221-222221110000-2-2-1-12-1-1-2-223−2323−23−2323−2323000000000000-1-11100−33−33003−33−30000000000000000000000000000000000
χ9044-4-44-4-4-2-2-444-2-2-2-22222221-222221110000-2-2-1-12-1-1-2-2−2323−232323−2323−23000000000000-1-111003−33−300−33−330000000000000000000000000000000000
χ9144-4-4-44-44-24-444-2-4-42244-4-4-224-4-2222-20000-4422-2-2-22-200000000000000000000-222-20000000000000000000000000000000000000000000000
χ9244-4-4-44-4-2-24-44-2-22222-2-22212-22-22-1-1100002-2-1-1-2112-2−2i32i32i3−2i3−2i32i32i3−2i30000000000001-1-1100i3−i3−i3i300i3−i3−i3i30000000000000000000000000000000000
χ9344-4-4-44-4-2-24-44-2-22222-2-22212-22-22-1-1100002-2-1-1-2112-22i3−2i3−2i32i32i3−2i3−2i32i30000000000001-1-1100−i3i3i3−i300−i3i3i3−i30000000000000000000000000000000000
χ9444-4-4-4-444-244-44-2-4-42244-4-4-22-442-222-200004-422-2-2-2-22000000000000000000002-2-220000000000000000000000000000000000000000000000
χ9544-4-4-4-44-2-244-4-2-22222-2-222122-22-2-1-110000-22-1-1-211-22−2i32i32i3−2i32i3−2i3−2i32i3000000000000-111-100i3−i3−i3i300−i3i3i3−i30000000000000000000000000000000000
χ9644-4-4-4-44-2-244-4-2-22222-2-222122-22-2-1-110000-22-1-1-211-222i3−2i3−2i32i3−2i32i32i3−2i3000000000000-111-100−i3i3i3−i300i3−i3−i3i30000000000000000000000000000000000
χ974-44i−4i00044000-4-4004i−4i004i−4i40000000-40000004i−4i00000000000002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i2−2i−2+2i2+2i−2−2i00000000000000000000000000000000000000000000000000
χ984-44i−4i00044000-4-4004i−4i004i−4i40000000-40000004i−4i0000000000000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i−2+2i2−2i−2−2i2+2i00000000000000000000000000000000000000000000000000
χ994-44i−4i000-240002-4−2i32i34i−4i23−23−2i2i-200000−2i32i32000000−2i2i023−2300000000002+2i−2−2i2−2i−2+2i−2ζ10+2ζ112ζ10−2ζ11−2ζ2−2ζ72ζ2+2ζ7−2ζ10−2ζ112ζ10+2ζ11−2ζ2+2ζ72ζ2−2ζ700000000000000000000000000000000000000000000000000
χ1004-44i−4i000-240002-4−2i32i34i−4i23−23−2i2i-200000−2i32i32000000−2i2i023−230000000000−2−2i2+2i−2+2i2−2i2ζ10−2ζ11−2ζ10+2ζ112ζ2+2ζ7−2ζ2−2ζ72ζ10+2ζ11−2ζ10−2ζ112ζ2−2ζ7−2ζ2+2ζ700000000000000000000000000000000000000000000000000
χ1014-44i−4i000-240002-42i3−2i34i−4i−2323−2i2i-2000002i3−2i32000000−2i2i0−232300000000002+2i−2−2i2−2i−2+2i−2ζ2+2ζ72ζ2−2ζ7−2ζ10−2ζ112ζ10+2ζ11−2ζ2−2ζ72ζ2+2ζ7−2ζ10+2ζ112ζ10−2ζ1100000000000000000000000000000000000000000000000000
χ1024-44i−4i000-240002-42i3−2i34i−4i−2323−2i2i-2000002i3−2i32000000−2i2i0−23230000000000−2−2i2+2i−2+2i2−2i2ζ2−2ζ7−2ζ2+2ζ72ζ10+2ζ11−2ζ10−2ζ112ζ2+2ζ7−2ζ2−2ζ72ζ10−2ζ11−2ζ10+2ζ1100000000000000000000000000000000000000000000000000
χ1034-4−4i4i00044000-4-400−4i4i00−4i4i40000000-4000000−4i4i00000000000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i2+2i−2−2i2−2i−2+2i00000000000000000000000000000000000000000000000000
χ1044-4−4i4i00044000-4-400−4i4i00−4i4i40000000-4000000−4i4i0000000000000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i−2−2i2+2i−2+2i2−2i00000000000000000000000000000000000000000000000000
χ1054-4−4i4i000-240002-4−2i32i3−4i4i−23232i−2i-200000−2i32i320000002i−2i0−232300000000002−2i−2+2i2+2i−2−2i−2ζ10−2ζ112ζ10+2ζ11−2ζ2+2ζ72ζ2−2ζ7−2ζ10+2ζ112ζ10−2ζ11−2ζ2−2ζ72ζ2+2ζ700000000000000000000000000000000000000000000000000
χ1064-4−4i4i000-240002-4−2i32i3−4i4i−23232i−2i-200000−2i32i320000002i−2i0−23230000000000−2+2i2−2i−2−2i2+2i2ζ10+2ζ11−2ζ10−2ζ112ζ2−2ζ7−2ζ2+2ζ72ζ10−2ζ11−2ζ10+2ζ112ζ2+2ζ7−2ζ2−2ζ700000000000000000000000000000000000000000000000000
χ1074-4−4i4i000-240002-42i3−2i3−4i4i23−232i−2i-2000002i3−2i320000002i−2i023−2300000000002−2i−2+2i2+2i−2−2i−2ζ2−2ζ72ζ2+2ζ7−2ζ10+2ζ112ζ10−2ζ11−2ζ2+2ζ72ζ2−2ζ7−2ζ10−2ζ112ζ10+2ζ1100000000000000000000000000000000000000000000000000
χ1084-4−4i4i000-240002-42i3−2i3−4i4i23−232i−2i-2000002i3−2i320000002i−2i023−230000000000−2+2i2−2i−2−2i2+2i2ζ2+2ζ7−2ζ2−2ζ72ζ10−2ζ11−2ζ10+2ζ112ζ2−2ζ7−2ζ2+2ζ72ζ10+2ζ11−2ζ10−2ζ1100000000000000000000000000000000000000000000000000
χ1098-88i−8i0008-4000-8400−4i4i008i−8i-400000004000000−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88i−8i000-4-400044−4i34i3−4i4i43−43−4i4i2000002i3−2i3-20000002i−2i0−2323000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88i−8i000-4-4000444i3−4i3−4i4i−4343−4i4i200000−2i32i3-20000002i−2i023−23000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i0008-4000-84004i−4i00−8i8i-4000000040000004i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i000-4-400044−4i34i34i−4i−43434i−4i2000002i3−2i3-2000000−2i2i023−23000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i000-4-4000444i3−4i34i−4i43−434i−4i200000−2i32i3-2000000−2i2i0−2323000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.