Finite Group Databasebeta

← Group #72259

Character table — Group #72259

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444444488881111111122222222444444444444444444888811111111222222224444444444444444448888
order122244444444444424888888888888888844443666121212121212121212121212612242424242424242424242424242424241212121236661212121212121212121212126122424242424242424242424242424242412121212
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−i11-1-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ611111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111
χ711111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ811111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ91111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i1-11-11111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i1-11-11111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−i−i−iii−i−iii-11-111111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−i−i−iii−i−iii-11-111111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−i−i−iii−i−iii-11-11
χ111111-1-1-1-11111-1-1-1-1-11−i−iii−i−iiiii−i−iii−i−i-11-111111-1-1-1-11111-1-1-1-1-11−i−iii−i−iiiii−i−iii−i−i-11-111111-1-1-1-11111-1-1-1-1-11−i−iii−i−iiiii−i−iii−i−i-11-11
χ121111-1-1-1-11111-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii1-11-11111-1-1-1-11111-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii1-11-11111-1-1-1-11111-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii1-11-1
χ131111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111-1-11
χ141111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-1-111-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-1-111-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-111-111-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-111-111-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-111-111-1
χ161111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-11-1-11
χ172222222222-2-222-2-2-2-2000000000000000000002222222222-2-222-2-2-2-2000000000000000000002222222222-2-222-2-2-2-200000000000000000000
χ1822222222-2-222-2-222-2-20000000000000000000022222222-2-222-2-222-2-20000000000000000000022222222-2-222-2-222-2-200000000000000000000
χ192222-2-2-2-222-2-2-2-2222-2000000000000000000002222-2-2-2-222-2-2-2-2222-2000000000000000000002222-2-2-2-222-2-2-2-2222-200000000000000000000
χ202222-2-2-2-2-2-22222-2-22-2000000000000000000002222-2-2-2-2-2-22222-2-22-2000000000000000000002222-2-2-2-2-2-22222-2-22-200000000000000000000
χ212-22-22i2i−2i−2i002i−2i002-200i2−i22−22−2i2−i20000000000002-22-22i2i−2i−2i002i−2i002-200i2−i22−22−2i2−i20000000000002-22-22i2i−2i−2i002i−2i002-200i2−i22−22−2i2−i2000000000000
χ222-22-22i2i−2i−2i002i−2i002-200−i2i2−22−22−i2i20000000000002-22-22i2i−2i−2i002i−2i002-200−i2i2−22−22−i2i20000000000002-22-22i2i−2i−2i002i−2i002-200−i2i2−22−22−i2i2000000000000
χ232-22-22i2i−2i−2i00−2i2i00-22002−2−i2i2i2−i2−220000000000002-22-22i2i−2i−2i00−2i2i00-22002−2−i2i2i2−i2−220000000000002-22-22i2i−2i−2i00−2i2i00-22002−2−i2i2i2−i2−22000000000000
χ242-22-22i2i−2i−2i00−2i2i00-2200−22i2−i2−i2i22−20000000000002-22-22i2i−2i−2i00−2i2i00-2200−22i2−i2−i2i22−20000000000002-22-22i2i−2i−2i00−2i2i00-2200−22i2−i2−i2i22−2000000000000
χ252-22-2−2i−2i2i2i002i−2i00-22002−2i2−i2−i2i2−220000000000002-22-2−2i−2i2i2i002i−2i00-22002−2i2−i2−i2i2−220000000000002-22-2−2i−2i2i2i002i−2i00-22002−2i2−i2−i2i2−22000000000000
χ262-22-2−2i−2i2i2i002i−2i00-2200−22−i2i2i2−i22−20000000000002-22-2−2i−2i2i2i002i−2i00-2200−22−i2i2i2−i22−20000000000002-22-2−2i−2i2i2i002i−2i00-2200−22−i2i2i2−i22−2000000000000
χ272-22-2−2i−2i2i2i00−2i2i002-200i2−i2−22−22i2−i20000000000002-22-2−2i−2i2i2i00−2i2i002-200i2−i2−22−22i2−i20000000000002-22-2−2i−2i2i2i00−2i2i002-200i2−i2−22−22i2−i2000000000000
χ282-22-2−2i−2i2i2i00−2i2i002-200−i2i22−22−2−i2i20000000000002-22-2−2i−2i2i2i00−2i2i002-200−i2i22−22−2−i2i20000000000002-22-2−2i−2i2i2i00−2i2i002-200−i2i22−22−2−i2i2000000000000
χ292-2-222i−2i2i−2i2i−2i002-20000000000002−2i2−i2i2−i22−200002-2-222i−2i2i−2i2i−2i002-20000000000002−2i2−i2i2−i22−200002-2-222i−2i2i−2i2i−2i002-20000000000002−2i2−i2i2−i22−20000
χ302-2-222i−2i2i−2i2i−2i002-2000000000000−22−i2i2−i2i2−2200002-2-222i−2i2i−2i2i−2i002-2000000000000−22−i2i2−i2i2−2200002-2-222i−2i2i−2i2i−2i002-2000000000000−22−i2i2−i2i2−220000
χ312-2-222i−2i2i−2i−2i2i00-22000000000000i2−i2−222−2−i2i200002-2-222i−2i2i−2i−2i2i00-22000000000000i2−i2−222−2−i2i200002-2-222i−2i2i−2i−2i2i00-22000000000000i2−i2−222−2−i2i20000
χ322-2-222i−2i2i−2i−2i2i00-22000000000000−i2i22−2−22i2−i200002-2-222i−2i2i−2i−2i2i00-22000000000000−i2i22−2−22i2−i200002-2-222i−2i2i−2i−2i2i00-22000000000000−i2i22−2−22i2−i20000
χ332-2-22−2i2i−2i2i2i−2i00-22000000000000i2−i22−2−22−i2i200002-2-22−2i2i−2i2i2i−2i00-22000000000000i2−i22−2−22−i2i200002-2-22−2i2i−2i2i2i−2i00-22000000000000i2−i22−2−22−i2i20000
χ342-2-22−2i2i−2i2i2i−2i00-22000000000000−i2i2−222−2i2−i200002-2-22−2i2i−2i2i2i−2i00-22000000000000−i2i2−222−2i2−i200002-2-22−2i2i−2i2i2i−2i00-22000000000000−i2i2−222−2i2−i20000
χ352-2-22−2i2i−2i2i−2i2i002-20000000000002−2−i2i2−i2i22−200002-2-22−2i2i−2i2i−2i2i002-20000000000002−2−i2i2−i2i22−200002-2-22−2i2i−2i2i−2i2i002-20000000000002−2−i2i2−i2i22−20000
χ362-2-22−2i2i−2i2i−2i2i002-2000000000000−22i2−i2i2−i2−2200002-2-22−2i2i−2i2i−2i2i002-2000000000000−22i2−i2i2−i2−2200002-2-22−2i2i−2i2i−2i2i002-2000000000000−22i2−i2i2−i2−220000
χ3744-4-44-4-4400000000000000000000000000000044-4-44-4-4400000000000000000000000000000044-4-44-4-44000000000000000000000000000000
χ3844-4-4-444-400000000000000000000000000000044-4-4-444-400000000000000000000000000000044-4-4-444-4000000000000000000000000000000
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
χ4311111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1−1+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+i32−1+i321−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−i32−1−i321+i321+i32
χ4411111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111−1+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−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+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i32−1−i32−1−i32
χ4511111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111−1+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−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+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32
χ4611111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1−1+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+i32−1+i321−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−i32−1−i321+i321+i32
χ471111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−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+i321+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32
χ481111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−i−i−iii−i−iii-11-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+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+i321+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32
χ491111-1-1-1-11111-1-1-1-1-11−i−iii−i−iiiii−i−iii−i−i-11-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+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+i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32
χ501111-1-1-1-11111-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−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+i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32
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χ531111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-111-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+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+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+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−i11-1-1−1−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−i32−1−i321+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+i32−1+i321−i321−i32
χ8211111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111−1−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+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−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i32−1+i32−1+i32
χ8311111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111−1−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+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−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32
χ8411111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1−1−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−i32−1−i321+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+i32−1+i321−i321−i32
χ851111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+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−i321−i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32
χ861111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−i−i−iii−i−iii-11-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−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−i321−i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32
χ871111-1-1-1-11111-1-1-1-1-11−i−iii−i−iiiii−i−iii−i−i-11-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−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−i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32
χ881111-1-1-1-11111-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+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−i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32
χ891111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+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−i32−1−i321+i321+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+i321−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+i32−1+i321−i321−i32−1+i32
χ901111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-1-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+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+i32−1−i32−1−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−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−i32−1+i32−1+i321−i32
χ911111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-111-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−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−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ921111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-11-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+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+i32−1−i321+i321+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+i321−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−i32−1+i321−i321−i32−1+i32
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χ1062-2-222i−2i2i−2i2i−2i002-2000000000000−22−i2i2−i2i2−220000−1−i31+i31+i3−1−i32ζ22−2ζ222ζ22−2ζ222ζ22−2ζ2200−1−i31+i3000000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i31−i3−1+i32ζ14−2ζ142ζ14−2ζ142ζ14−2ζ1400−1+i31−i3000000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ1072-2-222i−2i2i−2i−2i2i00-22000000000000i2−i2−222−2−i2i20000−1−i31+i31+i3−1−i32ζ22−2ζ222ζ22−2ζ22−2ζ222ζ22001+i3−1−i3000000000000−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ130000−1+i31−i31−i3−1+i32ζ14−2ζ142ζ14−2ζ14−2ζ142ζ14001−i3−1+i3000000000000−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ230000
χ1082-2-222i−2i2i−2i−2i2i00-22000000000000−i2i22−2−22i2−i20000−1−i31+i31+i3−1−i32ζ22−2ζ222ζ22−2ζ22−2ζ222ζ22001+i3−1−i3000000000000ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ130000−1+i31−i31−i3−1+i32ζ14−2ζ142ζ14−2ζ14−2ζ142ζ14001−i3−1+i3000000000000ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ230000
χ1092-2-22−2i2i−2i2i2i−2i00-22000000000000i2−i22−2−22−i2i20000−1−i31+i31+i3−1−i3−2ζ222ζ22−2ζ222ζ222ζ22−2ζ22001+i3−1−i3000000000000−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ130000−1+i31−i31−i3−1+i3−2ζ142ζ14−2ζ142ζ142ζ14−2ζ14001−i3−1+i3000000000000−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ230000
χ1102-2-22−2i2i−2i2i2i−2i00-22000000000000−i2i2−222−2i2−i20000−1−i31+i31+i3−1−i3−2ζ222ζ22−2ζ222ζ222ζ22−2ζ22001+i3−1−i3000000000000ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ130000−1+i31−i31−i3−1+i3−2ζ142ζ14−2ζ142ζ142ζ14−2ζ14001−i3−1+i3000000000000ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ230000
χ1112-2-22−2i2i−2i2i−2i2i002-20000000000002−2−i2i2−i2i22−20000−1−i31+i31+i3−1−i3−2ζ222ζ22−2ζ222ζ22−2ζ222ζ2200−1−i31+i3000000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i31−i31−i3−1+i3−2ζ142ζ14−2ζ142ζ14−2ζ142ζ1400−1+i31−i3000000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ230000
χ1122-2-22−2i2i−2i2i−2i2i002-2000000000000−22i2−i2i2−i2−220000−1−i31+i31+i3−1−i3−2ζ222ζ22−2ζ222ζ22−2ζ222ζ2200−1−i31+i3000000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i31−i3−1+i3−2ζ142ζ14−2ζ142ζ14−2ζ142ζ1400−1+i31−i3000000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ230000
χ11344-4-44-4-44000000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3000000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3000000000000000000000000000000
χ11444-4-4-444-4000000000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3000000000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3000000000000000000000000000000

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