Finite Group Databasebeta

← Group #13140168

Character table — Group #13140168

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order122222223444466666661212121233666666666666661212121212121212366666661212121212121212121212124444444412121212121212121212121212121212224444446666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ5111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ7111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ8111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111
χ911-111-1-1-1111-1-111-1-11-1-111-1-11111-1-11-1-1-1-111-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-1ii−i−iii−i−i11-1-1
χ1011-111-1-1-1111-1-111-1-11-1-111-1-11111-1-11-1-1-1-111-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-1-111−i−iii−i−iii-1-111
χ1111-111-1-1-1111-1-111-1-11-1-111-1-11111-1-11-1-1-1-111-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-1−i−iii−i−iii11-1-1
χ1211-111-1-1-1111-1-111-1-11-1-111-1-11111-1-11-1-1-1-111-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-1-111ii−i−iii−i−i-1-111
χ1311-111-1-1-11-1-11111-1-11-1-1-1-1111111-1-11-1-1-1-111-1-11-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-11−iii−i11-1-1ii−i−i−i−iii-1-111
χ1411-111-1-1-11-1-11111-1-11-1-1-1-1111111-1-11-1-1-1-111-1-11-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1i−i−ii-1-111−i−iiiii−i−i11-1-1
χ1511-111-1-1-11-1-11111-1-11-1-1-1-1111111-1-11-1-1-1-111-1-11-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11i−i−ii11-1-1−i−iiiii−i−i-1-111
χ1611-111-1-1-11-1-11111-1-11-1-1-1-1111111-1-11-1-1-1-111-1-11-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1−iii−i-1-111ii−i−i−i−iii11-1-1
χ172222222222222222222222222-12222-1-1-1-1-12-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022220000-1-1-1-100000000-1-1-1-1
χ182222222222222222222222222-12222-1-1-1-1-12-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-200001111000000001111
χ19222222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ20222222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ21222222222-2-2-2-22222222-2-2-2-22-12222-1-1-1-1-12-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111100000000000000000000000022-2-20000-1-1-1-1000000001111
χ22222222222-2-2-2-22222222-2-2-2-22-12222-1-1-1-1-12-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2220000111100000000-1-1-1-1
χ23222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-122222-12-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ24222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-122222-12-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ25222-2-2-2-2222i−2i2i−2i2-22-2-22-22i−2i2i−2i222-22-2222-2-2-2-22-2-22i2i−2i−2i2i2i−2i−2i22-222-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ26222-2-2-2-2222i−2i2i−2i2-22-2-22-22i−2i2i−2i2-12-22-2-1-1-111-212-212i2i−2i−2i2i2i−2i−2i-1-11-1-1111−ii−ii−i−iii−i−iii00000000000000000000000000000000−i3i3−i3i3000000003−33−3
χ27222-2-2-2-2222i−2i2i−2i2-22-2-22-22i−2i2i−2i2-12-22-2-1-1-111-212-212i2i−2i−2i2i2i−2i−2i-1-11-1-1111−ii−ii−i−iii−i−iii00000000000000000000000000000000i3−i3i3−i300000000−33−33
χ28222-2-2-2-2222i−2i2i−2i2-22-2-22-22i−2i2i−2i-12-11-11222-2-21-2-11-2−i−iii−i−iii-1-11-1-11112i−2i2i−2i−i−iii−i−iii0000000033−3−333−3−3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ29222-2-2-2-2222i−2i2i−2i2-22-2-22-22i−2i2i−2i-12-11-11222-2-21-2-11-2−i−iii−i−iii-1-11-1-11112i−2i2i−2i−i−iii−i−iii00000000−3−333−3−333i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ30222-2-2-2-222−2i2i−2i2i2-22-2-22-2−2i2i−2i2i222-22-2222-2-2-2-22-2-2−2i−2i2i2i−2i−2i2i2i22-222-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ31222-2-2-2-222−2i2i−2i2i2-22-2-22-2−2i2i−2i2i2-12-22-2-1-1-111-212-21−2i−2i2i2i−2i−2i2i2i-1-11-1-1111i−ii−iii−i−iii−i−i00000000000000000000000000000000−i3i3−i3i300000000−33−33
χ32222-2-2-2-222−2i2i−2i2i2-22-2-22-2−2i2i−2i2i2-12-22-2-1-1-111-212-21−2i−2i2i2i−2i−2i2i2i-1-11-1-1111i−ii−iii−i−iii−i−i00000000000000000000000000000000i3−i3i3−i3000000003−33−3
χ33222-2-2-2-222−2i2i−2i2i2-22-2-22-2−2i2i−2i2i-12-11-11222-2-21-2-11-2ii−i−iii−i−i-1-11-1-1111−2i2i−2i2iii−i−iii−i−i0000000033−3−333−3−3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ34222-2-2-2-222−2i2i−2i2i2-22-2-22-2−2i2i−2i2i-12-11-11222-2-21-2-11-2ii−i−iii−i−i-1-11-1-1111−2i2i−2i2iii−i−iii−i−i00000000−3−333−3−333−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ3522-222-2-2-2222-2-222-2-22-2-222-2-22-122-2-2-111112-1-2-2-12222-2-2-2-2-1-1-11111-1-1-111-1-1-1-111110000000000000000000000002-22-20000-1-11100000000-1-111
χ3622-222-2-2-2222-2-222-2-22-2-222-2-22-122-2-2-111112-1-2-2-12222-2-2-2-2-1-1-11111-1-1-111-1-1-1-11111000000000000000000000000-22-22000011-1-10000000011-1-1
χ3722-222-2-2-2222-2-222-2-22-2-222-2-2-12-1-1112-2-2-2-2-12112-1-1-1-11111-1-1-11111-122-2-2-1-1-1-111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ3822-222-2-2-2222-2-222-2-22-2-222-2-2-12-1-1112-2-2-2-2-12112-1-1-1-11111-1-1-11111-122-2-2-1-1-1-11111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ3922-222-2-2-22-2-22222-2-22-2-2-2-2222-122-2-2-111112-1-2-2-1-2-2-2-22222-1-1-11111-111-1-11111-1-1-1-10000000000000000000000002-2-220000-1-1110000000011-1-1
χ4022-222-2-2-22-2-22222-2-22-2-2-2-2222-122-2-2-111112-1-2-2-1-2-2-2-22222-1-1-11111-111-1-11111-1-1-1-1000000000000000000000000-222-2000011-1-100000000-1-111
χ4122-222-2-2-22-2-22222-2-22-2-2-2-222-12-1-1112-2-2-2-2-121121111-1-1-1-1-1-1-11111-1-2-2221111-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ4222-222-2-2-22-2-22222-2-22-2-2-2-222-12-1-1112-2-2-2-2-121121111-1-1-1-1-1-1-11111-1-2-2221111-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ4322-2-2-222-222i−2i−2i2i2-2-22-2-222i−2i−2i2i222-2-222-2-222-2-2-22-22i2i−2i−2i−2i−2i2i2i22-2-2-222-22i−2i−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4422-2-2-222-222i−2i−2i2i2-2-22-2-222i−2i−2i2i2-12-2-22-111-1-1-21-2212i2i−2i−2i−2i−2i2i2i-1-1111-1-11−iii−i−i−iiiii−i−i00000000000000000000000000000000−i3i3i3−i3000000003−3−33
χ4522-2-2-222-222i−2i−2i2i2-2-22-2-222i−2i−2i2i2-12-2-22-111-1-1-21-2212i2i−2i−2i−2i−2i2i2i-1-1111-1-11−iii−i−i−iiiii−i−i00000000000000000000000000000000i3−i3−i3i300000000−333−3
χ4622-2-2-222-222i−2i−2i2i2-2-22-2-222i−2i−2i2i-12-111-12-2-2221-21-1-2−i−iiiii−i−i-1-1111-1-112i−2i−2i2i−i−iiiii−i−i00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−3000000000000000000000000
χ4722-2-2-222-222i−2i−2i2i2-2-22-2-222i−2i−2i2i-12-111-12-2-2221-21-1-2−i−iiiii−i−i-1-1111-1-112i−2i−2i2i−i−iiiii−i−i00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−333000000000000000000000000
χ4822-2-2-222-22−2i2i2i−2i2-2-22-2-22−2i2i2i−2i222-2-222-2-222-2-2-22-2−2i−2i2i2i2i2i−2i−2i22-2-2-222-2−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4922-2-2-222-22−2i2i2i−2i2-2-22-2-22−2i2i2i−2i2-12-2-22-111-1-1-21-221−2i−2i2i2i2i2i−2i−2i-1-1111-1-11i−i−iiii−i−i−i−iii00000000000000000000000000000000−i3i3i3−i300000000−333−3
χ5022-2-2-222-22−2i2i2i−2i2-2-22-2-22−2i2i2i−2i2-12-2-22-111-1-1-21-221−2i−2i2i2i2i2i−2i−2i-1-1111-1-11i−i−iiii−i−i−i−iii00000000000000000000000000000000i3−i3−i3i3000000003−3−33
χ5122-2-2-222-22−2i2i2i−2i2-2-22-2-22−2i2i2i−2i-12-111-12-2-2221-21-1-2ii−i−i−i−iii-1-1111-1-11−2i2i2i−2iii−i−i−i−iii00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−333000000000000000000000000
χ5222-2-2-222-22−2i2i2i−2i2-2-22-2-22−2i2i2i−2i-12-111-12-2-2221-21-1-2ii−i−i−i−iii-1-1111-1-11−2i2i2i−2iii−i−i−i−iii00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−3000000000000000000000000
χ532-222-22-2-220000-2-22-22-22000022-2-222-22-22-222-2-2-2000000002-2-22-22-220000000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ542-222-22-2-220000-2-22-22-22000022-2-222-22-22-222-2-2-2000000002-2-22-22-22000000000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ552-222-22-2-220000-2-22-22-220000-1211-1-1-22-22-2-1211-2−i3i3−i3i3−i3i3−i3i3-111-11-11-10000−i3i3−i3i3−i3i3−i3i32i−2i2i−2i0000−ii−ii−ii−ii3−33−33−33−3000000000000000000000000
χ562-222-22-2-220000-2-22-22-220000-1211-1-1-22-22-2-1211-2−i3i3−i3i3−i3i3−i3i3-111-11-11-10000−i3i3−i3i3−i3i3−i3i3−2i2i−2i2i0000i−ii−ii−ii−i−33−33−33−33000000000000000000000000
χ572-222-22-2-220000-2-22-22-220000-1211-1-1-22-22-2-1211-2i3−i3i3−i3i3−i3i3−i3-111-11-11-10000i3−i3i3−i3i3−i3i3−i32i−2i2i−2i0000−ii−ii−ii−ii−33−33−33−33000000000000000000000000
χ582-222-22-2-220000-2-22-22-220000-1211-1-1-22-22-2-1211-2i3−i3i3−i3i3−i3i3−i3-111-11-11-10000i3−i3i3−i3i3−i3i3−i3−2i2i−2i2i0000i−ii−ii−ii−i3−33−33−33−3000000000000000000000000
χ592-22-22-22-220000-2222-2-2-2000022-222-2-22-2-22-2-2-222000000002-222-2-22-200000000000000002i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ602-22-22-22-220000-2222-2-2-2000022-222-2-22-2-22-2-2-222000000002-222-2-22-20000000000000000−2i2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ612-22-22-22-220000-2222-2-2-20000-121-1-11-22-2-221-21-123−3−333−3−33-11-1-111-1100003−3−333−3−3300002i−2i2i−2ii3−i3−i3i3i3−i3−i3i3−iii−i−iii−i000000000000000000000000
χ622-22-22-22-220000-2222-2-2-20000-121-1-11-22-2-221-21-123−3−333−3−33-11-1-111-1100003−3−333−3−330000−2i2i−2i2i−i3i3i3−i3−i3i3i3−i3i−i−iii−i−ii000000000000000000000000
χ632-22-22-22-220000-2222-2-2-20000-121-1-11-22-2-221-21-12−333−3−333−3-11-1-111-110000−333−3−333−300002i−2i2i−2i−i3i3i3−i3−i3i3i3−i3−iii−i−iii−i000000000000000000000000
χ642-22-22-22-220000-2222-2-2-20000-121-1-11-22-2-221-21-12−333−3−333−3-11-1-111-110000−333−3−333−30000−2i2i−2i2ii3−i3−i3i3i3−i3−i3i3i−i−iii−i−ii000000000000000000000000
χ652-2-22-2-22220000-2-2-2222-2000022-2-2-2-2-2-22-222222-2000000002-2-2-22-2220000000000002-2-2200002-22-2-22-2200000000000000000000000000000000
χ662-2-22-2-22220000-2-2-2222-2000022-2-2-2-2-2-22-222222-2000000002-2-2-22-222000000000000-222-20000-22-222-22-200000000000000000000000000000000
χ672-2-22-2-22220000-2-2-2222-20000-121111-2-22-22-12-1-1-2−i3i3−i3i3i3−i3i3−i3-1111-11-1-10000−i3i3−i3i3i3−i3i3−i32-2-220000-11-111-11-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ682-2-22-2-22220000-2-2-2222-20000-121111-2-22-22-12-1-1-2−i3i3−i3i3i3−i3i3−i3-1111-11-1-10000−i3i3−i3i3i3−i3i3−i3-222-200001-11-1-11-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ692-2-22-2-22220000-2-2-2222-20000-121111-2-22-22-12-1-1-2i3−i3i3−i3−i3i3−i3i3-1111-11-1-10000i3−i3i3−i3−i3i3−i3i32-2-220000-11-111-11-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ702-2-22-2-22220000-2-2-2222-20000-121111-2-22-22-12-1-1-2i3−i3i3−i3−i3i3−i3i3-1111-11-1-10000i3−i3i3−i3−i3i3−i3i3-222-200001-11-1-11-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ712-2-2-222-2220000-22-2-2-222000022-22-22-2-222-2-2-22-22000000002-22-222-2-200000000000000002-2-22000000002-2-22-222-2000000000000000000000000
χ722-2-2-222-2220000-22-2-2-222000022-22-22-2-222-2-2-22-22000000002-22-222-2-20000000000000000-222-200000000-222-22-2-22000000000000000000000000
χ732-2-2-222-2220000-22-2-2-2220000-121-11-1-2-222-21-2-1123−3−33−333−3-11-11-1-11100003−3−33−333−300002-2-223−3−33−333−3-111-11-1-11000000000000000000000000
χ742-2-2-222-2220000-22-2-2-2220000-121-11-1-2-222-21-2-1123−3−33−333−3-11-11-1-11100003−3−33−333−30000-222-2−333−33−3−331-1-11-111-1000000000000000000000000
χ752-2-2-222-2220000-22-2-2-2220000-121-11-1-2-222-21-2-112−333−33−3−33-11-11-1-1110000−333−33−3−3300002-2-22−333−33−3−33-111-11-1-11000000000000000000000000
χ762-2-2-222-2220000-22-2-2-2220000-121-11-1-2-222-21-2-112−333−33−3−33-11-11-1-1110000−333−33−3−330000-222-23−3−33−333−31-1-11-111-1000000000000000000000000
χ77444444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-211111111000000000000000000000000000000000000000000000000
χ78444444444-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222111111112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ79444-4-4-4-4444i−4i4i−4i4-44-4-44-44i−4i4i−4i-2-2-22-22-2-2-22222-222−2i−2i2i2i−2i−2i2i2i11-111-1-1-1−2i2i−2i2iii−i−iii−i−i000000000000000000000000000000000000000000000000
χ80444-4-4-4-444−4i4i−4i4i4-44-4-44-4−4i4i−4i4i-2-2-22-22-2-2-22222-2222i2i−2i−2i2i2i−2i−2i11-111-1-1-12i−2i2i−2i−i−iii−i−iii000000000000000000000000000000000000000000000000
χ8144-444-4-4-4444-4-444-4-44-4-444-4-4-2-2-2-222-22222-2-222-2-2-2-2-22222111-1-1-1-11-2-2221111-1-1-1-1000000000000000000000000000000000000000000000000
χ8244-444-4-4-44-4-44444-4-44-4-4-4-444-2-2-2-222-22222-2-222-22222-2-2-2-2111-1-1-1-1122-2-2-1-1-1-11111000000000000000000000000000000000000000000000000
χ8344-4-4-444-444i−4i−4i4i4-4-44-4-444i−4i−4i4i-2-2-222-2-222-2-2222-22−2i−2i2i2i2i2i−2i−2i11-1-1-111-1−2i2i2i−2iii−i−i−i−iii000000000000000000000000000000000000000000000000
χ8444-4-4-444-44−4i4i4i−4i4-4-44-4-44−4i4i4i−4i-2-2-222-2-222-2-2222-222i2i−2i−2i−2i−2i2i2i11-1-1-111-12i−2i−2i2i−i−iiiii−i−i000000000000000000000000000000000000000000000000
χ854-444-44-4-440000-4-44-44-4400004-2-4-4442-22-224-2-4-4200000000-222-22-22-2000000000000000000000000000000000000000000000000000000000000
χ864-444-44-4-440000-4-44-44-440000-2-222-2-22-22-22-2-2222−2i32i3−2i32i3−2i32i3−2i32i31-1-11-11-110000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ874-444-44-4-440000-4-44-44-440000-2-222-2-22-22-22-2-22222i3−2i32i3−2i32i3−2i32i3−2i31-1-11-11-110000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ884-44-44-44-440000-4444-4-4-400004-2-444-42-222-2-42-44-200000000-22-2-222-22000000000000000000000000000000000000000000000000000000000000
χ894-44-44-44-440000-4444-4-4-40000-2-22-2-222-222-2222-2-223−23−232323−23−23231-111-1-11-10000−333−3−333−3000000000000000000000000000000000000000000000000
χ904-44-44-44-440000-4444-4-4-40000-2-22-2-222-222-2222-2-2−232323−23−232323−231-111-1-11-100003−3−333−3−33000000000000000000000000000000000000000000000000
χ914-4-44-4-44440000-4-4-4444-400004-2-4-4-4-422-22-24-244200000000-2222-22-2-2000000000000000000000000000000000000000000000000000000000000
χ924-4-44-4-44440000-4-4-4444-40000-2-2222222-22-2-2-2-2-22−2i32i3−2i32i32i3−2i32i3−2i31-1-1-11-1110000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ934-4-44-4-44440000-4-4-4444-40000-2-2222222-22-2-2-2-2-222i3−2i32i3−2i3−2i32i3−2i32i31-1-1-11-1110000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ944-4-4-444-4440000-44-4-4-44400004-2-44-4422-2-22-424-4-200000000-22-22-2-222000000000000000000000000000000000000000000000000000000000000
χ954-4-4-444-4440000-44-4-4-4440000-2-22-22-222-2-2222-22-223−23−2323−232323−231-11-111-1-10000−333−33−3−33000000000000000000000000000000000000000000000000
χ964-4-4-444-4440000-44-4-4-4440000-2-22-22-222-2-2222-22-2−232323−2323−23−23231-11-111-1-100003−3−33−333−3000000000000000000000000000000000000000000000000
χ9766666666-36666-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000000022220000-1-1-1-1-1-1-1-10000
χ9866666666-36666-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000000000-2-2-2-20000111111110000
χ9966666666-3-6-6-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000000022-2-200001111-1-1-1-10000
χ10066666666-3-6-6-6-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000000000-2-2220000-1-1-1-111110000
χ101666-6-6-6-66-36i−6i6i−6i-33-333-33−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i33−33−30000
χ102666-6-6-6-66-36i−6i6i−6i-33-333-33−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i3−33−330000
χ103666-6-6-6-66-3−6i6i−6i6i-33-333-333i−3i3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i3−33−330000
χ104666-6-6-6-66-3−6i6i−6i6i-33-333-333i−3i3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i33−33−30000
χ10566-666-6-6-6-366-6-6-3-333-333-3-3330000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000−i−iii−i−iii0000
χ10666-666-6-6-6-366-6-6-3-333-333-3-333000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i0000
χ10766-666-6-6-6-3-6-666-3-333-33333-3-30000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000ii−i−i−i−iii0000
χ10866-666-6-6-6-3-6-666-3-333-33333-3-3000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000−i−iiiii−i−i0000
χ10966-6-6-666-6-36i−6i−6i6i-333-333-3−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000000000000000000000003−3−33i3−i3−i3i30000
χ11066-6-6-666-6-36i−6i−6i6i-333-333-3−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000000000−333−3−i3i3i3−i30000
χ11166-6-6-666-6-3−6i6i6i−6i-333-333-33i−3i−3i3i000000000000000000000000000000000000000000000000000000000000000000000000000000003−3−33−i3i3i3−i30000
χ11266-6-6-666-6-3−6i6i6i−6i-333-333-33i−3i−3i3i00000000000000000000000000000000000000000000000000000000000000000000000000000000−333−3i3−i3−i3i30000
χ11312-121212-1212-12-12-6000066-66-66-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11412-1212-1212-1212-12-600006-6-6-6666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-12-1212-12-121212-60000666-6-6-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-12-121212-1212-600006-6666-6-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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