Finite Group Databasebeta

← Group #13178297

Character table — Group #13178297

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244441212121224444444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ511111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-11111-1-11111-1-1
χ811111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-111111111-1-1-1-111
χ91111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-11-1-11-11111-1-111-1-111-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-11-11-1-1111111-1-1-1-111-11-11
χ111111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-11-11-111-1-111-1-111-1-1-1-1-111-1
χ121111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-11-1-1-1-1-1-1-1-11111111-1-11
χ131111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-11-11-11-1-111111-1-1-1-11111-1-1-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-11-1-1111-1-1-11111-1-111-1-1111-11-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-11-11-1-1-1111-1-11111-1-1-1-1-1-11-1-11
χ161111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-11-111-111-1-1-1-1-1-1-111-1-11111-111-1
χ17222222-122-12-122222-12-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000002000000222-1-10000000000-1-100-1-1
χ18222222-122-12-122222-12-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2000000-2-2-2110000000000110011
χ19222222-122-12-122222-12-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-2-2-222-1-111-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000000020000002-2-2-1-10000000000-1-10011
χ20222222-122-12-122222-12-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-2-2-222-1-111-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100000000-2000000-2221100000000001100-1-1
χ21222222-1-2-2-12-122222-12-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222-2-2-2-211-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111000000002000000-22-2-1-100000000001100-11
χ22222222-1-2-2-12-122222-12-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222-2-2-2-211-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100000000-20000002-22110000000000-1-1001-1
χ23222222-1-2-2-12-122222-12-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-222-2-2111-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1000000002000000-2-22-1-1000000000011001-1
χ24222222-1-2-2-12-122222-12-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-222-2-2111-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-100000000-200000022-2110000000000-1-100-11
χ2522222-1222222-12-1-122-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1000002200000-1-100-1-1-1-100000000
χ2622222-1222222-12-1-122-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111100000-2-2000001100111100000000
χ2722222-1222222-12-1-122-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1221111-1-122-2-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-21111112222-1-1-1-100000-2-200000-1-100111100000000
χ2822222-1222222-12-1-122-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1221111-1-122-2-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111-2-2-2-211110000022000001100-1-1-1-100000000
χ2922222-12-2-2222-12-1-122-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-11111-2-22-22-211-2-2111111-1-122-1-1-1-1-1-111-2-211111122-2-21111000002-200000-1-100-1-11100000000
χ3022222-12-2-2222-12-1-122-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-11111-2-22-22-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111-2-222-1-1-1-100000-2200000110011-1-100000000
χ3122222-12-2-2222-12-1-122-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-1-111-2-2-22-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-122-2-2111100000-2200000-1-10011-1-100000000
χ3222222-12-2-2222-12-1-122-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-1-111-2-2-22-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-1-2-222-1-1-1-1000002-2000001100-1-11100000000
χ332222-122222-122-122-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000002222000000000-1-10000-1-100-1-100
χ342222-122222-122-122-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000000-2-2-2-200000000011000011001100
χ352222-122222-122-122-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22222-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-2111100000000022-2-2000000000-1-10000-1-1001100
χ362222-122222-122-122-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22222-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-21111000000000-2-2220000000001100001100-1-100
χ372222-122-2-22-122-122-12-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-211110000000002-2-22000000000-1-1000011001-100
χ382222-122-2-22-122-122-12-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-21111000000000-222-2000000000110000-1-100-1100
χ392222-122-2-22-122-122-12-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-2-2-2-2-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-10000000002-22-2000000000-1-100001100-1100
χ402222-122-2-22-122-122-12-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-2-2-2-2-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-1000000000-22-22000000000110000-1-1001-100
χ412-2-222222-2-22-2-2-2-22-222222200-2-2-2-2-222222-2-2-2-2-22-200002-22-200002-22-22-222-2-2000000000000000000002i−2i2i−2i2i2i−2i−2i0000000000002i−2i00000000000000
χ422-2-222222-2-22-2-2-2-22-222222200-2-2-2-2-222222-2-2-2-2-22-200002-22-200002-22-22-222-2-200000000000000000000−2i2i−2i2i−2i−2i2i2i000000000000−2i2i00000000000000
χ432-2-22222-22-22-2-2-2-22-222222200-2-2-2-2-222222-2-2-2-2-2-220000-22-220000-22-22-22-2-222000000000000000000002i−2i−2i2i−2i−2i2i2i0000000000002i−2i00000000000000
χ442-2-22222-22-22-2-2-2-22-222222200-2-2-2-2-222222-2-2-2-2-2-220000-22-220000-22-22-22-2-22200000000000000000000−2i2i2i−2i2i2i−2i−2i000000000000−2i2i00000000000000
χ452-2-222-122-2-22-21-21-1-22-12-1-1-1001-2111-12-1-1-11-21112-23−33−3-112-20000-112-2-11-1-1113−3003−333−3−33−3003−333−3−32i−2i2i−2i−i−iii000000000000−ii00−i3i3−i3i300000000
χ462-2-222-122-2-22-21-21-1-22-12-1-1-1001-2111-12-1-1-11-21112-23−33−3-112-20000-112-2-11-1-1113−3003−333−3−33−3003−333−3−3−2i2i−2i2iii−i−i000000000000i−i00i3−i3i3−i300000000
χ472-2-222-122-2-22-21-21-1-22-12-1-1-1001-2111-12-1-1-11-21112-2−33−33-112-20000-112-2-11-1-111−3300−33−3−333−3300−33−3−3332i−2i2i−2i−i−iii000000000000−ii00i3−i3i3−i300000000
χ482-2-222-122-2-22-21-21-1-22-12-1-1-1001-2111-12-1-1-11-21112-2−33−33-112-20000-112-2-11-1-111−3300−33−3−333−3300−33−3−333−2i2i−2i2iii−i−i000000000000i−i00−i3i3−i3i300000000
χ492-2-222-12-22-22-21-21-1-22-12-1-1-1001-2111-12-1-1-11-2111-223−3−331-1-2200001-1-221-111-1-13−3003−333−3−3−3300−33−3−3332i−2i−2i2iii−i−i000000000000−ii00−i3i3i3−i300000000
χ502-2-222-12-22-22-21-21-1-22-12-1-1-1001-2111-12-1-1-11-2111-223−3−331-1-2200001-1-221-111-1-13−3003−333−3−3−3300−33−3−333−2i2i2i−2i−i−iii000000000000i−i00i3−i3−i3i300000000
χ512-2-222-12-22-22-21-21-1-22-12-1-1-1001-2111-12-1-1-11-2111-22−333−31-1-2200001-1-221-111-1-1−3300−33−3−3333−3003−333−3−32i−2i−2i2iii−i−i000000000000−ii00i3−i3−i3i300000000
χ522-2-222-12-22-22-21-21-1-22-12-1-1-1001-2111-12-1-1-11-2111-22−333−31-1-2200001-1-221-111-1-1−3300−33−3−3333−3003−333−3−3−2i2i2i−2i−i−iii000000000000i−i00−i3i3i3−i300000000
χ5344444-2-244-24-2-24-2-24-2-2-211144-2-2111-2-2111-2-211144-2-2-2-2-2-2-2-2-2-244-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ5444444-2-244-24-2-24-2-24-2-2-2111-4-4-2-2111-2-2111-2-2111442222-2-2-2-222-4-4-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000
χ5544444-2-2-4-4-24-2-24-2-24-2-2-21114-4-2-2111-2-2111-2-2111-4-4-2-2222222-224-42222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000
χ5644444-2-2-4-4-24-2-24-2-24-2-2-2111-44-2-2111-2-2111-2-2111-4-422-2-222222-2-442222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ574444-24-244-2-2-24-244-2-2-21-21144-21-211-21-211-21-211-2-2444444-2-2-2-2-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000
χ584444-24-244-2-2-24-244-2-2-21-211-4-4-21-211-21-211-21-211-2-2-4-4-4-444-2-22222-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000
χ594444-24-2-4-4-2-2-24-244-2-2-21-2114-4-21-211-21-211-21-2112244-4-4-4-422-22-2222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000
χ604444-24-2-4-4-2-2-24-244-2-2-21-211-44-21-211-21-211-21-21122-4-444-4-4222-22-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000
χ614444-2-24444-24-2-2-2-2-241-2-211441-2-2111-2-2111-2-211-2-2-2-2-2-2-2-24444-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000
χ624444-2-24444-24-2-2-2-2-241-2-211-4-41-2-2111-2-2111-2-211-2-22222-2-244-4-42211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ634444-2-24-4-44-24-2-2-2-2-241-2-2114-41-2-2111-2-2111-2-21122-2-22222-4-44-4-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000
χ644444-2-24-4-44-24-2-2-2-2-241-2-211-441-2-2111-2-2111-2-2112222-2-222-4-4-442-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000
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+3i32-2-22222-2-2-2-22222111111−1−3i32−1+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
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
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χ1034-4-44-2-2-24-42-22222-22-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-2223−2323−23-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000
χ1044-4-44-2-2-24-42-22222-22-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-22−2323−2323-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i323−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000
χ1054-4-44-2-2-24-42-22222-22-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-2223−2323−23-22-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000
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χ1094-4-44-2-2-2-442-22222-22-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-223−23−23232-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i32−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000
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χ1208-88-8-4-4-400-444-4444-44222−1+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.