Finite Group Databasebeta

← Group #72260782

Character table — Group #72260782

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size113344444412121212121212121212121212122424242424242424242424242464646464646464646464646464646464113344444412121212121212121212121212122424242424242424242424242464646464646464646464646464646464
order12222244442222224444444422444444444443366666612121212121212122222224444222222444444442244444444444666666661212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ31111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ4111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ5111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ6111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ71111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-1-111-1-111-1-1-1-11111-1-111-1-1
χ81111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ91111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ101111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-111-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ111111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ121111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ132-22-22-22i−2i2i−2i2-200002-2002i−2i2i−2i0000000000000-1-11-11-111i−ii−ii−ii−i2-22-22-22i−2i2i−2i2-200002-2002i−2i2i−2i0000000000000-1-11-11-111i−ii−ii−ii−i
χ142-22-22-22i−2i2i−2i2-200002-2002i−2i2i−2i00000000000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ72-22-22-22i−2i2i−2i2-200002-2002i−2i2i−2i00000000000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ152-22-22-22i−2i2i−2i2-200002-2002i−2i2i−2i00000000000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ112-22-22-22i−2i2i−2i2-200002-2002i−2i2i−2i00000000000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ162-22-22-2−2i2i−2i2i2-200002-200−2i2i−2i2i0000000000000-1-11-11-111−ii−ii−ii−ii2-22-22-2−2i2i−2i2i2-200002-200−2i2i−2i2i0000000000000-1-11-11-111−ii−ii−ii−ii
χ172-22-22-2−2i2i−2i2i2-200002-200−2i2i−2i2i00000000000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ72-22-22-2−2i2i−2i2i2-200002-200−2i2i−2i2i00000000000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ182-22-22-2−2i2i−2i2i2-200002-200−2i2i−2i2i00000000000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ112-22-22-2−2i2i−2i2i2-200002-200−2i2i−2i2i00000000000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ192-22-2-222i−2i−2i2i-2200002-2002i−2i−2i2i0000000000000-1-1-11-1111i−i−iii−i−ii2-22-2-222i−2i−2i2i-2200002-2002i−2i−2i2i0000000000000-1-1-11-1111i−i−iii−i−ii
χ202-22-2-222i−2i−2i2i-2200002-2002i−2i−2i2i00000000000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ72-22-2-222i−2i−2i2i-2200002-2002i−2i−2i2i00000000000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ212-22-2-222i−2i−2i2i-2200002-2002i−2i−2i2i00000000000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ112-22-2-222i−2i−2i2i-2200002-2002i−2i−2i2i00000000000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ222-22-2-22−2i2i2i−2i-2200002-200−2i2i2i−2i0000000000000-1-1-11-1111−iii−i−iii−i2-22-2-22−2i2i2i−2i-2200002-200−2i2i2i−2i0000000000000-1-1-11-1111−iii−i−iii−i
χ232-22-2-22−2i2i2i−2i-2200002-200−2i2i2i−2i00000000000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ72-22-2-22−2i2i2i−2i-2200002-200−2i2i2i−2i00000000000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ242-22-2-22−2i2i2i−2i-2200002-200−2i2i2i−2i00000000000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ112-22-2-22−2i2i2i−2i-2200002-200−2i2i2i−2i00000000000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ25333333333333-1-1-1-133-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000333333333333-1-1-1-133-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ263333333333-1-133-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-13-100000000000000003333333333-1-133-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-13-10000000000000000
χ273333333333-1-1-1-133-1-1-1-1-1-1-1-1-1-1-13-13-1-1-1-1-1-1300000000000000003333333333-1-1-1-133-1-1-1-1-1-1-1-1-1-1-13-13-1-1-1-1-1-130000000000000000
χ283333333333-1-1-1-1-1-1-1-133-1-1-1-133-1-1-1-1-1-1-13-1-1-100000000000000003333333333-1-1-1-1-1-1-1-133-1-1-1-133-1-1-1-1-1-1-13-1-1-10000000000000000
χ293333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-13-1-100000000000000003333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-13-1-10000000000000000
χ30333333-3-3-3-333111133-1-1-3-3-3-311-1-1-11111-1-1-1-10000000000000000333333-3-3-3-333111133-1-1-3-3-3-311-1-1-11111-1-1-1-10000000000000000
χ31333333-3-3-3-3-1-11111-1-1331111-3-3-1-1-111113-1-1-10000000000000000333333-3-3-3-3-1-11111-1-1331111-3-3-1-1-111113-1-1-10000000000000000
χ32333333-3-3-3-3-1-11111-1-1-1-1111111-1-131-31-3-13-1-10000000000000000333333-3-3-3-3-1-11111-1-1-1-1111111-1-131-31-3-13-1-10000000000000000
χ33333333-3-3-3-3-1-111-3-3-1-1-1-1111111-13-1-3111-1-1-130000000000000000333333-3-3-3-3-1-111-3-3-1-1-1-1111111-13-1-3111-1-1-130000000000000000
χ34333333-3-3-3-3-1-1-3-311-1-1-1-11111113-1-111-31-1-13-10000000000000000333333-3-3-3-3-1-1-3-311-1-1-1-11111113-1-111-31-1-13-10000000000000000
χ353333-3-333-3-3113311-1-111-1-111-113-11-1-1-31-1-1-3100000000000000003333-3-333-3-3113311-1-111-1-111-113-11-1-1-31-1-1-310000000000000000
χ363333-3-333-3-311-1-111-1-111-1-111-11-1-1-3-131-3-131100000000000000003333-3-333-3-311-1-111-1-111-1-111-11-1-1-3-131-3-13110000000000000000
χ373333-3-333-3-311-1-111-1-1-3-3-1-1113-3-1-11-1-1113-11100000000000000003333-3-333-3-311-1-111-1-1-3-3-1-1113-3-1-11-1-1113-1110000000000000000
χ383333-3-333-3-311-1-1-3-3-1-111-1-111-11-1313-111-1-11-300000000000000003333-3-333-3-311-1-1-3-3-1-111-1-111-11-1313-111-1-11-30000000000000000
χ393333-3-333-3-3-3-3-1-111331133-3-3-11-1-11-1-111-1-11100000000000000003333-3-333-3-3-3-3-1-111331133-3-3-11-1-11-1-111-1-1110000000000000000
χ403333-3-3-3-333111133-1-11111-1-11-1-131-31-1-1-1-11-300000000000000003333-3-3-3-333111133-1-11111-1-11-1-131-31-1-1-1-11-30000000000000000
χ413333-3-3-3-3331111-1-1-1-11111-1-11-1-1-1-31-3-13-131100000000000000003333-3-3-3-3331111-1-1-1-11111-1-11-1-1-1-31-3-13-13110000000000000000
χ423333-3-3-3-3331111-1-1-1-1-3-311-1-1-33-1-1111-1-13-11100000000000000003333-3-3-3-3331111-1-1-1-1-3-311-1-1-33-1-1111-1-13-1110000000000000000
χ433333-3-3-3-33311-3-3-1-1-1-11111-1-11-13-11113-1-1-1-3100000000000000003333-3-3-3-33311-3-3-1-1-1-11111-1-11-13-11113-1-1-1-310000000000000000
χ443333-3-3-3-333-3-311-1-13311-3-3331-1-1-1111-1-1-1-11100000000000000003333-3-3-3-333-3-311-1-13311-3-3331-1-1-1111-1-1-1-1110000000000000000
χ456-66-66-66i−6i6i−6i-220000-2200−2i2i−2i2i000000000000000000000000000006-66-66-66i−6i6i−6i-220000-2200−2i2i−2i2i00000000000000000000000000000
χ466-66-66-6−6i6i−6i6i-220000-22002i−2i2i−2i000000000000000000000000000006-66-66-6−6i6i−6i6i-220000-22002i−2i2i−2i00000000000000000000000000000
χ476-66-6-666i−6i−6i6i2-20000-2200−2i2i2i−2i000000000000000000000000000006-66-6-666i−6i−6i6i2-20000-2200−2i2i2i−2i00000000000000000000000000000
χ486-66-6-66−6i6i6i−6i2-20000-22002i−2i−2i2i000000000000000000000000000006-66-6-66−6i6i6i−6i2-20000-22002i−2i−2i2i00000000000000000000000000000
χ491212-4-4000000004-44-4004-40000000000000000000000000000000001212-4-4000000004-44-4004-4000000000000000000000000000000000
χ501212-4-4000000004-4-4400-440000000000000000000000000000000001212-4-4000000004-4-4400-44000000000000000000000000000000000
χ511212-4-400000000-444-400-440000000000000000000000000000000001212-4-400000000-444-400-44000000000000000000000000000000000
χ521212-4-400000000-44-44004-40000000000000000000000000000000001212-4-400000000-44-44004-4000000000000000000000000000000000
χ5324-24-88000000000000000000000000000000000000000000000000024-24-880000000000000000000000000000000000000000000000000
χ5411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ551111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ561111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ57111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ58111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-11111-1-1-1-11+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ59111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-11111-1-1-1-11−i321+i321−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ601111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-11-1-11-1-111-1-111-1-11111-1-1-1-111-1-111
χ611111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-11111-1-111-1-111-1-111-11-1-11-1-111-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ621111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-11111-1-111-1-111-1-111-11-1-11-1-111-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ631111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-1-1111-1-1-1-111-1-11111-1-111-1-111-1-1
χ641111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-1-1111-1-1-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ651111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-1-1111-1-1-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ662-22-22-22i−2i2i−2i2-200002-2002i−2i2i−2i0000000000000-1-11-11-111i−ii−ii−ii−i-22-22-22−2i2i−2i2i-220000-2200−2i2i−2i2i000000000000011-11-11-1-1−ii−ii−ii−ii
χ672-22-22-22i−2i2i−2i2-200002-2002i−2i2i−2i00000000000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7-22-22-22−2i2i−2i2i-220000-2200−2i2i−2i2i0000000000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ682-22-22-22i−2i2i−2i2-200002-2002i−2i2i−2i00000000000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11-22-22-22−2i2i−2i2i-220000-2200−2i2i−2i2i0000000000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ692-22-22-2−2i2i−2i2i2-200002-200−2i2i−2i2i0000000000000-1-11-11-111−ii−ii−ii−ii-22-22-222i−2i2i−2i-220000-22002i−2i2i−2i000000000000011-11-11-1-1i−ii−ii−ii−i
χ702-22-22-2−2i2i−2i2i2-200002-200−2i2i−2i2i00000000000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7-22-22-222i−2i2i−2i-220000-22002i−2i2i−2i0000000000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ712-22-22-2−2i2i−2i2i2-200002-200−2i2i−2i2i00000000000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11-22-22-222i−2i2i−2i-220000-22002i−2i2i−2i0000000000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ722-22-2-222i−2i−2i2i-2200002-2002i−2i−2i2i0000000000000-1-1-11-1111i−i−iii−i−ii-22-222-2−2i2i2i−2i2-20000-2200−2i2i2i−2i0000000000000111-11-1-1-1−iii−i−iii−i
χ732-22-2-222i−2i−2i2i-2200002-2002i−2i−2i2i00000000000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7-22-222-2−2i2i2i−2i2-20000-2200−2i2i2i−2i0000000000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ742-22-2-222i−2i−2i2i-2200002-2002i−2i−2i2i00000000000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11-22-222-2−2i2i2i−2i2-20000-2200−2i2i2i−2i0000000000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ752-22-2-22−2i2i2i−2i-2200002-200−2i2i2i−2i0000000000000-1-1-11-1111−iii−i−iii−i-22-222-22i−2i−2i2i2-20000-22002i−2i−2i2i0000000000000111-11-1-1-1i−i−iii−i−ii
χ762-22-2-22−2i2i2i−2i-2200002-200−2i2i2i−2i00000000000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7-22-222-22i−2i−2i2i2-20000-22002i−2i−2i2i0000000000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ772-22-2-22−2i2i2i−2i-2200002-200−2i2i2i−2i00000000000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11-22-222-22i−2i−2i2i2-20000-22002i−2i−2i2i0000000000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ78333333333333-1-1-1-133-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-3-3-3-3-3-3-3-3-3-3-3-31111-3-311-3-3-3-311111111111110000000000000000
χ793333333333-1-133-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-13-1-1-13-10000000000000000-3-3-3-3-3-3-3-3-3-311-3-3111111111111-31111-3111-310000000000000000
χ803333333333-1-1-1-133-1-1-1-1-1-1-1-1-1-1-13-13-1-1-1-1-1-130000000000000000-3-3-3-3-3-3-3-3-3-31111-3-311111111111-31-3111111-30000000000000000
χ813333333333-1-1-1-1-1-1-1-133-1-1-1-133-1-1-1-1-1-1-13-1-1-10000000000000000-3-3-3-3-3-3-3-3-3-311111111-3-31111-3-31111111-31110000000000000000
χ823333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-13-1-10000000000000000-3-3-3-3-3-3-3-3-3-3111111111111111111-31-31-31-3110000000000000000
χ83333333-3-3-3-333111133-1-1-3-3-3-311-1-1-11111-1-1-1-10000000000000000-3-3-3-3-3-33333-3-3-1-1-1-1-3-3113333-1-1111-1-1-1-111110000000000000000
χ84333333-3-3-3-3-1-11111-1-1331111-3-3-1-1-111113-1-1-10000000000000000-3-3-3-3-3-3333311-1-1-1-111-3-3-1-1-1-133111-1-1-1-1-31110000000000000000
χ85333333-3-3-3-3-1-11111-1-1-1-1111111-1-131-31-3-13-1-10000000000000000-3-3-3-3-3-3333311-1-1-1-11111-1-1-1-1-1-111-3-13-131-3110000000000000000
χ86333333-3-3-3-3-1-111-3-3-1-1-1-1111111-13-1-3111-1-1-130000000000000000-3-3-3-3-3-3333311-1-1331111-1-1-1-1-1-11-313-1-1-1111-30000000000000000
χ87333333-3-3-3-3-1-1-3-311-1-1-1-11111113-1-111-31-1-13-10000000000000000-3-3-3-3-3-333331133-1-11111-1-1-1-1-1-1-311-1-13-111-310000000000000000
χ883333-3-333-3-3113311-1-111-1-111-113-11-1-1-31-1-1-310000000000000000-3-3-3-333-3-333-1-1-3-3-1-111-1-111-1-11-1-31-1113-1113-10000000000000000
χ893333-3-333-3-311-1-111-1-111-1-111-11-1-1-3-131-3-13110000000000000000-3-3-3-333-3-333-1-111-1-111-1-111-1-11-11131-3-131-3-1-10000000000000000
χ903333-3-333-3-311-1-111-1-1-3-3-1-1113-3-1-11-1-1113-1110000000000000000-3-3-3-333-3-333-1-111-1-1113311-1-1-3311-111-1-1-31-1-10000000000000000
χ913333-3-333-3-311-1-1-3-3-1-111-1-111-11-1313-111-1-11-30000000000000000-3-3-3-333-3-333-1-1113311-1-111-1-11-11-3-1-31-1-111-130000000000000000
χ923333-3-333-3-3-3-3-1-111331133-3-3-11-1-11-1-111-1-1110000000000000000-3-3-3-333-3-3333311-1-1-3-3-1-1-3-3331-111-111-1-111-1-10000000000000000
χ933333-3-3-3-333111133-1-11111-1-11-1-131-31-1-1-1-11-30000000000000000-3-3-3-33333-3-3-1-1-1-1-3-311-1-1-1-111-111-3-13-11111-130000000000000000
χ943333-3-3-3-3331111-1-1-1-11111-1-11-1-1-1-31-3-13-13110000000000000000-3-3-3-33333-3-3-1-1-1-11111-1-1-1-111-11113-131-31-3-1-10000000000000000
χ953333-3-3-3-3331111-1-1-1-1-3-311-1-1-33-1-1111-1-13-1110000000000000000-3-3-3-33333-3-3-1-1-1-1111133-1-1113-311-1-1-111-31-1-10000000000000000
χ963333-3-3-3-33311-3-3-1-1-1-11111-1-11-13-11113-1-1-1-310000000000000000-3-3-3-33333-3-3-1-1331111-1-1-1-111-11-31-1-1-1-31113-10000000000000000
χ973333-3-3-3-333-3-311-1-13311-3-3331-1-1-1111-1-1-1-1110000000000000000-3-3-3-33333-3-333-1-111-3-3-1-133-3-3-1111-1-1-11111-1-10000000000000000
χ986-66-66-66i−6i6i−6i-220000-2200−2i2i−2i2i00000000000000000000000000000-66-66-66−6i6i−6i6i2-200002-2002i−2i2i−2i00000000000000000000000000000
χ996-66-66-6−6i6i−6i6i-220000-22002i−2i2i−2i00000000000000000000000000000-66-66-666i−6i6i−6i2-200002-200−2i2i−2i2i00000000000000000000000000000
χ1006-66-6-666i−6i−6i6i2-20000-2200−2i2i2i−2i00000000000000000000000000000-66-666-6−6i6i6i−6i-2200002-2002i−2i−2i2i00000000000000000000000000000
χ1016-66-6-66−6i6i6i−6i2-20000-22002i−2i−2i2i00000000000000000000000000000-66-666-66i−6i−6i6i-2200002-200−2i2i2i−2i00000000000000000000000000000
χ1021212-4-4000000004-44-4004-4000000000000000000000000000000000-12-124400000000-44-4400-44000000000000000000000000000000000
χ1031212-4-4000000004-4-4400-44000000000000000000000000000000000-12-124400000000-444-4004-4000000000000000000000000000000000
χ1041212-4-400000000-444-400-44000000000000000000000000000000000-12-1244000000004-4-44004-4000000000000000000000000000000000
χ1051212-4-400000000-44-44004-4000000000000000000000000000000000-12-1244000000004-44-400-44000000000000000000000000000000000
χ10624-24-880000000000000000000000000000000000000000000000000-24248-80000000000000000000000000000000000000000000000000

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