Finite Group Databasebeta

← Group #67945

Character table — Group #67945

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order12442224448888881616161616161616888888883612126661212122424242424244848484848484848242424242424242436121266612121224242424242448484848484848482424242424242424
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
χ511111-1-11-1-11111-1-11111-1-1-1-1ii−i−iii−i−i11111-1-11-1-11111-1-11111-1-1-1-1ii−i−iii−i−i11111-1-11-1-11111-1-11111-1-1-1-1ii−i−iii−i−i
χ611111-1-11-1-11111-1-11111-1-1-1-1−i−iii−i−iii11111-1-11-1-11111-1-11111-1-1-1-1−i−iii−i−iii11111-1-11-1-11111-1-11111-1-1-1-1−i−iii−i−iii
χ711111-1-11-1-11111-1-1-1-1-1-11111ii−i−i−i−iii11111-1-11-1-11111-1-1-1-1-1-11111ii−i−i−i−iii11111-1-11-1-11111-1-1-1-1-1-11111ii−i−i−i−iii
χ811111-1-11-1-11111-1-1-1-1-1-11111−i−iiiii−i−i11111-1-11-1-11111-1-1-1-1-1-11111−i−iiiii−i−i11111-1-11-1-11111-1-1-1-1-1-11111−i−iiiii−i−i
χ911-1-1-11-111-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i11-1-1-11-111-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i11-1-1-11-111-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i
χ1011-1-1-11-111-111-1-11-1ii−i−iii−i−i-11-11−ii−ii11-1-1-11-111-111-1-11-1ii−i−iii−i−i-11-11−ii−ii11-1-1-11-111-111-1-11-1ii−i−iii−i−i-11-11−ii−ii
χ1111-1-1-11-111-111-1-11-1−i−iii−i−iii1-11-1−ii−ii11-1-1-11-111-111-1-11-1−i−iii−i−iii1-11-1−ii−ii11-1-1-11-111-111-1-11-1−i−iii−i−iii1-11-1−ii−ii
χ1211-1-1-11-111-111-1-11-1−i−iii−i−iii-11-11i−ii−i11-1-1-11-111-111-1-11-1−i−iii−i−iii-11-11i−ii−i11-1-1-11-111-111-1-11-1−i−iii−i−iii-11-11i−ii−i
χ1311-1-1-1-111-1111-1-1-11ii−i−i−i−iiii−i−ii-111-111-1-1-1-111-1111-1-1-11ii−i−i−i−iiii−i−ii-111-111-1-1-1-111-1111-1-1-11ii−i−i−i−iiii−i−ii-111-1
χ1411-1-1-1-111-1111-1-1-11ii−i−i−i−iii−iii−i1-1-1111-1-1-1-111-1111-1-1-11ii−i−i−i−iii−iii−i1-1-1111-1-1-1-111-1111-1-1-11ii−i−i−i−iii−iii−i1-1-11
χ1511-1-1-1-111-1111-1-1-11−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-111-1111-1-1-11−i−iiiii−i−ii−i−ii1-1-1111-1-1-1-111-1111-1-1-11−i−iiiii−i−ii−i−ii1-1-11
χ1611-1-1-1-111-1111-1-1-11−i−iiiii−i−i−iii−i-111-111-1-1-1-111-1111-1-1-11−i−iiiii−i−i−iii−i-111-111-1-1-1-111-1111-1-1-11−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
χ1822222-2-22-2-2-2-2-2-222000000000000000022222-2-22-2-2-2-2-2-222000000000000000022222-2-22-2-2-2-2-2-2220000000000000000
χ192222-22-2-2-22000000i2−i2i2−i2i2−i2i2−i2000000002222-22-2-2-22000000i2−i2i2−i2i2−i2i2−i2000000002222-22-2-2-22000000i2−i2i2−i2i2−i2i2−i200000000
χ202222-22-2-2-22000000−i2i2−i2i2−i2i2−i2i2000000002222-22-2-2-22000000−i2i2−i2i2−i2i2−i2i2000000002222-22-2-2-22000000−i2i2−i2i2−i2i2−i2i200000000
χ212222-2-22-22-2000000i2−i2i2−i2−i2i2−i2i2000000002222-2-22-22-2000000i2−i2i2−i2−i2i2−i2i2000000002222-2-22-22-2000000i2−i2i2−i2−i2i2−i2i200000000
χ222222-2-22-22-2000000−i2i2−i2i2i2−i2i2−i2000000002222-2-22-22-2000000−i2i2−i2i2i2−i2i2−i2000000002222-2-22-22-2000000−i2i2−i2i2i2−i2i2−i200000000
χ2322-2-2222-2-2-20000002−2−222−2−220000000022-2-2222-2-2-20000002−2−222−2−220000000022-2-2222-2-2-20000002−2−222−2−2200000000
χ2422-2-2222-2-2-2000000−222−2−222−20000000022-2-2222-2-2-2000000−222−2−222−20000000022-2-2222-2-2-2000000−222−2−222−200000000
χ2522-2-22-2-2-2220000002−2−22−222−20000000022-2-22-2-2-2220000002−2−22−222−20000000022-2-22-2-2-2220000002−2−22−222−200000000
χ2622-2-22-2-2-222000000−222−22−2−220000000022-2-22-2-2-222000000−222−22−2−220000000022-2-22-2-2-222000000−222−22−2−2200000000
χ2722-2-2-22-222-2-2-222-22000000000000000022-2-2-22-222-2-2-222-22000000000000000022-2-2-22-222-2-2-222-220000000000000000
χ2822-2-2-2-222-22-2-2222-2000000000000000022-2-2-2-222-22-2-2222-2000000000000000022-2-2-2-222-22-2-2222-20000000000000000
χ294-44i−4i0000002i2−2i222−220000000000000000004-44i−4i0000002i2−2i222−220000000000000000004-44i−4i0000002i2−2i222−22000000000000000000
χ304-44i−4i000000−2i22i2−22220000000000000000004-44i−4i000000−2i22i2−22220000000000000000004-44i−4i000000−2i22i2−2222000000000000000000
χ314-4−4i4i0000002i2−2i2−22220000000000000000004-4−4i4i0000002i2−2i2−22220000000000000000004-4−4i4i0000002i2−2i2−2222000000000000000000
χ324-4−4i4i000000−2i22i222−220000000000000000004-4−4i4i000000−2i22i222−220000000000000000004-4−4i4i000000−2i22i222−22000000000000000000
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
χ3711111-1-11-1-11111-1-11111-1-1-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ3811111-1-11-1-11111-1-11111-1-1-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+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−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−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−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ3911111-1-11-1-11111-1-1-1-1-1-11111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ4011111-1-11-1-11111-1-1-1-1-1-11111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+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−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−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−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ4111-1-1-11-111-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22
χ4211-1-1-11-111-111-1-11-1ii−i−iii−i−i-11-11−ii−ii−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22
χ4311-1-1-11-111-111-1-11-1−i−iii−i−iii1-11-1−ii−ii−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22
χ4411-1-1-11-111-111-1-11-1−i−iii−i−iii-11-11i−ii−i−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22
χ4511-1-1-1-111-1111-1-1-11ii−i−i−i−iiii−i−ii-111-1−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i32
χ4611-1-1-1-111-1111-1-1-11ii−i−i−i−iii−iii−i1-1-11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32
χ4711-1-1-1-111-1111-1-1-11−i−iiiii−i−ii−i−ii1-1-11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32
χ4811-1-1-1-111-1111-1-1-11−i−iiiii−i−i−iii−i-111-1−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−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
χ5022222-2-22-2-2-2-2-2-2220000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i30000000000000000
χ512222-22-2-2-22000000i2−i2i2−i2i2−i2i2−i200000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000
χ522222-22-2-2-22000000−i2i2−i2i2−i2i2−i2i200000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000
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χ862222-2-22-22-2000000−i2i2−i2i2i2−i2i2−i200000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ8722-2-2222-2-2-20000002−2−222−2−2200000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ8822-2-2222-2-2-2000000−222−2−222−200000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ8922-2-22-2-2-2220000002−2−22−222−200000000−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ9022-2-22-2-2-222000000−222−22−2−2200000000−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ9122-2-2-22-222-2-2-222-220000000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i30000000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i30000000000000000
χ9222-2-2-2-222-22-2-2222-20000000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000000000000000
χ934-44i−4i0000002i2−2i222−22000000000000000000−2−2i32+2i34ζ22−4ζ22000000−2ζ7−2ζ132ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ13000000000000000000−2+2i32−2i34ζ14−4ζ14000000−2ζ5−2ζ232ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ23000000000000000000
χ944-44i−4i000000−2i22i2−2222000000000000000000−2−2i32+2i34ζ22−4ζ220000002ζ7+2ζ13−2ζ7−2ζ132ζ7−2ζ13−2ζ7+2ζ13000000000000000000−2+2i32−2i34ζ14−4ζ140000002ζ5+2ζ23−2ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23000000000000000000
χ954-4−4i4i0000002i2−2i2−2222000000000000000000−2−2i32+2i3−4ζ224ζ22000000−2ζ7−2ζ132ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ13000000000000000000−2+2i32−2i3−4ζ144ζ14000000−2ζ5−2ζ232ζ5+2ζ23−2ζ5+2ζ232ζ5−2ζ23000000000000000000
χ964-4−4i4i000000−2i22i222−22000000000000000000−2−2i32+2i3−4ζ224ζ220000002ζ7+2ζ13−2ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13000000000000000000−2+2i32−2i3−4ζ144ζ140000002ζ5+2ζ23−2ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ23000000000000000000

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