Finite Group Databasebeta

← Group #13178324

Character table — Group #13178324

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444412121212244444444412121212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-1-11-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-111-1-111-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-11-11
χ511111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ611111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11-111111-1-11111-1-111-1-1-1-1
χ711111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1111-1-111-1-1-1-111111-11-1
χ811111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1111111-1-111-1-1-11-11
χ91111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111-11-1-1111-1-11111-1-1-1-1-1-111-1-111-1-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-111-11-111-1-1-1-1-1-111-1-11111-1-111
χ111111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1111-1-11111-1-111-1-1111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-111111-1-1-1-111-1-1111111-1-1-1-1-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1
χ141111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-11-11-111-1111111-1-1-1-1-1-1-1-1-1-111
χ151111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1111-11-111-1-1-1-1111111-1-11-1-11
χ161111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-11-1-111-1-1-1-1111111-111-1
χ17222222-122-122-122-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000200220020000-1-100-1-1000000-10-10
χ18222222-122-122-122-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-200-2-200-200001100110000001010
χ19222222-122-122-122-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-1-1-12222-2-2-2-211-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111000000002002-200-20000110011000000-10-10
χ20222222-122-122-122-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-1-1-12222-2-2-2-211-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100000000-200-220020000-1-100-1-10000001010
χ21222222-1-2-2-122-122-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-111-2-2-2-222-2-2-112-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-100000000200-2-20020000-1-10011000000-1010
χ22222222-1-2-2-122-122-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-111-2-2-2-222-2-2-112-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-100000000-2002200-200001100-1-100000010-10
χ23222222-1-2-2-122-122-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-111-2-2-2-2-2-2221-1-2222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100000000200-2200-200001100-1-1000000-1010
χ24222222-1-2-2-122-122-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-111-2-2-2-2-2-2221-1-2222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100000000-2002-20020000-1-1001100000010-10
χ2522222-122222-122-122-1-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-12222-1-1222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000020020022-1-10000000000-1-10-10-1
χ2622222-122222-122-122-1-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-12222-1-1222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000-200-200-2-2110000000000110101
χ2722222-122222-122-122-1-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-12222-1-1-2-2-2-2-2-21111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000000000200-2002-2110000000000110-10-1
χ2822222-122222-122-122-1-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-12222-1-1-2-2-2-2-2-21111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000000000-200200-22-1-10000000000-1-10101
χ2922222-12-2-222-122-122-1-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-21122-2-22-2-1111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000000000200200-2-2-1-10000000000110-101
χ3022222-12-2-222-122-122-1-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-21122-2-22-2-1111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000000000-200-20022110000000000-1-1010-1
χ3122222-12-2-222-122-122-1-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-211-2-222-221-1-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000000200-200-22110000000000-1-10-101
χ3222222-12-2-222-122-122-1-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-211-2-222-221-1-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000000-2002002-2-1-1000000000011010-1
χ332222-122222-122-122-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-102000020000000-1-100-1-1-1-1000000
χ342222-122222-122-122-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211110-20000-2000000011001111000000
χ352222-122222-122-122-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-122-1-1221111-2-2-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-211112222-1-1-1-10-20000-200000001100-1-111000000
χ362222-122222-122-122-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-122-1-1221111-2-2-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-2-2-2111102000020000000-1-10011-1-1000000
χ372222-122-2-22-122-122-12-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-1-2-211-2-2-1-1112-22-21111-2-211111111-2-21111-1-1-1-122-1-1-1-122-2-2-1-1-1-10-2000020000000110011-1-1000000
χ382222-122-2-22-122-122-12-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-1-2-211-2-2-1-1112-22-21111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-2221111020000-20000000-1-100-1-111000000
χ392222-122-2-22-122-122-12-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-1-2-211-2-211-1-1-22-22-1-1-1-122-1-1-1-11111-2-211111111-2-2111122-2-2-1-1-1-1020000-20000000-1-1001111000000
χ402222-122-2-22-122-122-12-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-1-2-211-2-211-1-1-22-22-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-22211110-20000200000001100-1-1-1-1000000
χ412-2-222222i−2i-2-2-22-2-2-2222222200-2-2-2-2-222222-2-2-2-2-22i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i2i−2i2i2i−2i−2i00000000002i−2i2-22i2i−2i−2i0000000000000000002-200000000
χ422-2-222222i−2i-2-2-22-2-2-2222222200-2-2-2-2-222222-2-2-2-2-22i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000−2i2i-22−2i−2i2i2i000000000000000000-2200000000
χ432-2-22222−2i2i-2-2-22-2-2-2222222200-2-2-2-2-222222-2-2-2-2-2−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000002i−2i-222i2i−2i−2i000000000000000000-2200000000
χ442-2-22222−2i2i-2-2-22-2-2-2222222200-2-2-2-2-222222-2-2-2-2-2−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000−2i2i2-2−2i−2i2i2i0000000000000000002-200000000
χ452-2-22-1222i−2i-21-221-2-2-12-1-12-1-10011-211-1-12-1-111-2112i−2i−ii2i−2i3−3−i3i30000−i3i3−i3i300−i3−i3i3i3−ii−ii2i−2i−i−iii3−33−30033−3−32i−2i2-2−i−iii000000000000003−300-11−i3i3000000
χ462-2-22-1222i−2i-21-221-2-2-12-1-12-1-10011-211-1-12-1-111-2112i−2i−ii2i−2i3−3−i3i30000−i3i3−i3i300−i3−i3i3i3−ii−ii2i−2i−i−iii3−33−30033−3−3−2i2i-22ii−i−i00000000000000−33001-1i3−i3000000
χ472-2-22-1222i−2i-21-221-2-2-12-1-12-1-10011-211-1-12-1-111-2112i−2i−ii2i−2i−33i3−i30000i3−i3i3−i300i3i3−i3−i3−ii−ii2i−2i−i−iii−33−3300−3−3332i−2i2-2−i−iii00000000000000−3300-11i3−i3000000
χ482-2-22-1222i−2i-21-221-2-2-12-1-12-1-10011-211-1-12-1-111-2112i−2i−ii2i−2i−33i3−i30000i3−i3i3−i300i3i3−i3−i3−ii−ii2i−2i−i−iii−33−3300−3−333−2i2i-22ii−i−i000000000000003−3001-1−i3i3000000
χ492-2-22-122−2i2i-21-221-2-2-12-1-12-1-10011-211-1-12-1-111-211−2i2ii−i−2i2i3−3i3−i30000i3−i3i3−i300i3i3−i3−i3i−ii−i−2i2iii−i−i3−33−30033−3−32i−2i-22−i−iii00000000000000−33001-1−i3i3000000
χ502-2-22-122−2i2i-21-221-2-2-12-1-12-1-10011-211-1-12-1-111-211−2i2ii−i−2i2i3−3i3−i30000i3−i3i3−i300i3i3−i3−i3i−ii−i−2i2iii−i−i3−33−30033−3−3−2i2i2-2ii−i−i000000000000003−300-11i3−i3000000
χ512-2-22-122−2i2i-21-221-2-2-12-1-12-1-10011-211-1-12-1-111-211−2i2ii−i−2i2i−33−i3i30000−i3i3−i3i300−i3−i3i3i3i−ii−i−2i2iii−i−i−33−3300−3−3332i−2i-22−i−iii000000000000003−3001-1i3−i3000000
χ522-2-22-122−2i2i-21-221-2-2-12-1-12-1-10011-211-1-12-1-111-211−2i2ii−i−2i2i−33−i3i30000−i3i3−i3i300−i3−i3i3i3i−ii−i−2i2iii−i−i−33−3300−3−333−2i2i2-2ii−i−i00000000000000−3300-11−i3i3000000
χ5344444-2-244-24-2-24-2-24-2-2-211144-2-2111-2-2111-2-2111-2-244-2-24444-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ5444444-2-244-24-2-24-2-24-2-2-2111-4-4-2-2111-2-2111-2-2111-2-244-2-2-4-4-4-422222222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000
χ5544444-2-2-4-4-24-2-24-2-24-2-2-21114-4-2-2111-2-2111-2-211122-4-42244-4-4-22-222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ5644444-2-2-4-4-24-2-24-2-24-2-2-2111-44-2-2111-2-2111-2-211122-4-422-4-4442-22-2-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000
χ574444-24-244-2-24-2-24-2-24-21-21144-21-211-21-211-21-211-2-2-2-244-2-2-2-2-2-244-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000
χ584444-24-244-2-24-2-24-2-24-21-211-4-4-21-211-21-211-21-211-2-2-2-244222222-4-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000
χ594444-24-2-4-4-2-24-2-24-2-24-21-2114-4-21-211-21-211-21-2112222-4-4-2-222-224-422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000
χ604444-24-2-4-4-2-24-2-24-2-24-21-211-44-21-211-21-211-21-2112222-4-422-2-22-2-44-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000
χ614444-2-24444-2-24-2-24-2-21-2-211441-2-2111-2-2111-2-21144-2-2-2-2-2-2-2-244-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000
χ624444-2-24444-2-24-2-24-2-21-2-211-4-41-2-2111-2-2111-2-21144-2-2-2-22222-4-422-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000
χ634444-2-24-4-44-2-24-2-24-2-21-2-2114-41-2-2111-2-2111-2-211-4-42222-2-2224-4-22-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000
χ644444-2-24-4-44-2-24-2-24-2-21-2-211-441-2-2111-2-2111-2-211-4-4222222-2-2-442-211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-222222222-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-222222222-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000
χ694444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32222222-2-222-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ704444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i3222222222-2-22-22-2111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
χ714444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32222222-2-222-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ724444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3222222222-2-22-22-2111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000
χ7344-4-4444004-4-4-444-4-4-44444400-4-4-4-4-4-4-4-4-4-44444400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7444-4-444-200-2-4-42442-4-44-2-2-2-200-42222-422224-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000023−230000000000
χ7544-4-444-200-2-4-42442-4-44-2-2-2-200-42222-422224-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−23230000000000
χ7644-4-44-24004-42-44-2-4-42-24-2-2-2002-42222-4222-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000023−230000
χ7744-4-44-24004-42-44-2-4-42-24-2-2-2002-42222-4222-24-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000−23230000
χ7844-4-4-2440042-4-4-24-42-4-2-24-2-20022-42222-422-2-24-2-200000000000000000000000000000000000000000000000023−2323−230000000000000000000000000000
χ7944-4-4-2440042-4-4-24-42-4-2-24-2-20022-42222-422-2-24-2-2000000000000000000000000000000000000000000000000−2323−23230000000000000000000000000000
χ804-44-444400-444-4-4-44-4-4444440044444-4-4-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ814-44-444-2002442-4-4-2-4-44-2-2-2-2004-2-2-2-2-42222-42222000000000000000000000000000000000000000000000000000000000000000023−2300000000000000
χ824-44-444-2002442-4-4-2-4-44-2-2-2-2004-2-2-2-2-42222-422220000000000000000000000000000000000000000000000000000000000000000−232300000000000000
χ834-44-44-2400-44-2-4-424-42-24-2-2-200-24-2-2-22-42222-422200000000000000000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ844-44-44-2400-44-2-4-424-42-24-2-2-200-24-2-2-22-42222-4222000000000000000000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ854-44-4-24400-4-24-42-442-4-2-24-2-200-2-24-2-222-42222-422000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ864-44-4-24400-4-24-42-442-4-2-24-2-200-2-24-2-222-42222-4220000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ874-4-4444-24i−4i2-4-4-2-4-42444-2-2-2-200-422224-2-2-2-2-42222−2i2i4i−4i4i−4i0000000000000000004i−4i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ884-4-4444-2−4i4i2-4-4-2-4-42444-2-2-2-200-422224-2-2-2-2-422222i−2i−4i4i−4i4i000000000000000000−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ894-4-444-244i−4i-4-424-42-44-2-24-2-2-2002-4222-24-2-2-22-42224i−4i4i−4i−2i2i000000000000000000−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ904-4-444-24−4i4i-4-424-42-44-2-24-2-2-2002-4222-24-2-2-22-4222−4i4i−4i4i2i−2i0000000000000000002i−2i−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ914-4-444-2-24i−4i2-42-2-4224-2-2-21110022-1-1-1-2-211122-1-1-1−2i2i4i−4i−2i2i0000000000003-33-3-33−2i2i−2i2ii−iii−i−i00003i−3i3i−3i−3i3i000000000000000000000000000000000000
χ924-4-444-2-24i−4i2-42-2-4224-2-2-21110022-1-1-1-2-211122-1-1-1−2i2i4i−4i−2i2i000000000000-33-333-3−2i2i−2i2ii−iii−i−i0000−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ934-4-444-2-2−4i4i2-42-2-4224-2-2-21110022-1-1-1-2-211122-1-1-12i−2i−4i4i2i−2i0000000000003-33-3-332i−2i2i−2i−ii−i−iii0000−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ944-4-444-2-2−4i4i2-42-2-4224-2-2-21110022-1-1-1-2-211122-1-1-12i−2i−4i4i2i−2i000000000000-33-333-32i−2i2i−2i−ii−i−iii00003i−3i3i−3i−3i3i000000000000000000000000000000000000
χ954-4-44-24-24i−4i22-4-22-42-24-21-211002-12-1-1-21-2112-12-1-1−2i2i−2i2i4i−4i23−23−2i32i30000−2i32i3i3−i300i3i3−i3−i3−2i2ii−i−2i2iii−i−i23−23−3300−3−333000000000000000000000000000000000000
χ964-4-44-24-24i−4i22-4-22-42-24-21-211002-12-1-1-21-2112-12-1-1−2i2i−2i2i4i−4i−23232i3−2i300002i3−2i3−i3i300−i3−i3i3i3−2i2ii−i−2i2iii−i−i−23233−30033−3−3000000000000000000000000000000000000
χ974-4-44-24-2−4i4i22-4-22-42-24-21-211002-12-1-1-21-2112-12-1-12i−2i2i−2i−4i4i23−232i3−2i300002i3−2i3−i3i300−i3−i3i3i32i−2i−ii2i−2i−i−iii23−23−3300−3−333000000000000000000000000000000000000
χ984-4-44-24-2−4i4i22-4-22-42-24-21-211002-12-1-1-21-2112-12-1-12i−2i2i−2i−4i4i−2323−2i32i30000−2i32i3i3−i300i3i3−i3−i32i−2i−ii2i−2i−i−iii−23233−30033−3−3000000000000000000000000000000000000
χ994-4-44-2-244i−4i-422422-4-2-21-2-21100-122-1-11-2-211-122-1-14i−4i−2i2i−2i2i23−23−2i32i30000i3−i3−2i32i300i3i3−i3−i3i−i−2i2i−2i2iii−i−i−3323−2300−3−333000000000000000000000000000000000000
χ1004-4-44-2-244i−4i-422422-4-2-21-2-21100-122-1-11-2-211-122-1-14i−4i−2i2i−2i2i−23232i3−2i30000−i3i32i3−2i300−i3−i3i3i3i−i−2i2i−2i2iii−i−i3−3−23230033−3−3000000000000000000000000000000000000
χ1014-4-44-2-24−4i4i-422422-4-2-21-2-21100-122-1-11-2-211-122-1-1−4i4i2i−2i2i−2i23−232i3−2i30000−i3i32i3−2i300−i3−i3i3i3−ii2i−2i2i−2i−i−iii−3323−2300−3−333000000000000000000000000000000000000
χ1024-4-44-2-24−4i4i-422422-4-2-21-2-21100-122-1-11-2-211-122-1-1−4i4i2i−2i2i−2i−2323−2i32i30000i3−i3−2i32i300i3i3−i3−i3−ii2i−2i2i−2i−i−iii3−3−23230033−3−3000000000000000000000000000000000000
χ1034-4-44-2-2-24i−4i222-2222-2-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i2i−2i2i−2i2i23−23−2i32i30000i3−i3i3−i33-3−3−i323−i323+i32−3+i32i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000
χ1044-4-44-2-2-24i−4i222-2222-2-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i2i−2i2i−2i2i−23232i3−2i30000−i3i3−i3i3-333+i32−3+i32−3−i323−i32i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000
χ1054-4-44-2-2-24i−4i222-2222-2-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i2i−2i2i−2i2i23−23−2i32i30000i3−i3i3−i3-333−i32−3−i32−3+i323+i32i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000
χ1064-4-44-2-2-24i−4i222-2222-2-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i2i−2i2i−2i2i−23232i3−2i30000−i3i3−i3i33-3−3+i323+i323−i32−3−i32i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000
χ1074-4-44-2-2-2−4i4i222-2222-2-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i−2i2i−2i2i−2i23−232i3−2i30000−i3i3−i3i3-333+i32−3+i32−3−i323−i32−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000
χ1084-4-44-2-2-2−4i4i222-2222-2-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i−2i2i−2i2i−2i−2323−2i32i30000i3−i3i3−i33-3−3−i323−i323+i32−3+i32−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000
χ1094-4-44-2-2-2−4i4i222-2222-2-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i−2i2i−2i2i−2i23−232i3−2i30000−i3i3−i3i33-3−3+i323+i323−i32−3−i32−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000
χ1104-4-44-2-2-2−4i4i222-2222-2-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i−2i2i−2i2i−2i−2323−2i32i30000i3−i3i3−i3-333−i32−3−i32−3+i323+i32−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000
χ11188-8-88-4-400-4-8448-44-84-4-42220044-2-2-244-2-2-2-4-422200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-48-400-44-84-4844-8-42-422004-24-2-24-24-2-2-42-42200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4800844-8-4-4-8442-4-42200-244-2-2-244-2-22-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-400-4444-4-4444222−1−3i3−1+3i300-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-400-4444-4-4444222−1+3i3−1−3i300-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-88-4-40048-44-84-4-84-4-422200-4-422244-2-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-48-4004-4844-8-44-8-42-42200-42-4224-24-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4800-8-4-4-8448442-4-422002-4-422-244-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4004-4-4444-444222−1−3i3−1+3i300222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4004-4-4444-444222−1+3i3−1−3i300222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000

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