Finite Group Databasebeta

← Group #72322120

Character table — Group #72322120

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size112222222222222444444444444444448888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161664646464646464646464646464646464
order12222444488161616164444888888816161616161616161616323232323232323232323232323232328888161616163232323232323232646464646464646464646464646464646464646464646464646464646464646424444488888816161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1
χ9111111111111111-1-1-1-111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ10111111111111111-1-1-1-111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ11111111111111111-1-1-1-111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ12111111111111111-1-1-1-111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ13111111111111111-1-1-1-111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iii−i−iii
χ14111111111111111-1-1-1-111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111ii−i−iii−i−i
χ15111111111111111-1-1-1-111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ16111111111111111-1-1-1-111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ18222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ19222222222222222-2-2-2-222-2-22-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222222i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ20222222222222222-2-2-2-222-2-22-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-22222−2i−2i2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ2122222222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000000000000
χ2222222222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000000000000
χ2322222222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−222220000000000000000
χ2422222222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−20000000000000000
χ2522222222222-2-2-2-2-2-2-2-222-2-22-2-2-2-2-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i000000002222−2−2−2−2−2−2−2−22222i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ2622222222222-2-2-2-2-2-2-2-222-2-22-2-2-2-2-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i00000000−2−2−2−222222222−2−2−2−2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ2722222222222-2-2-2-2-2-2-2-222-2-22-2-2-2-2-2-2-2-222220000000000000000−2i−2i2i2i2i2i−2i−2i000000002222−2−2−2−2−2−2−2−22222−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ2822222222222-2-2-2-2-2-2-2-222-2-22-2-2-2-2-2-2-2-222220000000000000000−2i−2i2i2i2i2i−2i−2i00000000−2−2−2−222222222−2−2−2−2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ29222-2-2-22-222222222i−2i2i−2i2-22i−2i-22i−2i-2-222-2-22i−2i2i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i0000000000000000000000000000000000000000000000000000000000002ζ6−2ζ62ζ2−2ζ2
χ30222-2-2-22-222222222i−2i2i−2i2-22i−2i-22i−2i-2-222-2-22i−2i2i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i000000000000000000000000000000000000000000000000000000000000−2ζ62ζ6−2ζ22ζ2
χ31222-2-2-22-222222222i−2i2i−2i2-22i−2i-22i−2i-2-222-2-22i−2i2i−2i-2-222−2i−2i2i2i-2-222−2i−2i2i2i000000000000000000000000000000000000000000000000002i−2i002-200000000
χ32222-2-2-22-222222222i−2i2i−2i2-22i−2i-22i−2i-2-222-2-22i−2i2i−2i-2-222−2i−2i2i2i-2-222−2i−2i2i2i00000000000000000000000000000000000000000000000000−2i2i00-2200000000
χ33222-2-2-22-22222222−2i2i−2i2i2-2−2i2i-2−2i2i-2-222-2-2−2i2i−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000002ζ2−2ζ22ζ6−2ζ6
χ34222-2-2-22-22222222−2i2i−2i2i2-2−2i2i-2−2i2i-2-222-2-2−2i2i−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000−2ζ22ζ2−2ζ62ζ6
χ35222-2-2-22-22222222−2i2i−2i2i2-2−2i2i-2−2i2i-2-222-2-2−2i2i−2i2i-2-2222i2i−2i−2i-2-2222i2i−2i−2i000000000000000000000000000000000000000000000000002i−2i00-2200000000
χ36222-2-2-22-22222222−2i2i−2i2i2-2−2i2i-2−2i2i-2-222-2-2−2i2i−2i2i-2-2222i2i−2i−2i-2-2222i2i−2i−2i00000000000000000000000000000000000000000000000000−2i2i002-200000000
χ37222-2-2-22-22-2-200002i−2i2i−2i-22−2i2i2−2i2i00000000002−22−2i2−i2i2−i22−22−2i2−i2i2−i200002ζ6−2ζ62ζ2−2ζ21−i1−i−1+i−1+i1+i1+i−1−i−1−iζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ30000000000000000
χ38222-2-2-22-22-2-200002i−2i2i−2i-22−2i2i2−2i2i00000000002−22−2i2−i2i2−i22−22−2i2−i2i2−i200002ζ6−2ζ62ζ2−2ζ21−i1−i−1+i−1+i1+i1+i−1−i−1−i−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ30000000000000000
χ39222-2-2-22-22-2-200002i−2i2i−2i-22−2i2i2−2i2i00000000002−22−2i2−i2i2−i22−22−2i2−i2i2−i20000−2ζ62ζ6−2ζ22ζ2−1+i−1+i1−i1−i−1−i−1−i1+i1+iζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ30000000000000000
χ40222-2-2-22-22-2-200002i−2i2i−2i-22−2i2i2−2i2i00000000002−22−2i2−i2i2−i22−22−2i2−i2i2−i20000−2ζ62ζ6−2ζ22ζ2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ30000000000000000
χ41222-2-2-22-22-2-200002i−2i2i−2i-22−2i2i2−2i2i0000000000−22−22−i2i2−i2i2−22−22−i2i2−i2i200002ζ6−2ζ62ζ2−2ζ2−1+i−1+i1−i1−i−1−i−1−i1+i1+iζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ42222-2-2-22-22-2-200002i−2i2i−2i-22−2i2i2−2i2i0000000000−22−22−i2i2−i2i2−22−22−i2i2−i2i200002ζ6−2ζ62ζ2−2ζ2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ43222-2-2-22-22-2-200002i−2i2i−2i-22−2i2i2−2i2i0000000000−22−22−i2i2−i2i2−22−22−i2i2−i2i20000−2ζ62ζ6−2ζ22ζ21−i1−i−1+i−1+i1+i1+i−1−i−1−iζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ44222-2-2-22-22-2-200002i−2i2i−2i-22−2i2i2−2i2i0000000000−22−22−i2i2−i2i2−22−22−i2i2−i2i20000−2ζ62ζ6−2ζ22ζ21−i1−i−1+i−1+i1+i1+i−1−i−1−i−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ45222-2-2-22-22-2-20000−2i2i−2i2i-222i−2i22i−2i00000000002−22−2−i2i2−i2i22−22−2−i2i2−i2i200002ζ2−2ζ22ζ6−2ζ6−1−i−1−i1+i1+i−1+i−1+i1−i1−iζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ46222-2-2-22-22-2-20000−2i2i−2i2i-222i−2i22i−2i00000000002−22−2−i2i2−i2i22−22−2−i2i2−i2i200002ζ2−2ζ22ζ6−2ζ6−1−i−1−i1+i1+i−1+i−1+i1−i1−i−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ47222-2-2-22-22-2-20000−2i2i−2i2i-222i−2i22i−2i00000000002−22−2−i2i2−i2i22−22−2−i2i2−i2i20000−2ζ22ζ2−2ζ62ζ61+i1+i−1−i−1−i1−i1−i−1+i−1+iζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ48222-2-2-22-22-2-20000−2i2i−2i2i-222i−2i22i−2i00000000002−22−2−i2i2−i2i22−22−2−i2i2−i2i20000−2ζ22ζ2−2ζ62ζ61+i1+i−1−i−1−i1−i1−i−1+i−1+i−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ49222-2-2-22-22-2-20000−2i2i−2i2i-222i−2i22i−2i0000000000−22−22i2−i2i2−i2−22−22i2−i2i2−i200002ζ2−2ζ22ζ6−2ζ61+i1+i−1−i−1−i1−i1−i−1+i−1+iζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ30000000000000000
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χ107888-8-88-88-8004242−42−4200000000000−424242−42−4242000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ108888-8-88-88-800−42−4242420000000000042−42−424242−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-88-8-8-888004242−42−4200000000000−4242−424242−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-88-8-8-88800−42−4242420000000000042−4242−42−4242000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-888-8-88004242−42−420000000000042−42−4242−4242000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-888-8-8800−42−42424200000000000−424242−4242−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11316-16000000082−828ζ+8ζ7−8ζ−8ζ78ζ3+8ζ5−8ζ3−8ζ500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-16000000082−82−8ζ−8ζ78ζ+8ζ7−8ζ3−8ζ58ζ3+8ζ500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-160000000−82828ζ3+8ζ5−8ζ3−8ζ5−8ζ−8ζ78ζ+8ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-160000000−8282−8ζ3−8ζ58ζ3+8ζ58ζ+8ζ7−8ζ−8ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.