Finite Group Databasebeta

← Group #10692991

Character table — Group #10692991

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444424242424484848484848
order12222222344446666666244444444444444444444444444666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ6111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ91111-1-1111-1-1-1-111-1-1-1-11-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-11-1i−ii−i
χ101111-1-1111-1-1-1-111-1-1-1-11-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-11−ii−ii
χ111111-1-1111-1-1-1-111-1-1-1-11-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-111-1-11-1−ii−ii
χ121111-1-1111-1-1-1-111-1-1-1-11-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1-1-111-11i−ii−i
χ131111-1-1111-1-1-1-111-1-1-1-11-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1111111-1-1-11i−i−ii
χ141111-1-1111-1-1-1-111-1-1-1-11-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111-1-1111-1−iii−i
χ151111-1-1111-1-1-1-111-1-1-1-11-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-11−iii−i
χ161111-1-1111-1-1-1-111-1-1-1-11-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1111-1i−i−ii
χ17222222222-2-2-2-2222222222222-2-2-2-2-2-2000000000000000022222222222200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000
χ18222222222-2-2-2-222222222-2-2-2-2-2-2222200000000000000002222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2222222220000000000
χ1922222222-12222-1-1-1-1-1-1-1222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ2022222222-12222-1-1-1-1-1-1-122222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ2122222222-12222-1-1-1-1-1-1-12-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111110000000000
χ2222222222-12222-1-1-1-1-1-1-12-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-122222-2-2-2-2-2-20000000000000000-1-1-1-1-1-1-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311111111111111110000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-122222-2-2-2-2-2-20000000000000000-1-1-1-1-1-1-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311111111111111110000000000
χ2522222222-1-2-2-2-2-1-1-1-1-1-1-12-2-2-2-2-2-222220000000000000000-1-1-1-111111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311111111-1-1-1-1-1-1-1-10000000000
χ2622222222-1-2-2-2-2-1-1-1-1-1-1-12-2-2-2-2-2-222220000000000000000-1-1-1-111111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311111111-1-1-1-1-1-1-1-10000000000
χ27222222-2-2222-2-22222222-200002-200000000000022-2-222-2-2-2-2-2-200000000000000000000000022-2-222-2-222-2-222-2-222-2-222-2-2000000000000000000
χ28222222-2-2222-2-22222222-200002-2000000000000-2-222-2-222-2-2-2-2000000000000000000000000-2-222-2-222-2-222-2-22222-2-222-2-2000000000000000000
χ29222222-2-22-2-2222222222-20000-22000022-2-222-2-200000000-2-2-2-20000000022-2-222-2-222-2-222-2-20000000000000000-2-222-2-222000000000000000000
χ30222222-2-22-2-2222222222-20000-220000-2-222-2-22200000000-2-2-2-200000000-2-222-2-222-2-222-2-2220000000000000000-2-222-2-222000000000000000000
χ31222222-2-2-122-2-2-1-1-1-1-1-1-1-200002-200000000000022-2-222-2-21111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-111-1-111-1-111-1-111-1-111-1-111−i3−i3i3i3−i3−i3i3i30000000000
χ32222222-2-2-122-2-2-1-1-1-1-1-1-1-200002-200000000000022-2-222-2-21111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-111-1-111-1-111-1-111-1-111-1-111i3i3−i3−i3i3i3−i3−i30000000000
χ33222222-2-2-122-2-2-1-1-1-1-1-1-1-200002-2000000000000-2-222-2-2221111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i311-1-111-1-111-1-111-1-1-1-111-1-111−i3−i3i3i3−i3−i3i3i30000000000
χ34222222-2-2-122-2-2-1-1-1-1-1-1-1-200002-2000000000000-2-222-2-2221111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i311-1-111-1-111-1-111-1-1-1-111-1-111i3i3−i3−i3i3i3−i3−i30000000000
χ35222222-2-2-1-2-222-1-1-1-1-1-1-1-20000-22000022-2-222-2-2000000001111−i3−i3i3i3−i3−i3i3i3-1-111-1-111-1-111-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i311-1-111-1-1i3i3−i3−i3i3i3−i3−i30000000000
χ36222222-2-2-1-2-222-1-1-1-1-1-1-1-20000-22000022-2-222-2-2000000001111i3i3−i3−i3i3i3−i3−i3-1-111-1-111-1-111-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i311-1-111-1-1−i3−i3i3i3−i3−i3i3i30000000000
χ37222222-2-2-1-2-222-1-1-1-1-1-1-1-20000-220000-2-222-2-222000000001111−i3−i3i3i3−i3−i3i3i311-1-111-1-111-1-111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i311-1-111-1-1i3i3−i3−i3i3i3−i3−i30000000000
χ38222222-2-2-1-2-222-1-1-1-1-1-1-1-20000-220000-2-222-2-222000000001111i3i3−i3−i3i3i3−i3−i311-1-111-1-111-1-111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i311-1-111-1-1−i3−i3i3i3−i3−i3i3i30000000000
χ392222-2-2222222222-2-2-2-22-222-2-2-2-2-2-222000000000000000022-2-22222-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2-2-222220000000000
χ402222-2-2222222222-2-2-2-22-2-2-222-2-222-2-2000000000000000022-2-2-2-2-2-2222200000000000000000000000000000000-2-2-2-222222222-2-2-2-20000000000
χ412222-2-222-12222-1-11111-1-222-2-2-2-2-2-2220000000000000000-1-111-1-1-1-111113333−3−3−3−3−3−3−3−333333333−3−3−3−3−3−3−3−333331111-1-1-1-11111-1-1-1-10000000000
χ422222-2-222-12222-1-11111-1-222-2-2-2-2-2-2220000000000000000-1-111-1-1-1-11111−3−3−3−333333333−3−3−3−3−3−3−3−333333333−3−3−3−31111-1-1-1-11111-1-1-1-10000000000
χ432222-2-222-12222-1-11111-1-2-2-222-2-222-2-20000000000000000-1-1111111-1-1-1-13333−3−3−3−3−3−3−3−33333−3−3−3−333333333−3−3−3−31111-1-1-1-1-1-1-1-111110000000000
χ442222-2-222-12222-1-11111-1-2-2-222-2-222-2-20000000000000000-1-1111111-1-1-1-1−3−3−3−333333333−3−3−3−33333−3−3−3−3−3−3−3−333331111-1-1-1-1-1-1-1-111110000000000
χ452222-2-222-1-2-2-2-2-1-11111-1-222-2-22222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111110000000000
χ462222-2-222-1-2-2-2-2-1-11111-1-222-2-22222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111110000000000
χ472222-2-222-1-2-2-2-2-1-11111-1-2-2-22222-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-10000000000
χ482222-2-222-1-2-2-2-2-1-11111-1-2-2-22222-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-10000000000
χ492222-2-2-2-2222-2-222-2-2-2-2220000-2200002i2i−2i−2i−2i−2i2i2i00000000-2-222000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000-2-22222-2-2000000000000000000
χ502222-2-2-2-2222-2-222-2-2-2-2220000-220000−2i−2i2i2i2i2i−2i−2i00000000-2-22200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000-2-22222-2-2000000000000000000
χ512222-2-2-2-22-2-22222-2-2-2-22200002-20000000000002i2i−2i−2i−2i−2i2i2i-2-2220000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i22-2-2-2-222000000000000000000
χ522222-2-2-2-22-2-22222-2-2-2-22200002-2000000000000−2i−2i2i2i2i2i−2i−2i-2-222000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i22-2-2-2-222000000000000000000
χ532222-2-2-2-2-122-2-2-1-11111-120000-2200002i2i−2i−2i−2i−2i2i2i0000000011-1-1−i3−i3i3i3i3i3−i3−i3−i−iii−i−iiiii−i−iii−i−i33−3−3−3−333−3−33333−3−311-1-1-1-111i3i3−i3−i3−i3−i3i3i30000000000
χ542222-2-2-2-2-122-2-2-1-11111-120000-2200002i2i−2i−2i−2i−2i2i2i0000000011-1-1i3i3−i3−i3−i3−i3i3i3−i−iii−i−iiiii−i−iii−i−i−3−33333−3−333−3−3−3−33311-1-1-1-111−i3−i3i3i3i3i3−i3−i30000000000
χ552222-2-2-2-2-122-2-2-1-11111-120000-220000−2i−2i2i2i2i2i−2i−2i0000000011-1-1−i3−i3i3i3i3i3−i3−i3ii−i−iii−i−i−i−iii−i−iii−3−33333−3−333−3−3−3−33311-1-1-1-111i3i3−i3−i3−i3−i3i3i30000000000
χ562222-2-2-2-2-122-2-2-1-11111-120000-220000−2i−2i2i2i2i2i−2i−2i0000000011-1-1i3i3−i3−i3−i3−i3i3i3ii−i−iii−i−i−i−iii−i−iii33−3−3−3−333−3−33333−3−311-1-1-1-111−i3−i3i3i3i3i3−i3−i30000000000
χ572222-2-2-2-2-1-2-222-1-11111-1200002-20000000000002i2i−2i−2i−2i−2i2i2i11-1-1−i3−i3i3i3i3i3−i3−i333−3−3−3−333−3−33333−3−3−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1−i3−i3i3i3i3i3−i3−i30000000000
χ582222-2-2-2-2-1-2-222-1-11111-1200002-20000000000002i2i−2i−2i−2i−2i2i2i11-1-1i3i3−i3−i3−i3−i3i3i3−3−33333−3−333−3−3−3−333−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1i3i3−i3−i3−i3−i3i3i30000000000
χ592222-2-2-2-2-1-2-222-1-11111-1200002-2000000000000−2i−2i2i2i2i2i−2i−2i11-1-1−i3−i3i3i3i3i3−i3−i3−3−33333−3−333−3−3−3−333ii−i−iii−i−i−i−iii−i−iii-1-11111-1-1−i3−i3i3i3i3i3−i3−i30000000000
χ602222-2-2-2-2-1-2-222-1-11111-1200002-2000000000000−2i−2i2i2i2i2i−2i−2i11-1-1i3i3−i3−i3−i3−i3i3i333−3−3−3−333−3−33333−3−3ii−i−iii−i−i−i−iii−i−iii-1-11111-1-1i3i3−i3−i3−i3−i3i3i30000000000
χ612-22-2002-222i−2i2i−2i-220000-20002-2002i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2-20000002-22-21+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00002i−2i2i−2i2i−2i2i−2i00000000000000
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χ892-22-200-222−2i2i2i−2i-220000-202-2000000−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i-22002-2-2200001+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i0000−2i2i2i−2i0000−2i2i2i−2i0000000000
χ902-22-200-222−2i2i2i−2i-220000-202-2000000−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i-22002-2-220000−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i0000−2i2i2i−2i0000−2i2i2i−2i0000000000
χ912-22-200-222−2i2i2i−2i-220000-20-220000002i−2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i-2200-222-200001+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i0000−2i2i2i−2i00002i−2i−2i2i0000000000
χ922-22-200-222−2i2i2i−2i-220000-20-220000002i−2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i-2200-222-20000−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i0000−2i2i2i−2i00002i−2i−2i2i0000000000
χ932-22-200-22-12i−2i−2i2i1-1−i3−i3i3i3102-20000002i−2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1-1i3−i3-111-1−i3i3i3−i3−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ113−3−33−iii−i3−3−33−iii−i0000000000
χ942-22-200-22-12i−2i−2i2i1-1−i3−i3i3i3102-20000002i−2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1-1i3−i3-111-1−i3i3i3−i3ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ113−3−33−iii−i3−3−33−iii−i0000000000
χ952-22-200-22-12i−2i−2i2i1-1−i3−i3i3i310-22000000−2i2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1-1i3−i31-1-11i3−i3−i3i3−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ113−3−33−iii−i−333−3i−i−ii0000000000
χ962-22-200-22-12i−2i−2i2i1-1−i3−i3i3i310-22000000−2i2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1-1i3−i31-1-11i3−i3−i3i3ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ113−3−33−iii−i−333−3i−i−ii0000000000
χ972-22-200-22-12i−2i−2i2i1-1i3i3−i3−i3102-20000002i−2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1-1−i3i3-111-1i3−i3−i3i3−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−333−3−iii−i−333−3−iii−i0000000000
χ982-22-200-22-12i−2i−2i2i1-1i3i3−i3−i3102-20000002i−2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1-1−i3i3-111-1i3−i3−i3i3ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7−333−3−iii−i−333−3−iii−i0000000000
χ992-22-200-22-12i−2i−2i2i1-1i3i3−i3−i310-22000000−2i2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1-1−i3i31-1-11−i3i3i3−i3−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7−333−3−iii−i3−3−33i−i−ii0000000000
χ1002-22-200-22-12i−2i−2i2i1-1i3i3−i3−i310-22000000−2i2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1-1−i3i31-1-11−i3i3i3−i3ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−333−3−iii−i3−3−33i−i−ii0000000000
χ1012-22-200-22-1−2i2i2i−2i1-1−i3−i3i3i3102-2000000−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1-1i3−i3-111-1−i3i3i3−i3−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−333−3i−i−ii−333−3i−i−ii0000000000
χ1022-22-200-22-1−2i2i2i−2i1-1−i3−i3i3i3102-2000000−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1-1i3−i3-111-1−i3i3i3−i3ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11−333−3i−i−ii−333−3i−i−ii0000000000
χ1032-22-200-22-1−2i2i2i−2i1-1−i3−i3i3i310-220000002i−2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1-1i3−i31-1-11i3−i3−i3i3−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11−333−3i−i−ii3−3−33−iii−i0000000000
χ1042-22-200-22-1−2i2i2i−2i1-1−i3−i3i3i310-220000002i−2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1-1i3−i31-1-11i3−i3−i3i3ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−333−3i−i−ii3−3−33−iii−i0000000000
χ1052-22-200-22-1−2i2i2i−2i1-1i3i3−i3−i3102-2000000−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1-1−i3i3-111-1i3−i3−i3i3−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ73−3−33i−i−ii3−3−33i−i−ii0000000000
χ1062-22-200-22-1−2i2i2i−2i1-1i3i3−i3−i3102-2000000−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1-1−i3i3-111-1i3−i3−i3i3ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ73−3−33i−i−ii3−3−33i−i−ii0000000000
χ1072-22-200-22-1−2i2i2i−2i1-1i3i3−i3−i310-220000002i−2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1-1−i3i31-1-11−i3i3i3−i3−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ73−3−33i−i−ii−333−3−iii−i0000000000
χ1082-22-200-22-1−2i2i2i−2i1-1i3i3−i3−i310-220000002i−2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1-1−i3i31-1-11−i3i3i3−i3ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ73−3−33i−i−ii−333−3−iii−i0000000000
χ1094-4-444-40040000-4-44-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22-2000000
χ1104-4-444-40040000-4-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22-22000000
χ1114-4-44-440040000-4-4-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-22000000
χ1124-4-44-440040000-4-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-2000000
χ11388-8-80000800008-80000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-80000-40000-44−4i34i34i3−4i340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-80000-40000-444i3−4i3−4i34i340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-800-4000044-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-8800-40000444-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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