Finite Group Databasebeta

← Group #11920765

Character table — Group #11920765

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111133336666121212121212121212122424242432323232111133336666121212121212121212122424242432323232111133336666121212121212121212122424242432323232
order124422444444448888888824443612123612126612121212121212122424242424242424612121236121236121266121212121212121224242424242424246121212361212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ311-1-111-1-1-1-1111-11111-1-1-1-11-11-111-1-111-1-111-1-1-1-1111-11111-1-1-1-11-11-111-1-111-1-111-1-1-1-1111-11111-1-1-1-11-11-111-1-1
χ411-1-111-1-1-1-1111-1-1-1-1-11111-11-1111-1-111-1-111-1-1-1-1111-1-1-1-1-11111-11-1111-1-111-1-111-1-1-1-1111-1-1-1-1-11111-11-1111-1-1
χ522222222222222000000000000-1-1-1-122222222222222000000000000-1-1-1-122222222222222000000000000-1-1-1-1
χ622-2-222-2-2-2-2222-2000000000000-1-11122-2-222-2-2-2-2222-2000000000000-1-11122-2-222-2-2-2-2222-2000000000000-1-111
χ72-22i−2i2-22i−2i000000i2i2−i2−i222−2−20000-11i−i2-22i−2i2-22i−2i000000i2i2−i2−i222−2−20000-11i−i2-22i−2i2-22i−2i000000i2i2−i2−i222−2−20000-11i−i
χ82-22i−2i2-22i−2i000000−i2−i2i2i2−2−2220000-11i−i2-22i−2i2-22i−2i000000−i2−i2i2i2−2−2220000-11i−i2-22i−2i2-22i−2i000000−i2−i2i2i2−2−2220000-11i−i
χ92-2−2i2i2-2−2i2i000000i2i2−i2−i2−2−2220000-11−ii2-2−2i2i2-2−2i2i000000i2i2−i2−i2−2−2220000-11−ii2-2−2i2i2-2−2i2i000000i2i2−i2−i2−2−2220000-11−ii
χ102-2−2i2i2-2−2i2i000000−i2−i2i2i222−2−20000-11−ii2-2−2i2i2-2−2i2i000000−i2−i2i2i222−2−20000-11−ii2-2−2i2i2-2−2i2i000000−i2−i2i2i222−2−20000-11−ii
χ1133333333-1-1-1-1-1-111111111-1-1-1-1000033333333-1-1-1-1-1-111111111-1-1-1-1000033333333-1-1-1-1-1-111111111-1-1-1-10000
χ1233333333-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000033333333-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000033333333-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000
χ133333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11i−ii−ii−ii−i-1-11100003333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11i−ii−ii−ii−i-1-11100003333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11i−ii−ii−ii−i-1-1110000
χ143333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11−ii−ii−ii−ii11-1-100003333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11−ii−ii−ii−ii11-1-100003333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11−ii−ii−ii−ii11-1-10000
χ153333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11i−ii−ii−ii−i11-1-100003333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11i−ii−ii−ii−i11-1-100003333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11i−ii−ii−ii−i11-1-10000
χ163333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11−ii−ii−ii−ii-1-11100003333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11−ii−ii−ii−ii-1-11100003333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11−ii−ii−ii−ii-1-1110000
χ1733-3-333-3-311-1-1-111111-1-1-1-1-11-11000033-3-333-3-311-1-1-111111-1-1-1-1-11-11000033-3-333-3-311-1-1-111111-1-1-1-1-11-110000
χ1833-3-333-3-311-1-1-11-1-1-1-111111-11-1000033-3-333-3-311-1-1-11-1-1-1-111111-11-1000033-3-333-3-311-1-1-11-1-1-1-111111-11-10000
χ1933-3-3-1-1111+2i1−2i−1−2i−1+2i1-1i−ii−i−ii−ii1-1-11000033-3-3-1-1111+2i1−2i−1−2i−1+2i1-1i−ii−i−ii−ii1-1-11000033-3-3-1-1111+2i1−2i−1−2i−1+2i1-1i−ii−i−ii−ii1-1-110000
χ2033-3-3-1-1111+2i1−2i−1−2i−1+2i1-1−ii−iii−ii−i-111-1000033-3-3-1-1111+2i1−2i−1−2i−1+2i1-1−ii−iii−ii−i-111-1000033-3-3-1-1111+2i1−2i−1−2i−1+2i1-1−ii−iii−ii−i-111-10000
χ2133-3-3-1-1111−2i1+2i−1+2i−1−2i1-1i−ii−i−ii−ii-111-1000033-3-3-1-1111−2i1+2i−1+2i−1−2i1-1i−ii−i−ii−ii-111-1000033-3-3-1-1111−2i1+2i−1+2i−1−2i1-1i−ii−i−ii−ii-111-10000
χ2233-3-3-1-1111−2i1+2i−1+2i−1−2i1-1−ii−iii−ii−i1-1-11000033-3-3-1-1111−2i1+2i−1+2i−1−2i1-1−ii−iii−ii−i1-1-11000033-3-3-1-1111−2i1+2i−1+2i−1−2i1-1−ii−iii−ii−i1-1-110000
χ234-44i−4i4-44i−4i0000000000000000001-1−ii4-44i−4i4-44i−4i0000000000000000001-1−ii4-44i−4i4-44i−4i0000000000000000001-1−ii
χ244-4−4i4i4-4−4i4i0000000000000000001-1i−i4-4−4i4i4-4−4i4i0000000000000000001-1i−i4-4−4i4i4-4−4i4i0000000000000000001-1i−i
χ256666-2-2-2-22222-2-200000000000000006666-2-2-2-22222-2-200000000000000006666-2-2-2-22222-2-20000000000000000
χ2666-6-6-2-222-2-222-22000000000000000066-6-6-2-222-2-222-22000000000000000066-6-6-2-222-2-222-220000000000000000
χ276-66i−6i-22−2i2i0000002−2−22−i2i2i2−i2000000006-66i−6i-22−2i2i0000002−2−22−i2i2i2−i2000000006-66i−6i-22−2i2i0000002−2−22−i2i2i2−i200000000
χ286-66i−6i-22−2i2i000000−222−2i2−i2−i2i2000000006-66i−6i-22−2i2i000000−222−2i2−i2−i2i2000000006-66i−6i-22−2i2i000000−222−2i2−i2−i2i200000000
χ296-6−6i6i-222i−2i0000002−2−22i2−i2−i2i2000000006-6−6i6i-222i−2i0000002−2−22i2−i2−i2i2000000006-6−6i6i-222i−2i0000002−2−22i2−i2−i2i200000000
χ306-6−6i6i-222i−2i000000−222−2−i2i2i2−i2000000006-6−6i6i-222i−2i000000−222−2−i2i2i2−i2000000006-6−6i6i-222i−2i000000−222−2−i2i2i2−i200000000
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
χ3211111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3311-1-111-1-1-1-1111-11111-1-1-1-11-11-111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32
χ3411-1-111-1-1-1-1111-1-1-1-1-11111-11-1111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32
χ3522222222222222000000000000-1-1-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000000000001−i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000000000001+i321+i321+i321+i32
χ3622-2-222-2-2-2-2222-2000000000000-1-111−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000000000001−i321−i32−1+i32−1+i32−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000000000001+i321+i32−1−i32−1−i32
χ372-22i−2i2-22i−2i000000i2i2−i2−i222−2−20000-11i−i−1+i31−i32ζ14−2ζ14−1+i31−i32ζ14−2ζ14000000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300001−i32−1+i32ζ14−ζ14−1−i31+i32ζ22−2ζ22−1−i31+i32ζ22−2ζ22000000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300001+i32−1−i32ζ22−ζ22
χ382-22i−2i2-22i−2i000000−i2−i2i2i2−2−2220000-11i−i−1+i31−i32ζ14−2ζ14−1+i31−i32ζ14−2ζ14000000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300001−i32−1+i32ζ14−ζ14−1−i31+i32ζ22−2ζ22−1−i31+i32ζ22−2ζ22000000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300001+i32−1−i32ζ22−ζ22
χ392-2−2i2i2-2−2i2i000000i2i2−i2−i2−2−2220000-11−ii−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ142ζ14000000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300001−i32−1+i32−ζ14ζ14−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ222ζ22000000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300001+i32−1−i32−ζ22ζ22
χ402-2−2i2i2-2−2i2i000000−i2−i2i2i222−2−20000-11−ii−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ142ζ14000000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300001−i32−1+i32−ζ14ζ14−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ222ζ22000000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300001+i32−1−i32−ζ22ζ22
χ4133333333-1-1-1-1-1-111111111-1-1-1-10000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ4233333333-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ433333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11i−ii−ii−ii−i-1-1110000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i322ζ14+ζ20−2ζ14+ζ202ζ14+ζ20−2ζ14+ζ20−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ141−i321−i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32ζ4+2ζ22ζ4−2ζ22ζ4+2ζ22ζ4−2ζ22−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ221+i321+i32−1−i32−1−i320000
χ443333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11−ii−ii−ii−ii11-1-10000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i322ζ14+ζ20−2ζ14+ζ202ζ14+ζ20−2ζ14+ζ20−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i32−1+i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32ζ4+2ζ22ζ4−2ζ22ζ4+2ζ22ζ4−2ζ22−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i32−1−i321+i321+i320000
χ453333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11i−ii−ii−ii−i11-1-10000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−2ζ14+ζ202ζ14+ζ20−2ζ14+ζ202ζ14+ζ20−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i32−1+i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32ζ4−2ζ22ζ4+2ζ22ζ4−2ζ22ζ4+2ζ22−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i32−1−i321+i321+i320000
χ463333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11−ii−ii−ii−ii-1-1110000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−2ζ14+ζ202ζ14+ζ20−2ζ14+ζ202ζ14+ζ20−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ141−i321−i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32ζ4−2ζ22ζ4+2ζ22ζ4−2ζ22ζ4+2ζ22−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ221+i321+i32−1−i32−1−i320000
χ4733-3-333-3-311-1-1-111111-1-1-1-1-11-110000−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i320000−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i320000
χ4833-3-333-3-311-1-1-11-1-1-1-111111-11-10000−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i320000−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i320000
χ4933-3-3-1-1111+2i1−2i−1−2i−1+2i1-1i−ii−i−ii−ii1-1-110000−3+3i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i322ζ14−ζ20−2ζ14−ζ20−2ζ14+ζ202ζ14+ζ20−1+i321−i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−1+i321−i321−i32−1+i320000−3−3i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i32−ζ4+2ζ22−ζ4−2ζ22ζ4−2ζ22ζ4+2ζ22−1−i321+i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−1−i321+i321+i32−1−i320000
χ5033-3-3-1-1111+2i1−2i−1−2i−1+2i1-1−ii−iii−ii−i-111-10000−3+3i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i322ζ14−ζ20−2ζ14−ζ20−2ζ14+ζ202ζ14+ζ20−1+i321−i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ141−i32−1+i32−1+i321−i320000−3−3i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i32−ζ4+2ζ22−ζ4−2ζ22ζ4−2ζ22ζ4+2ζ22−1−i321+i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ221+i32−1−i32−1−i321+i320000
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χ6311-1-111-1-1-1-1111-11111-1-1-1-11-11-111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32
χ6411-1-111-1-1-1-1111-1-1-1-1-11111-11-1111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32
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χ702-2−2i2i2-2−2i2i000000−i2−i2i2i222−2−20000-11−ii−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ222ζ22000000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300001+i32−1−i32−ζ22ζ22−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ142ζ14000000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300001−i32−1+i32−ζ14ζ14
χ7133333333-1-1-1-1-1-111111111-1-1-1-10000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ7233333333-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ733333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11i−ii−ii−ii−i-1-1110000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32ζ4+2ζ22ζ4−2ζ22ζ4+2ζ22ζ4−2ζ22−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ221+i321+i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i322ζ14+ζ20−2ζ14+ζ202ζ14+ζ20−2ζ14+ζ20−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ141−i321−i32−1+i32−1+i320000
χ743333-1-1-1-1−1+2i−1−2i−1+2i−1−2i11−ii−ii−ii−ii11-1-10000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32ζ4+2ζ22ζ4−2ζ22ζ4+2ζ22ζ4−2ζ22−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i32−1−i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i322ζ14+ζ20−2ζ14+ζ202ζ14+ζ20−2ζ14+ζ20−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i32−1+i321−i321−i320000
χ753333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11i−ii−ii−ii−i11-1-10000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32ζ4−2ζ22ζ4+2ζ22ζ4−2ζ22ζ4+2ζ22−1−i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i32−1−i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−2ζ14+ζ202ζ14+ζ20−2ζ14+ζ202ζ14+ζ20−1+i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i32−1+i321−i321−i320000
χ763333-1-1-1-1−1−2i−1+2i−1−2i−1+2i11−ii−ii−ii−ii-1-1110000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32ζ4−2ζ22ζ4+2ζ22ζ4−2ζ22ζ4+2ζ22−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ221+i321+i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−2ζ14+ζ202ζ14+ζ20−2ζ14+ζ202ζ14+ζ20−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ141−i321−i32−1+i32−1+i320000
χ7733-3-333-3-311-1-1-111111-1-1-1-1-11-110000−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i320000−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i320000
χ7833-3-333-3-311-1-1-11-1-1-1-111111-11-10000−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i320000−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i320000
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χ8033-3-3-1-1111+2i1−2i−1−2i−1+2i1-1−ii−iii−ii−i-111-10000−3−3i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i32−ζ4+2ζ22−ζ4−2ζ22ζ4−2ζ22ζ4+2ζ22−1−i321+i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ221+i32−1−i32−1−i321+i320000−3+3i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i322ζ14−ζ20−2ζ14−ζ20−2ζ14+ζ202ζ14+ζ20−1+i321−i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ141−i32−1+i32−1+i321−i320000
χ8133-3-3-1-1111−2i1+2i−1+2i−1−2i1-1i−ii−i−ii−ii-111-10000−3−3i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i32−ζ4−2ζ22−ζ4+2ζ22ζ4+2ζ22ζ4−2ζ22−1−i321+i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ221+i32−1−i32−1−i321+i320000−3+3i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i32−2ζ14−ζ202ζ14−ζ202ζ14+ζ20−2ζ14+ζ20−1+i321−i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ141−i32−1+i32−1+i321−i320000
χ8233-3-3-1-1111−2i1+2i−1+2i−1−2i1-1−ii−iii−ii−i1-1-110000−3−3i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i32−ζ4−2ζ22−ζ4+2ζ22ζ4+2ζ22ζ4−2ζ22−1−i321+i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22−1−i321+i321+i32−1−i320000−3+3i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i32−2ζ14−ζ202ζ14−ζ202ζ14+ζ20−2ζ14+ζ20−1+i321−i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14−1+i321−i321−i32−1+i320000
χ834-44i−4i4-44i−4i0000000000000000001-1−ii−2−2i32+2i34ζ22−4ζ22−2−2i32+2i34ζ22−4ζ22000000000000000000−1−i321+i32−ζ22ζ22−2+2i32−2i34ζ14−4ζ14−2+2i32−2i34ζ14−4ζ14000000000000000000−1+i321−i32−ζ14ζ14
χ844-4−4i4i4-4−4i4i0000000000000000001-1i−i−2−2i32+2i3−4ζ224ζ22−2−2i32+2i3−4ζ224ζ22000000000000000000−1−i321+i32ζ22−ζ22−2+2i32−2i3−4ζ144ζ14−2+2i32−2i3−4ζ144ζ14000000000000000000−1+i321−i32ζ14−ζ14
χ856666-2-2-2-22222-2-20000000000000000−3−3i3−3−3i3−3−3i3−3−3i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000000000−3+3i3−3+3i3−3+3i3−3+3i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000000000
χ8666-6-6-2-222-2-222-220000000000000000−3−3i3−3−3i33+3i33+3i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i30000000000000000−3+3i3−3+3i33−3i33−3i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i30000000000000000
χ876-66i−6i-22−2i2i0000002−2−22−i2i2i2−i200000000−3−3i33+3i36ζ22−6ζ221+i3−1−i3−2ζ222ζ22000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−3+3i33−3i36ζ14−6ζ141−i3−1+i3−2ζ142ζ14000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ886-66i−6i-22−2i2i000000−222−2i2−i2−i2i200000000−3−3i33+3i36ζ22−6ζ221+i3−1−i3−2ζ222ζ22000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−3+3i33−3i36ζ14−6ζ141−i3−1+i3−2ζ142ζ14000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ896-6−6i6i-222i−2i0000002−2−22i2−i2−i2i200000000−3−3i33+3i3−6ζ226ζ221+i3−1−i32ζ22−2ζ22000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−3+3i33−3i3−6ζ146ζ141−i3−1+i32ζ14−2ζ14000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ906-6−6i6i-222i−2i000000−222−2−i2i2i2−i200000000−3−3i33+3i3−6ζ226ζ221+i3−1−i32ζ22−2ζ22000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−3+3i33−3i3−6ζ146ζ141−i3−1+i32ζ14−2ζ14000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000

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