Finite Group Databasebeta

← Group #11868745

Character table — Group #11868745

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order122233444466666612121212344444666121212121212121212121212121212121212121222444466661212121212121212121212121212121212121212124444412121212121212121212121244882424242412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-11111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-11111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1111111-1-111-1-1
χ91111111-1-11111111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-1-1-11-11-111-1-11-1-111-1
χ101111111-1-11111111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-1-1-1-11-11-1-111-111-1-11
χ111111111-1-11111111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-1111-1-111-1-1-1-111111-11-111-1-11-11-1-11
χ121111111-1-11111111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-1111-1-111-1-1-1-11111-11-11-1-111-11-111-1
χ131111111-1-11111111-1-1-1-11-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-111111-1-11-1-1111-1-11-11
χ141111111-1-11111111-1-1-1-11-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-111-111-1-1-111-11-1
χ151111111-1-11111111-1-1-1-11-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-11-1-11-1-1111-11-11-1
χ161111111-1-11111111-1-1-1-11-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-111-111-1-1-11-11-11
χ17222222-222-22222222222200-200222-222-2-2-2-2000000002222-222-2-2222222222200-200-2-2-2-20000000000-200-2-2-2-20000000000000000000000
χ18222222-222-22222222222200-200222-222-2-2-2-2000000002222-2-2-222-2-2-2-2-2-2-2-2-2-200-200-2-2-2-2000000000020022220000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-2200200222-2-2-2-2-22200000000-2-2-2-2-222-2-2-2-22222-2-2-2-200200-2-2220000000000200-2-2220000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-2200200222-2-2-2-2-22200000000-2-2-2-2-2-2-22222-2-2-2-2222200200-2-2220000000000-20022-2-20000000000000000000000
χ2122222-122222-122-1-1-1-1-1-1-122222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-122222-122-1-1-1-1-1-1-122222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-21111111122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211111111111100000000000000
χ2322222-122222-122-1-1-1-1-1-1-1-2-22-2-2-1-1-1222-1-1-1-111111111-1-1-1-12222222-1-1-1-1-1-1-1-1-2-22-2-2-1-1-1-111111111-2-22-2-2-1-1-1-11111111100000000000000
χ2422222-122222-122-1-1-1-1-1-1-1-2-22-2-2-1-1-1222-1-1-1-111111111-1-1-1-12-2-2-2-2-2-211111111-2-22-2-2-1-1-1-11111111122-2221111-1-1-1-1-1-1-1-100000000000000
χ2522222-12-2-222-122-1-11111-122-2-2-2-1-1-12-2-2-1-111-1-1-1-11111111122222-2-2-1-1-1-1111122-2-2-2-1-111-1-1-1-1111122-2-2-2-1-111-1-1-1-1111100000000000000
χ2622222-12-2-222-122-1-11111-122-2-2-2-1-1-12-2-2-1-111-1-1-1-1111111112-2-2-2-2221111-1-1-1-122-2-2-2-1-111-1-1-1-11111-2-222211-1-11111-1-1-1-100000000000000
χ2722222-12-2-222-122-1-11111-1-2-2-222-1-1-12-2-2-1-1111111-1-1-1-1111122222-2-2-1-1-1-11111-2-2-222-1-1111111-1-1-1-1-2-2-222-1-1111111-1-1-1-100000000000000
χ2822222-12-2-222-122-1-11111-1-2-2-222-1-1-12-2-2-1-1111111-1-1-1-111112-2-2-2-2221111-1-1-1-1-2-2-222-1-1111111-1-1-1-1222-2-211-1-1-1-1-1-1111100000000000000
χ2922222-1-222-22-122-1-1-1-1-1-1-100-200-1-1-1-2221111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-222-2-222-1-1-1-1-1-1-1-100-2001111−i3−i3i3i3−i3−i3i3i300-2001111−i3−i3i3i3−i3−i3i3i300000000000000
χ3022222-1-222-22-122-1-1-1-1-1-1-100-200-1-1-1-2221111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-2-2-222-2-21111111100-2001111−i3−i3i3i3−i3−i3i3i300200-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ3122222-1-222-22-122-1-1-1-1-1-1-100-200-1-1-1-2221111i3i3−i3−i3i3i3−i3−i3-1-1-1-1-222-2-222-1-1-1-1-1-1-1-100-2001111i3i3−i3−i3i3i3−i3−i300-2001111i3i3−i3−i3i3i3−i3−i300000000000000
χ3222222-1-222-22-122-1-1-1-1-1-1-100-200-1-1-1-2221111i3i3−i3−i3i3i3−i3−i3-1-1-1-1-2-2-222-2-21111111100-2001111i3i3−i3−i3i3i3−i3−i300200-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ3322222-1-2-2-2-22-122-1-11111-100200-1-1-1-2-2-211-1-1−i3−i3i3i3i3i3−i3−i31111-222-2-2-2-2-1-1-1-111110020011-1-1−i3−i3i3i3i3i3−i3−i30020011-1-1−i3−i3i3i3i3i3−i3−i300000000000000
χ3422222-1-2-2-2-22-122-1-11111-100200-1-1-1-2-2-211-1-1−i3−i3i3i3i3i3−i3−i31111-2-2-222221111-1-1-1-10020011-1-1−i3−i3i3i3i3i3−i3−i300-200-1-111i3i3−i3−i3−i3−i3i3i300000000000000
χ3522222-1-2-2-2-22-122-1-11111-100200-1-1-1-2-2-211-1-1i3i3−i3−i3−i3−i3i3i31111-222-2-2-2-2-1-1-1-111110020011-1-1i3i3−i3−i3−i3−i3i3i30020011-1-1i3i3−i3−i3−i3−i3i3i300000000000000
χ3622222-1-2-2-2-22-122-1-11111-100200-1-1-1-2-2-211-1-1i3i3−i3−i3−i3−i3i3i31111-2-2-222221111-1-1-1-10020011-1-1i3i3−i3−i3−i3−i3i3i300-200-1-111−i3−i3i3i3i3i3−i3−i300000000000000
χ372222-122222-12-1-1222222-122222-1-1-1-1-1-1222222222222-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ382222-122222-12-1-1222222-122222-1-1-1-1-1-1222222222222-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ392222-122222-12-1-1222222-1-2-22-2-2-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-10000000000000011-111-1-1-1-1111111110000000000000000022-2-21111-1-10000
χ402222-122222-12-1-1222222-1-2-22-2-2-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-10000000000000011-111-1-1-1-11111111100000000000000000-2-222-1-1-1-1110000
χ412222-122-2-22-12-1-122-2-2-2-2-122-2-2-2-1-1-1-11122-2-22222-2-2-2-21111-100000000000000-1-1111-1-111-1-1-1-11111000000000000000002-22-2-1-111-110000
χ422222-122-2-22-12-1-122-2-2-2-2-122-2-2-2-1-1-1-11122-2-22222-2-2-2-21111-100000000000000-1-1111-1-111-1-1-1-1111100000000000000000-22-2211-1-11-10000
χ432222-122-2-22-12-1-122-2-2-2-2-1-2-2-222-1-1-1-11122-2-2-2-2-2-222221111-100000000000000111-1-1-1-1111111-1-1-1-1000000000000000002-2-2211-1-1-110000
χ442222-122-2-22-12-1-122-2-2-2-2-1-2-2-222-1-1-1-11122-2-2-2-2-2-222221111-100000000000000111-1-1-1-1111111-1-1-1-100000000000000000-222-2-1-1111-10000
χ4522-2-222200-22-2-2-22-2000022-2000-22-22002-2002-22-200000000-22-22-20022-2-200002-20002-2002-22-200002-20002-2002-22-2000000000000000000
χ4622-2-222200-22-2-2-22-2000022-2000-22-22002-2002-22-200000000-2-22-2200-2-22200002-20002-2002-22-20000-22000-2200-22-22000000000000000000
χ4722-2-222200-22-2-2-22-200002-22000-22-22002-200-22-2200000000-22-22-20022-2-20000-220002-200-22-220000-220002-200-22-22000000000000000000
χ4822-2-222200-22-2-2-22-200002-22000-22-22002-200-22-2200000000-2-22-2200-2-2220000-220002-200-22-2200002-2000-22002-22-2000000000000000000
χ4922-2-222-20022-2-2-22-2000020002i−2i-22-2-200-220000002i−2i2i−2i000022-2-220022-2-200000002i−2i-220000002i−2i2i−2i0002i−2i-220000002i−2i2i−2i00000000000000
χ5022-2-222-20022-2-2-22-2000020002i−2i-22-2-200-220000002i−2i2i−2i00002-222-200-2-22200000002i−2i-220000002i−2i2i−2i000−2i2i2-2000000−2i2i−2i2i00000000000000
χ5122-2-222-20022-2-2-22-200002000−2i2i-22-2-200-22000000−2i2i−2i2i000022-2-220022-2-20000000−2i2i-22000000−2i2i−2i2i000−2i2i-22000000−2i2i−2i2i00000000000000
χ5222-2-222-20022-2-2-22-200002000−2i2i-22-2-200-22000000−2i2i−2i2i00002-222-200-2-2220000000−2i2i-22000000−2i2i−2i2i0002i−2i2-20000002i−2i2i−2i00000000000000
χ5322-2-22-1200-221-2-2-1133−3−3-12-20001-11200-113−3-11-113−3−3333−3−3-22-22-200-1-11133−3−32-2000-113−3-11-113−3−332-2000-113−3-11-113−3−3300000000000000
χ5422-2-22-1200-221-2-2-1133−3−3-12-20001-11200-113−3-11-113−3−3333−3−3-2-22-220011-1-1−3−3332-2000-113−3-11-113−3−33-220001-1−331-11-1−333−300000000000000
χ5522-2-22-1200-221-2-2-1133−3−3-1-220001-11200-113−31-11-1−333−333−3−3-22-22-200-1-11133−3−3-22000-113−31-11-1−333−3-22000-113−31-11-1−333−300000000000000
χ5622-2-22-1200-221-2-2-1133−3−3-1-220001-11200-113−31-11-1−333−333−3−3-2-22-220011-1-1−3−333-22000-113−31-11-1−333−32-20001-1−33-11-113−3−3300000000000000
χ5722-2-22-1200-221-2-2-11−3−333-12-20001-11200-11−33-11-11−333−3−3−333-22-22-200-1-111−3−3332-2000-11−33-11-11−333−32-2000-11−33-11-11−333−300000000000000
χ5822-2-22-1200-221-2-2-11−3−333-12-20001-11200-11−33-11-11−333−3−3−333-2-22-220011-1-133−3−32-2000-11−33-11-11−333−3-220001-13−31-11-13−3−3300000000000000
χ5922-2-22-1200-221-2-2-11−3−333-1-220001-11200-11−331-11-13−3−33−3−333-22-22-200-1-111−3−333-22000-11−331-11-13−3−33-22000-11−331-11-13−3−3300000000000000
χ6022-2-22-1200-221-2-2-11−3−333-1-220001-11200-11−331-11-13−3−33−3−333-2-22-220011-1-133−3−3-22000-11−331-11-13−3−332-20001-13−3-11-11−333−300000000000000
χ6122-2-22-1-200221-2-2-1133−3−3-10002i−2i1-11-2001-1−33−i3i3i3−i3−ii−ii33−3−322-2-2200-1-11133−3−30002i−2i1-1−33−i3i3i3−i3−ii−ii0002i−2i1-1−33−i3i3i3−i3−ii−ii00000000000000
χ6222-2-22-1-200221-2-2-1133−3−3-10002i−2i1-11-2001-1−33−i3i3i3−i3−ii−ii33−3−32-222-20011-1-1−3−3330002i−2i1-1−33−i3i3i3−i3−ii−ii000−2i2i-113−3i3−i3−i3i3i−ii−i00000000000000
χ6322-2-22-1-200221-2-2-1133−3−3-1000−2i2i1-11-2001-1−33i3−i3−i3i3i−ii−i33−3−322-2-2200-1-11133−3−3000−2i2i1-1−33i3−i3−i3i3i−ii−i000−2i2i1-1−33i3−i3−i3i3i−ii−i00000000000000
χ6422-2-22-1-200221-2-2-1133−3−3-1000−2i2i1-11-2001-1−33i3−i3−i3i3i−ii−i33−3−32-222-20011-1-1−3−333000−2i2i1-1−33i3−i3−i3i3i−ii−i0002i−2i-113−3−i3i3i3−i3−ii−ii00000000000000
χ6522-2-22-1-200221-2-2-11−3−333-10002i−2i1-11-2001-13−3i3−i3−i3i3−ii−ii−3−33322-2-2200-1-111−3−3330002i−2i1-13−3i3−i3−i3i3−ii−ii0002i−2i1-13−3i3−i3−i3i3−ii−ii00000000000000
χ6622-2-22-1-200221-2-2-11−3−333-10002i−2i1-11-2001-13−3i3−i3−i3i3−ii−ii−3−3332-222-20011-1-133−3−30002i−2i1-13−3i3−i3−i3i3−ii−ii000−2i2i-11−33−i3i3i3−i3i−ii−i00000000000000
χ6722-2-22-1-200221-2-2-11−3−333-1000−2i2i1-11-2001-13−3−i3i3i3−i3i−ii−i−3−33322-2-2200-1-111−3−333000−2i2i1-13−3−i3i3i3−i3i−ii−i000−2i2i1-13−3−i3i3i3−i3i−ii−i00000000000000
χ6822-2-22-1-200221-2-2-11−3−333-1000−2i2i1-11-2001-13−3−i3i3i3−i3i−ii−i−3−3332-222-20011-1-133−3−3000−2i2i1-13−3−i3i3i3−i3i−ii−i0002i−2i-11−33i3−i3−i3i3−ii−ii00000000000000
χ694444-24-444-4-24-2-2444444-200-400-2-2-22-2-2-4-4-4-400000000-2-2-2-2200000000000000002002222000000000000000000000000000000000000000
χ704444-24-4-4-4-4-24-2-244-4-4-4-4-200400-2-2-2222-4-44400000000222220000000000000000-20022-2-2000000000000000000000000000000000000000
χ714444-2-24444-2-2-2-2-2-2-2-2-2-2144444111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-200000000000000-2-2-2-2-21111111111110000000000000000000000000000000
χ724444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44-4-4111-2-2-2-2-2-2-2222222221111-20000000000000022-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000
χ734444-2-24-4-44-2-2-2-2-2-22222144-4-4-4111-222-2-222-2-2-2-22222-1-1-1-1-200000000000000-2-222211-1-11111-1-1-1-10000000000000000000000000000000
χ744444-2-24-4-44-2-2-2-2-2-222221-4-4-444111-222-2-2222222-2-2-2-2-1-1-1-1-200000000000000222-2-211-1-1-1-1-1-111110000000000000000000000000000000
χ754444-2-2-444-4-2-2-2-2-2-2-2-2-2-2100-4001112-2-22222−2i3−2i32i32i3−2i3−2i32i32i3111120000000000000000200-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000
χ764444-2-2-444-4-2-2-2-2-2-2-2-2-2-2100-4001112-2-222222i32i3−2i3−2i32i32i3−2i3−2i3111120000000000000000200-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000
χ774444-2-2-4-4-4-4-2-2-2-2-2-2222210040011122222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-1-1-1-120000000000000000-200-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000
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χ914-44-4440000-444-4-4-400004000004-4-40000000000000000000000004-400004-44-4000000000000000000000000000000000000000000000000
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χ984-4-44440−4i4i0-4-4-44-44−4i4i4i−4i400000-4-440−4i4i000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000
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χ1014-4-444-20−4i4i0-42-442-22i−2i−2i2i-20000022-20−4i4i0000000000002i−2i−2i2i0000000−2i32i32i3−2i3−232323−23000000000000000000000000000000000000000000000000
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χ1078-88-8-48000048-44-8-80000-400000-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-400004-4-4444−4i34i3−4i34i32000002-2-20000000000000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-400004-4-44444i3−4i34i3−4i32000002-2-2000000000000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-408i−8i0444-44-4−4i4i4i−4i200000-2-220−4i4i0000000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-40−8i8i0444-44-44i−4i−4i4i200000-2-2204i−4i000000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).