Finite Group Databasebeta

← Group #67946

Character table — Group #67946

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order122222444488888816161616161616164444444436666612121212242424242424484848484848484812121212121212123666661212121224242424242448484848484848481212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111-1-11-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111-1-11-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i
χ61111-1-11-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111-1-11-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111-1-11-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii
χ71111-1-11-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111-1-11-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111-1-11-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii
χ81111-1-11-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111-1-11-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111-1-11-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i
χ911-1-11-1-11-11-1-1111-111-1-111-1-1i−ii−ii−ii−i11-1-11-1-11-11-1-1111-111-1-111-1-1i−ii−ii−ii−i11-1-11-1-11-11-1-1111-111-1-111-1-1i−ii−ii−ii−i
χ1011-1-11-1-11-11-1-1111-111-1-111-1-1−ii−ii−ii−ii11-1-11-1-11-11-1-1111-111-1-111-1-1−ii−ii−ii−ii11-1-11-1-11-11-1-1111-111-1-111-1-1−ii−ii−ii−ii
χ1111-1-11-1-11-11-1-1111-1-1-111-1-111i−ii−i−ii−ii11-1-11-1-11-11-1-1111-1-1-111-1-111i−ii−i−ii−ii11-1-11-1-11-11-1-1111-1-1-111-1-111i−ii−i−ii−ii
χ1211-1-11-1-11-11-1-1111-1-1-111-1-111−ii−iii−ii−i11-1-11-1-11-11-1-1111-1-1-111-1-111−ii−iii−ii−i11-1-11-1-11-11-1-1111-1-1-111-1-111−ii−iii−ii−i
χ1311-1-1-11-1-11111-1-11-1ii−i−i−i−iiii−i−ii-111-111-1-1-11-1-11111-1-11-1ii−i−i−i−iiii−i−ii-111-111-1-1-11-1-11111-1-11-1ii−i−i−i−iiii−i−ii-111-1
χ1411-1-1-11-1-11111-1-11-1ii−i−i−i−iii−iii−i1-1-1111-1-1-11-1-11111-1-11-1ii−i−i−i−iii−iii−i1-1-1111-1-1-11-1-11111-1-11-1ii−i−i−i−iii−iii−i1-1-11
χ1511-1-1-11-1-11111-1-11-1−i−iiiii−i−ii−i−ii1-1-1111-1-1-11-1-11111-1-11-1−i−iiiii−i−ii−i−ii1-1-1111-1-1-11-1-11111-1-11-1−i−iiiii−i−ii−i−ii1-1-11
χ1611-1-1-11-1-11111-1-11-1−i−iiiii−i−i−iii−i-111-111-1-1-11-1-11111-1-11-1−i−iiiii−i−i−iii−i-111-111-1-1-11-1-11111-1-11-1−i−iiiii−i−i−iii−i-111-1
χ172222222222-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-20000000000000000
χ18222222-2-2-2-20000002−22−22−22−200000000222222-2-2-2-20000002−22−22−22−200000000222222-2-2-2-20000002−22−22−22−200000000
χ19222222-2-2-2-2000000−22−22−22−2200000000222222-2-2-2-2000000−22−22−22−2200000000222222-2-2-2-2000000−22−22−22−2200000000
χ202222-2-22-2-222222-2-200000000000000002222-2-22-2-222222-2-200000000000000002222-2-22-2-222222-2-20000000000000000
χ212222-2-2-222-2000000i2−i2i2−i2−i2i2−i2i2000000002222-2-2-222-2000000i2−i2i2−i2−i2i2−i2i2000000002222-2-2-222-2000000i2−i2i2−i2−i2i2−i2i200000000
χ222222-2-2-222-2000000−i2i2−i2i2i2−i2i2−i2000000002222-2-2-222-2000000−i2i2−i2i2i2−i2i2−i2000000002222-2-2-222-2000000−i2i2−i2i2i2−i2i2−i200000000
χ2322-2-22-22-22-20000002−2−222−2−220000000022-2-22-22-22-20000002−2−222−2−220000000022-2-22-22-22-20000002−2−222−2−2200000000
χ2422-2-22-22-22-2000000−222−2−222−20000000022-2-22-22-22-2000000−222−2−222−20000000022-2-22-22-22-2000000−222−2−222−200000000
χ2522-2-22-2-22-2222-2-2-22000000000000000022-2-22-2-22-2222-2-2-22000000000000000022-2-22-2-22-2222-2-2-220000000000000000
χ2622-2-2-2222-2-2000000i2−i2−i2i2−i2i2i2−i20000000022-2-2-2222-2-2000000i2−i2−i2i2−i2i2i2−i20000000022-2-2-2222-2-2000000i2−i2−i2i2−i2i2i2−i200000000
χ2722-2-2-2222-2-2000000−i2i2i2−i2i2−i2−i2i20000000022-2-2-2222-2-2000000−i2i2i2−i2i2−i2−i2i20000000022-2-2-2222-2-2000000−i2i2i2−i2i2−i2−i2i200000000
χ2822-2-2-22-2-222-2-222-22000000000000000022-2-2-22-2-222-2-222-22000000000000000022-2-2-22-2-222-2-222-220000000000000000
χ294-44-40000002i2−2i22i2−2i20000000000000000004-44-40000002i2−2i22i2−2i20000000000000000004-44-40000002i2−2i22i2−2i2000000000000000000
χ304-44-4000000−2i22i2−2i22i20000000000000000004-44-4000000−2i22i2−2i22i20000000000000000004-44-4000000−2i22i2−2i22i2000000000000000000
χ314-4-440000002i2−2i2−2i22i20000000000000000004-4-440000002i2−2i2−2i22i20000000000000000004-4-440000002i2−2i2−2i22i2000000000000000000
χ324-4-44000000−2i22i22i2−2i20000000000000000004-4-44000000−2i22i22i2−2i20000000000000000004-4-44000000−2i22i22i2−2i2000000000000000000
χ3311111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ351111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i321−i321−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−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−i321+i321+i321+i321+i32
χ361111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ371111-1-11-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22
χ381111-1-11-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ391111-1-11-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22
χ401111-1-11-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22
χ4111-1-11-1-11-11-1-1111-111-1-111-1-1i−ii−ii−ii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ4211-1-11-1-11-11-1-1111-111-1-111-1-1−ii−ii−ii−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22
χ4311-1-11-1-11-11-1-1111-1-1-111-1-111i−ii−i−ii−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ4411-1-11-1-11-11-1-1111-1-1-111-1-111−ii−iii−ii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22
χ4511-1-1-11-1-11111-1-11-1ii−i−i−i−iiii−i−ii-111-1−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i32
χ4611-1-1-11-1-11111-1-11-1ii−i−i−i−iii−iii−i1-1-11−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32
χ4711-1-1-11-1-11111-1-11-1−i−iiiii−i−ii−i−ii1-1-11−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32
χ4811-1-1-11-1-11111-1-11-1−i−iiiii−i−i−iii−i-111-1−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i32
χ492222222222-2-2-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i30000000000000000
χ50222222-2-2-2-20000002−22−22−22−200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000
χ51222222-2-2-2-2000000−22−22−22−2200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000
χ522222-2-22-2-222222-2-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000000000
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χ8722-2-22-22-22-20000002−2−222−2−2200000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ8822-2-22-22-22-2000000−222−2−222−200000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ8922-2-22-2-22-2222-2-2-220000000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i30000000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i30000000000000000
χ9022-2-2-2222-2-2000000i2−i2−i2i2−i2i2i2−i200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ9122-2-2-2222-2-2000000−i2i2i2−i2i2−i2−i2i200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ9222-2-2-22-2-222-2-222-220000000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i30000000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i30000000000000000
χ934-44-40000002i2−2i22i2−2i2000000000000000000−2−2i32+2i3−2−2i32+2i3000000−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13000000000000000000−2+2i32−2i3−2+2i32−2i3000000−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23000000000000000000
χ944-44-4000000−2i22i2−2i22i2000000000000000000−2−2i32+2i3−2−2i32+2i30000002ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ13000000000000000000−2+2i32−2i3−2+2i32−2i30000002ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ23000000000000000000
χ954-4-440000002i2−2i2−2i22i2000000000000000000−2−2i32+2i32+2i3−2−2i3000000−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13000000000000000000−2+2i32−2i32−2i3−2+2i3000000−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23000000000000000000
χ964-4-44000000−2i22i22i2−2i2000000000000000000−2−2i32+2i32+2i3−2−2i30000002ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ13000000000000000000−2+2i32−2i32−2i3−2+2i30000002ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ23000000000000000000

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