Finite Group Databasebeta

← Group #11787218

Character table — Group #11787218

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order12224444223344666666121212121212121236666666888812121212121212122424242424242424224466661212121266121224242424242424242424242424444466888812121212121212121212242424242424242424661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1-1-111ii−i−iiiii−i−i−i−i-11ii−i−i-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−i1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1-1-111ii−i−iiiii−i−i−i−i-11−i−iii-1-1ii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-11-1-111−i−iii-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-11111-1-111ii−i−iiiii−i−i−i−i1-1ii−i−i11−i−iii-1-1iiii−i−i−i−i−i−i−i−iiiii1-111-1-1−i−iii-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-11111-1-111ii−i−iiiii−i−i−i−i1-1−i−iii11−i−iii-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−i1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1-1-111−i−iii−i−i−i−iiiii-11ii−i−i-1-1−i−iii11iiii−i−i−i−i−i−i−i−iiiii-11-1-111ii−i−i-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1-1-111−i−iii−i−i−i−iiiii-11−i−iii-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-11111-1-111−i−iii−i−i−i−iiiii1-1ii−i−i11ii−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-11111-1-111−i−iii−i−i−i−iiiii1-1−i−iii11ii−i−i-1-1−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1ii−i−i-11
χ1722222222222-12222-1-12-122-1-122-1-1-12-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-12222-1-100000000-1-1-1-1-1-1-1-1000000000000
χ1822222222222-12222-1-12-122-1-122-1-1-12-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2000011-2-2-2-2110000000011111111000000000000
χ1922222222222-12222-1-12-122-1-122-1-1-12-1-1-1-1-12-2-2-2-222-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111220000-1-1-2-2-2-2-1-10000000011111111000000000000
χ2022222222222-12222-1-12-122-1-122-1-1-12-1-1-1-1-12-2-2-2-222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-2-2-2-211111111-2-200001122221100000000-1-1-1-1-1-1-1-1000000000000
χ212222222222-1222-1-122-12-1-122-1-122-1-122-1-1-1-12222-1-122-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222200000000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000
χ222222222222-1222-1-122-12-1-122-1-122-1-122-1-1-1-12222-1-122-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000001111111100000000-2-21111000000
χ232222222222-1222-1-122-12-1-122-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111111100222200000000-1-1-1-1-1-1-1-100000000-2-21111000000
χ242222222222-1222-1-122-12-1-122-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111111100-2-2-2-200000000111111110000000022-1-1-1-1000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-2-2222200000000222222222222-2-2-2-2000000000000-2-20000-2-20000-2-20000000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-2-2222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000220000220000220000000000000000000000000000
χ2722222222-2-22-1-2-222-1-12-122-1-122-1-1-1-211-1-1-1-20000-2-211-1-1-1-1−i3−i3i3i3−i3−i3i3i32222-1-1-1-1-1-1-1-111110000−i3−i3i3i3−i3−i3i3i3-2-200001100001100000000−i3−i3i3i3−i3−i3i3i3000000000000
χ2822222222-2-22-1-2-222-1-12-122-1-122-1-1-1-211-1-1-1-20000-2-211-1-1-1-1−i3−i3i3i3−i3−i3i3i3-2-2-2-21111111111110000−i3−i3i3i3−i3−i3i3i3220000-1-10000-1-100000000i3i3−i3−i3i3i3−i3−i3000000000000
χ2922222222-2-22-1-2-222-1-12-122-1-122-1-1-1-211-1-1-1-20000-2-211-1-1-1-1i3i3−i3−i3i3i3−i3−i32222-1-1-1-1-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3-2-200001100001100000000i3i3−i3−i3i3i3−i3−i3000000000000
χ3022222222-2-22-1-2-222-1-12-122-1-122-1-1-1-211-1-1-1-20000-2-211-1-1-1-1i3i3−i3−i3i3i3−i3−i3-2-2-2-21111111111110000i3i3−i3−i3i3i3−i3−i3220000-1-10000-1-100000000−i3−i3i3i3−i3−i3i3i3000000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-20000000022-2-22222-2-2-2-222-2-20000000000002-20000220000-2-20000000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-200000000-2-222-2-2-2-2222222-2-2000000000000-220000-2-20000220000000000000000000000000000
χ332222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-12-1-1-1-1-120000-2-211111133−3−3−3−33322-2-2-1-1-1-11111-1-111000033−3−3−3−3332-20000-1-10000110000000033−3−3−3−333000000000000
χ342222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-12-1-1-1-1-120000-2-211111133−3−3−3−333-2-2221111-1-1-1-1-1-111000033−3−3−3−333-220000110000-1-100000000−3−33333−3−3000000000000
χ352222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-12-1-1-1-1-120000-2-2111111−3−33333−3−322-2-2-1-1-1-11111-1-1110000−3−33333−3−32-20000-1-100001100000000−3−33333−3−3000000000000
χ362222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-12-1-1-1-1-120000-2-2111111−3−33333−3−3-2-2221111-1-1-1-1-1-1110000−3−33333−3−3-220000110000-1-10000000033−3−3−3−333000000000000
χ372222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-211-1-1-1-22i2i−2i−2i22-1-11111−i−i−i−iiiii22-2-2-1-1-1-1111111-1-12i2i−2i−2i−i−i−i−iiiii-220000112i2i−2i−2i-1-100000000−i−i−i−iiiii000000000000
χ382222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-211-1-1-1-22i2i−2i−2i22-1-11111−i−i−i−iiiii-2-2221111-1-1-1-111-1-12i2i−2i−2i−i−i−i−iiiii2-20000-1-1−2i−2i2i2i1100000000iiii−i−i−i−i000000000000
χ392222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-211-1-1-1-2−2i−2i2i2i22-1-11111iiii−i−i−i−i22-2-2-1-1-1-1111111-1-1−2i−2i2i2iiiii−i−i−i−i-22000011−2i−2i2i2i-1-100000000iiii−i−i−i−i000000000000
χ402222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-211-1-1-1-2−2i−2i2i2i22-1-11111iiii−i−i−i−i-2-2221111-1-1-1-111-1-1−2i−2i2i2iiiii−i−i−i−i2-20000-1-12i2i−2i−2i1100000000−i−i−i−iiiii000000000000
χ412222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-2-1-1-112i2i−2i−2i-1-12211112i2i2i2i−2i−2i−2i−2i00000000000011-1-1−i−iii−i−i−i−iiiii002i2i−2i−2i00000000−i−i−i−iiiii000000002-2-1-111000000
χ422222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-2-1-1-112i2i−2i−2i-1-12211112i2i2i2i−2i−2i−2i−2i00000000000011-1-1−i−iii−i−i−i−iiiii00−2i−2i2i2i00000000iiii−i−i−i−i00000000-2211-1-1000000
χ432222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-2-1-1-11−2i−2i2i2i-1-1221111−2i−2i−2i−2i2i2i2i2i00000000000011-1-1ii−i−iiiii−i−i−i−i002i2i−2i−2i00000000−i−i−i−iiiii00000000-2211-1-1000000
χ442222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-2-1-1-11−2i−2i2i2i-1-1221111−2i−2i−2i−2i2i2i2i2i00000000000011-1-1ii−i−iiiii−i−i−i−i00−2i−2i2i2i00000000iiii−i−i−i−i000000002-2-1-111000000
χ4522-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-22-22-2-2-22200002-22-222-2-2000000000000000000002-22-2000000000000000000002i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i000000000000
χ4622-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-22-22-2-2-22200002-22-222-2-2000000000000000000002-22-200000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ4722-2-222-2-22-22-12-2-2-2112-122-1-1-2-211-1-2-1111-1200002-2-11-1-1113−33−33−33−30000−i3−i3i3i3−i3−i3i3i3-11-1100003−33−33−33−3000000−i3i32i−2i2i−2i−i3i300000000−ii−ii−ii−ii000000000000
χ4822-2-222-2-22-22-12-2-2-2112-122-1-1-2-211-1-2-1111-1200002-2-11-1-1113−33−33−33−30000i3i3−i3−i3i3i3−i3−i3-11-1100003−33−33−33−3000000i3−i3−2i2i−2i2ii3−i300000000i−ii−ii−ii−i000000000000
χ4922-2-222-2-22-22-12-2-2-2112-122-1-1-2-211-1-2-1111-1200002-2-11-1-111−33−33−33−330000−i3−i3i3i3−i3−i3i3i3-11-110000−33−33−33−33000000−i3i3−2i2i−2i2i−i3i300000000i−ii−ii−ii−i000000000000
χ5022-2-222-2-22-22-12-2-2-2112-122-1-1-2-211-1-2-1111-1200002-2-11-1-111−33−33−33−330000i3i3−i3−i3i3i3−i3−i3-11-110000−33−33−33−33000000i3−i32i−2i2i−2ii3−i300000000−ii−ii−ii−ii000000000000
χ5122-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-222-22-2-22-22i−2i2i−2i-22-2222-2-22i−2i−2i2i2i−2i−2i2i000000000000-22-222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ5222-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-222-22-2-22-2−2i2i−2i2i-22-2222-2-2−2i2i2i−2i−2i2i2i−2i000000000000-22-22−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ5322-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-121-111-1-22i−2i2i−2i-221-1-1-111−iii−i−iii−i0000−i3−i3i3i3−i3−i3i3i31-11-12i−2i2i−2i−iii−i−iii−i000000i3−i30000i3−i3000000003−3−333−3−33000000000000
χ5422-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-121-111-1-22i−2i2i−2i-221-1-1-111−iii−i−iii−i0000i3i3−i3−i3i3i3−i3−i31-11-12i−2i2i−2i−iii−i−iii−i000000−i3i30000−i3i300000000−333−3−333−3000000000000
χ5522-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-121-111-1-2−2i2i−2i2i-221-1-1-111i−i−iii−i−ii0000−i3−i3i3i3−i3−i3i3i31-11-1−2i2i−2i2ii−i−iii−i−ii000000i3−i30000i3−i300000000−333−3−333−3000000000000
χ5622-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-121-111-1-2−2i2i−2i2i-221-1-1-111i−i−iii−i−ii0000i3i3−i3−i3i3i3−i3−i31-11-1−2i2i−2i2ii−i−iii−i−ii000000−i3i30000−i3i3000000003−3−333−3−33000000000000
χ5722-2-222-2-2-22-12-2211-2-2-12-1-12211-2-2-1-1-2211-112i−2i2i−2i1-1-22-1-1112i−2i−2i2i2i−2i−2i2i0000000000001-11-1−ii−ii−iii−i−iii−i0000000000000033−3−333−3−30000000000−i3i3−i3i3000000
χ5822-2-222-2-2-22-12-2211-2-2-12-1-12211-2-2-1-1-2211-112i−2i2i−2i1-1-22-1-1112i−2i−2i2i2i−2i−2i2i0000000000001-11-1−ii−ii−iii−i−iii−i00000000000000−3−333−3−3330000000000i3−i3i3−i3000000
χ5922-2-222-2-2-22-12-2211-2-2-12-1-12211-2-2-1-1-2211-11−2i2i−2i2i1-1-22-1-111−2i2i2i−2i−2i2i2i−2i0000000000001-11-1i−ii−ii−i−iii−i−ii0000000000000033−3−333−3−30000000000i3−i3i3−i3000000
χ6022-2-222-2-2-22-12-2211-2-2-12-1-12211-2-2-1-1-2211-11−2i2i−2i2i1-1-22-1-111−2i2i2i−2i−2i2i2i−2i0000000000001-11-1i−ii−ii−i−iii−i−ii00000000000000−3−333−3−3330000000000−i3i3−i3i3000000
χ6122-2-2-2-2222-222-22-2-2-2-222-2-2-2-222222-22-2-2-2222-2-22-22-22-2-2222-2-22-222-20000000000002-2-222-2-222-2-22-222-2000000000000000000000000000000000000000000
χ6222-2-2-2-2222-222-22-2-2-2-222-2-2-2-222222-22-2-2-222-222-2-22-22-2-222-222-22-2-220000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000000000
χ6322-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-1-2-1111-122-2-22-221-111-1-1-111-11-1-110000−i3−i3i3i3i3i3−i3−i3-111-12-2-22-111-11-1-11000000−i3i30000i3−i300000000−i3i3i3−i3i3−i3−i3i3000000000000
χ6422-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-1-2-1111-122-2-22-221-111-1-1-111-11-1-110000i3i3−i3−i3−i3−i3i3i3-111-12-2-22-111-11-1-11000000i3−i30000−i3i300000000i3−i3−i3i3−i3i3i3−i3000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.