Finite Group Databasebeta

← Group #72255

Character table — Group #72255

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444444488881111111122222222444444444444444444888811111111222222224444444444444444448888
order122244442244444444888888888888888822443666121212126612121212121212122424242424242424242424242424242466121236661212121266121212121212121224242424242424242424242424242424661212
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
χ511111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-1
χ611111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11-1111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11-1111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11-11
χ711111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-1111111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-1111111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-11
χ811111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-1
χ91111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−iii−i−iii−i−i1-1-111111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−iii−i−iii−i−i1-1-111111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−iii−i−iii−i−i1-1-11
χ101111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−i−i−iii−i−iii-111-11111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−i−i−iii−i−iii-111-11111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−i−i−iii−i−iii-111-1
χ111111-1-1-1-11111-1-1-1-11-1−i−iii−i−iiiii−i−iii−i−i-111-11111-1-1-1-11111-1-1-1-11-1−i−iii−i−iiiii−i−iii−i−i-111-11111-1-1-1-11111-1-1-1-11-1−i−iii−i−iiiii−i−iii−i−i-111-1
χ121111-1-1-1-11111-1-1-1-11-1−i−iii−i−iii−i−iii−i−iii1-1-111111-1-1-1-11111-1-1-1-11-1−i−iii−i−iii−i−iii−i−iii1-1-111111-1-1-1-11111-1-1-1-11-1−i−iii−i−iii−i−iii−i−iii1-1-11
χ131111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-11111-1-1
χ141111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-11111-1-1-1-111
χ151111-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-1-1-111-1-111
χ161111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1-111-1-1
χ172222222222-2-22-2-22-2-2000000000000000000002222222222-2-22-2-22-2-2000000000000000000002222222222-2-22-2-22-2-200000000000000000000
χ1822222222-2-222-222-2-2-20000000000000000000022222222-2-222-222-2-2-20000000000000000000022222222-2-222-222-2-2-200000000000000000000
χ192222-2-2-2-222-2-2-222-2-22000000000000000000002222-2-2-2-222-2-2-222-2-22000000000000000000002222-2-2-2-222-2-2-222-2-2200000000000000000000
χ202222-2-2-2-2-2-2222-2-22-22000000000000000000002222-2-2-2-2-2-2222-2-22-22000000000000000000002222-2-2-2-2-2-2222-2-22-2200000000000000000000
χ2122-2-22i2i−2i−2i002i−2i02-2000000000002−2i2−i2i2−i22−2000022-2-22i2i−2i−2i002i−2i02-2000000000002−2i2−i2i2−i22−2000022-2-22i2i−2i−2i002i−2i02-2000000000002−2i2−i2i2−i22−20000
χ2222-2-22i2i−2i−2i002i−2i02-200000000000−22−i2i2−i2i2−22000022-2-22i2i−2i−2i002i−2i02-200000000000−22−i2i2−i2i2−22000022-2-22i2i−2i−2i002i−2i02-200000000000−22−i2i2−i2i2−220000
χ2322-2-22i2i−2i−2i00−2i2i0-2200000000000i2−i2−222−2−i2i2000022-2-22i2i−2i−2i00−2i2i0-2200000000000i2−i2−222−2−i2i2000022-2-22i2i−2i−2i00−2i2i0-2200000000000i2−i2−222−2−i2i20000
χ2422-2-22i2i−2i−2i00−2i2i0-2200000000000−i2i22−2−22i2−i2000022-2-22i2i−2i−2i00−2i2i0-2200000000000−i2i22−2−22i2−i2000022-2-22i2i−2i−2i00−2i2i0-2200000000000−i2i22−2−22i2−i20000
χ2522-2-2−2i−2i2i2i002i−2i0-2200000000000i2−i22−2−22−i2i2000022-2-2−2i−2i2i2i002i−2i0-2200000000000i2−i22−2−22−i2i2000022-2-2−2i−2i2i2i002i−2i0-2200000000000i2−i22−2−22−i2i20000
χ2622-2-2−2i−2i2i2i002i−2i0-2200000000000−i2i2−222−2i2−i2000022-2-2−2i−2i2i2i002i−2i0-2200000000000−i2i2−222−2i2−i2000022-2-2−2i−2i2i2i002i−2i0-2200000000000−i2i2−222−2i2−i20000
χ2722-2-2−2i−2i2i2i00−2i2i02-2000000000002−2−i2i2−i2i22−2000022-2-2−2i−2i2i2i00−2i2i02-2000000000002−2−i2i2−i2i22−2000022-2-2−2i−2i2i2i00−2i2i02-2000000000002−2−i2i2−i2i22−20000
χ2822-2-2−2i−2i2i2i00−2i2i02-200000000000−22i2−i2i2−i2−22000022-2-2−2i−2i2i2i00−2i2i02-200000000000−22i2−i2i2−i2−22000022-2-2−2i−2i2i2i00−2i2i02-200000000000−22i2−i2i2−i2−220000
χ292-2-222-22-22-200200-200i2−i2i2−i2i2−i2i2−i20000000000002-2-222-22-22-200200-200i2−i2i2−i2i2−i2i2−i20000000000002-2-222-22-22-200200-200i2−i2i2−i2i2−i2i2−i2000000000000
χ302-2-222-22-22-200200-200−i2i2−i2i2−i2i2−i2i20000000000002-2-222-22-22-200200-200−i2i2−i2i2−i2i2−i2i20000000000002-2-222-22-22-200200-200−i2i2−i2i2−i2i2−i2i2000000000000
χ312-2-222-22-2-2200-2002002−22−2−22−220000000000002-2-222-22-2-2200-2002002−22−2−22−220000000000002-2-222-22-2-2200-2002002−22−2−22−22000000000000
χ322-2-222-22-2-2200-200200−22−222−22−20000000000002-2-222-22-2-2200-200200−22−222−22−20000000000002-2-222-22-2-2200-200200−22−222−22−2000000000000
χ332-2-22-22-222-200-2002002−2−222−2−220000000000002-2-22-22-222-200-2002002−2−222−2−220000000000002-2-22-22-222-200-2002002−2−222−2−22000000000000
χ342-2-22-22-222-200-200200−222−2−222−20000000000002-2-22-22-222-200-200200−222−2−222−20000000000002-2-22-22-222-200-200200−222−2−222−2000000000000
χ352-2-22-22-22-2200200-200i2−i2−i2i2−i2i2i2−i20000000000002-2-22-22-22-2200200-200i2−i2−i2i2−i2i2i2−i20000000000002-2-22-22-22-2200200-200i2−i2−i2i2−i2i2i2−i2000000000000
χ362-2-22-22-22-2200200-200−i2i2i2−i2i2−i2−i2i20000000000002-2-22-22-22-2200200-200−i2i2i2−i2i2−i2−i2i20000000000002-2-22-22-22-2200200-200−i2i2i2−i2i2−i2−i2i2000000000000
χ374-44-44i−4i−4i4i0000000000000000000000000000004-44-44i−4i−4i4i0000000000000000000000000000004-44-44i−4i−4i4i000000000000000000000000000000
χ384-44-4−4i4i4i−4i0000000000000000000000000000004-44-4−4i4i4i−4i0000000000000000000000000000004-44-4−4i4i4i−4i000000000000000000000000000000
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
χ4311111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i321−i32−1+i321−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−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32
χ4411111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11-11−1+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+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i32−1+i321−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−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i32−1−i321+i32−1−i32
χ4511111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-11−1+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−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i32−1+i321−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−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32
χ4611111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i321−i32−1+i321−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−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i321+i32−1−i321+i32
χ471111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−iii−i−iii−i−i1-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−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+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+i32−1−i32
χ481111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−i−i−iii−i−iii-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32−1+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−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i321+i32
χ491111-1-1-1-11111-1-1-1-11-1−i−iii−i−iiiii−i−iii−i−i-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32−1+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−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i321+i32
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χ80111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−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
χ8111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i321+i32−1−i321+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+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32
χ8211111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11-11−1−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−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i32−1−i321+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+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i32−1+i321−i32−1+i32
χ8311111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-11−1−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−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i32−1−i321+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−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32
χ8411111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i321+i32−1−i321+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−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i321−i32−1+i321−i32
χ851111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−iii−i−iii−i−i1-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+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−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−i32−1+i32
χ861111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−i−i−iii−i−iii-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−1−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+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i321−i32
χ871111-1-1-1-11111-1-1-1-11-1−i−iii−i−iiiii−i−iii−i−i-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32−1−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+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i321−i32
χ881111-1-1-1-11111-1-1-1-11-1−i−iii−i−iii−i−iii−i−iii1-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i321+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−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i321−i32−1+i32
χ891111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+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−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+i32−1+i321−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+i321−i321−i32
χ901111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-11111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−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
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χ1062-2-222-22-22-200200-200−i2i2−i2i2−i2i2−i2i2000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300−1−i3001+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300−1+i3001−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000000000
χ1072-2-222-22-2-2200-2002002−22−2−22−22000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3001+i300−1−i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3001−i300−1+i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000000000000
χ1082-2-222-22-2-2200-200200−22−222−22−2000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3001+i300−1−i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3001−i300−1+i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23000000000000
χ1092-2-22-22-222-200-2002002−2−222−2−22000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3001+i300−1−i300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3001−i300−1+i300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000000000000
χ1102-2-22-22-222-200-200200−222−2−222−2000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3001+i300−1−i300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3001−i300−1+i300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000000000000
χ1112-2-22-22-22-2200200-200i2−i2−i2i2−i2i2i2−i2000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i300−1−i3001+i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i300−1+i3001−i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23000000000000
χ1122-2-22-22-22-2200200-200−i2i2i2−i2i2−i2−i2i2000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i300−1−i3001+i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i300−1+i3001−i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23000000000000
χ1134-44-44i−4i−4i4i000000000000000000000000000000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ22−4ζ224ζ22000000000000000000000000000000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ14−4ζ144ζ14000000000000000000000000000000
χ1144-44-4−4i4i4i−4i000000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ224ζ22−4ζ22000000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ144ζ14−4ζ14000000000000000000000000000000

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