Finite Group Databasebeta

← Group #11724459

Character table — Group #11724459

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122226688888888888812121818181836361111222266888888888888121218181818363611112222668888888888881212181818183636
order1244361212243336661212121212126128888243612123612126123336661212121212126122424242461236121236121261233366612121212121261224242424612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ311-1-111-1-1-11111111-1-1-1-1-1-1-1111-1-11-111-1-111-1-1-11111111-1-1-1-1-1-1-1111-1-11-111-1-111-1-1-11111111-1-1-1-1-1-1-1111-1-11-1
χ411-1-111-1-1-11111111-1-1-1-1-1-1-11-1-111-1111-1-111-1-1-11111111-1-1-1-1-1-1-11-1-111-1111-1-111-1-1-11111111-1-1-1-1-1-1-11-1-111-11
χ52222222222-1-1-1-1-1-1-1-1-1-1-1-1220000002222222222-1-1-1-1-1-1-1-1-1-1-1-1220000002222222222-1-1-1-1-1-1-1-1-1-1-1-122000000
χ62222-1-1-1-1222-1-12-1-122-1-1-1-1-1-10000002222-1-1-1-1222-1-12-1-122-1-1-1-1-1-10000002222-1-1-1-1222-1-12-1-122-1-1-1-1-1-1000000
χ72222-1-1-1-122-12-1-12-1-1-122-1-1-1-10000002222-1-1-1-122-12-1-12-1-1-122-1-1-1-10000002222-1-1-1-122-12-1-12-1-1-122-1-1-1-1000000
χ82222-1-1-1-122-1-12-1-12-1-1-1-122-1-10000002222-1-1-1-122-1-12-1-12-1-1-1-122-1-10000002222-1-1-1-122-1-12-1-12-1-1-1-122-1-1000000
χ922-2-222-2-2-22-1-1-1-1-1-1111111-2200000022-2-222-2-2-22-1-1-1-1-1-1111111-2200000022-2-222-2-2-22-1-1-1-1-1-1111111-22000000
χ1022-2-2-1-111-222-1-12-1-1-2-211111-100000022-2-2-1-111-222-1-12-1-1-2-211111-100000022-2-2-1-111-222-1-12-1-1-2-211111-1000000
χ1122-2-2-1-111-22-12-1-12-111-2-2111-100000022-2-2-1-111-22-12-1-12-111-2-2111-100000022-2-2-1-111-22-12-1-12-111-2-2111-1000000
χ1222-2-2-1-111-22-1-12-1-121111-2-21-100000022-2-2-1-111-22-1-12-1-121111-2-21-100000022-2-2-1-111-22-1-12-1-121111-2-21-1000000
χ132-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00i2−i22−2002-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00i2−i22−2002-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00i2−i22−200
χ142-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00−i2i2−22002-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00−i2i2−22002-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00−i2i2−2200
χ152-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00i2−i2−22002-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00i2−i2−22002-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00i2−i2−2200
χ162-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00−i2i22−2002-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00−i2i22−2002-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00−i2i22−200
χ1733333333-1-1000000000000-1-11111-1-133333333-1-1000000000000-1-11111-1-133333333-1-1000000000000-1-11111-1-1
χ1833333333-1-1000000000000-1-1-1-1-1-11133333333-1-1000000000000-1-1-1-1-1-11133333333-1-1000000000000-1-1-1-1-1-111
χ1933-3-333-3-31-10000000000001-111-1-1-1133-3-333-3-31-10000000000001-111-1-1-1133-3-333-3-31-10000000000001-111-1-1-11
χ2033-3-333-3-31-10000000000001-1-1-1111-133-3-333-3-31-10000000000001-1-1-1111-133-3-333-3-31-10000000000001-1-1-1111-1
χ214-44i−4i4-44i−4i00111-1-1-1−ii−ii−ii000000004-44i−4i4-44i−4i00111-1-1-1−ii−ii−ii000000004-44i−4i4-44i−4i00111-1-1-1−ii−ii−ii00000000
χ224-44i−4i-22−2i2i0011-2-1-12−ii−ii2i−2i000000004-44i−4i-22−2i2i0011-2-1-12−ii−ii2i−2i000000004-44i−4i-22−2i2i0011-2-1-12−ii−ii2i−2i00000000
χ234-44i−4i-22−2i2i001-21-12-1−ii2i−2i−ii000000004-44i−4i-22−2i2i001-21-12-1−ii2i−2i−ii000000004-44i−4i-22−2i2i001-21-12-1−ii2i−2i−ii00000000
χ244-44i−4i-22−2i2i00-2112-1-12i−2i−ii−ii000000004-44i−4i-22−2i2i00-2112-1-12i−2i−ii−ii000000004-44i−4i-22−2i2i00-2112-1-12i−2i−ii−ii00000000
χ254-4−4i4i4-4−4i4i00111-1-1-1i−ii−ii−i000000004-4−4i4i4-4−4i4i00111-1-1-1i−ii−ii−i000000004-4−4i4i4-4−4i4i00111-1-1-1i−ii−ii−i00000000
χ264-4−4i4i-222i−2i0011-2-1-12i−ii−i−2i2i000000004-4−4i4i-222i−2i0011-2-1-12i−ii−i−2i2i000000004-4−4i4i-222i−2i0011-2-1-12i−ii−i−2i2i00000000
χ274-4−4i4i-222i−2i001-21-12-1i−i−2i2ii−i000000004-4−4i4i-222i−2i001-21-12-1i−i−2i2ii−i000000004-4−4i4i-222i−2i001-21-12-1i−i−2i2ii−i00000000
χ284-4−4i4i-222i−2i00-2112-1-1−2i2ii−ii−i000000004-4−4i4i-222i−2i00-2112-1-1−2i2ii−ii−i000000004-4−4i4i-222i−2i00-2112-1-1−2i2ii−ii−i00000000
χ296666-3-3-3-3-2-2000000000000110000006666-3-3-3-3-2-2000000000000110000006666-3-3-3-3-2-200000000000011000000
χ3066-6-6-3-3332-2000000000000-1100000066-6-6-3-3332-2000000000000-1100000066-6-6-3-3332-2000000000000-11000000
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
χ32111111111111111111111111-1-1-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32
χ3311-1-111-1-1-11111111-1-1-1-1-1-1-1111-1-11-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32
χ3411-1-111-1-1-11111111-1-1-1-1-1-1-11-1-111-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ352222222222-1-1-1-1-1-1-1-1-1-1-1-122000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000000
χ362222-1-1-1-1222-1-12-1-122-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ372222-1-1-1-122-12-1-12-1-1-122-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000
χ382222-1-1-1-122-1-12-1-12-1-1-1-122-1-1000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32000000
χ3922-2-222-2-2-22-1-1-1-1-1-1111111-22000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i3000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i3000000
χ4022-2-2-1-111-222-1-12-1-1-2-211111-1000000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i321−i32000000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i321+i32000000
χ4122-2-2-1-111-22-12-1-12-111-2-2111-1000000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i321−i32000000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i321+i32000000
χ4222-2-2-1-111-22-1-12-1-121111-2-21-1000000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i321−i32000000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i321+i32000000
χ432-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00i2−i22−200−1+i31−i32ζ14−2ζ14−1+i31−i32ζ14−2ζ14001−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ1400−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ2300−1−i31+i32ζ22−2ζ22−1−i31+i32ζ22−2ζ22001+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ2200−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ1300
χ442-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00−i2i2−2200−1+i31−i32ζ14−2ζ14−1+i31−i32ζ14−2ζ14001−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ1400ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ2300−1−i31+i32ζ22−2ζ22−1−i31+i32ζ22−2ζ22001+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ2200ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ1300
χ452-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00i2−i2−2200−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ142ζ14001−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ1400−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ2300−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ222ζ22001+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ2200−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ1300
χ462-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00−i2i22−200−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ142ζ14001−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ1400ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ2300−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ222ζ22001+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ2200ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ1300
χ4733333333-1-1000000000000-1-11111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4833333333-1-1000000000000-1-1-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i321−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4933-3-333-3-31-10000000000001-111-1-1-11−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32000000000000−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32000000000000−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ5033-3-333-3-31-10000000000001-1-1-1111-1−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32000000000000−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32000000000000−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ514-44i−4i4-44i−4i00111-1-1-1−ii−ii−ii00000000−2+2i32−2i34ζ14−4ζ14−2+2i32−2i34ζ14−4ζ1400−1+i32−1+i32−1+i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ1400000000−2−2i32+2i34ζ22−4ζ22−2−2i32+2i34ζ22−4ζ2200−1−i32−1−i32−1−i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ2200000000
χ524-44i−4i-22−2i2i0011-2-1-12−ii−ii2i−2i00000000−2+2i32−2i34ζ14−4ζ141−i3−1+i3−2ζ142ζ1400−1+i32−1+i321−i31−i321−i32−1+i3−ζ14ζ14−ζ14ζ142ζ14−2ζ1400000000−2−2i32+2i34ζ22−4ζ221+i3−1−i3−2ζ222ζ2200−1−i32−1−i321+i31+i321+i32−1−i3−ζ22ζ22−ζ22ζ222ζ22−2ζ2200000000
χ534-44i−4i-22−2i2i001-21-12-1−ii2i−2i−ii00000000−2+2i32−2i34ζ14−4ζ141−i3−1+i3−2ζ142ζ1400−1+i321−i3−1+i321−i32−1+i31−i32−ζ14ζ142ζ14−2ζ14−ζ14ζ1400000000−2−2i32+2i34ζ22−4ζ221+i3−1−i3−2ζ222ζ2200−1−i321+i3−1−i321+i32−1−i31+i32−ζ22ζ222ζ22−2ζ22−ζ22ζ2200000000
χ544-44i−4i-22−2i2i00-2112-1-12i−2i−ii−ii00000000−2+2i32−2i34ζ14−4ζ141−i3−1+i3−2ζ142ζ14001−i3−1+i32−1+i32−1+i31−i321−i322ζ14−2ζ14−ζ14ζ14−ζ14ζ1400000000−2−2i32+2i34ζ22−4ζ221+i3−1−i3−2ζ222ζ22001+i3−1−i32−1−i32−1−i31+i321+i322ζ22−2ζ22−ζ22ζ22−ζ22ζ2200000000
χ554-4−4i4i4-4−4i4i00111-1-1-1i−ii−ii−i00000000−2+2i32−2i3−4ζ144ζ14−2+2i32−2i3−4ζ144ζ1400−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ1400000000−2−2i32+2i3−4ζ224ζ22−2−2i32+2i3−4ζ224ζ2200−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ2200000000
χ564-4−4i4i-222i−2i0011-2-1-12i−ii−i−2i2i00000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32ζ14−2ζ1400−1+i32−1+i321−i31−i321−i32−1+i3ζ14−ζ14ζ14−ζ14−2ζ142ζ1400000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32ζ22−2ζ2200−1−i32−1−i321+i31+i321+i32−1−i3ζ22−ζ22ζ22−ζ22−2ζ222ζ2200000000
χ574-4−4i4i-222i−2i001-21-12-1i−i−2i2ii−i00000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32ζ14−2ζ1400−1+i321−i3−1+i321−i32−1+i31−i32ζ14−ζ14−2ζ142ζ14ζ14−ζ1400000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32ζ22−2ζ2200−1−i321+i3−1−i321+i32−1−i31+i32ζ22−ζ22−2ζ222ζ22ζ22−ζ2200000000
χ584-4−4i4i-222i−2i00-2112-1-1−2i2ii−ii−i00000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32ζ14−2ζ14001−i3−1+i32−1+i32−1+i31−i321−i32−2ζ142ζ14ζ14−ζ14ζ14−ζ1400000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32ζ22−2ζ22001+i3−1−i32−1−i32−1−i31+i321+i32−2ζ222ζ22ζ22−ζ22ζ22−ζ2200000000
χ596666-3-3-3-3-2-200000000000011000000−3+3i3−3+3i3−3+3i3−3+3i33−3i323−3i323−3i323−3i321−i31−i3000000000000−1+i32−1+i32000000−3−3i3−3−3i3−3−3i3−3−3i33+3i323+3i323+3i323+3i321+i31+i3000000000000−1−i32−1−i32000000
χ6066-6-6-3-3332-2000000000000-11000000−3+3i3−3+3i33−3i33−3i33−3i323−3i32−3+3i32−3+3i32−1+i31−i30000000000001−i32−1+i32000000−3−3i3−3−3i33+3i33+3i33+3i323+3i32−3−3i32−3−3i32−1−i31+i30000000000001+i32−1−i32000000
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
χ62111111111111111111111111-1-1-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32
χ6311-1-111-1-1-11111111-1-1-1-1-1-1-1111-1-11-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ6411-1-111-1-1-11111111-1-1-1-1-1-1-11-1-111-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ652222222222-1-1-1-1-1-1-1-1-1-1-1-122000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000000
χ662222-1-1-1-1222-1-12-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ672222-1-1-1-122-12-1-12-1-1-122-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000
χ682222-1-1-1-122-1-12-1-12-1-1-1-122-1-1000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32000000
χ6922-2-222-2-2-22-1-1-1-1-1-1111111-22000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i3000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i3000000
χ7022-2-2-1-111-222-1-12-1-1-2-211111-1000000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i321+i32000000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i321−i32000000
χ7122-2-2-1-111-22-12-1-12-111-2-2111-1000000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i321+i32000000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i321−i32000000
χ7222-2-2-1-111-22-1-12-1-121111-2-21-1000000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i321+i32000000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i321−i32000000
χ732-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00i2−i22−200−1−i31+i32ζ22−2ζ22−1−i31+i32ζ22−2ζ22001+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ2200−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ1300−1+i31−i32ζ14−2ζ14−1+i31−i32ζ14−2ζ14001−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ1400−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ2300
χ742-22i−2i2-22i−2i00-1-1-1111i−ii−ii−i00−i2i2−2200−1−i31+i32ζ22−2ζ22−1−i31+i32ζ22−2ζ22001+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ2200ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ1300−1+i31−i32ζ14−2ζ14−1+i31−i32ζ14−2ζ14001−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ1400ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ2300
χ752-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00i2−i2−2200−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ222ζ22001+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ2200−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ1300−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ142ζ14001−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ1400−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ2300
χ762-2−2i2i2-2−2i2i00-1-1-1111−ii−ii−ii00−i2i22−200−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ222ζ22001+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ2200ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ1300−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ142ζ14001−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ1400ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ2300
χ7733333333-1-1000000000000-1-11111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ7833333333-1-1000000000000-1-1-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i320000000000001+i321+i321+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i320000000000001−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ7933-3-333-3-31-10000000000001-111-1-1-11−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32000000000000−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32000000000000−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ8033-3-333-3-31-10000000000001-1-1-1111-1−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32000000000000−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32000000000000−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ814-44i−4i4-44i−4i00111-1-1-1−ii−ii−ii00000000−2−2i32+2i34ζ22−4ζ22−2−2i32+2i34ζ22−4ζ2200−1−i32−1−i32−1−i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ2200000000−2+2i32−2i34ζ14−4ζ14−2+2i32−2i34ζ14−4ζ1400−1+i32−1+i32−1+i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ1400000000
χ824-44i−4i-22−2i2i0011-2-1-12−ii−ii2i−2i00000000−2−2i32+2i34ζ22−4ζ221+i3−1−i3−2ζ222ζ2200−1−i32−1−i321+i31+i321+i32−1−i3−ζ22ζ22−ζ22ζ222ζ22−2ζ2200000000−2+2i32−2i34ζ14−4ζ141−i3−1+i3−2ζ142ζ1400−1+i32−1+i321−i31−i321−i32−1+i3−ζ14ζ14−ζ14ζ142ζ14−2ζ1400000000
χ834-44i−4i-22−2i2i001-21-12-1−ii2i−2i−ii00000000−2−2i32+2i34ζ22−4ζ221+i3−1−i3−2ζ222ζ2200−1−i321+i3−1−i321+i32−1−i31+i32−ζ22ζ222ζ22−2ζ22−ζ22ζ2200000000−2+2i32−2i34ζ14−4ζ141−i3−1+i3−2ζ142ζ1400−1+i321−i3−1+i321−i32−1+i31−i32−ζ14ζ142ζ14−2ζ14−ζ14ζ1400000000
χ844-44i−4i-22−2i2i00-2112-1-12i−2i−ii−ii00000000−2−2i32+2i34ζ22−4ζ221+i3−1−i3−2ζ222ζ22001+i3−1−i32−1−i32−1−i31+i321+i322ζ22−2ζ22−ζ22ζ22−ζ22ζ2200000000−2+2i32−2i34ζ14−4ζ141−i3−1+i3−2ζ142ζ14001−i3−1+i32−1+i32−1+i31−i321−i322ζ14−2ζ14−ζ14ζ14−ζ14ζ1400000000
χ854-4−4i4i4-4−4i4i00111-1-1-1i−ii−ii−i00000000−2−2i32+2i3−4ζ224ζ22−2−2i32+2i3−4ζ224ζ2200−1−i32−1−i32−1−i321+i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ2200000000−2+2i32−2i3−4ζ144ζ14−2+2i32−2i3−4ζ144ζ1400−1+i32−1+i32−1+i321−i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ1400000000
χ864-4−4i4i-222i−2i0011-2-1-12i−ii−i−2i2i00000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32ζ22−2ζ2200−1−i32−1−i321+i31+i321+i32−1−i3ζ22−ζ22ζ22−ζ22−2ζ222ζ2200000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32ζ14−2ζ1400−1+i32−1+i321−i31−i321−i32−1+i3ζ14−ζ14ζ14−ζ14−2ζ142ζ1400000000
χ874-4−4i4i-222i−2i001-21-12-1i−i−2i2ii−i00000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32ζ22−2ζ2200−1−i321+i3−1−i321+i32−1−i31+i32ζ22−ζ22−2ζ222ζ22ζ22−ζ2200000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32ζ14−2ζ1400−1+i321−i3−1+i321−i32−1+i31−i32ζ14−ζ14−2ζ142ζ14ζ14−ζ1400000000
χ884-4−4i4i-222i−2i00-2112-1-1−2i2ii−ii−i00000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32ζ22−2ζ22001+i3−1−i32−1−i32−1−i31+i321+i32−2ζ222ζ22ζ22−ζ22ζ22−ζ2200000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32ζ14−2ζ14001−i3−1+i32−1+i32−1+i31−i321−i32−2ζ142ζ14ζ14−ζ14ζ14−ζ1400000000
χ896666-3-3-3-3-2-200000000000011000000−3−3i3−3−3i3−3−3i3−3−3i33+3i323+3i323+3i323+3i321+i31+i3000000000000−1−i32−1−i32000000−3+3i3−3+3i3−3+3i3−3+3i33−3i323−3i323−3i323−3i321−i31−i3000000000000−1+i32−1+i32000000
χ9066-6-6-3-3332-2000000000000-11000000−3−3i3−3−3i33+3i33+3i33+3i323+3i32−3−3i32−3−3i32−1−i31+i30000000000001+i32−1−i32000000−3+3i3−3+3i33−3i33−3i33−3i323−3i32−3+3i32−3+3i32−1+i31−i30000000000001−i32−1+i32000000

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