Finite Group Databasebeta

← Group #72271633

Character table — Group #72271633

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222244888888888161616161616161616161616161632323232323211112222224488888888816161616161616161616161616163232323232321111222222448888888881616161616161616161616161616323232323232
order12222222224444444444422244444444444888888366666666612121212121212121212126661212121212121212121212242424242424366666666612121212121212121212126661212121212121212121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1
χ6111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ7111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111
χ8111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111-1-11-1-11111-111-1-1-1-11-11-1-11ii−i−iii−i−i1-1i−ii−i11111-1-11-1-11111-111-1-1-1-11-11-1-11ii−i−iii−i−i1-1i−ii−i11111-1-11-1-11111-111-1-1-1-11-11-1-11ii−i−iii−i−i1-1i−ii−i
χ1011111-1-11-1-11111-111-1-1-1-11-11-1-11−i−iii−i−iii1-1−ii−ii11111-1-11-1-11111-111-1-1-1-11-11-1-11−i−iii−i−iii1-1−ii−ii11111-1-11-1-11111-111-1-1-1-11-11-1-11−i−iii−i−iii1-1−ii−ii
χ1111111-1-11-1-11111-111-1-1-1-11-1-111-1ii−i−iii−i−i-11−ii−ii11111-1-11-1-11111-111-1-1-1-11-1-111-1ii−i−iii−i−i-11−ii−ii11111-1-11-1-11111-111-1-1-1-11-1-111-1ii−i−iii−i−i-11−ii−ii
χ1211111-1-11-1-11111-111-1-1-1-11-1-111-1−i−iii−i−iii-11i−ii−i11111-1-11-1-11111-111-1-1-1-11-1-111-1−i−iii−i−iii-11i−ii−i11111-1-11-1-11111-111-1-1-1-11-1-111-1−i−iii−i−iii-11i−ii−i
χ1311111-1-11-1-11111-1-1-111-1-1-111-1-11ii−i−i−i−iii-11i−i−ii11111-1-11-1-11111-1-1-111-1-1-111-1-11ii−i−i−i−iii-11i−i−ii11111-1-11-1-11111-1-1-111-1-1-111-1-11ii−i−i−i−iii-11i−i−ii
χ1411111-1-11-1-11111-1-1-111-1-1-111-1-11−i−iiiii−i−i-11−iii−i11111-1-11-1-11111-1-1-111-1-1-111-1-11−i−iiiii−i−i-11−iii−i11111-1-11-1-11111-1-1-111-1-1-111-1-11−i−iiiii−i−i-11−iii−i
χ1511111-1-11-1-11111-1-1-111-1-1-11-111-1ii−i−i−i−iii1-1−iii−i11111-1-11-1-11111-1-1-111-1-1-11-111-1ii−i−i−i−iii1-1−iii−i11111-1-11-1-11111-1-1-111-1-1-11-111-1ii−i−i−i−iii1-1−iii−i
χ1611111-1-11-1-11111-1-1-111-1-1-11-111-1−i−iiiii−i−i1-1i−i−ii11111-1-11-1-11111-1-1-111-1-1-11-111-1−i−iiiii−i−i1-1i−i−ii11111-1-11-1-11111-1-1-111-1-1-11-111-1−i−iiiii−i−i1-1i−i−ii
χ17222222222222-2-222222-2-2-2-2000000000000000000222222222222-2-222222-2-2-2-2000000000000000000222222222222-2-222222-2-2-2-2000000000000000000
χ18222222222222-2-22-2-2-2-2-2-222000000000000000000222222222222-2-22-2-2-2-2-2-222000000000000000000222222222222-2-22-2-2-2-2-2-222000000000000000000
χ192222222222-2-22-2-200002-200000000002-22-20000002222222222-2-22-2-200002-200000000002-22-20000002222222222-2-22-2-200002-200000000002-22-2000000
χ202222222222-2-22-2-200002-20000000000-22-220000002222222222-2-22-2-200002-20000000000-22-220000002222222222-2-22-2-200002-20000000000-22-22000000
χ212222222222-2-2-22-20000-220000002-22-200000000002222222222-2-2-22-20000-220000002-22-200000000002222222222-2-2-22-20000-220000002-22-20000000000
χ222222222222-2-2-22-20000-22000000-22-2200000000002222222222-2-2-22-20000-22000000-22-2200000000002222222222-2-2-22-20000-22000000-22-220000000000
χ2322222-2-22-2-222-2-2-222-2-222-2200000000000000000022222-2-22-2-222-2-2-222-2-222-2200000000000000000022222-2-22-2-222-2-2-222-2-222-22000000000000000000
χ2422222-2-22-2-222-2-2-2-2-222222-200000000000000000022222-2-22-2-222-2-2-2-2-222222-200000000000000000022222-2-22-2-222-2-2-2-2-222222-2000000000000000000
χ2522222-2-22-2-2-2-22-220000-2200000000002i−2i−2i2i00000022222-2-22-2-2-2-22-220000-2200000000002i−2i−2i2i00000022222-2-22-2-2-2-22-220000-2200000000002i−2i−2i2i000000
χ2622222-2-22-2-2-2-22-220000-220000000000−2i2i2i−2i00000022222-2-22-2-2-2-22-220000-220000000000−2i2i2i−2i00000022222-2-22-2-2-2-22-220000-220000000000−2i2i2i−2i000000
χ2722222-2-22-2-2-2-2-22200002-20000002i−2i−2i2i000000000022222-2-22-2-2-2-2-22200002-20000002i−2i−2i2i000000000022222-2-22-2-2-2-2-22200002-20000002i−2i−2i2i0000000000
χ2822222-2-22-2-2-2-2-22200002-2000000−2i2i2i−2i000000000022222-2-22-2-2-2-2-22200002-2000000−2i2i2i−2i000000000022222-2-22-2-2-2-2-22200002-2000000−2i2i2i−2i0000000000
χ294444-44-4-44-4000000000000022-2-2000000000000004444-44-4-44-4000000000000022-2-2000000000000004444-44-4-44-4000000000000022-2-200000000000000
χ304444-44-4-44-40000000000000-2-222000000000000004444-44-4-44-40000000000000-2-222000000000000004444-44-4-44-40000000000000-2-22200000000000000
χ314444-4-44-4-4400000000000002-22-2000000000000004444-4-44-4-4400000000000002-22-2000000000000004444-4-44-4-4400000000000002-22-200000000000000
χ324444-4-44-4-440000000000000-22-22000000000000004444-4-44-4-440000000000000-22-22000000000000004444-4-44-4-440000000000000-22-2200000000000000
χ334-4-44-4004004-4000004-400000000000000000000004-4-44-4004004-4000004-400000000000000000000004-4-44-4004004-4000004-40000000000000000000000
χ344-4-44-4004004-400000-4400000000000000000000004-4-44-4004004-400000-4400000000000000000000004-4-44-4004004-400000-440000000000000000000000
χ354-4-44-400400-440004-40000000000000000000000004-4-44-400400-440004-40000000000000000000000004-4-44-400400-440004-4000000000000000000000000
χ364-4-44-400400-44000-440000000000000000000000004-4-44-400400-44000-440000000000000000000000004-4-44-400400-44000-44000000000000000000000000
χ3788-8-800800-8000000000000000000000000000000088-8-800800-8000000000000000000000000000000088-8-800800-80000000000000000000000000000000
χ3888-8-800-8008000000000000000000000000000000088-8-800-8008000000000000000000000000000000088-8-800-80080000000000000000000000000000000
χ398-88-80800-8000000000000000000000000000000008-88-80800-8000000000000000000000000000000008-88-80800-800000000000000000000000000000000
χ408-88-80-8008000000000000000000000000000000008-88-80-8008000000000000000000000000000000008-88-80-800800000000000000000000000000000000
χ418-8-88800-80000000000000000000000000000000008-8-88800-80000000000000000000000000000000008-8-88800-8000000000000000000000000000000000
χ4211111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32
χ43111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1−1+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+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−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ4411111111111111111111111-1-1-1-111111111-1-1-1-1-1-1−1+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+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+i321−i321−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−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−i321+i321+i321+i321+i321+i321+i32
χ4511111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−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−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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ46111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ47111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ48111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ49111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ5011111-1-11-1-11111-111-1-1-1-11-11-1-11ii−i−iii−i−i1-1i−ii−i−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11
χ5111111-1-11-1-11111-111-1-1-1-11-11-1-11−i−iii−i−iii1-1−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11
χ5211111-1-11-1-11111-111-1-1-1-11-1-111-1ii−i−iii−i−i-11−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−ζ11ζ11
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χ87111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ88111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ89111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ90111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ9111111-1-11-1-11111-111-1-1-1-11-11-1-11ii−i−iii−i−i1-1i−ii−i−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7
χ9211111-1-11-1-11111-111-1-1-1-11-11-1-11−i−iii−i−iii1-1−ii−ii−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7
χ9311111-1-11-1-11111-111-1-1-1-11-1-111-1ii−i−iii−i−i-11−ii−ii−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−ζ7ζ7
χ9411111-1-11-1-11111-111-1-1-1-11-1-111-1−i−iii−i−iii-11i−ii−i−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7ζ7−ζ7
χ9511111-1-11-1-11111-1-1-111-1-1-111-1-11ii−i−i−i−iii-11i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7
χ9611111-1-11-1-11111-1-1-111-1-1-111-1-11−i−iiiii−i−i-11−iii−i−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7
χ9711111-1-11-1-11111-1-1-111-1-1-11-111-1ii−i−i−i−iii1-1−iii−i−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7ζ7−ζ7
χ9811111-1-11-1-11111-1-1-111-1-1-11-111-1−i−iiiii−i−i1-1i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−ζ7ζ7
χ99222222222222-2-222222-2-2-2-2000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000000000
χ100222222222222-2-22-2-2-2-2-2-222000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000000000000
χ1012222222222-2-22-2-200002-200000000002-22-2000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i31+i30000000000−1−i31+i3−1−i31+i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i31−i30000000000−1+i31−i3−1+i31−i3000000
χ1022222222222-2-22-2-200002-20000000000-22-22000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i31+i300000000001+i3−1−i31+i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i31−i300000000001−i3−1+i31−i3−1+i3000000
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χ10622222-2-22-2-222-2-2-2-2-222222-2000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3000000000000000000
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χ10822222-2-22-2-2-2-22-220000-220000000000−2i2i2i−2i000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i300001+i3−1−i30000000000−2ζ112ζ112ζ11−2ζ11000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i300001−i3−1+i30000000000−2ζ72ζ72ζ7−2ζ7000000
χ10922222-2-22-2-2-2-2-22200002-20000002i−2i−2i2i0000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i30000−1−i31+i30000002ζ11−2ζ11−2ζ112ζ110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i30000−1+i31−i30000002ζ7−2ζ7−2ζ72ζ70000000000
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χ1114444-44-4-44-4000000000000022-2-200000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i30000000000000−1−i3−1−i31+i31+i300000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i30000000000000−1+i3−1+i31−i31−i300000000000000
χ1124444-44-4-44-40000000000000-2-22200000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i300000000000001+i31+i3−1−i3−1−i300000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i300000000000001−i31−i3−1+i3−1+i300000000000000
χ1134444-4-44-4-4400000000000002-22-200000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i30000000000000−1−i31+i3−1−i31+i300000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i30000000000000−1+i31−i3−1+i31−i300000000000000
χ1144444-4-44-4-440000000000000-22-2200000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i300000000000001+i3−1−i31+i3−1−i300000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i300000000000001−i3−1+i31−i3−1+i300000000000000
χ1154-4-44-4004004-4000004-40000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i300−2−2i300−2−2i32+2i300000−2−2i32+2i30000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i300−2+2i300−2+2i32−2i300000−2+2i32−2i30000000000000000000000
χ1164-4-44-4004004-400000-440000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i300−2−2i300−2−2i32+2i3000002+2i3−2−2i30000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i300−2+2i300−2+2i32−2i3000002−2i3−2+2i30000000000000000000000
χ1174-4-44-400400-440004-4000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i300−2−2i3002+2i3−2−2i3000−2−2i32+2i3000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i300−2+2i3002−2i3−2+2i3000−2+2i32−2i3000000000000000000000000
χ1184-4-44-400400-44000-44000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i300−2−2i3002+2i3−2−2i30002+2i3−2−2i3000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i300−2+2i3002−2i3−2+2i30002−2i3−2+2i3000000000000000000000000
χ11988-8-800800-80000000000000000000000000000000−4−4i3−4−4i34+4i34+4i300−4−4i3004+4i30000000000000000000000000000000−4+4i3−4+4i34−4i34−4i300−4+4i3004−4i30000000000000000000000000000000
χ12088-8-800-80080000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3004+4i300−4−4i30000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3004−4i300−4+4i30000000000000000000000000000000
χ1218-88-80800-800000000000000000000000000000000−4−4i34+4i3−4−4i34+4i30−4−4i3004+4i300000000000000000000000000000000−4+4i34−4i3−4+4i34−4i30−4+4i3004−4i300000000000000000000000000000000
χ1228-88-80-800800000000000000000000000000000000−4−4i34+4i3−4−4i34+4i304+4i300−4−4i300000000000000000000000000000000−4+4i34−4i3−4+4i34−4i304−4i300−4+4i300000000000000000000000000000000
χ1238-8-88800-8000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i3−4−4i3004+4i3000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i3−4+4i3004−4i3000000000000000000000000000000000

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