Finite Group Databasebeta

← Group #64071

Character table — Group #64071

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222223333444444666666111122222222223333444444666666111122222222223333444444666666
order124422234446121288886661212128888883612126663121212612122424242466612121224242424242436121266631212126121224242424666121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ311111-1-111-1-111111111-1-11-1-111-1-1-1-111111-1-111-1-111111111-1-11-1-111-1-1-1-111111-1-111-1-111111111-1-11-1-111-1-1-1-1
χ411111-1-111-1-1111-1-1-1-11-1-11-1-1-1-1111111111-1-111-1-1111-1-1-1-11-1-11-1-1-1-1111111111-1-111-1-1111-1-1-1-11-1-11-1-1-1-11111
χ51111-11-11-11-11111111-11-1-11-1-1-111-1-11111-11-11-11-11111111-11-1-11-1-1-111-1-11111-11-11-11-11111111-11-1-11-1-1-111-1-1
χ61111-11-11-11-1111-1-1-1-1-11-1-11-111-1-1111111-11-11-11-1111-1-1-1-1-11-1-11-111-1-1111111-11-11-11-1111-1-1-1-1-11-1-11-111-1-111
χ71111-1-111-1-111111111-1-11-1-11-1-1-1-1111111-1-111-1-111111111-1-11-1-11-1-1-1-1111111-1-111-1-111111111-1-11-1-11-1-1-1-111
χ81111-1-111-1-11111-1-1-1-1-1-11-1-111111-1-11111-1-111-1-11111-1-1-1-1-1-11-1-111111-1-11111-1-111-1-11111-1-1-1-1-1-11-1-111111-1-1
χ911-1-111-11-1-111-1-1ii−i−i11-1-1-11i−ii−ii−i11-1-111-11-1-111-1-1ii−i−i11-1-1-11i−ii−ii−i11-1-111-11-1-111-1-1ii−i−i11-1-1-11i−ii−ii−i
χ1011-1-111-11-1-111-1-1−i−iii11-1-1-11−ii−ii−ii11-1-111-11-1-111-1-1−i−iii11-1-1-11−ii−ii−ii11-1-111-11-1-111-1-1−i−iii11-1-1-11−ii−ii−ii
χ1111-1-11-111-11-11-1-1ii−i−i1-11-11-1i−i−ii−ii11-1-11-111-11-11-1-1ii−i−i1-11-11-1i−i−ii−ii11-1-11-111-11-11-1-1ii−i−i1-11-11-1i−i−ii−ii
χ1211-1-11-111-11-11-1-1−i−iii1-11-11-1−iii−ii−i11-1-11-111-11-11-1-1−i−iii1-11-11-1−iii−ii−i11-1-11-111-11-11-1-1−i−iii1-11-11-1−iii−ii−i
χ1311-1-1-11111-1-11-1-1ii−i−i-1111-1-1−iii−i−ii11-1-1-11111-1-11-1-1ii−i−i-1111-1-1−iii−i−ii11-1-1-11111-1-11-1-1ii−i−i-1111-1-1−iii−i−ii
χ1411-1-1-11111-1-11-1-1−i−iii-1111-1-1i−i−iii−i11-1-1-11111-1-11-1-1−i−iii-1111-1-1i−i−iii−i11-1-1-11111-1-11-1-1−i−iii-1111-1-1i−i−iii−i
χ1511-1-1-1-1-111111-1-1ii−i−i-1-1-1111−ii−iii−i11-1-1-1-1-111111-1-1ii−i−i-1-1-1111−ii−iii−i11-1-1-1-1-111111-1-1ii−i−i-1-1-1111−ii−iii−i
χ1611-1-1-1-1-111111-1-1−i−iii-1-1-1111i−ii−i−ii11-1-1-1-1-111111-1-1−i−iii-1-1-1111i−ii−i−ii11-1-1-1-1-111111-1-1−i−iii-1-1-1111i−ii−i−ii
χ172222222-1222-1-1-10000-1-1-1-1-1-10000002222222-1222-1-1-10000-1-1-1-1-1-10000002222222-1222-1-1-10000-1-1-1-1-1-1000000
χ1822222-2-2-12-2-2-1-1-10000-111-11100000022222-2-2-12-2-2-1-1-10000-111-11100000022222-2-2-12-2-2-1-1-10000-111-111000000
χ192222-22-2-1-22-2-1-1-100001-111-110000002222-22-2-1-22-2-1-1-100001-111-110000002222-22-2-1-22-2-1-1-100001-111-11000000
χ202222-2-22-1-2-22-1-1-1000011-111-10000002222-2-22-1-2-22-1-1-1000011-111-10000002222-2-22-1-2-22-1-1-1000011-111-1000000
χ2122-2-222-2-1-2-22-1110000-1-1111-100000022-2-222-2-1-2-22-1110000-1-1111-100000022-2-222-2-1-2-22-1110000-1-1111-1000000
χ2222-2-22-22-1-22-2-1110000-11-11-1100000022-2-22-22-1-22-2-1110000-11-11-1100000022-2-22-22-1-22-2-1110000-11-11-11000000
χ2322-2-2-222-12-2-2-11100001-1-1-11100000022-2-2-222-12-2-2-11100001-1-1-11100000022-2-2-222-12-2-2-11100001-1-1-111000000
χ2422-2-2-2-2-2-1222-1110000111-1-1-100000022-2-2-2-2-2-1222-1110000111-1-1-100000022-2-2-2-2-2-1222-1110000111-1-1-1000000
χ252-22i−2i0002000-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22i−2i0002000-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22i−2i0002000-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ262-22i−2i0002000-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22i−2i0002000-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22i−2i0002000-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ272-2−2i2i0002000-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-2−2i2i0002000-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-2−2i2i0002000-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ282-2−2i2i0002000-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-2−2i2i0002000-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-2−2i2i0002000-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ294-44i−4i000-20002−2i2i00000000000000004-44i−4i000-20002−2i2i00000000000000004-44i−4i000-20002−2i2i0000000000000000
χ304-4−4i4i000-200022i−2i00000000000000004-4−4i4i000-200022i−2i00000000000000004-4−4i4i000-200022i−2i0000000000000000
χ31111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3211111111111111-1-1-1-1111111-1-1-1-1-1-1−1+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+i321−i321−i321−i321−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−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+i32
χ3311111-1-111-1-111111111-1-11-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ3411111-1-111-1-1111-1-1-1-11-1-11-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ351111-11-11-11-11111111-11-1-11-1-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ361111-11-11-11-1111-1-1-1-1-11-1-11-111-1-111−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ371111-1-111-1-111111111-1-11-1-11-1-1-1-111−1+i32−1+i32−1+i32−1+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−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ381111-1-111-1-11111-1-1-1-1-1-11-1-111111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3911-1-111-11-1-111-1-1ii−i−i11-1-1-11i−ii−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ4011-1-111-11-1-111-1-1−i−iii11-1-1-11−ii−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22
χ4111-1-11-111-11-11-1-1ii−i−i1-11-11-1i−i−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ4211-1-11-111-11-11-1-1−i−iii1-11-11-1−iii−ii−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ22ζ22−ζ22
χ4311-1-1-11111-1-11-1-1ii−i−i-1111-1-1−iii−i−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22−ζ22ζ22
χ4411-1-1-11111-1-11-1-1−i−iii-1111-1-1i−i−iii−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22ζ22−ζ22
χ4511-1-1-1-1-111111-1-1ii−i−i-1-1-1111−ii−iii−i−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22
χ4611-1-1-1-1-111111-1-1−i−iii-1-1-1111i−ii−i−ii−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22
χ472222222-1222-1-1-10000-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i3200001−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i3200001+i321+i321+i321+i321+i321+i32000000
χ4822222-2-2-12-2-2-1-1-10000-111-111000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i3200001−i32−1+i32−1+i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i3200001+i32−1−i32−1−i321+i32−1−i32−1−i32000000
χ492222-22-2-1-22-2-1-1-100001-111-11000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i321−i3−1+i31−i31−i321−i321−i320000−1+i321−i32−1+i32−1+i321−i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i321+i3−1−i31+i31+i321+i321+i320000−1−i321+i32−1−i32−1−i321+i32−1−i32000000
χ502222-2-22-1-2-22-1-1-1000011-111-1000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i31−i321−i321−i320000−1+i32−1+i321−i32−1+i32−1+i321−i32000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i31+i321+i321+i320000−1−i32−1−i321+i32−1−i32−1−i321+i32000000
χ5122-2-222-2-1-2-22-1110000-1-1111-1000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i321−i31−i3−1+i31−i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32−1+i321−i32000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i321+i31+i3−1−i31+i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32−1−i321+i32000000
χ5222-2-22-22-1-22-2-1110000-11-11-11000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i321−i3−1+i31−i31−i32−1+i32−1+i3200001−i32−1+i321−i32−1+i321−i32−1+i32000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i321+i3−1−i31+i31+i32−1−i32−1−i3200001+i32−1−i321+i32−1−i321+i32−1−i32000000
χ5322-2-2-222-12-2-2-11100001-1-1-111000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i32−1+i320000−1+i321−i321−i321−i32−1+i32−1+i32000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i32−1−i320000−1−i321+i321+i321+i32−1−i32−1−i32000000
χ5422-2-2-2-2-2-1222-1110000111-1-1-1000000−1+i3−1+i31−i31−i31−i31−i31−i31−i32−1+i3−1+i3−1+i31−i32−1+i32−1+i320000−1+i32−1+i32−1+i321−i321−i321−i32000000−1−i3−1−i31+i31+i31+i31+i31+i31+i32−1−i3−1−i3−1−i31+i32−1−i32−1−i320000−1−i32−1−i32−1−i321+i321+i321+i32000000
χ552-22i−2i0002000-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−1+i31−i32ζ14−2ζ14000−1+i30001−i32ζ14−2ζ14−2ζ232ζ23−2ζ52ζ5000000000000−1−i31+i32ζ22−2ζ22000−1−i30001+i32ζ22−2ζ22−2ζ72ζ7−2ζ132ζ13000000000000
χ562-22i−2i0002000-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−1+i31−i32ζ14−2ζ14000−1+i30001−i32ζ14−2ζ142ζ23−2ζ232ζ5−2ζ5000000000000−1−i31+i32ζ22−2ζ22000−1−i30001+i32ζ22−2ζ222ζ7−2ζ72ζ13−2ζ13000000000000
χ572-2−2i2i0002000-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−1+i31−i3−2ζ142ζ14000−1+i30001−i3−2ζ142ζ14−2ζ52ζ5−2ζ232ζ23000000000000−1−i31+i3−2ζ222ζ22000−1−i30001+i3−2ζ222ζ22−2ζ132ζ13−2ζ72ζ7000000000000
χ582-2−2i2i0002000-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−1+i31−i3−2ζ142ζ14000−1+i30001−i3−2ζ142ζ142ζ5−2ζ52ζ23−2ζ23000000000000−1−i31+i3−2ζ222ζ22000−1−i30001+i3−2ζ222ζ222ζ13−2ζ132ζ7−2ζ7000000000000
χ594-44i−4i000-20002−2i2i0000000000000000−2+2i32−2i34ζ14−4ζ140001−i3000−1+i3−2ζ142ζ140000000000000000−2−2i32+2i34ζ22−4ζ220001+i3000−1−i3−2ζ222ζ220000000000000000
χ604-4−4i4i000-200022i−2i0000000000000000−2+2i32−2i3−4ζ144ζ140001−i3000−1+i32ζ14−2ζ140000000000000000−2−2i32+2i3−4ζ224ζ220001+i3000−1−i32ζ22−2ζ220000000000000000
χ61111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6211111111111111-1-1-1-1111111-1-1-1-1-1-1−1−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−i321+i321+i321+i321+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+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−i32
χ6311111-1-111-1-111111111-1-11-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ6411111-1-111-1-1111-1-1-1-11-1-11-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ651111-11-11-11-11111111-11-1-11-1-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ661111-11-11-11-1111-1-1-1-1-11-1-11-111-1-111−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ671111-1-111-1-111111111-1-11-1-11-1-1-1-111−1−i32−1−i32−1−i32−1−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+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ681111-1-111-1-11111-1-1-1-1-1-11-1-111111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ6911-1-111-11-1-111-1-1ii−i−i11-1-1-11i−ii−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ7011-1-111-11-1-111-1-1−i−iii11-1-1-11−ii−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14
χ7111-1-11-111-11-11-1-1ii−i−i1-11-11-1i−i−ii−ii−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ7211-1-11-111-11-11-1-1−i−iii1-11-11-1−iii−ii−i−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ14ζ14−ζ14
χ7311-1-1-11111-1-11-1-1ii−i−i-1111-1-1−iii−i−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14−ζ14ζ14
χ7411-1-1-11111-1-11-1-1−i−iii-1111-1-1i−i−iii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14ζ14−ζ14
χ7511-1-1-1-1-111111-1-1ii−i−i-1-1-1111−ii−iii−i−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14
χ7611-1-1-1-1-111111-1-1−i−iii-1-1-1111i−ii−i−ii−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ772222222-1222-1-1-10000-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i3200001+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i3200001−i321−i321−i321−i321−i321−i32000000
χ7822222-2-2-12-2-2-1-1-10000-111-111000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i31+i321+i321+i3200001+i32−1−i32−1−i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i31−i321−i321−i3200001−i32−1+i32−1+i321−i32−1+i32−1+i32000000
χ792222-22-2-1-22-2-1-1-100001-111-11000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i321+i3−1−i31+i31+i321+i321+i320000−1−i321+i32−1−i32−1−i321+i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i321−i3−1+i31−i31−i321−i321−i320000−1+i321−i32−1+i32−1+i321−i32−1+i32000000
χ802222-2-22-1-2-22-1-1-1000011-111-1000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i31+i321+i321+i320000−1−i32−1−i321+i32−1−i32−1−i321+i32000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i31−i321−i321−i320000−1+i32−1+i321−i32−1+i32−1+i321−i32000000
χ8122-2-222-2-1-2-22-1110000-1-1111-1000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i321+i31+i3−1−i31+i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32−1−i321+i32000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i321−i31−i3−1+i31−i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32−1+i321−i32000000
χ8222-2-22-22-1-22-2-1110000-11-11-11000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i321+i3−1−i31+i31+i32−1−i32−1−i3200001+i32−1−i321+i32−1−i321+i32−1−i32000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i321−i3−1+i31−i31−i32−1+i32−1+i3200001−i32−1+i321−i32−1+i321−i32−1+i32000000
χ8322-2-2-222-12-2-2-11100001-1-1-111000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i32−1−i320000−1−i321+i321+i321+i32−1−i32−1−i32000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i32−1+i320000−1+i321−i321−i321−i32−1+i32−1+i32000000
χ8422-2-2-2-2-2-1222-1110000111-1-1-1000000−1−i3−1−i31+i31+i31+i31+i31+i31+i32−1−i3−1−i3−1−i31+i32−1−i32−1−i320000−1−i32−1−i32−1−i321+i321+i321+i32000000−1+i3−1+i31−i31−i31−i31−i31−i31−i32−1+i3−1+i3−1+i31−i32−1+i32−1+i320000−1+i32−1+i32−1+i321−i321−i321−i32000000
χ852-22i−2i0002000-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−1−i31+i32ζ22−2ζ22000−1−i30001+i32ζ22−2ζ22−2ζ72ζ7−2ζ132ζ13000000000000−1+i31−i32ζ14−2ζ14000−1+i30001−i32ζ14−2ζ14−2ζ232ζ23−2ζ52ζ5000000000000
χ862-22i−2i0002000-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−1−i31+i32ζ22−2ζ22000−1−i30001+i32ζ22−2ζ222ζ7−2ζ72ζ13−2ζ13000000000000−1+i31−i32ζ14−2ζ14000−1+i30001−i32ζ14−2ζ142ζ23−2ζ232ζ5−2ζ5000000000000
χ872-2−2i2i0002000-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−1−i31+i3−2ζ222ζ22000−1−i30001+i3−2ζ222ζ22−2ζ132ζ13−2ζ72ζ7000000000000−1+i31−i3−2ζ142ζ14000−1+i30001−i3−2ζ142ζ14−2ζ52ζ5−2ζ232ζ23000000000000
χ882-2−2i2i0002000-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−1−i31+i3−2ζ222ζ22000−1−i30001+i3−2ζ222ζ222ζ13−2ζ132ζ7−2ζ7000000000000−1+i31−i3−2ζ142ζ14000−1+i30001−i3−2ζ142ζ142ζ5−2ζ52ζ23−2ζ23000000000000
χ894-44i−4i000-20002−2i2i0000000000000000−2−2i32+2i34ζ22−4ζ220001+i3000−1−i3−2ζ222ζ220000000000000000−2+2i32−2i34ζ14−4ζ140001−i3000−1+i3−2ζ142ζ140000000000000000
χ904-4−4i4i000-200022i−2i0000000000000000−2−2i32+2i3−4ζ224ζ220001+i3000−1−i32ζ22−2ζ220000000000000000−2+2i32−2i3−4ζ144ζ140001−i3000−1+i32ζ14−2ζ140000000000000000

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