Finite Group Databasebeta

← Group #72245943

Character table — Group #72245943

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size11223333666666666121212121212181818181818323232323232363636363636363636363636363636363696969696969696969696969696969696108108108108108108216216216216216216216216216
order123633662449991818182666121266121212123336666618181818181818181836363636363633669999991818181818184412121212488121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321+i321+i321−i321−i32
χ51111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ61111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321−i321−i321+i321+i32
χ722222222222222222222222222222-1-1-1-1-1-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ822222222222-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ922222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-12-12-1000000000000000
χ1022222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-12-12000000000000000
χ112222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i32−1−i3−1+i3222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000000
χ122222−1−i3−1+i3−1−i3−1+i3222-11+i321−i32-11+i321−i32222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3222222−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000000
χ132222−1−i3−1+i3−1−i3−1+i3222-11+i321−i32-11+i321−i32222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i321+i321−i321+i321−i322-1−1−i31+i32−1+i31−i322-1−1−i31+i32−1+i31−i32000000000000000
χ142222−1−i3−1+i3−1−i3−1+i3222-11+i321−i32-11+i321−i32222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i321+i321−i321+i321−i32-121+i32−1−i31−i32−1+i3-121+i32−1−i31−i32−1+i3000000000000000
χ152222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i32−1+i3−1−i3222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000
χ162222−1+i3−1−i3−1+i3−1−i3222-11−i321+i32-11−i321+i32222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222222−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000
χ172222−1+i3−1−i3−1+i3−1−i3222-11−i321+i32-11−i321+i32222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i321−i321+i321−i321+i322-1−1+i31−i32−1−i31+i322-1−1+i31−i32−1−i31+i32000000000000000
χ182222−1+i3−1−i3−1+i3−1−i3222-11−i321+i32-11−i321+i32222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i321−i321+i321−i321+i32-121−i32−1+i31+i32−1−i3-121−i32−1+i31+i32−1−i3000000000000000
χ19333333333-1-1333333-13-1-1-1-133-1-1-1-1000000-1-13-1-13-1-13-1-1-1-1-1-1-1-100000000000000001111111-1-111-1-1-1-1
χ20333333333-1-1333333-13-1-1-1-133-1-1-1-1000000-1-13-1-13-1-13-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-111-1-11111
χ2133333333-13-1333333-1-1-1-13-1-1-13-13-1000000-1-1-1-1-1-1-1-1-1-1-13-13-13-10000000000000000111111-11-1-1-11-11-1
χ2233333333-13-1333333-1-1-1-13-1-1-13-13-1000000-1-1-1-1-1-1-1-1-1-1-13-13-13-10000000000000000-1-1-1-1-1-11-1111-11-11
χ2333333333-1-13333333-1-1-1-1-13-1-1-13-13000000-1-1-1-1-1-1-1-1-1-1-1-13-13-130000000000000000111111-1-11-1-1-11-11
χ2433333333-1-13333333-1-1-1-1-13-1-1-13-13000000-1-1-1-1-1-1-1-1-1-1-1-13-13-130000000000000000-1-1-1-1-1-111-1111-11-1
χ253333−3−3i32−3+3i32−3−3i32−3+3i323-1-13−3−3i32−3+3i323−3−3i32−3+3i32-13-1-1-1-1−3−3i32−3+3i321+i321+i321−i321−i320000001+i321−i323-1-1−3−3i321+i321+i32−3+3i321−i321−i32-1-11+i321+i321−i321−i32000000000000000011−1−i32−1−i32−1+i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i32
χ263333−3−3i32−3+3i32−3−3i32−3+3i323-1-13−3−3i32−3+3i323−3−3i32−3+3i32-13-1-1-1-1−3−3i32−3+3i321+i321+i321−i321−i320000001+i321−i323-1-1−3−3i321+i321+i32−3+3i321−i321−i32-1-11+i321+i321−i321−i320000000000000000-1-11+i321+i321−i321−i32-1111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ273333−3−3i32−3+3i32−3−3i32−3+3i32-13-13−3−3i32−3+3i323−3−3i32−3+3i32-1-1-1-13-11+i321−i32−3−3i321+i32−3+3i321−i320000001+i321−i32-1-1-11+i321+i321+i321−i321−i321−i323-1−3−3i321+i32−3+3i321−i32000000000000000011−1−i32−1−i32−1+i32−1+i32-11-11+i321−i32−1−i321+i32−1+i321−i32
χ283333−3−3i32−3+3i32−3−3i32−3+3i32-13-13−3−3i32−3+3i323−3−3i32−3+3i32-1-1-1-13-11+i321−i32−3−3i321+i32−3+3i321−i320000001+i321−i32-1-1-11+i321+i321+i321−i321−i321−i323-1−3−3i321+i32−3+3i321−i320000000000000000-1-11+i321+i321−i321−i321-11−1−i32−1+i321+i32−1−i321−i32−1+i32
χ293333−3−3i32−3+3i32−3−3i32−3+3i32-1-133−3−3i32−3+3i323−3−3i32−3+3i32-1-1-1-1-131+i321−i321+i32−3−3i321−i32−3+3i320000001+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-131+i32−3−3i321−i32−3+3i32000000000000000011−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i32−1−i321−i32−1+i32
χ303333−3−3i32−3+3i32−3−3i32−3+3i32-1-133−3−3i32−3+3i323−3−3i32−3+3i32-1-1-1-1-131+i321−i321+i32−3−3i321−i32−3+3i320000001+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-131+i32−3−3i321−i32−3+3i320000000000000000-1-11+i321+i321−i321−i3211-1−1−i32−1+i32−1−i321+i32−1+i321−i32
χ313333−3+3i32−3−3i32−3+3i32−3−3i323-1-13−3+3i32−3−3i323−3+3i32−3−3i32-13-1-1-1-1−3+3i32−3−3i321−i321−i321+i321+i320000001−i321+i323-1-1−3+3i321−i321−i32−3−3i321+i321+i32-1-11−i321−i321+i321+i32000000000000000011−1+i32−1+i32−1−i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i32
χ323333−3+3i32−3−3i32−3+3i32−3−3i323-1-13−3+3i32−3−3i323−3+3i32−3−3i32-13-1-1-1-1−3+3i32−3−3i321−i321−i321+i321+i320000001−i321+i323-1-1−3+3i321−i321−i32−3−3i321+i321+i32-1-11−i321−i321+i321+i320000000000000000-1-11−i321−i321+i321+i32-1111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ333333−3+3i32−3−3i32−3+3i32−3−3i32-13-13−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-13-11−i321+i32−3+3i321−i32−3−3i321+i320000001−i321+i32-1-1-11−i321−i321−i321+i321+i321+i323-1−3+3i321−i32−3−3i321+i32000000000000000011−1+i32−1+i32−1−i32−1−i32-11-11−i321+i32−1+i321−i32−1−i321+i32
χ343333−3+3i32−3−3i32−3+3i32−3−3i32-13-13−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-13-11−i321+i32−3+3i321−i32−3−3i321+i320000001−i321+i32-1-1-11−i321−i321−i321+i321+i321+i323-1−3+3i321−i32−3−3i321+i320000000000000000-1-11−i321−i321+i321+i321-11−1+i32−1−i321−i32−1+i321+i32−1−i32
χ353333−3+3i32−3−3i32−3+3i32−3−3i32-1-133−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-1-131−i321+i321−i32−3+3i321+i32−3−3i320000001−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-131−i32−3+3i321+i32−3−3i32000000000000000011−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i32−1+i321+i32−1−i32
χ363333−3+3i32−3−3i32−3+3i32−3−3i32-1-133−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-1-131−i321+i321−i32−3+3i321+i32−3−3i320000001−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-131−i32−3+3i321+i32−3−3i320000000000000000-1-11−i321−i321+i321+i3211-1−1+i32−1−i32−1+i321−i32−1−i321+i32
χ374-44-444-4-4000444-4-4-4000000000000111-1-1-10000000000000000011-1-1111111-1-1-1-1-1-12i−2i2i−2i2i−2i000000000
χ384-44-444-4-4000444-4-4-4000000000000111-1-1-10000000000000000011-1-1111111-1-1-1-1-1-1−2i2i−2i2i−2i2i000000000
χ394-44-4−2−2i3−2+2i32+2i32−2i30004−2−2i3−2+2i3-42+2i32−2i3000000000000111-1-1-100000000000000000−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i322i−2i2ζ11−2ζ112ζ7−2ζ7000000000
χ404-44-4−2−2i3−2+2i32+2i32−2i30004−2−2i3−2+2i3-42+2i32−2i3000000000000111-1-1-100000000000000000−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32−2i2i−2ζ112ζ11−2ζ72ζ7000000000
χ414-44-4−2+2i3−2−2i32−2i32+2i30004−2+2i3−2−2i3-42−2i32+2i3000000000000111-1-1-100000000000000000−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i322i−2i2ζ7−2ζ72ζ11−2ζ11000000000
χ424-44-4−2+2i3−2−2i32−2i32+2i30004−2+2i3−2−2i3-42−2i32+2i3000000000000111-1-1-100000000000000000−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32−2i2i−2ζ72ζ7−2ζ112ζ11000000000
χ43666666666-2-2-3-3-3-3-3-3-26-2-2-2-266-2-2-2-2000000-2-2-311-311-3111111110000000000000000000000000000000
χ4466666666-26-2-3-3-3-3-3-3-2-2-2-26-2-2-26-26-2000000-2-2111111111-31-31-310000000000000000000000000000000
χ4566666666-2-26-3-3-3-3-3-3-2-2-2-2-26-2-2-26-26000000-2-21111111111-31-31-30000000000000000000000000000000
χ4666666666-2-2-26666662-222-2-2-2-2-2-2-2-200000022-222-222-222-2-2-2-2-2-20000000000000000000000000000000
χ4766666666-2-2-2-3-3-3-3-3-32-222-2-2-2-2-2-2-2-2000000221−1−2i3−1+2i31−1−2i3−1+2i31−1−2i3−1+2i31111110000000000000000000000000000000
χ4866666666-2-2-2-3-3-3-3-3-32-222-2-2-2-2-2-2-2-2000000221−1+2i3−1−2i31−1+2i3−1−2i31−1+2i3−1−2i31111110000000000000000000000000000000
χ496666−3−3i3−3+3i3−3−3i3−3+3i36-2-2-33+3i323−3i32-33+3i323−3i32-26-2-2-2-2−3−3i3−3+3i31+i31+i31−i31−i30000001+i31−i3-3113+3i32−1−i32−1−i323−3i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000000000000000000000000000000
χ506666−3−3i3−3+3i3−3−3i3−3+3i3-26-2-33+3i323−3i32-33+3i323−3i32-2-2-2-26-21+i31−i3−3−3i31+i3−3+3i31−i30000001+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-313+3i32−1−i323−3i32−1+i320000000000000000000000000000000
χ516666−3−3i3−3+3i3−3−3i3−3+3i3-2-26-33+3i323−3i32-33+3i323−3i32-2-2-2-2-261+i31−i31+i3−3−3i31−i3−3+3i30000001+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-3−1−i323+3i32−1+i323−3i320000000000000000000000000000000
χ526666−3−3i3−3+3i3−3−3i3−3+3i3-2-2-26−3−3i3−3+3i36−3−3i3−3+3i32-222-2-21+i31−i31+i31+i31−i31−i3000000−1−i3−1+i3-2221+i3−1−i3−1−i31−i3−1+i3−1+i3-2-21+i31+i31−i31−i30000000000000000000000000000000
χ536666−3−3i3−3+3i3−3−3i3−3+3i3-2-2-2-33+3i323−3i32-33+3i323−3i322-222-2-21+i31−i31+i31+i31−i31−i3000000−1−i3−1+i31−1−2i3−1+2i3−1−i32−5+3i327−i32−1+i327+i32−5−3i3211−1−i32−1−i32−1+i32−1+i320000000000000000000000000000000
χ546666−3−3i3−3+3i3−3−3i3−3+3i3-2-2-2-33+3i323−3i32-33+3i323−3i322-222-2-21+i31−i31+i31+i31−i31−i3000000−1−i3−1+i31−1+2i3−1−2i3−1−i327−i32−5+3i32−1+i32−5−3i327+i3211−1−i32−1−i32−1+i32−1+i320000000000000000000000000000000
χ556666−3+3i3−3−3i3−3+3i3−3−3i36-2-2-33−3i323+3i32-33−3i323+3i32-26-2-2-2-2−3+3i3−3−3i31−i31−i31+i31+i30000001−i31+i3-3113−3i32−1+i32−1+i323+3i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i320000000000000000000000000000000
χ566666−3+3i3−3−3i3−3+3i3−3−3i3-26-2-33−3i323+3i32-33−3i323+3i32-2-2-2-26-21−i31+i3−3+3i31−i3−3−3i31+i30000001−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-313−3i32−1+i323+3i32−1−i320000000000000000000000000000000
χ576666−3+3i3−3−3i3−3+3i3−3−3i3-2-26-33−3i323+3i32-33−3i323+3i32-2-2-2-2-261−i31+i31−i3−3+3i31+i3−3−3i30000001−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-3−1+i323−3i32−1−i323+3i320000000000000000000000000000000
χ586666−3+3i3−3−3i3−3+3i3−3−3i3-2-2-26−3+3i3−3−3i36−3+3i3−3−3i32-222-2-21−i31+i31−i31−i31+i31+i3000000−1+i3−1−i3-2221−i3−1+i3−1+i31+i3−1−i3−1−i3-2-21−i31−i31+i31+i30000000000000000000000000000000
χ596666−3+3i3−3−3i3−3+3i3−3−3i3-2-2-2-33−3i323+3i32-33−3i323+3i322-222-2-21−i31+i31−i31−i31+i31+i3000000−1+i3−1−i31−1−2i3−1+2i3−1+i327+i32−5−3i32−1−i32−5+3i327−i3211−1+i32−1+i32−1−i32−1−i320000000000000000000000000000000
χ606666−3+3i3−3−3i3−3+3i3−3−3i3-2-2-2-33−3i323+3i32-33−3i323+3i322-222-2-21−i31+i31−i31−i31+i31+i3000000−1+i3−1−i31−1+2i3−1−2i3−1+i32−5−3i327+i32−1−i327−i32−5+3i3211−1+i32−1+i32−1−i32−1−i320000000000000000000000000000000
χ6166-3-300006660000006-3-3-3-3-30000006-3-36-3-3000000000000000000000000000000000000000000000000
χ6266-3-300006660000006-3-3-3-3-3000000-36-3-36-3000000000000000000000000000000000000000000000000
χ6366-3-300006660000006-3-3-3-3-3000000-3-36-3-36000000000000000000000000000000000000000000000000
χ648-88-888-8-8000888-8-8-8000000000000-1-1-111100000000000000000-1-111-1-1-1-1-1-1111111000000000000000
χ658-88-888-8-8000-4-4-4444000000000000222-2-2-20000000000000000022-2-2-1-1-1-1-1-1111111000000000000000
χ668-88-888-8-8000-4-4-4444000000000000-1-1-111100000000000000000-1-1112-12-12-1-21-21-21000000000000000
χ678-88-888-8-8000-4-4-4444000000000000-1-1-111100000000000000000-1-111-12-12-121-21-21-2000000000000000
χ688-88-8−4−4i3−4+4i34+4i34−4i30008−4−4i3−4+4i3-84+4i34−4i3000000000000-1-1-1111000000000000000001+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ698-88-8−4−4i3−4+4i34+4i34−4i3000-42+2i32−2i34−2−2i3−2+2i3000000000000222-2-2-200000000000000000−1−i3−1+i31+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ708-88-8−4−4i3−4+4i34+4i34−4i3000-42+2i32−2i34−2−2i3−2+2i3000000000000-1-1-1111000000000000000001+i321−i32−1−i32−1+i322-1−1−i31+i32−1+i31−i32-211+i3−1−i321−i3−1+i32000000000000000
χ718-88-8−4−4i3−4+4i34+4i34−4i3000-42+2i32−2i34−2−2i3−2+2i3000000000000-1-1-1111000000000000000001+i321−i32−1−i32−1+i32-121+i32−1−i31−i32−1+i31-2−1−i321+i3−1+i321−i3000000000000000
χ728-88-8−4+4i3−4−4i34−4i34+4i30008−4+4i3−4−4i3-84−4i34+4i3000000000000-1-1-1111000000000000000001−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000
χ738-88-8−4+4i3−4−4i34−4i34+4i3000-42−2i32+2i34−2+2i3−2−2i3000000000000222-2-2-200000000000000000−1+i3−1−i31−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000
χ748-88-8−4+4i3−4−4i34−4i34+4i3000-42−2i32+2i34−2+2i3−2−2i3000000000000-1-1-1111000000000000000001−i321+i32−1+i32−1−i322-1−1+i31−i32−1−i31+i32-211−i3−1+i321+i3−1−i32000000000000000
χ758-88-8−4+4i3−4−4i34−4i34+4i3000-42−2i32+2i34−2+2i3−2−2i3000000000000-1-1-1111000000000000000001−i321+i32−1+i32−1−i32-121−i32−1+i31+i32−1−i31-2−1+i321−i3−1−i321+i3000000000000000
χ761818-9-9000018-6-6000000-6-93333000000000000000000000000000000000000000000000000000000000000
χ771818-9-90000-618-6000000-6333-93000000000000000000000000000000000000000000000000000000000000
χ781818-9-90000-6-618000000-63333-9000000000000000000000000000000000000000000000000000000000000
χ791818-9-90000-6-6-600000063−3−6i3−3+6i333000000000000000000000000000000000000000000000000000000000000
χ801818-9-90000-6-6-600000063−3+6i3−3−6i333000000000000000000000000000000000000000000000000000000000000
χ8124-24-121200000000000000000000000006-3-3-633000000000000000000000000000000000000000000000000
χ8224-24-12120000000000000000000000000-36-33-63000000000000000000000000000000000000000000000000
χ8324-24-12120000000000000000000000000-3-3633-6000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.