Finite Group Databasebeta

← Group #64030

Character table — Group #64030

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222223333444444666666111122222222223333444444666666111122222222223333444444666666
order124423468888121288886122424242422448836121263126242424241212242424246122424242466121224243612126312624242424121224242424612242424246612122424
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
χ311111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ411111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ51111-11-1111-1-1111111-1-111-1-11-11-1-1-11111-11-1111-1-1111111-1-111-1-11-11-1-1-11111-11-1111-1-1111111-1-111-1-11-11-1-1-1
χ61111-11-1111-1-111-1-1-1-1-1-111-1-1-11-11111111-11-1111-1-111-1-1-1-1-1-111-1-1-11-11111111-11-1111-1-111-1-1-1-1-1-111-1-1-11-1111
χ71111-11-11-1-111111111-1-1-1-111-11-11-1-11111-11-11-1-111111111-1-1-1-111-11-11-1-11111-11-11-1-111111111-1-1-1-111-11-11-1-1
χ81111-11-11-1-11111-1-1-1-1-1-1-1-1111-11-1111111-11-11-1-11111-1-1-1-1-1-1-1-1111-11-1111111-11-11-1-11111-1-1-1-1-1-1-1-1111-11-111
χ911-1-111-11i−ii−i-1-1ii−i−i1-1i−ii−i1-1-11i−i11-1-111-11i−ii−i-1-1ii−i−i1-1i−ii−i1-1-11i−i11-1-111-11i−ii−i-1-1ii−i−i1-1i−ii−i1-1-11i−i
χ1011-1-111-11i−ii−i-1-1−i−iii1-1i−ii−i-111-1−ii11-1-111-11i−ii−i-1-1−i−iii1-1i−ii−i-111-1−ii11-1-111-11i−ii−i-1-1−i−iii1-1i−ii−i-111-1−ii
χ1111-1-111-11−ii−ii-1-1ii−i−i1-1−ii−ii-111-1i−i11-1-111-11−ii−ii-1-1ii−i−i1-1−ii−ii-111-1i−i11-1-111-11−ii−ii-1-1ii−i−i1-1−ii−ii-111-1i−i
χ1211-1-111-11−ii−ii-1-1−i−iii1-1−ii−ii1-1-11−ii11-1-111-11−ii−ii-1-1−i−iii1-1−ii−ii1-1-11−ii11-1-111-11−ii−ii-1-1−i−iii1-1−ii−ii1-1-11−ii
χ1311-1-1-1111i−i−ii-1-1ii−i−i-11i−i−ii11-1-1−ii11-1-1-1111i−i−ii-1-1ii−i−i-11i−i−ii11-1-1−ii11-1-1-1111i−i−ii-1-1ii−i−i-11i−i−ii11-1-1−ii
χ1411-1-1-1111i−i−ii-1-1−i−iii-11i−i−ii-1-111i−i11-1-1-1111i−i−ii-1-1−i−iii-11i−i−ii-1-111i−i11-1-1-1111i−i−ii-1-1−i−iii-11i−i−ii-1-111i−i
χ1511-1-1-1111−iii−i-1-1ii−i−i-11−iii−i-1-111−ii11-1-1-1111−iii−i-1-1ii−i−i-11−iii−i-1-111−ii11-1-1-1111−iii−i-1-1ii−i−i-11−iii−i-1-111−ii
χ1611-1-1-1111−iii−i-1-1−i−iii-11−iii−i11-1-1i−i11-1-1-1111−iii−i-1-1−i−iii-11−iii−i11-1-1i−i11-1-1-1111−iii−i-1-1−i−iii-11−iii−i11-1-1i−i
χ1722222-12-12222-1-10000-1-1-1-1-1-100000022222-12-12222-1-10000-1-1-1-1-1-100000022222-12-12222-1-10000-1-1-1-1-1-1000000
χ1822222-12-1-2-2-2-2-1-10000-1-1111100000022222-12-1-2-2-2-2-1-10000-1-1111100000022222-12-1-2-2-2-2-1-10000-1-11111000000
χ192222-2-1-2-122-2-2-1-1000011-1-1110000002222-2-1-2-122-2-2-1-1000011-1-1110000002222-2-1-2-122-2-2-1-1000011-1-111000000
χ202222-2-1-2-1-2-222-1-100001111-1-10000002222-2-1-2-1-2-222-1-100001111-1-10000002222-2-1-2-1-2-222-1-100001111-1-1000000
χ2122-2-22-1-2-12i−2i2i−2i110000-11−ii−ii00000022-2-22-1-2-12i−2i2i−2i110000-11−ii−ii00000022-2-22-1-2-12i−2i2i−2i110000-11−ii−ii000000
χ2222-2-22-1-2-1−2i2i−2i2i110000-11i−ii−i00000022-2-22-1-2-1−2i2i−2i2i110000-11i−ii−i00000022-2-22-1-2-1−2i2i−2i2i110000-11i−ii−i000000
χ2322-2-2-2-12-12i−2i−2i2i1100001-1−iii−i00000022-2-2-2-12-12i−2i−2i2i1100001-1−iii−i00000022-2-2-2-12-12i−2i−2i2i1100001-1−iii−i000000
χ2422-2-2-2-12-1−2i2i2i−2i1100001-1i−i−ii00000022-2-2-2-12-1−2i2i2i−2i1100001-1i−i−ii00000022-2-2-2-12-1−2i2i2i−2i1100001-1i−i−ii000000
χ252-22i−2i020-200002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22i−2i020-200002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22i−2i020-200002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ262-22i−2i020-200002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22i−2i020-200002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22i−2i020-200002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ272-2−2i2i020-20000−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-2−2i2i020-20000−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-2−2i2i020-20000−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ282-2−2i2i020-20000−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-2−2i2i020-20000−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-2−2i2i020-20000−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ294-44i−4i0-2020000−2i2i00000000000000004-44i−4i0-2020000−2i2i00000000000000004-44i−4i0-2020000−2i2i0000000000000000
χ304-4−4i4i0-20200002i−2i00000000000000004-4−4i4i0-20200002i−2i00000000000000004-4−4i4i0-20200002i−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
χ3311111111-1-1-1-111111111-1-1-1-1-1-1-1-111−1+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+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−i321+i321+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
χ3411111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ351111-11-1111-1-1111111-1-111-1-11-11-1-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32
χ361111-11-1111-1-111-1-1-1-1-1-111-1-1-11-1111−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32
χ371111-11-11-1-111111111-1-1-1-111-11-11-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+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+i321−i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−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−i321+i32−1−i321+i32−1−i321+i321+i32
χ381111-11-11-1-11111-1-1-1-1-1-1-1-1111-11-111−1+i32−1+i32−1+i32−1+i321−i32−1+i321−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+i321−i32−1+i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+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−i321+i32−1−i321+i32−1−i32−1−i32
χ3911-1-111-11i−ii−i-1-1ii−i−i1-1i−ii−i1-1-11i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ141−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i321−i32−1+i32ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ221+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i321+i32−1−i32ζ22−ζ22
χ4011-1-111-11i−ii−i-1-1−i−iii1-1i−ii−i-111-1−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ141−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32ζ14−ζ14ζ14−ζ141−i32−1+i32−1+i321−i32−ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ221+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32ζ22−ζ22ζ22−ζ221+i32−1−i32−1−i321+i32−ζ22ζ22
χ4111-1-111-11−ii−ii-1-1ii−i−i1-1−ii−ii-111-1i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ141−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ14ζ14−ζ14ζ141−i32−1+i32−1+i321−i32ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ221+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ22ζ22−ζ22ζ221+i32−1−i32−1−i321+i32ζ22−ζ22
χ4211-1-111-11−ii−ii-1-1−i−iii1-1−ii−ii1-1-11−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ141−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ221+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−ζ22ζ22
χ4311-1-1-1111i−i−ii-1-1ii−i−i-11i−i−ii11-1-1−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ141−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32ζ14−ζ14−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ221+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32ζ22−ζ22−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22
χ4411-1-1-1111i−i−ii-1-1−i−iii-11i−i−ii-1-111i−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ141−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14−ζ14ζ141−i321−i32−1+i32−1+i32ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ221+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22−ζ22ζ221+i321+i32−1−i32−1−i32ζ22−ζ22
χ4511-1-1-1111−iii−i-1-1ii−i−i-11−iii−i-1-111−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ141−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ221+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22ζ22
χ4611-1-1-1111−iii−i-1-1−i−iii-11−iii−i11-1-1i−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ141−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32−ζ14ζ14ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ221+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32−ζ22ζ22ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22
χ4722222-12-12222-1-10000-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i3200001−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i3200001+i321+i321+i321+i321+i321+i32000000
χ4822222-12-1-2-2-2-2-1-10000-1-11111000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i31−i31−i31−i31−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i31+i31+i31+i31+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ492222-2-1-2-122-2-2-1-1000011-1-111000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i32−1+i3−1+i31−i31−i31−i321−i320000−1+i32−1+i321−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i32−1−i3−1−i31+i31+i31+i321+i320000−1−i32−1−i321+i321+i32−1−i32−1−i32000000
χ502222-2-1-2-1-2-222-1-100001111-1-1000000−1+i3−1+i3−1+i3−1+i31−i31−i321−i31−i321−i31−i3−1+i3−1+i31−i321−i320000−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i31+i321+i31+i321+i31+i3−1−i3−1−i31+i321+i320000−1−i32−1−i32−1−i32−1−i321+i321+i32000000
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χ5422-2-2-2-12-1−2i2i2i−2i1100001-1i−i−ii000000−1+i3−1+i31−i31−i31−i31−i32−1+i31−i32−2ζ142ζ142ζ14−2ζ14−1+i32−1+i320000−1+i321−i32ζ14−ζ14−ζ14ζ14000000−1−i3−1−i31+i31+i31+i31+i32−1−i31+i32−2ζ222ζ222ζ22−2ζ22−1−i32−1−i320000−1−i321+i32ζ22−ζ22−ζ22ζ22000000
χ552-22i−2i020-200002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−1+i31−i32ζ14−2ζ140−1+i301−i300002ζ14−2ζ14−2ζ232ζ23−2ζ52ζ5000000000000−1−i31+i32ζ22−2ζ220−1−i301+i300002ζ22−2ζ22−2ζ72ζ7−2ζ132ζ13000000000000
χ562-22i−2i020-200002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−1+i31−i32ζ14−2ζ140−1+i301−i300002ζ14−2ζ142ζ23−2ζ232ζ5−2ζ5000000000000−1−i31+i32ζ22−2ζ220−1−i301+i300002ζ22−2ζ222ζ7−2ζ72ζ13−2ζ13000000000000
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χ604-4−4i4i0-20200002i−2i0000000000000000−2+2i32−2i3−4ζ144ζ1401−i30−1+i300002ζ14−2ζ140000000000000000−2−2i32+2i3−4ζ224ζ2201+i30−1−i300002ζ22−2ζ220000000000000000
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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
χ6311111111-1-1-1-111111111-1-1-1-1-1-1-1-111−1−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−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+i321−i321−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
χ6411111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ671111-11-11-1-111111111-1-1-1-111-11-11-1-1−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−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−i321+i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+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+i321−i32−1+i321−i32−1+i321−i321−i32
χ681111-11-11-1-11111-1-1-1-1-1-1-1-1111-11-111−1−i32−1−i32−1−i32−1−i321+i32−1−i321+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−i321+i32−1−i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−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+i321−i32−1+i321−i32−1+i32−1+i32
χ6911-1-111-11i−ii−i-1-1ii−i−i1-1i−ii−i1-1-11i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ221+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i321+i32−1−i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ141−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i321−i32−1+i32ζ14−ζ14
χ7011-1-111-11i−ii−i-1-1−i−iii1-1i−ii−i-111-1−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ221+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32ζ22−ζ22ζ22−ζ221+i32−1−i32−1−i321+i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ141−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32ζ14−ζ14ζ14−ζ141−i32−1+i32−1+i321−i32−ζ14ζ14
χ7111-1-111-11−ii−ii-1-1ii−i−i1-1−ii−ii-111-1i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ221+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ22ζ22−ζ22ζ221+i32−1−i32−1−i321+i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ141−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ14ζ14−ζ14ζ141−i32−1+i32−1+i321−i32ζ14−ζ14
χ7211-1-111-11−ii−ii-1-1−i−iii1-1−ii−ii1-1-11−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ221+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ141−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−ζ14ζ14
χ7311-1-1-1111i−i−ii-1-1ii−i−i-11i−i−ii11-1-1−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ221+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32ζ22−ζ22−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ141−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32ζ14−ζ14−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14
χ7411-1-1-1111i−i−ii-1-1−i−iii-11i−i−ii-1-111i−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ221+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22−ζ22ζ221+i321+i32−1−i32−1−i32ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ141−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14−ζ14ζ141−i321−i32−1+i32−1+i32ζ14−ζ14
χ7511-1-1-1111−iii−i-1-1ii−i−i-11−iii−i-1-111−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ221+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ141−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14ζ14
χ7611-1-1-1111−iii−i-1-1−i−iii-11−iii−i11-1-1i−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ221+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32−ζ22ζ22ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ141−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32−ζ14ζ14ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14
χ7722222-12-12222-1-10000-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i3200001+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i3200001−i321−i321−i321−i321−i321−i32000000
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χ894-44i−4i0-2020000−2i2i0000000000000000−2−2i32+2i34ζ22−4ζ2201+i30−1−i30000−2ζ222ζ220000000000000000−2+2i32−2i34ζ14−4ζ1401−i30−1+i30000−2ζ142ζ140000000000000000
χ904-4−4i4i0-20200002i−2i0000000000000000−2−2i32+2i3−4ζ224ζ2201+i30−1−i300002ζ22−2ζ220000000000000000−2+2i32−2i3−4ζ144ζ1401−i30−1+i300002ζ14−2ζ140000000000000000

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