Finite Group Databasebeta

← Group #11796495

Character table — Group #11796495

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112223344444468888888888121212121216161616162424242424112223344444468888888888121212121216161616162424242424112223344444468888888888121212121216161616162424242424
order12236444444464488881212121212222441224242424288883663612121212121212612122424242412121212126661212122424242462424242436636121212121212126121224242424121212121266612121224242424624242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-111111111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-111111111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-111111111111-1-1-1-11-1-1-1-1
χ31111111111-1-111-1ii−i−i111-1-11-1-111-1ii−i−i-1ii−i−i1111111111-1-111-1ii−i−i111-1-11-1-111-1ii−i−i-1ii−i−i1111111111-1-111-1ii−i−i111-1-11-1-111-1ii−i−i-1ii−i−i
χ41111111111-1-111-1−i−iii111-1-11-1-111-1−i−iii-1−i−iii1111111111-1-111-1−i−iii111-1-11-1-111-1−i−iii-1−i−iii1111111111-1-111-1−i−iii111-1-11-1-111-1−i−iii-1−i−iii
χ511111111-1-11111-11-11-11-1-111111-1-1-11-11-1-11-11-111111111-1-11111-11-11-11-1-111111-1-1-11-11-1-11-11-111111111-1-11111-11-11-11-1-111111-1-1-11-11-1-11-11-1
χ611111111-1-11111-1-11-111-1-111111-1-1-1-11-11-1-11-1111111111-1-11111-1-11-111-1-111111-1-1-1-11-11-1-11-1111111111-1-11111-1-11-111-1-111111-1-1-1-11-11-1-11-11
χ711111111-1-1-1-1111i−i−ii1-1-1-1-11-1-1-1-11i−i−ii1i−i−ii11111111-1-1-1-1111i−i−ii1-1-1-1-11-1-1-1-11i−i−ii1i−i−ii11111111-1-1-1-1111i−i−ii1-1-1-1-11-1-1-1-11i−i−ii1i−i−ii
χ811111111-1-1-1-1111−iii−i1-1-1-1-11-1-1-1-11−iii−i1−iii−i11111111-1-1-1-1111−iii−i1-1-1-1-11-1-1-1-11−iii−i1−iii−i11111111-1-1-1-1111−iii−i1-1-1-1-11-1-1-1-11−iii−i1−iii−i
χ911111-1-1111111-11111111111-1-1-1-1-111111-1-1-1-1-111111-1-1111111-11111111111-1-1-1-1-111111-1-1-1-1-111111-1-1111111-11111111111-1-1-1-1-111111-1-1-1-1-1
χ1011111-1-1111111-11-1-1-1-111111-1-1-1-1-11-1-1-1-1-1111111111-1-1111111-11-1-1-1-111111-1-1-1-1-11-1-1-1-1-1111111111-1-1111111-11-1-1-1-111111-1-1-1-1-11-1-1-1-1-11111
χ1111111-1-1111-1-11-1-1ii−i−i111-1-1-111-1-1-1ii−i−i1−i−iii11111-1-1111-1-11-1-1ii−i−i111-1-1-111-1-1-1ii−i−i1−i−iii11111-1-1111-1-11-1-1ii−i−i111-1-1-111-1-1-1ii−i−i1−i−iii
χ1211111-1-1111-1-11-1-1−i−iii111-1-1-111-1-1-1−i−iii1ii−i−i11111-1-1111-1-11-1-1−i−iii111-1-1-111-1-1-1−i−iii1ii−i−i11111-1-1111-1-11-1-1−i−iii111-1-1-111-1-1-1−i−iii1ii−i−i
χ1311111-1-11-1-1111-1-11-11-11-1-111-1-1-111-11-11-11-11-1111111-1-11-1-1111-1-11-11-11-1-111-1-1-111-11-11-11-11-1111111-1-11-1-1111-1-11-11-11-1-111-1-1-111-11-11-11-11-11
χ1411111-1-11-1-1111-1-1-11-111-1-111-1-1-111-1-11-1111-11-111111-1-11-1-1111-1-1-11-111-1-111-1-1-111-1-11-1111-11-111111-1-11-1-1111-1-1-11-111-1-111-1-1-111-1-11-1111-11-1
χ1511111-1-11-1-1-1-11-11i−i−ii1-1-1-1-1-111111i−i−ii-1−iii−i11111-1-11-1-1-1-11-11i−i−ii1-1-1-1-1-111111i−i−ii-1−iii−i11111-1-11-1-1-1-11-11i−i−ii1-1-1-1-1-111111i−i−ii-1−iii−i
χ1611111-1-11-1-1-1-11-11−iii−i1-1-1-1-1-111111−iii−i-1i−i−ii11111-1-11-1-1-1-11-11−iii−i1-1-1-1-1-111111−iii−i-1i−i−ii11111-1-11-1-1-1-11-11−iii−i1-1-1-1-1-111111−iii−i-1i−i−ii
χ172222222-2002-22200000-2002-2-22-20000000000002222222-2002-22200000-2002-2-22-20000000000002222222-2002-22200000-2002-2-22-2000000000000
χ182222222-200-222200000-200-22-2-220000000000002222222-200-222200000-200-22-2-220000000000002222222-200-222200000-200-22-2-22000000000000
χ1922222-2-2-2002-22-200000-2002-22-2200000000000022222-2-2-2002-22-200000-2002-22-2200000000000022222-2-2-2002-22-200000-2002-22-22000000000000
χ2022222-2-2-200-222-200000-200-2222-200000000000022222-2-2-200-222-200000-200-2222-200000000000022222-2-2-200-222-200000-200-2222-2000000000000
χ21222-1-10022222-1022222-1-1-1-1-100000-1-1-1-1-100000222-1-10022222-1022222-1-1-1-1-100000-1-1-1-1-100000222-1-10022222-1022222-1-1-1-1-100000-1-1-1-1-100000
χ22222-1-10022222-102-2-2-2-2-1-1-1-1-100000-1111100000222-1-10022222-102-2-2-2-2-1-1-1-1-100000-1111100000222-1-10022222-102-2-2-2-2-1-1-1-1-100000-1111100000
χ23222-1-100222-2-2-10-22i2i−2i−2i-1-1-111000001−i−iii00000222-1-100222-2-2-10-22i2i−2i−2i-1-1-111000001−i−iii00000222-1-100222-2-2-10-22i2i−2i−2i-1-1-111000001−i−iii00000
χ24222-1-100222-2-2-10-2−2i−2i2i2i-1-1-111000001ii−i−i00000222-1-100222-2-2-10-2−2i−2i2i2i-1-1-111000001ii−i−i00000222-1-100222-2-2-10-2−2i−2i2i2i-1-1-111000001ii−i−i00000
χ25222-1-1002-2-222-10-22-22-2-111-1-1000001-11-1100000222-1-1002-2-222-10-22-22-2-111-1-1000001-11-1100000222-1-1002-2-222-10-22-22-2-111-1-1000001-11-1100000
χ26222-1-1002-2-222-10-2-22-22-111-1-10000011-11-100000222-1-1002-2-222-10-2-22-22-111-1-10000011-11-100000222-1-1002-2-222-10-2-22-22-111-1-10000011-11-100000
χ27222-1-1002-2-2-2-2-1022i−2i−2i2i-1111100000-1−iii−i00000222-1-1002-2-2-2-2-1022i−2i−2i2i-1111100000-1−iii−i00000222-1-1002-2-2-2-2-1022i−2i−2i2i-1111100000-1−iii−i00000
χ28222-1-1002-2-2-2-2-102−2i2i2i−2i-1111100000-1i−i−ii00000222-1-1002-2-2-2-2-102−2i2i2i−2i-1111100000-1i−i−ii00000222-1-1002-2-2-2-2-102−2i2i2i−2i-1111100000-1i−i−ii00000
χ29444-2-200-4004-4-2000000200-22000000000000000444-2-200-4004-4-2000000200-22000000000000000444-2-200-4004-4-2000000200-22000000000000000
χ30444-2-200-400-44-20000002002-2000000000000000444-2-200-400-44-20000002002-2000000000000000444-2-200-400-44-20000002002-2000000000000000
χ3144-4444400000-4-4000000000000000000000000044-4444400000-4-4000000000000000000000000044-4444400000-4-40000000000000000000000000
χ3244-444-4-400000-44000000000000000000000000044-444-4-400000-44000000000000000000000000044-444-4-400000-440000000000000000000000000
χ334-404-44i−4i02-200000000002-2000002i−2i00000000004-404-44i−4i02-200000000002-2000002i−2i00000000004-404-44i−4i02-200000000002-2000002i−2i0000000000
χ344-404-44i−4i0-220000000000-2200000−2i2i00000000004-404-44i−4i0-220000000000-2200000−2i2i00000000004-404-44i−4i0-220000000000-2200000−2i2i0000000000
χ354-404-4−4i4i02-200000000002-200000−2i2i00000000004-404-4−4i4i02-200000000002-200000−2i2i00000000004-404-4−4i4i02-200000000002-200000−2i2i0000000000
χ364-404-4−4i4i0-220000000000-22000002i−2i00000000004-404-4−4i4i0-220000000000-22000002i−2i00000000004-404-4−4i4i0-220000000000-22000002i−2i0000000000
χ3788-8-4-4000000040000000000000000000000000088-8-4-4000000040000000000000000000000000088-8-4-40000000400000000000000000000000000
χ388-80-440004-40000000000-22000000000000000008-80-440004-40000000000-22000000000000000008-80-440004-40000000000-2200000000000000000
χ398-80-44000-4400000000002-2000000000000000008-80-44000-4400000000002-2000000000000000008-80-44000-4400000000002-200000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111111111111-1-1-1-111111111111-1-1-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32
χ421111111111-1-111-1ii−i−i111-1-11-1-111-1ii−i−i-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32ζ11ζ11−ζ11−ζ11
χ431111111111-1-111-1−i−iii111-1-11-1-111-1−i−iii-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−ζ11−ζ11ζ11ζ11
χ4411111111-1-11111-11-11-11-1-111111-1-1-11-11-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ4511111111-1-11111-1-11-111-1-111111-1-1-1-11-11-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ4611111111-1-1-1-1111i−i−ii1-1-1-1-11-1-1-1-11i−i−ii1i−i−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32ζ11−ζ11−ζ11ζ11
χ4711111111-1-1-1-1111−iii−i1-1-1-1-11-1-1-1-11−iii−i1−iii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−ζ11ζ11ζ11−ζ11
χ4811111-1-1111111-11111111111-1-1-1-1-111111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ4911111-1-1111111-11-1-1-1-111111-1-1-1-1-11-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ5011111-1-1111-1-11-1-1ii−i−i111-1-1-111-1-1-1ii−i−i1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−ζ11−ζ11ζ11ζ11
χ5111111-1-1111-1-11-1-1−i−iii111-1-1-111-1-1-1−i−iii1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32ζ11ζ11−ζ11−ζ11
χ5211111-1-11-1-1111-1-11-11-11-1-111-1-1-111-11-11-11-11-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ5311111-1-11-1-1111-1-1-11-111-1-111-1-1-111-1-11-1111-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ5411111-1-11-1-1-1-11-11i−i−ii1-1-1-1-1-111111i−i−ii-1−iii−i−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7ζ71−i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11ζ111+i32−ζ11ζ11ζ11−ζ11
χ5511111-1-11-1-1-1-11-11−iii−i1-1-1-1-1-111111−iii−i-1i−i−ii−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i32ζ11−ζ11−ζ11ζ11
χ562222222-2002-22200000-2002-2-22-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i300−1+i31−i3−1+i3−1+i3000001−i300−1+i31−i31−i3−1+i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i300−1−i31+i3−1−i3−1−i3000001+i300−1−i31+i31+i3−1−i31+i3000000000000
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χ5822222-2-2-2002-22-200000-2002-22-22000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300−1+i31−i3−1+i31−i3000001−i300−1+i31−i3−1+i31−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300−1−i31+i3−1−i31+i3000001+i300−1−i31+i3−1−i31+i3−1−i3000000000000
χ5922222-2-2-200-222-200000-200-2222-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3001−i3−1+i3−1+i31−i3000001−i3001−i3−1+i3−1+i3−1+i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3001+i3−1−i3−1−i31+i3000001+i3001+i3−1−i3−1−i3−1−i31+i3000000000000
χ60222-1-10022222-1022222-1-1-1-1-100000-1-1-1-1-100000−1+i3−1+i3−1+i31−i321−i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i320−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32000001−i321−i321−i321−i321−i3200000−1−i3−1−i3−1−i31+i321+i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i320−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32000001+i321+i321+i321+i321+i3200000
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χ64222-1-1002-2-222-10-22-22-2-111-1-1000001-11-1100000−1+i3−1+i3−1+i31−i321−i3200−1+i31−i31−i3−1+i3−1+i31−i3201−i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i321−i3200000−1+i321−i32−1+i321−i32−1+i3200000−1−i3−1−i3−1−i31+i321+i3200−1−i31+i31+i3−1−i3−1−i31+i3201+i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i321+i3200000−1−i321+i32−1−i321+i32−1−i3200000
χ65222-1-1002-2-222-10-2-22-22-111-1-10000011-11-100000−1+i3−1+i3−1+i31−i321−i3200−1+i31−i31−i3−1+i3−1+i31−i3201−i31−i3−1+i31−i3−1+i31−i32−1+i32−1+i321−i321−i3200000−1+i32−1+i321−i32−1+i321−i3200000−1−i3−1−i3−1−i31+i321+i3200−1−i31+i31+i3−1−i3−1−i31+i3201+i31+i3−1−i31+i3−1−i31+i32−1−i32−1−i321+i321+i3200000−1−i32−1−i321+i32−1−i321+i3200000
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χ67222-1-1002-2-2-2-2-102−2i2i2i−2i-1111100000-1i−i−ii00000−1+i3−1+i3−1+i31−i321−i3200−1+i31−i31−i31−i31−i31−i320−1+i3−2ζ72ζ72ζ7−2ζ71−i32−1+i32−1+i32−1+i32−1+i32000001−i32ζ7−ζ7−ζ7ζ700000−1−i3−1−i3−1−i31+i321+i3200−1−i31+i31+i31+i31+i31+i320−1−i3−2ζ112ζ112ζ11−2ζ111+i32−1−i32−1−i32−1−i32−1−i32000001+i32ζ11−ζ11−ζ11ζ1100000
χ68444-2-200-4004-4-2000000200-22000000000000000−2+2i3−2+2i3−2+2i31−i31−i3002−2i300−2+2i32−2i31−i3000000−1+i3001−i3−1+i3000000000000000−2−2i3−2−2i3−2−2i31+i31+i3002+2i300−2−2i32+2i31+i3000000−1−i3001+i3−1−i3000000000000000
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χ7044-4444400000-4-40000000000000000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i3000002−2i32−2i30000000000000000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i3000002+2i32+2i30000000000000000000000000
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χ8311111111-1-11111-11-11-11-1-111111-1-1-11-11-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ8411111111-1-11111-1-11-111-1-111111-1-1-1-11-11-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ8511111111-1-1-1-1111i−i−ii1-1-1-1-11-1-1-1-11i−i−ii1i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32ζ7−ζ7−ζ7ζ7
χ8611111111-1-1-1-1111−iii−i1-1-1-1-11-1-1-1-11−iii−i1−iii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−ζ7ζ7ζ7−ζ7
χ8711111-1-1111111-11111111111-1-1-1-1-111111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ8811111-1-1111111-11-1-1-1-111111-1-1-1-1-11-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ8911111-1-1111-1-11-1-1ii−i−i111-1-1-111-1-1-1ii−i−i1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−ζ7−ζ7ζ7ζ7
χ9011111-1-1111-1-11-1-1−i−iii111-1-1-111-1-1-1−i−iii1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32ζ7ζ7−ζ7−ζ7
χ9111111-1-11-1-1111-1-11-11-11-1-111-1-1-111-11-11-11-11-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ9211111-1-11-1-1111-1-1-11-111-1-111-1-1-111-1-11-1111-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ9311111-1-11-1-1-1-11-11i−i−ii1-1-1-1-1-111111i−i−ii-1−iii−i−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11ζ111+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7ζ71−i32−ζ7ζ7ζ7−ζ7
χ9411111-1-11-1-1-1-11-11−iii−i1-1-1-1-1-111111−iii−i-1i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i32ζ7−ζ7−ζ7ζ7
χ952222222-2002-22200000-2002-2-22-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i300−1−i31+i3−1−i3−1−i3000001+i300−1−i31+i31+i3−1−i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i300−1+i31−i3−1+i3−1+i3000001−i300−1+i31−i31−i3−1+i31−i3000000000000
χ962222222-200-222200000-200-22-2-22000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i3−1−i3−1−i3−1−i3000001+i3001+i3−1−i31+i31+i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i3−1+i3−1+i3−1+i3000001−i3001−i3−1+i31−i31−i3−1+i3000000000000
χ9722222-2-2-2002-22-200000-2002-22-22000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300−1−i31+i3−1−i31+i3000001+i300−1−i31+i3−1−i31+i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300−1+i31−i3−1+i31−i3000001−i300−1+i31−i3−1+i31−i3−1+i3000000000000
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χ99222-1-10022222-1022222-1-1-1-1-100000-1-1-1-1-100000−1−i3−1−i3−1−i31+i321+i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i320−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32000001+i321+i321+i321+i321+i3200000−1+i3−1+i3−1+i31−i321−i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i320−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32000001−i321−i321−i321−i321−i3200000
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χ1124-404-44i−4i0-220000000000-2200000−2i2i0000000000−2−2i32+2i30−2−2i32+2i34ζ11−4ζ1101+i3−1−i300000000001+i3−1−i300000−2ζ112ζ110000000000−2+2i32−2i30−2+2i32−2i34ζ7−4ζ701−i3−1+i300000000001−i3−1+i300000−2ζ72ζ70000000000
χ1134-404-4−4i4i02-200000000002-200000−2i2i0000000000−2−2i32+2i30−2−2i32+2i3−4ζ114ζ110−1−i31+i30000000000−1−i31+i300000−2ζ112ζ110000000000−2+2i32−2i30−2+2i32−2i3−4ζ74ζ70−1+i31−i30000000000−1+i31−i300000−2ζ72ζ70000000000
χ1144-404-4−4i4i0-220000000000-22000002i−2i0000000000−2−2i32+2i30−2−2i32+2i3−4ζ114ζ1101+i3−1−i300000000001+i3−1−i3000002ζ11−2ζ110000000000−2+2i32−2i30−2+2i32−2i3−4ζ74ζ701−i3−1+i300000000001−i3−1+i3000002ζ7−2ζ70000000000
χ11588-8-4-40000000400000000000000000000000000−4−4i3−4−4i34+4i32+2i32+2i30000000−2−2i300000000000000000000000000−4+4i3−4+4i34−4i32−2i32−2i30000000−2+2i300000000000000000000000000
χ1168-80-440004-40000000000-2200000000000000000−4−4i34+4i302+2i3−2−2i3000−2−2i32+2i300000000001+i3−1−i300000000000000000−4+4i34−4i302−2i3−2+2i3000−2+2i32−2i300000000001−i3−1+i300000000000000000
χ1178-80-44000-4400000000002-200000000000000000−4−4i34+4i302+2i3−2−2i30002+2i3−2−2i30000000000−1−i31+i300000000000000000−4+4i34−4i302−2i3−2+2i30002−2i3−2+2i30000000000−1+i31−i300000000000000000

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