Finite Group Databasebeta

← Group #11871274

Character table — Group #11871274

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order122222334466666666662222346666666666666666612121212121244444412121212121212126666666666661212121212444441212121212121212121212122488242424246122488
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
χ511111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1111111-1-111-1-1
χ91111-1-11111-1-1-1-111111111-1-11-11111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1111111-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11-11-111-1-11-1-111-1
χ101111-1-11111-1-1-1-111111111-1-11-11111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1111111-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-1-11-11-1-111-111-1-11
χ111111-1-11111-1-1-1-111111111-1-11-11111-1-1-1-1-1-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111111-11-111-1-11-11-1-11
χ121111-1-11111-1-1-1-111111111-1-11-11111-1-1-1-1-1-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-11111-11-11-1-111-11-111-1
χ131111-1-11111-1-1-1-1111111-1-1111-1-1-1-1-11111-1-111-1-1-1-1111-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-111-111-1-1-1-1-1-111111-1-11-1-1111-1-11-11
χ141111-1-11111-1-1-1-1111111-1-1111-1-1-1-1-11111-1-111-1-1-1-1111-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-111-111-1-1-1-1-1-11111-111-111-1-1-111-11-1
χ151111-1-11111-1-1-1-1111111-1-1111-1-1-1-1-11111-1-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-111-1-11-1-1111111-1-1-1-11-1-11-1-1111-11-11-1
χ161111-1-11111-1-1-1-1111111-1-1111-1-1-1-1-11111-1-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-111-1-11-1-1111111-1-1-1-1-111-111-1-1-11-11-11
χ1722222222-2-2222222222200002-200000000222222222-2-2-2-2-2-22222-2-222222222000000000000-2-2-2-2-20000-2-2-2-2-20000000000000000000000
χ1822222222-2-2222222222200002-200000000222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2000000000000-2-2-2-2-20000222220000000000000000000000
χ192222222-1222222-12-12-122222-1222222222-1-1-1-1-1-1-1-1-12222-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ202222222-1222222-12-12-122222-1222222222-1-1-1-1-1-1-1-1-12222-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ212222222-1222222-12-12-12-2-2-2-2-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12222-1-100000000000000111111111111-1-1-1-1-10000000000000000022-2-21111-1-10000
χ222222222-1222222-12-12-12-2-2-2-2-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12222-1-100000000000000111111111111-1-1-1-1-100000000000000000-2-222-1-1-1-1110000
χ23222222-1222-1-1-1-12-12-12-12222-12-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ24222222-1222-1-1-1-12-12-12-12222-12-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-211111111111100000000000000
χ25222222-1222-1-1-1-12-12-12-1-2-2-2-2-121111111122-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-1-2-2-2-22-1-1-1-11111111100000000000000
χ26222222-1222-1-1-1-12-12-12-1-2-2-2-2-121111111122-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-211111111-2-2-2-2111111112-1-1-1-12222-21111-1-1-1-1-1-1-1-100000000000000
χ27222222-12-2-2-1-1-1-12-12-12-10000-1-2−i3−i3i3i3−i3−i3i3i322-1-1-1-1-1-1-11111-2-22222-2-2-1-1-1-1-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-211110000-21111−i3−i3i3i3−i3−i3i3i300000000000000
χ28222222-12-2-2-1-1-1-12-12-12-10000-1-2−i3−i3i3i3−i3−i3i3i322-1-1-1-1-1-1-11111-2-2-2-2-2-222111111110000−i3−i3i3i3−i3−i3i3i3-2111100002-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ29222222-12-2-2-1-1-1-12-12-12-10000-1-2i3i3−i3−i3i3i3−i3−i322-1-1-1-1-1-1-11111-2-22222-2-2-1-1-1-1-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-211110000-21111i3i3−i3−i3i3i3−i3−i300000000000000
χ30222222-12-2-2-1-1-1-12-12-12-10000-1-2i3i3−i3−i3i3i3−i3−i322-1-1-1-1-1-1-11111-2-2-2-2-2-222111111110000i3i3−i3−i3i3i3−i3−i3-2111100002-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ312222-2-222-2-2-2-2-2-222222200002200000000-2-222-2-2-2-22-2-222-2-222-2-2-2-22222-2-2-2-20000000000002-2-22200002-2-2220000000000000000000000
χ322222-2-222-2-2-2-2-2-222222200002200000000-2-222-2-2-2-22-2-222-2-2-2-22222-2-2-2-222220000000000002-2-2220000-222-2-20000000000000000000000
χ332222-2-22-122-2-2-2-2-12-12-1222-2-2-1-22222-2-2-2-211-1-11111-122-2-2-1-100000000000000-1-111-1-1-1-111111-1-111000000000000000002-22-2-1-111-110000
χ342222-2-22-122-2-2-2-2-12-12-1222-2-2-1-22222-2-2-2-211-1-11111-122-2-2-1-100000000000000-1-111-1-1-1-111111-1-11100000000000000000-22-2211-1-11-10000
χ352222-2-22-122-2-2-2-2-12-12-12-2-222-1-2-2-2-2-2222211-1-11111-122-2-2-1-10000000000000011-1-11111-1-1-1-11-1-111000000000000000002-2-2211-1-1-110000
χ362222-2-22-122-2-2-2-2-12-12-12-2-222-1-2-2-2-2-2222211-1-11111-122-2-2-1-10000000000000011-1-11111-1-1-1-11-1-11100000000000000000-222-2-1-1111-10000
χ372222-2-2-122211112-12-12-122-2-2-1-2-1-1-1-11111-2-2-1-11111-1-1-1112222-2-222-1-1-1-1111122-2-2-1-1-1-11111-2-1-11122-2-2-2-1-111-1-1-1-1111100000000000000
χ382222-2-2-122211112-12-12-122-2-2-1-2-1-1-1-11111-2-2-1-11111-1-1-11122-2-222-2-21111-1-1-1-122-2-2-1-1-1-11111-2-1-111-2-222211-1-11111-1-1-1-100000000000000
χ392222-2-2-122211112-12-12-1-2-222-1-21111-1-1-1-1-2-2-1-11111-1-1-1112222-2-222-1-1-1-11111-2-2221111-1-1-1-1-2-1-111-2-222-2-1-1111111-1-1-1-100000000000000
χ402222-2-2-122211112-12-12-1-2-222-1-21111-1-1-1-1-2-2-1-11111-1-1-11122-2-222-2-21111-1-1-1-1-2-2221111-1-1-1-1-2-1-11122-2-2211-1-1-1-1-1-1111100000000000000
χ412222-2-2-12-2-211112-12-12-10000-12−i3−i3i3i3i3i3−i3−i3-2-2-1-11111-111-1-1-2-222-2-2-2-2-1-1-1-111110000−i3−i3i3i3i3i3−i3−i3211-1-10000211-1-1−i3−i3i3i3i3i3−i3−i300000000000000
χ422222-2-2-12-2-211112-12-12-10000-12−i3−i3i3i3i3i3−i3−i3-2-2-1-11111-111-1-1-2-2-2-222221111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3211-1-10000-2-1-111i3i3−i3−i3−i3−i3i3i300000000000000
χ432222-2-2-12-2-211112-12-12-10000-12i3i3−i3−i3−i3−i3i3i3-2-2-1-11111-111-1-1-2-222-2-2-2-2-1-1-1-111110000i3i3−i3−i3−i3−i3i3i3211-1-10000211-1-1i3i3−i3−i3−i3−i3i3i300000000000000
χ442222-2-2-12-2-211112-12-12-10000-12i3i3−i3−i3−i3−i3i3i3-2-2-1-11111-111-1-1-2-2-2-222221111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3211-1-10000-2-1-111−i3−i3i3i3i3i3−i3−i300000000000000
χ4522-2-200222-20000-222-2-2-2002-22000002-22-200-2-2000022-2002-22i−2i002i−2i2i2i−2i−2i0000002-200002-22-202-200002i−2i02i−2i0000002i−2i2i−2i00000000000000
χ4622-2-200222-20000-222-2-2-2002-22000002-22-200-2-2000022-2002-2−2i2i00−2i2i−2i−2i2i2i0000002-200002-22-202-20000−2i2i0−2i2i000000−2i2i−2i2i00000000000000
χ4722-2-200222-20000-222-2-2-200-22200000-22-2200-2-2000022-2002-22i−2i002i−2i2i2i−2i−2i000000-220000-22-2202-20000−2i2i02i−2i000000−2i2i−2i2i00000000000000
χ4822-2-200222-20000-222-2-2-200-22200000-22-2200-2-2000022-2002-2−2i2i00−2i2i−2i−2i2i2i000000-220000-22-2202-200002i−2i0−2i2i0000002i−2i2i−2i00000000000000
χ4922-2-20022-220000-222-2-2-22-200202-22-2000000-2-200002-2200-222i−2i00−2i2i2i2i−2i−2i00002-2002-22-200000-22002i−2i000−2i2i002i−2i2i−2i000000000000000000
χ5022-2-20022-220000-222-2-2-22-200202-22-2000000-2-200002-2200-22−2i2i002i−2i−2i−2i2i2i00002-2002-22-200000-2200−2i2i0002i−2i00−2i2i−2i2i000000000000000000
χ5122-2-20022-220000-222-2-2-2-220020-22-22000000-2-200002-2200-222i−2i00−2i2i2i2i−2i−2i0000-2200-22-2200000-2200−2i2i000−2i2i00−2i2i−2i2i000000000000000000
χ5222-2-20022-220000-222-2-2-2-220020-22-22000000-2-200002-2200-22−2i2i002i−2i−2i−2i2i2i0000-2200-22-2200000-22002i−2i0002i−2i002i−2i2i−2i000000000000000000
χ5322-2-200-122-2−i3−i3i3i3-2-121-21002-2-10−i3i3i3−i3-11-110011−i3−i3i3i3-1-11−i3i32-22i−2i002i−2i−i−iii33−3−3002-2−i3i3i3−i3-11-110-11−i3i3002i−2i0−ii3−33−3−33−ii−ii00000000000000
χ5422-2-200-122-2−i3−i3i3i3-2-121-21002-2-10−i3i3i3−i3-11-110011−i3−i3i3i3-1-11−i3i32-2−2i2i00−2i2iii−i−i−3−333002-2−i3i3i3−i3-11-110-11−i3i300−2i2i0i−i−33−333−3i−ii−i00000000000000
χ5522-2-200-122-2−i3−i3i3i3-2-121-2100-22-10i3−i3−i3i31-11-10011−i3−i3i3i3-1-11−i3i32-22i−2i002i−2i−i−iii33−3−300-22i3−i3−i3i31-11-10-11−i3i300−2i2i0−ii3−3−333−3i−ii−i00000000000000
χ5622-2-200-122-2−i3−i3i3i3-2-121-2100-22-10i3−i3−i3i31-11-10011−i3−i3i3i3-1-11−i3i32-2−2i2i00−2i2iii−i−i−3−33300-22i3−i3−i3i31-11-10-11−i3i3002i−2i0i−i−333−3−33−ii−ii00000000000000
χ5722-2-200-122-2i3i3−i3−i3-2-121-21002-2-10i3−i3−i3i3-11-110011i3i3−i3−i3-1-11i3−i32-22i−2i002i−2i−i−iii−3−333002-2i3−i3−i3i3-11-110-11i3−i3002i−2i0−ii−33−333−3−ii−ii00000000000000
χ5822-2-200-122-2i3i3−i3−i3-2-121-21002-2-10i3−i3−i3i3-11-110011i3i3−i3−i3-1-11i3−i32-2−2i2i00−2i2iii−i−i33−3−3002-2i3−i3−i3i3-11-110-11i3−i300−2i2i0i−i3−33−3−33i−ii−i00000000000000
χ5922-2-200-122-2i3i3−i3−i3-2-121-2100-22-10−i3i3i3−i31-11-10011i3i3−i3−i3-1-11i3−i32-22i−2i002i−2i−i−iii−3−33300-22−i3i3i3−i31-11-10-11i3−i300−2i2i0−ii−333−3−33i−ii−i00000000000000
χ6022-2-200-122-2i3i3−i3−i3-2-121-2100-22-10−i3i3i3−i31-11-10011i3i3−i3−i3-1-11i3−i32-2−2i2i00−2i2iii−i−i33−3−300-22−i3i3i3−i31-11-10-11i3−i3002i−2i0i−i3−3−333−3−ii−ii00000000000000
χ6122-2-200-12-22−i3−i3i3i3-2-121-212-200-10-11-11−i3i3i3−i30011−i3−i3i3i3-11-1i3−i3-222i−2i00−2i2i−i−iii33−3−32-200-11-11−i3i3i3−i301-1i3−i32i−2i000i−i−33−ii−ii3−3−3300000000000000
χ6222-2-200-12-22−i3−i3i3i3-2-121-212-200-10-11-11−i3i3i3−i30011−i3−i3i3i3-11-1i3−i3-22−2i2i002i−2iii−i−i−3−3332-200-11-11−i3i3i3−i301-1i3−i3−2i2i000−ii3−3i−ii−i−333−300000000000000
χ6322-2-200-12-22−i3−i3i3i3-2-121-21-2200-101-11-1i3−i3−i3i30011−i3−i3i3i3-11-1i3−i3-222i−2i00−2i2i−i−iii33−3−3-22001-11-1i3−i3−i3i301-1i3−i3−2i2i000i−i−33i−ii−i−333−300000000000000
χ6422-2-200-12-22−i3−i3i3i3-2-121-21-2200-101-11-1i3−i3−i3i30011−i3−i3i3i3-11-1i3−i3-22−2i2i002i−2iii−i−i−3−333-22001-11-1i3−i3−i3i301-1i3−i32i−2i000−ii3−3−ii−ii3−3−3300000000000000
χ6522-2-200-12-22i3i3−i3−i3-2-121-212-200-10-11-11i3−i3−i3i30011i3i3−i3−i3-11-1−i3i3-222i−2i00−2i2i−i−iii−3−3332-200-11-11i3−i3−i3i301-1−i3i32i−2i000i−i3−3−ii−ii−333−300000000000000
χ6622-2-200-12-22i3i3−i3−i3-2-121-212-200-10-11-11i3−i3−i3i30011i3i3−i3−i3-11-1−i3i3-22−2i2i002i−2iii−i−i33−3−32-200-11-11i3−i3−i3i301-1−i3i3−2i2i000−ii−33i−ii−i3−3−3300000000000000
χ6722-2-200-12-22i3i3−i3−i3-2-121-21-2200-101-11-1−i3i3i3−i30011i3i3−i3−i3-11-1−i3i3-222i−2i00−2i2i−i−iii−3−333-22001-11-1−i3i3i3−i301-1−i3i3−2i2i000i−i3−3i−ii−i3−3−3300000000000000
χ6822-2-200-12-22i3i3−i3−i3-2-121-21-2200-101-11-1−i3i3i3−i30011i3i3−i3−i3-11-1−i3i3-22−2i2i002i−2iii−i−i33−3−3-22001-11-1−i3i3i3−i301-1−i3i32i−2i000−ii−33−ii−ii−333−300000000000000
χ694444444-2-4-44444-24-24-240000-2-400000000-2-2-2-2-2-2-2-2-2-4-4-4-42200000000000000000000000000222220000000000000000000000000000000
χ70444444-2-244-2-2-2-2-2-2-2-2-2-2444414-2-2-2-2-2-2-2-2-2-21111111-2-2-2-2-2-200000000000000-2-2-2-211111111-211110000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).