Finite Group Databasebeta

← Group #72341373

Character table — Group #72341373

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111144446612121212161616161616161616161616161616162424111144446612121212161616161616161616161616161616162424111144446612121212161616161616161616161616161616162424111144446612121212161616161616161616161616161616162424
order12442244242244336666661212121212121212444444444444444412121212121212121212121212121212442244224424224466666666121212121212121244444444444444441212121212121212121212121212121244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211
χ311111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211
χ41111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1
χ51111-1-1-1-1111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11111-1-1-1-1111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11111-1-1-1-1111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11111-1-1-1-1111111−1−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
χ61111-1-1-1-1111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11111-1-1-1-1111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11111-1-1-1-1111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11111-1-1-1-1111111−1+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
χ711-1-111-1-11-11-11-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11-11-11-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11-11-11-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11-11-11-111111111-1-1-1-1-1-1-1-11-1
χ811-1-111-1-11-11-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-111-1-111-1-11-11-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-111-1-111-1-11-11-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-111-1-111-1-11-11-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1
χ911-1-111-1-11-11-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-111-1-111-1-11-11-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-111-1-111-1-11-11-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-111-1-111-1-11-11-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1
χ1011-1-1-1-1111-11-11-111-1-1-1-111-1-111-1-111-1111-1-1-1-1111-11-11-111-1-1-1-111-1-111-1-111-1111-1-1-1-1111-11-11-111-1-1-1-111-1-111-1-111-1111-1-1-1-1111-11-11-111-1-1-1-111-1-111-1-111-11
χ1111-1-1-1-1111-11-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1111-1-1-1-1111-11-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1111-1-1-1-1111-11-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1111-1-1-1-1111-11-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11
χ1211-1-1-1-1111-11-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1111-1-1-1-1111-11-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1111-1-1-1-1111-11-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1111-1-1-1-1111-11-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11
χ133333333333-1-1-1-10000000000000000-1-13333333333-1-1-1-10000000000000000-1-13333333333-1-1-1-10000000000000000-1-13333333333-1-1-1-10000000000000000-1-1
χ143333-3-3-3-333-1-1-1-10000000000000000113333-3-3-3-333-1-1-1-10000000000000000113333-3-3-3-333-1-1-1-10000000000000000113333-3-3-3-333-1-1-1-1000000000000000011
χ1533-3-333-3-33-3-11-110000000000000000-1133-3-333-3-33-3-11-110000000000000000-1133-3-333-3-33-3-11-110000000000000000-1133-3-333-3-33-3-11-110000000000000000-11
χ1633-3-3-3-3333-3-11-1100000000000000001-133-3-3-3-3333-3-11-1100000000000000001-133-3-3-3-3333-3-11-1100000000000000001-133-3-3-3-3333-3-11-1100000000000000001-1
χ174-44i−4i2-22i−2i000000111-11-1-1-1i−ii−ii−ii−i004-44i−4i2-22i−2i000000111-11-1-1-1i−ii−ii−ii−i004-44i−4i2-22i−2i000000111-11-1-1-1i−ii−ii−ii−i004-44i−4i2-22i−2i000000111-11-1-1-1i−ii−ii−ii−i00
χ184-44i−4i2-22i−2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7004-44i−4i2-22i−2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7004-44i−4i2-22i−2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7004-44i−4i2-22i−2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ700
χ194-44i−4i2-22i−2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11004-44i−4i2-22i−2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11004-44i−4i2-22i−2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11004-44i−4i2-22i−2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1100
χ204-44i−4i-22−2i2i00000011-11-11-1-1i−i−iii−i−ii004-44i−4i-22−2i2i00000011-11-11-1-1i−i−iii−i−ii004-44i−4i-22−2i2i00000011-11-11-1-1i−i−iii−i−ii004-44i−4i-22−2i2i00000011-11-11-1-1i−i−iii−i−ii00
χ214-44i−4i-22−2i2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7004-44i−4i-22−2i2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7004-44i−4i-22−2i2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7004-44i−4i-22−2i2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ700
χ224-44i−4i-22−2i2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11004-44i−4i-22−2i2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11004-44i−4i-22−2i2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11004-44i−4i-22−2i2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1100
χ234-4−4i4i2-2−2i2i000000111-11-1-1-1−ii−ii−ii−ii004-4−4i4i2-2−2i2i000000111-11-1-1-1−ii−ii−ii−ii004-4−4i4i2-2−2i2i000000111-11-1-1-1−ii−ii−ii−ii004-4−4i4i2-2−2i2i000000111-11-1-1-1−ii−ii−ii−ii00
χ244-4−4i4i2-2−2i2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7004-4−4i4i2-2−2i2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7004-4−4i4i2-2−2i2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7004-4−4i4i2-2−2i2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ700
χ254-4−4i4i2-2−2i2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11004-4−4i4i2-2−2i2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11004-4−4i4i2-2−2i2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11004-4−4i4i2-2−2i2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ1100
χ264-4−4i4i-222i−2i00000011-11-11-1-1−iii−i−iii−i004-4−4i4i-222i−2i00000011-11-11-1-1−iii−i−iii−i004-4−4i4i-222i−2i00000011-11-11-1-1−iii−i−iii−i004-4−4i4i-222i−2i00000011-11-11-1-1−iii−i−iii−i00
χ274-4−4i4i-222i−2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7004-4−4i4i-222i−2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7004-4−4i4i-222i−2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7004-4−4i4i-222i−2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ700
χ284-4−4i4i-222i−2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11004-4−4i4i-222i−2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11004-4−4i4i-222i−2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11004-4−4i4i-222i−2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1100
χ2966660000-2-22-2-2200000000000000000066660000-2-22-2-2200000000000000000066660000-2-22-2-2200000000000000000066660000-2-22-2-22000000000000000000
χ3066660000-2-2-222-200000000000000000066660000-2-2-222-200000000000000000066660000-2-2-222-200000000000000000066660000-2-2-222-2000000000000000000
χ3166-6-60000-2222-2-200000000000000000066-6-60000-2222-2-200000000000000000066-6-60000-2222-2-200000000000000000066-6-60000-2222-2-2000000000000000000
χ3266-6-60000-22-2-22200000000000000000066-6-60000-22-2-22200000000000000000066-6-60000-22-2-22200000000000000000066-6-60000-22-2-222000000000000000000
χ3311111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3411111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211iiiiiiiiiiiiiiζ11ζ7ζ11ζ11ζ7ζ7ζ11ζ7ζ11ζ11ζ11ζ11ζ7ζ7ζ7ζ7ii-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−i32-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ7−ζ11−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−ζ7−i−i
χ3511111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211iiiiiiiiiiiiiiζ7ζ11ζ7ζ7ζ11ζ11ζ7ζ11ζ7ζ7ζ7ζ7ζ11ζ11ζ11ζ11ii-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+i32-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ11−ζ7−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−ζ11−i−i
χ361111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−iii−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iii−i−iiiii
χ371111-1-1-1-1111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1iiii−i−i−i−iiiiiiiζ11ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7−i−i-1-1-1-11111-1-1-1-1-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211−i−i−i−iiiii−i−i−i−i−i−i−ζ11−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7ii
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χ1134-44i−4i2-22i−2i000000111-11-1-1-1i−ii−ii−ii−i00−4i4i4-4−2i2i2-2000000−i−i−ii−iiii1-11-11-11-100-44−4i4i-22−2i2i000000-1-1-11-1111−ii−ii−ii−ii004i−4i-442i−2i-22000000iii−ii−i−i−i-11-11-11-1100
χ1144-44i−4i2-22i−2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ700−4i4i4-4−2i2i2-2000000−ζ11−ζ7−ζ11ζ11−ζ7ζ7ζ11ζ7−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i3200-44−4i4i-22−2i2i0000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7004i−4i-442i−2i-22000000ζ11ζ7ζ11−ζ11ζ7−ζ7−ζ11−ζ71+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i3200
χ1154-44i−4i2-22i−2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1100−4i4i4-4−2i2i2-2000000−ζ7−ζ11−ζ7ζ7−ζ11ζ11ζ7ζ11−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i3200-44−4i4i-22−2i2i0000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11004i−4i-442i−2i-22000000ζ7ζ11ζ7−ζ7ζ11−ζ11−ζ7−ζ111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i3200
χ1164-44i−4i-22−2i2i00000011-11-11-1-1i−i−iii−i−ii00−4i4i4-42i−2i-22000000−i−ii−ii−iii1-1-111-1-1100-44−4i4i2-22i−2i000000-1-11-11-111−iii−i−iii−i004i−4i-44−2i2i2-2000000ii−ii−ii−i−i-111-1-111-100
χ1174-44i−4i-22−2i2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ700−4i4i4-42i−2i-22000000−ζ11−ζ7ζ11−ζ11ζ7−ζ7ζ11ζ7−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i3200-44−4i4i2-22i−2i0000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7004i−4i-44−2i2i2-2000000ζ11ζ7−ζ11ζ11−ζ7ζ7−ζ11−ζ71+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i3200
χ1184-44i−4i-22−2i2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1100−4i4i4-42i−2i-22000000−ζ7−ζ11ζ7−ζ7ζ11−ζ11ζ7ζ11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i3200-44−4i4i2-22i−2i0000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11004i−4i-44−2i2i2-2000000ζ7ζ11−ζ7ζ7−ζ11ζ11−ζ7−ζ111−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i3200
χ1194-4−4i4i2-2−2i2i000000111-11-1-1-1−ii−ii−ii−ii00−4i4i-44−2i2i-22000000−i−i−ii−iiii-11-11-11-1100-444i−4i-222i−2i000000-1-1-11-1111i−ii−ii−ii−i004i−4i4-42i−2i2-2000000iii−ii−i−i−i1-11-11-11-100
χ1204-4−4i4i2-2−2i2i000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ700−4i4i-44−2i2i-22000000−ζ11−ζ7−ζ11ζ11−ζ7ζ7ζ11ζ71+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i3200-444i−4i-222i−2i0000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7004i−4i4-42i−2i2-2000000ζ11ζ7ζ11−ζ11ζ7−ζ7−ζ11−ζ7−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i3200
χ1214-4−4i4i2-2−2i2i000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ1100−4i4i-44−2i2i-22000000−ζ7−ζ11−ζ7ζ7−ζ11ζ11ζ7ζ111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i3200-444i−4i-222i−2i0000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11004i−4i4-42i−2i2-2000000ζ7ζ11ζ7−ζ7ζ11−ζ11−ζ7−ζ11−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i3200
χ1224-4−4i4i-222i−2i00000011-11-11-1-1−iii−i−iii−i00−4i4i-442i−2i2-2000000−i−ii−ii−iii-111-1-111-100-444i−4i2-2−2i2i000000-1-11-11-111i−i−iii−i−ii004i−4i4-4−2i2i-22000000ii−ii−ii−i−i1-1-111-1-1100
χ1234-4−4i4i-222i−2i000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ700−4i4i-442i−2i2-2000000−ζ11−ζ7ζ11−ζ11ζ7−ζ7ζ11ζ71+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i3200-444i−4i2-2−2i2i0000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7004i−4i4-4−2i2i-22000000ζ11ζ7−ζ11ζ11−ζ7ζ7−ζ11−ζ7−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i3200
χ1244-4−4i4i-222i−2i000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1100−4i4i-442i−2i2-2000000−ζ7−ζ11ζ7−ζ7ζ11−ζ11ζ7ζ111−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i3200-444i−4i2-2−2i2i0000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11004i−4i4-4−2i2i-22000000ζ7ζ11−ζ7ζ7−ζ11ζ11−ζ7−ζ11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i3200
χ12566660000-2-22-2-22000000000000000000−6i−6i−6i−6i00002i2i−2i2i2i−2i000000000000000000-6-6-6-6000022-222-20000000000000000006i6i6i6i0000−2i−2i2i−2i−2i2i000000000000000000
χ12666660000-2-2-222-2000000000000000000−6i−6i−6i−6i00002i2i2i−2i−2i2i000000000000000000-6-6-6-60000222-2-220000000000000000006i6i6i6i0000−2i−2i−2i2i2i−2i000000000000000000
χ12766-6-60000-2222-2-2000000000000000000−6i−6i6i6i00002i−2i−2i−2i2i2i000000000000000000-6-66600002-2-2-2220000000000000000006i6i−6i−6i0000−2i2i2i2i−2i−2i000000000000000000
χ12866-6-60000-22-2-222000000000000000000−6i−6i6i6i00002i−2i2i2i−2i−2i000000000000000000-6-66600002-222-2-20000000000000000006i6i−6i−6i0000−2i2i−2i−2i2i2i000000000000000000

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