Finite Group Databasebeta

← Group #72503

Character table — Group #72503

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444444488881111111122222222444444444444444444888811111111222222224444444444444444448888
order122222224444444422222244448888888844443666666612121212121212126666661212121224242424242424241212121236666666121212121212121266666612121212242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111-1-1-1-111111-1-1-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i111-1-1-1-111111-1-1-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i111-1-1-1-111111-1-1-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ10111-1-1-1-111111-1-1-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii111-1-1-1-111111-1-1-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii111-1-1-1-111111-1-1-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ11111-1-1-1-111111-1-1-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii111-1-1-1-111111-1-1-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii111-1-1-1-111111-1-1-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ12111-1-1-1-111111-1-1-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i111-1-1-1-111111-1-1-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i111-1-1-1-111111-1-1-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i
χ13111-1-1-1-1111-1-111-1-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii111-1-1-1-1111-1-111-1-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii111-1-1-1-1111-1-111-1-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii
χ14111-1-1-1-1111-1-111-1-1-1111-1-1-1-111−i−iiiii−i−i−iii−i111-1-1-1-1111-1-111-1-1-1111-1-1-1-111−i−iiiii−i−i−iii−i111-1-1-1-1111-1-111-1-1-1111-1-1-1-111−i−iiiii−i−i−iii−i
χ15111-1-1-1-1111-1-111-1-1-11-1-11111-1-1ii−i−i−i−iii−iii−i111-1-1-1-1111-1-111-1-1-11-1-11111-1-1ii−i−i−i−iii−iii−i111-1-1-1-1111-1-111-1-1-11-1-11111-1-1ii−i−i−i−iii−iii−i
χ16111-1-1-1-1111-1-111-1-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii111-1-1-1-1111-1-111-1-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii111-1-1-1-1111-1-111-1-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii
χ1722222222-2-22222-2-2-2-20000000000000000000022222222-2-22222-2-2-2-20000000000000000000022222222-2-22222-2-2-2-200000000000000000000
χ1822222222-2-2-2-2-2-2-2-2220000000000000000000022222222-2-2-2-2-2-2-2-2220000000000000000000022222222-2-2-2-2-2-2-2-22200000000000000000000
χ19222-2-2-2-22-2-222-2-222-2200000000000000000000222-2-2-2-22-2-222-2-222-2200000000000000000000222-2-2-2-22-2-222-2-222-2200000000000000000000
χ20222-2-2-2-22-2-2-2-222222-200000000000000000000222-2-2-2-22-2-2-2-222222-200000000000000000000222-2-2-2-22-2-2-2-222222-200000000000000000000
χ2122-22-22-2-2002i−2i2i−2i000000000000i2−i2i2−i22−22−2000022-22-22-2-2002i−2i2i−2i000000000000i2−i2i2−i22−22−2000022-22-22-2-2002i−2i2i−2i000000000000i2−i2i2−i22−22−20000
χ2222-22-22-2-2002i−2i2i−2i000000000000−i2i2−i2i2−22−22000022-22-22-2-2002i−2i2i−2i000000000000−i2i2−i2i2−22−22000022-22-22-2-2002i−2i2i−2i000000000000−i2i2−i2i2−22−220000
χ2322-22-22-2-200−2i2i−2i2i000000000000i2−i2i2−i2−22−22000022-22-22-2-200−2i2i−2i2i000000000000i2−i2i2−i2−22−22000022-22-22-2-200−2i2i−2i2i000000000000i2−i2i2−i2−22−220000
χ2422-22-22-2-200−2i2i−2i2i000000000000−i2i2−i2i22−22−2000022-22-22-2-200−2i2i−2i2i000000000000−i2i2−i2i22−22−2000022-22-22-2-200−2i2i−2i2i000000000000−i2i2−i2i22−22−20000
χ2522-2-22-22-2002i−2i−2i2i0000000000002−2−22−i2i2i2−i2000022-2-22-22-2002i−2i−2i2i0000000000002−2−22−i2i2i2−i2000022-2-22-22-2002i−2i−2i2i0000000000002−2−22−i2i2i2−i20000
χ2622-2-22-22-2002i−2i−2i2i000000000000−222−2i2−i2−i2i2000022-2-22-22-2002i−2i−2i2i000000000000−222−2i2−i2−i2i2000022-2-22-22-2002i−2i−2i2i000000000000−222−2i2−i2−i2i20000
χ2722-2-22-22-200−2i2i2i−2i0000000000002−2−22i2−i2−i2i2000022-2-22-22-200−2i2i2i−2i0000000000002−2−22i2−i2−i2i2000022-2-22-22-200−2i2i2i−2i0000000000002−2−22i2−i2−i2i20000
χ2822-2-22-22-200−2i2i2i−2i000000000000−222−2−i2i2i2−i2000022-2-22-22-200−2i2i2i−2i000000000000−222−2−i2i2i2−i2000022-2-22-22-200−2i2i2i−2i000000000000−222−2−i2i2i2−i20000
χ292-2-22-2-2222-200002-20000002-22-20000000000002-2-22-2-2222-200002-20000002-22-20000000000002-2-22-2-2222-200002-20000002-22-2000000000000
χ302-2-22-2-2222-200002-2000000-22-220000000000002-2-22-2-2222-200002-2000000-22-220000000000002-2-22-2-2222-200002-2000000-22-22000000000000
χ312-2-22-2-222-220000-22002-22-200000000000000002-2-22-2-222-220000-22002-22-200000000000000002-2-22-2-222-220000-22002-22-20000000000000000
χ322-2-22-2-222-220000-2200-22-2200000000000000002-2-22-2-222-220000-2200-22-2200000000000000002-2-22-2-222-220000-2200-22-220000000000000000
χ332-2-2-222-222-20000-220000002-2-220000000000002-2-2-222-222-20000-220000002-2-220000000000002-2-2-222-222-20000-220000002-2-22000000000000
χ342-2-2-222-222-20000-22000000-222-20000000000002-2-2-222-222-20000-22000000-222-20000000000002-2-2-222-222-20000-22000000-222-2000000000000
χ352-2-2-222-22-2200002-2002-2-2200000000000000002-2-2-222-22-2200002-2002-2-2200000000000000002-2-2-222-22-2200002-2002-2-220000000000000000
χ362-2-2-222-22-2200002-200-222-200000000000000002-2-2-222-22-2200002-200-222-200000000000000002-2-2-222-22-2200002-200-222-20000000000000000
χ374-4444-4-4-40000000000000000000000000000004-4444-4-4-40000000000000000000000000000004-4444-4-4-4000000000000000000000000000000
χ384-44-4-444-40000000000000000000000000000004-44-4-444-40000000000000000000000000000004-44-4-444-4000000000000000000000000000000
χ3911111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ41111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−1+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+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−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−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+i321+i321+i32
χ42111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ431111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−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+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−i321+i321+i32
χ441111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111−1+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−i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ451111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111−1+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+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−i321+i321+i321+i321+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ461111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1−1+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+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−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ47111-1-1-1-111111-1-1-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ48111-1-1-1-111111-1-1-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22
χ49111-1-1-1-111111-1-1-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ50111-1-1-1-111111-1-1-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22
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χ831111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111−1−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−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+i321−i321−i321−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ841111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1−1−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−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+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ85111-1-1-1-111111-1-1-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ86111-1-1-1-111111-1-1-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14
χ87111-1-1-1-111111-1-1-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ88111-1-1-1-111111-1-1-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14
χ89111-1-1-1-1111-1-111-1-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14
χ90111-1-1-1-1111-1-111-1-1-1111-1-1-1-111−i−iiiii−i−i−iii−i−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14
χ91111-1-1-1-1111-1-111-1-1-11-1-11111-1-1ii−i−i−i−iii−iii−i−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14
χ92111-1-1-1-1111-1-111-1-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ9322222222-2-22222-2-2-2-200000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000000000
χ9422222222-2-2-2-2-2-2-2-22200000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i300000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i300000000000000000000
χ95222-2-2-2-22-2-222-2-222-2200000000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i300000000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i300000000000000000000
χ96222-2-2-2-22-2-2-2-222222-200000000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i300000000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i300000000000000000000
χ9722-22-22-2-2002i−2i2i−2i000000000000i2−i2i2−i22−22−20000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3002ζ22−2ζ222ζ22−2ζ22000000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3002ζ14−2ζ142ζ14−2ζ14000000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ9822-22-22-2-2002i−2i2i−2i000000000000−i2i2−i2i2−22−220000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3002ζ22−2ζ222ζ22−2ζ22000000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3002ζ14−2ζ142ζ14−2ζ14000000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ9922-22-22-2-200−2i2i−2i2i000000000000i2−i2i2−i2−22−220000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300−2ζ222ζ22−2ζ222ζ22000000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300−2ζ142ζ14−2ζ142ζ14000000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ10022-22-22-2-200−2i2i−2i2i000000000000−i2i2−i2i22−22−20000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300−2ζ222ζ22−2ζ222ζ22000000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300−2ζ142ζ14−2ζ142ζ14000000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ10122-2-22-22-2002i−2i−2i2i0000000000002−2−22−i2i2i2−i20000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3002ζ22−2ζ22−2ζ222ζ22000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3002ζ14−2ζ14−2ζ142ζ14000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000
χ10222-2-22-22-2002i−2i−2i2i000000000000−222−2i2−i2−i2i20000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3002ζ22−2ζ22−2ζ222ζ22000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3002ζ14−2ζ14−2ζ142ζ14000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000
χ10322-2-22-22-200−2i2i2i−2i0000000000002−2−22i2−i2−i2i20000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300−2ζ222ζ222ζ22−2ζ22000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300−2ζ142ζ142ζ14−2ζ14000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000
χ10422-2-22-22-200−2i2i2i−2i000000000000−222−2−i2i2i2−i20000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300−2ζ222ζ222ζ22−2ζ22000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300−2ζ142ζ142ζ14−2ζ14000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000
χ1052-2-22-2-2222-200002-20000002-22-2000000000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000−1−i31+i3000000−1−i31+i3−1−i31+i3000000000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000−1+i31−i3000000−1+i31−i3−1+i31−i3000000000000
χ1062-2-22-2-2222-200002-2000000-22-22000000000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000−1−i31+i30000001+i3−1−i31+i3−1−i3000000000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000−1+i31−i30000001−i3−1+i31−i3−1+i3000000000000
χ1072-2-22-2-222-220000-22002-22-20000000000000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i300001+i3−1−i300−1−i31+i3−1−i31+i30000000000000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i300001−i3−1+i300−1+i31−i3−1+i31−i30000000000000000
χ1082-2-22-2-222-220000-2200-22-220000000000000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i300001+i3−1−i3001+i3−1−i31+i3−1−i30000000000000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i300001−i3−1+i3001−i3−1+i31−i3−1+i30000000000000000
χ1092-2-2-222-222-20000-220000002-2-22000000000000−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i300001+i3−1−i3000000−1−i31+i31+i3−1−i3000000000000−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i300001−i3−1+i3000000−1+i31−i31−i3−1+i3000000000000
χ1102-2-2-222-222-20000-22000000-222-2000000000000−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i300001+i3−1−i30000001+i3−1−i3−1−i31+i3000000000000−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i300001−i3−1+i30000001−i3−1+i3−1+i31−i3000000000000
χ1112-2-2-222-22-2200002-2002-2-220000000000000000−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i30000−1−i31+i300−1−i31+i31+i3−1−i30000000000000000−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i30000−1+i31−i300−1+i31−i31−i3−1+i30000000000000000
χ1122-2-2-222-22-2200002-200-222-20000000000000000−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i30000−1−i31+i3001+i3−1−i3−1−i31+i30000000000000000−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i30000−1+i31−i3001−i3−1+i3−1+i31−i30000000000000000
χ1134-4444-4-4-4000000000000000000000000000000−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i3000000000000000000000000000000−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i3000000000000000000000000000000
χ1144-44-4-444-4000000000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3000000000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.