Finite Group Databasebeta

← Group #10593586

Character table — Group #10593586

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122333366888888881212121212121212111122333366888888881212121212121212111122333366888888881212121212121212
order124488224488361212242424242444888836121224246612122424361212242424246121212242424243612122424661212242436121224242424612121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ41111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ511-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i11-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i11-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i
χ611-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii11-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii11-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii
χ711-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii11-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii11-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii
χ811-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i11-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i11-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i
χ9222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000
χ102222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-1111100000000
χ1122-2-22i−2i22-2-22i−2i-1-111−i−iii0000000022-2-22i−2i22-2-22i−2i-1-111−i−iii0000000022-2-22i−2i22-2-22i−2i-1-111−i−iii00000000
χ1222-2-2−2i2i22-2-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i00000000
χ132-22i−2i002-22i−2i002-22i−2i0000000000002-22i−2i002-22i−2i002-22i−2i0000000000002-22i−2i002-22i−2i002-22i−2i000000000000
χ142-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000002-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000002-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ152-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000002-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000002-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ162-2−2i2i002-2−2i2i002-2−2i2i0000000000002-2−2i2i002-2−2i2i002-2−2i2i0000000000002-2−2i2i002-2−2i2i002-2−2i2i000000000000
χ172-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000002-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000002-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ182-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000002-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000002-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ19333333-1-1-1-1-1-10000000011-1-111-1-1333333-1-1-1-1-1-10000000011-1-111-1-1333333-1-1-1-1-1-10000000011-1-111-1-1
χ20333333-1-1-1-1-1-100000000-1-111-1-111333333-1-1-1-1-1-100000000-1-111-1-111333333-1-1-1-1-1-100000000-1-111-1-111
χ213333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-111
χ223333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-1
χ2333-3-33i−3i-1-111−ii000000001-1-11i−i−ii33-3-33i−3i-1-111−ii000000001-1-11i−i−ii33-3-33i−3i-1-111−ii000000001-1-11i−i−ii
χ2433-3-33i−3i-1-111−ii00000000-111-1−iii−i33-3-33i−3i-1-111−ii00000000-111-1−iii−i33-3-33i−3i-1-111−ii00000000-111-1−iii−i
χ2533-3-3−3i3i-1-111i−i000000001-1-11−iii−i33-3-3−3i3i-1-111i−i000000001-1-11−iii−i33-3-3−3i3i-1-111i−i000000001-1-11−iii−i
χ2633-3-3−3i3i-1-111i−i00000000-111-1i−i−ii33-3-3−3i3i-1-111i−i00000000-111-1i−i−ii33-3-3−3i3i-1-111i−i00000000-111-1i−i−ii
χ276-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i000000000000000000
χ286-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i000000000000000000
χ291111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3011111111111111111111-1-1-1-1-1-1-1-1−1+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+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+i32
χ311111-1-11111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+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−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ321111-1-11111-1-11111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+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−i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3311-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i−1+i32−1+i321−i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22
χ3411-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii−1+i32−1+i321−i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22
χ3511-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii−1+i32−1+i321−i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22
χ3611-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i−1+i32−1+i321−i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22
χ37222222222222-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+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−i3200000000−1−i3−1−i3−1−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+i3200000000
χ382222-2-22222-2-2-1-1-1-1111100000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ3922-2-22i−2i22-2-22i−2i-1-111−i−iii00000000−1+i3−1+i31−i31−i32ζ14−2ζ14−1+i3−1+i31−i31−i32ζ14−2ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ1400000000−1−i3−1−i31+i31+i32ζ22−2ζ22−1−i3−1−i31+i31+i32ζ22−2ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ2200000000
χ4022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i00000000−1+i3−1+i31−i31−i3−2ζ142ζ14−1+i3−1+i31−i31−i3−2ζ142ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ1400000000−1−i3−1−i31+i31+i3−2ζ222ζ22−1−i3−1−i31+i31+i3−2ζ222ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ2200000000
χ412-22i−2i002-22i−2i002-22i−2i000000000000−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ14000000000000−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ22000000000000
χ422-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ14001−i32−1+i32−ζ14ζ142ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ1300000000−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ22001+i32−1−i32−ζ22ζ22−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ1300000000
χ432-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ14001−i32−1+i32−ζ14ζ14−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ1300000000−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ22001+i32−1−i32−ζ22ζ22ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ1300000000
χ442-2−2i2i002-2−2i2i002-2−2i2i000000000000−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ14000000000000−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ22000000000000
χ452-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ14001−i32−1+i32ζ14−ζ14ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ2300000000−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ22001+i32−1−i32ζ22−ζ22−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ2300000000
χ462-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ14001−i32−1+i32ζ14−ζ14−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ2300000000−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ22001+i32−1−i32ζ22−ζ222ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ2300000000
χ47333333-1-1-1-1-1-10000000011-1-111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i3200000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i3200000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ48333333-1-1-1-1-1-100000000-1-111-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32000000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32000000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ493333-3-3-1-1-1-1110000000011-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−1+i32−1+i3200000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−1−i32−1−i3200000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ503333-3-3-1-1-1-11100000000-1-11111-1-1−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−1+i32−1+i32000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−1−i32−1−i32000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ5133-3-33i−3i-1-111−ii000000001-1-11i−i−ii−3+3i32−3+3i323−3i323−3i323ζ14−3ζ141−i321−i32−1+i32−1+i32−ζ14ζ1400000000−1+i321−i321−i32−1+i32ζ14−ζ14−ζ14ζ14−3−3i32−3−3i323+3i323+3i323ζ22−3ζ221+i321+i32−1−i32−1−i32−ζ22ζ2200000000−1−i321+i321+i32−1−i32ζ22−ζ22−ζ22ζ22
χ5233-3-33i−3i-1-111−ii00000000-111-1−iii−i−3+3i32−3+3i323−3i323−3i323ζ14−3ζ141−i321−i32−1+i32−1+i32−ζ14ζ14000000001−i32−1+i32−1+i321−i32−ζ14ζ14ζ14−ζ14−3−3i32−3−3i323+3i323+3i323ζ22−3ζ221+i321+i32−1−i32−1−i32−ζ22ζ22000000001+i32−1−i32−1−i321+i32−ζ22ζ22ζ22−ζ22
χ5333-3-3−3i3i-1-111i−i000000001-1-11−iii−i−3+3i32−3+3i323−3i323−3i32−3ζ143ζ141−i321−i32−1+i32−1+i32ζ14−ζ1400000000−1+i321−i321−i32−1+i32−ζ14ζ14ζ14−ζ14−3−3i32−3−3i323+3i323+3i32−3ζ223ζ221+i321+i32−1−i32−1−i32ζ22−ζ2200000000−1−i321+i321+i32−1−i32−ζ22ζ22ζ22−ζ22
χ5433-3-3−3i3i-1-111i−i00000000-111-1i−i−ii−3+3i32−3+3i323−3i323−3i32−3ζ143ζ141−i321−i32−1+i32−1+i32ζ14−ζ14000000001−i32−1+i32−1+i321−i32ζ14−ζ14−ζ14ζ14−3−3i32−3−3i323+3i323+3i32−3ζ223ζ221+i321+i32−1−i32−1−i32ζ22−ζ22000000001+i32−1−i32−1−i321+i32ζ22−ζ22−ζ22ζ22
χ556-66i−6i00-22−2i2i000000000000000000−3+3i33−3i36ζ14−6ζ14001−i3−1+i3−2ζ142ζ14000000000000000000−3−3i33+3i36ζ22−6ζ22001+i3−1−i3−2ζ222ζ22000000000000000000
χ566-6−6i6i00-222i−2i000000000000000000−3+3i33−3i3−6ζ146ζ14001−i3−1+i32ζ14−2ζ14000000000000000000−3−3i33+3i3−6ζ226ζ22001+i3−1−i32ζ22−2ζ22000000000000000000
χ571111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5811111111111111111111-1-1-1-1-1-1-1-1−1−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−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−i32
χ591111-1-11111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−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+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ601111-1-11111-1-11111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−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+i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ6111-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i−1−i32−1−i321+i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14
χ6211-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii−1−i32−1−i321+i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14
χ6311-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii−1−i32−1−i321+i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14
χ6411-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i−1−i32−1−i321+i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14
χ65222222222222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−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+i3200000000−1+i3−1+i3−1+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−i3200000000
χ662222-2-22222-2-2-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ6722-2-22i−2i22-2-22i−2i-1-111−i−iii00000000−1−i3−1−i31+i31+i32ζ22−2ζ22−1−i3−1−i31+i31+i32ζ22−2ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ2200000000−1+i3−1+i31−i31−i32ζ14−2ζ14−1+i3−1+i31−i31−i32ζ14−2ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ1400000000
χ6822-2-2−2i2i22-2-2−2i2i-1-111ii−i−i00000000−1−i3−1−i31+i31+i3−2ζ222ζ22−1−i3−1−i31+i31+i3−2ζ222ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ2200000000−1+i3−1+i31−i31−i3−2ζ142ζ14−1+i3−1+i31−i31−i3−2ζ142ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ1400000000
χ692-22i−2i002-22i−2i002-22i−2i000000000000−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ22000000000000−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ14000000000000
χ702-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ22001+i32−1−i32−ζ22ζ22−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ1300000000−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ14001−i32−1+i32−ζ14ζ142ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ1300000000
χ712-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000−1−i31+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ22001+i32−1−i32−ζ22ζ22ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ1300000000−1+i31−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ14001−i32−1+i32−ζ14ζ14−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ1300000000
χ722-2−2i2i002-2−2i2i002-2−2i2i000000000000−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ22000000000000−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ14000000000000
χ732-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ22001+i32−1−i32ζ22−ζ22−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ2300000000−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ14001−i32−1+i32ζ14−ζ14ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ2300000000
χ742-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000−1−i31+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ22001+i32−1−i32ζ22−ζ222ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ2300000000−1+i31−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ14001−i32−1+i32ζ14−ζ14−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ2300000000
χ75333333-1-1-1-1-1-10000000011-1-111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i3200000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i3200000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ76333333-1-1-1-1-1-100000000-1-111-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32000000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32000000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ773333-3-3-1-1-1-1110000000011-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−1−i32−1−i3200000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−1+i32−1+i3200000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ783333-3-3-1-1-1-11100000000-1-11111-1-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−1−i32−1−i32000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−1+i32−1+i32000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ7933-3-33i−3i-1-111−ii000000001-1-11i−i−ii−3−3i32−3−3i323+3i323+3i323ζ22−3ζ221+i321+i32−1−i32−1−i32−ζ22ζ2200000000−1−i321+i321+i32−1−i32ζ22−ζ22−ζ22ζ22−3+3i32−3+3i323−3i323−3i323ζ14−3ζ141−i321−i32−1+i32−1+i32−ζ14ζ1400000000−1+i321−i321−i32−1+i32ζ14−ζ14−ζ14ζ14
χ8033-3-33i−3i-1-111−ii00000000-111-1−iii−i−3−3i32−3−3i323+3i323+3i323ζ22−3ζ221+i321+i32−1−i32−1−i32−ζ22ζ22000000001+i32−1−i32−1−i321+i32−ζ22ζ22ζ22−ζ22−3+3i32−3+3i323−3i323−3i323ζ14−3ζ141−i321−i32−1+i32−1+i32−ζ14ζ14000000001−i32−1+i32−1+i321−i32−ζ14ζ14ζ14−ζ14
χ8133-3-3−3i3i-1-111i−i000000001-1-11−iii−i−3−3i32−3−3i323+3i323+3i32−3ζ223ζ221+i321+i32−1−i32−1−i32ζ22−ζ2200000000−1−i321+i321+i32−1−i32−ζ22ζ22ζ22−ζ22−3+3i32−3+3i323−3i323−3i32−3ζ143ζ141−i321−i32−1+i32−1+i32ζ14−ζ1400000000−1+i321−i321−i32−1+i32−ζ14ζ14ζ14−ζ14
χ8233-3-3−3i3i-1-111i−i00000000-111-1i−i−ii−3−3i32−3−3i323+3i323+3i32−3ζ223ζ221+i321+i32−1−i32−1−i32ζ22−ζ22000000001+i32−1−i32−1−i321+i32ζ22−ζ22−ζ22ζ22−3+3i32−3+3i323−3i323−3i32−3ζ143ζ141−i321−i32−1+i32−1+i32ζ14−ζ14000000001−i32−1+i32−1+i321−i32ζ14−ζ14−ζ14ζ14
χ836-66i−6i00-22−2i2i000000000000000000−3−3i33+3i36ζ22−6ζ22001+i3−1−i3−2ζ222ζ22000000000000000000−3+3i33−3i36ζ14−6ζ14001−i3−1+i3−2ζ142ζ14000000000000000000
χ846-6−6i6i00-222i−2i000000000000000000−3−3i33+3i3−6ζ226ζ22001+i3−1−i32ζ22−2ζ22000000000000000000−3+3i33−3i3−6ζ146ζ14001−i3−1+i32ζ14−2ζ14000000000000000000

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