Finite Group Databasebeta

← Group #72539

Character table — Group #72539

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444444488881111111122222222444444444444444444888811111111222222224444444444444444448888
order1222222222224444444444444488888888444436666666666612121212121212121212121212122424242424242424121212123666666666661212121212121212121212121212242424242424242412121212
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
χ511111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-11-1-1111-1-111-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i11-1-11-1-1111-1-111-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i11-1-11-1-1111-1-111-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ1011-1-11-1-1111-1-111-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii11-1-11-1-1111-1-111-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii11-1-11-1-1111-1-111-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ1111-1-11-1-1111-1-111-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii11-1-11-1-1111-1-111-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii11-1-11-1-1111-1-111-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ1211-1-11-1-1111-1-111-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i11-1-11-1-1111-1-111-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i11-1-11-1-1111-1-111-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i
χ1311-1-11-1-11-1-11111-1-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii11-1-11-1-11-1-11111-1-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii11-1-11-1-11-1-11111-1-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii
χ1411-1-11-1-11-1-11111-1-1-1111-1-1-1-111−i−iiiii−i−i−iii−i11-1-11-1-11-1-11111-1-1-1111-1-1-1-111−i−iiiii−i−i−iii−i11-1-11-1-11-1-11111-1-1-1111-1-1-1-111−i−iiiii−i−i−iii−i
χ1511-1-11-1-11-1-11111-1-1-11-1-11111-1-1ii−i−i−i−iii−iii−i11-1-11-1-11-1-11111-1-1-11-1-11111-1-1ii−i−i−i−iii−iii−i11-1-11-1-11-1-11111-1-1-11-1-11111-1-1ii−i−i−i−iii−iii−i
χ1611-1-11-1-11-1-11111-1-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii11-1-11-1-11-1-11111-1-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii11-1-11-1-11-1-11111-1-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222-2-2-2-2-2-200000000000000000000222222222222-2-2-2-2-2-200000000000000000000222222222222-2-2-2-2-2-200000000000000000000
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
χ192222-2-2-2-22-22-2000000000000002−22−22−22−200002222-2-2-2-22-22-2000000000000002−22−22−22−200002222-2-2-2-22-22-2000000000000002−22−22−22−20000
χ202222-2-2-2-22-22-200000000000000−22−22−22−2200002222-2-2-2-22-22-200000000000000−22−22−22−2200002222-2-2-2-22-22-200000000000000−22−22−22−220000
χ212222-2-2-2-2-22-22000000000000002−22−2−22−2200002222-2-2-2-2-22-22000000000000002−22−2−22−2200002222-2-2-2-2-22-22000000000000002−22−2−22−220000
χ222222-2-2-2-2-22-2200000000000000−22−222−22−200002222-2-2-2-2-22-2200000000000000−22−222−22−200002222-2-2-2-2-22-2200000000000000−22−222−22−20000
χ2322-2-22-2-2222-2-2-2-222-220000000000000000000022-2-22-2-2222-2-2-2-222-220000000000000000000022-2-22-2-2222-2-2-2-222-2200000000000000000000
χ2422-2-22-2-22-2-222-2-2222-20000000000000000000022-2-22-2-22-2-222-2-2222-20000000000000000000022-2-22-2-22-2-222-2-2222-200000000000000000000
χ2522-2-2-222-22-2-2200000000000000i2−i2−i2i2i2−i2−i2i2000022-2-2-222-22-2-2200000000000000i2−i2−i2i2i2−i2−i2i2000022-2-2-222-22-2-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ2622-2-2-222-22-2-2200000000000000−i2i2i2−i2−i2i2i2−i2000022-2-2-222-22-2-2200000000000000−i2i2i2−i2−i2i2i2−i2000022-2-2-222-22-2-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ2722-2-2-222-2-222-200000000000000i2−i2−i2i2−i2i2i2−i2000022-2-2-222-2-222-200000000000000i2−i2−i2i2−i2i2i2−i2000022-2-2-222-2-222-200000000000000i2−i2−i2i2−i2i2i2−i20000
χ2822-2-2-222-2-222-200000000000000−i2i2i2−i2i2−i2−i2i2000022-2-2-222-2-222-200000000000000−i2i2i2−i2i2−i2−i2i2000022-2-2-222-2-222-200000000000000−i2i2i2−i2i2−i2−i2i20000
χ292-22-222-2-200002-22-20000002i−2i2i−2i0000000000002-22-222-2-200002-22-20000002i−2i2i−2i0000000000002-22-222-2-200002-22-20000002i−2i2i−2i000000000000
χ302-22-222-2-200002-22-2000000−2i2i−2i2i0000000000002-22-222-2-200002-22-2000000−2i2i−2i2i0000000000002-22-222-2-200002-22-2000000−2i2i−2i2i000000000000
χ312-22-222-2-20000-22-22002i−2i2i−2i00000000000000002-22-222-2-20000-22-22002i−2i2i−2i00000000000000002-22-222-2-20000-22-22002i−2i2i−2i0000000000000000
χ322-22-222-2-20000-22-2200−2i2i−2i2i00000000000000002-22-222-2-20000-22-2200−2i2i−2i2i00000000000000002-22-222-2-20000-22-2200−2i2i−2i2i0000000000000000
χ332-2-222-22-200002-2-220000002i−2i−2i2i0000000000002-2-222-22-200002-2-220000002i−2i−2i2i0000000000002-2-222-22-200002-2-220000002i−2i−2i2i000000000000
χ342-2-222-22-200002-2-22000000−2i2i2i−2i0000000000002-2-222-22-200002-2-22000000−2i2i2i−2i0000000000002-2-222-22-200002-2-22000000−2i2i2i−2i000000000000
χ352-2-222-22-20000-222-2002i−2i−2i2i00000000000000002-2-222-22-20000-222-2002i−2i−2i2i00000000000000002-2-222-22-20000-222-2002i−2i−2i2i0000000000000000
χ362-2-222-22-20000-222-200−2i2i2i−2i00000000000000002-2-222-22-20000-222-200−2i2i2i−2i00000000000000002-2-222-22-20000-222-200−2i2i2i−2i0000000000000000
χ374-44-4-4-4440000000000000000000000000000004-44-4-4-4440000000000000000000000000000004-44-4-4-444000000000000000000000000000000
χ384-4-44-44-440000000000000000000000000000004-4-44-44-440000000000000000000000000000004-4-44-44-44000000000000000000000000000000
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
χ4311111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−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
χ4411111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−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
χ4511111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+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−i321+i321+i321+i321+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4611111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−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
χ4711-1-11-1-1111-1-111-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ4811-1-11-1-1111-1-111-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22
χ4911-1-11-1-1111-1-111-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ5011-1-11-1-1111-1-111-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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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χ8311111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−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+i321−i321−i321−i321−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ8411111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+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
χ8511-1-11-1-1111-1-111-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ8611-1-11-1-1111-1-111-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14
χ8711-1-11-1-1111-1-111-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ8811-1-11-1-1111-1-111-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14
χ8911-1-11-1-11-1-11111-1-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+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
χ9011-1-11-1-11-1-11111-1-1-1111-1-1-1-111−i−iiiii−i−i−iii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+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
χ9111-1-11-1-11-1-11111-1-1-11-1-11111-1-1ii−i−i−i−iii−iii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+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
χ9211-1-11-1-11-1-11111-1-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+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
χ93222222222222-2-2-2-2-2-200000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i300000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−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
χ952222-2-2-2-22-22-2000000000000002−22−22−22−20000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i300000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i300000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ962222-2-2-2-22-22-200000000000000−22−22−22−220000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i300000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i300000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ972222-2-2-2-2-22-22000000000000002−22−2−22−220000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i31+i3−1−i300000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i31−i3−1+i300000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ982222-2-2-2-2-22-2200000000000000−22−222−22−20000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i31+i3−1−i300000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i31−i3−1+i300000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ9922-2-22-2-2222-2-2-2-222-2200000000000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i300000000000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i300000000000000000000
χ10022-2-22-2-22-2-222-2-2222-200000000000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i300000000000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i300000000000000000000
χ10122-2-2-222-22-2-2200000000000000i2−i2−i2i2i2−i2−i2i20000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000
χ10222-2-2-222-22-2-2200000000000000−i2i2i2−i2−i2i2i2−i20000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000
χ10322-2-2-222-2-222-200000000000000i2−i2−i2i2−i2i2i2−i20000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300000000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300000000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000
χ10422-2-2-222-2-222-200000000000000−i2i2i2−i2i2−i2−i2i20000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300000000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300000000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000
χ1052-22-222-2-200002-22-20000002i−2i2i−2i000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i30000002ζ22−2ζ222ζ22−2ζ22000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i30000002ζ14−2ζ142ζ14−2ζ14000000000000
χ1062-22-222-2-200002-22-2000000−2i2i−2i2i000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i3000000−2ζ222ζ22−2ζ222ζ22000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i3000000−2ζ142ζ14−2ζ142ζ14000000000000
χ1072-22-222-2-20000-22-22002i−2i2i−2i0000000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i3002ζ22−2ζ222ζ22−2ζ220000000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i3002ζ14−2ζ142ζ14−2ζ140000000000000000
χ1082-22-222-2-20000-22-2200−2i2i−2i2i0000000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i300−2ζ222ζ22−2ζ222ζ220000000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i300−2ζ142ζ14−2ζ142ζ140000000000000000
χ1092-2-222-22-200002-2-220000002i−2i−2i2i000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i30000002ζ22−2ζ22−2ζ222ζ22000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i30000002ζ14−2ζ14−2ζ142ζ14000000000000
χ1102-2-222-22-200002-2-22000000−2i2i2i−2i000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i3000000−2ζ222ζ222ζ22−2ζ22000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i3000000−2ζ142ζ142ζ14−2ζ14000000000000
χ1112-2-222-22-20000-222-2002i−2i−2i2i0000000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i3002ζ22−2ζ22−2ζ222ζ220000000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i3002ζ14−2ζ14−2ζ142ζ140000000000000000
χ1122-2-222-22-20000-222-200−2i2i2i−2i0000000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i300−2ζ222ζ222ζ22−2ζ220000000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i300−2ζ142ζ142ζ14−2ζ140000000000000000
χ1134-44-4-4-444000000000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3000000000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3000000000000000000000000000000
χ1144-4-44-44-44000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i3000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i3000000000000000000000000000000

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