Finite Group Databasebeta

← Group #11817833

Character table — Group #11817833

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666662234466666666666444446666661212121212121212121212121212121244444444441212121212121212444424661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-11-1-1-1-111-1-111-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1111
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-111-1-1111
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-11111-1
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-111111111-1
χ17222222222-1222-1-1-12-1-122-1-1222-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-1-12-1-122-1-1222-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-200-2-200111111110000-2011110000000000000
χ19222222222-1222-1-1-12-1-122-1-1222-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-1-1-1-111-2-211-2-21111111100-2-2002200-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-1222-1-1-12-1-122-1-1222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-1-1-1-111-2-211-2-211111111002200-2-20011111111000020-1-1-1-10000000000000
χ21222222222-1222-1-1-12-1-122-1-12-2-2-1221111-1-1-1-1-1-1-12222-2-2-21111-1-1-2-21122-1-1-1-11111002200-2-200-1-1-1-111110000-2011-1-10000000000000
χ22222222222-1222-1-1-12-1-122-1-12-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-2-2-21111-1-1-2-21122-1-1-1-1111100-2-20022001111-1-1-1-1000020-1-1110000000000000
χ23222222222-1222-1-1-12-1-122-1-12-2-2-1-2-21111-1-1-1-1-1-1-122222-2-211111122-1-1-2-21111-1-1-1-100-2-200-2-200-1-1-1-11111000020-1-1110000000000000
χ24222222222-1222-1-1-12-1-122-1-12-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-22-2-211111122-1-1-2-21111-1-1-1-100220022001111-1-1-1-10000-2011-1-10000000000000
χ2522222222-12-1-1-1222-122-1-122-122-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12200220022000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-1222-122-1-122-122-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-20000000000000-200001111111100000
χ2722222222-12-1-1-1222-122-1-122-122-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-211-2-211111111112200-2-200-2-2000000000000020000-1-111-1-11100000
χ2822222222-12-1-1-1222-122-1-122-122-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-211-2-21111111111-2-2002200220000000000000-2000011-1-111-1-100000
χ2922222222-12-1-1-1222-122-1-122-1-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-21111112211-2-2-1-1-1-1-1-111112200-2-200220000000000000-20000-1-11111-1-100000
χ3022222222-12-1-1-1222-122-1-122-1-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-21111112211-2-2-1-1-1-1-1-11111-2-2002200-2-200000000000002000011-1-1-1-11100000
χ3122222222-12-1-1-1222-122-1-122-1-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-100002111111-2-2-1-122111111-1-1-1-122002200-2-20000000000000-20000-1-1-1-1111100000
χ3222222222-12-1-1-1222-122-1-122-1-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-100002111111-2-2-1-122111111-1-1-1-1-2-200-2-200220000000000000200001111-1-1-1-100000
χ3322-22-2-2-22222-2-222-2-22-22-2-2-2200200000022-2-2-22-22i2i−2i−2i000000000000000000000002-2000000002i2i−2i−2i000000000000002-20000002i−2i000
χ3422-22-2-2-22222-2-222-2-22-22-2-2-2200200000022-2-2-22-22i2i−2i−2i00000000000000000000000-22000000002i2i−2i−2i00000000000000-22000000−2i2i000
χ3522-22-2-2-22222-2-222-2-22-22-2-2-2200200000022-2-2-22-2−2i−2i2i2i000000000000000000000002-200000000−2i−2i2i2i000000000000002-2000000−2i2i000
χ3622-22-2-2-22222-2-222-2-22-22-2-2-2200200000022-2-2-22-2−2i−2i2i2i00000000000000000000000-2200000000−2i−2i2i2i00000000000000-220000002i−2i000
χ3722-2-22-22-2222222-2-2-2-2-2-2-222-22-220022-2-22-222-2-2-2000002-222-2-200000000000000000000000000000000002i2i−2i−2i00000000000000002i−2i0
χ3822-2-22-22-2222222-2-2-2-2-2-2-222-22-220022-2-22-222-2-2-2000002-222-2-20000000000000000000000000000000000−2i−2i2i2i0000000000000000−2i2i0
χ3922-2-22-22-2222222-2-2-2-2-2-2-222-2-22200-2-2222-222-2-2-200000-22-2-22200000000000000000000000000000000002i2i−2i−2i0000000000000000−2i2i0
χ4022-2-22-22-2222222-2-2-2-2-2-2-222-2-22200-2-2222-222-2-2-200000-22-2-2220000000000000000000000000000000000−2i−2i2i2i00000000000000002i−2i0
χ412-222-2-22-222-22-2-22-22-222-2-22-2002000000-222-2-2-222-22-200000000000000000000000000000002i−2i2-22-200002i−2i2i−2i0000000000002i−2i00000
χ422-222-2-22-222-22-2-22-22-222-2-22-2002000000-222-2-2-222-22-20000000000000000000000000000000−2i2i2-22-20000−2i2i−2i2i000000000000−2i2i00000
χ432-222-2-22-222-22-2-22-22-222-2-22-2002000000-222-2-2-22-22-2200000000000000000000000000000002i−2i-22-220000−2i2i−2i2i0000000000002i−2i00000
χ442-222-2-22-222-22-2-22-22-222-2-22-2002000000-222-2-2-22-22-220000000000000000000000000000000−2i2i-22-2200002i−2i2i−2i000000000000−2i2i00000
χ452-2-2222-2-222-2-22-222-2-2-2222-2-20022i−2i0000-22-222-2-22i−2i−2i2i00000002i−2i00002i−2i2i2i−2i−2i0000002-20000002i−2i−2i2i0000000000002-20000000000000
χ462-2-2222-2-222-2-22-222-2-2-2222-2-20022i−2i0000-22-222-2-2−2i2i2i−2i00000002i−2i00002i−2i2i2i−2i−2i000000-22000000−2i2i2i−2i000000000000-220000000000000
χ472-2-2222-2-222-2-22-222-2-2-2222-2-2002−2i2i0000-22-222-2-22i−2i−2i2i0000000−2i2i0000−2i2i−2i−2i2i2i000000-220000002i−2i−2i2i000000000000-220000000000000
χ482-2-2222-2-222-2-22-222-2-2-2222-2-2002−2i2i0000-22-222-2-2−2i2i2i−2i0000000−2i2i0000−2i2i−2i−2i2i2i0000002-2000000−2i2i2i−2i0000000000002-20000000000000
χ492-2-2222-2-22-1-2-221-1-1-21122-11-200-12i−2i−i3i3−i3i31-11-1-1112i−2i−2i2i000−i3i3−i3i3−ii003−32i−2i−i−iii33−3−3002-2000000−iii−i33−3−3000000−i3i3-110000000000000
χ502-2-2222-2-22-1-2-221-1-1-21122-11-200-12i−2i−i3i3−i3i31-11-1-111−2i2i2i−2i000−i3i3−i3i3−ii003−32i−2i−i−iii33−3−300-22000000i−i−ii−3−333000000i3−i31-10000000000000
χ512-2-2222-2-22-1-2-221-1-1-21122-11-200-12i−2ii3−i3i3−i31-11-1-1112i−2i−2i2i000i3−i3i3−i3−ii00−332i−2i−i−iii−3−333002-2000000−iii−i−3−333000000i3−i3-110000000000000
χ522-2-2222-2-22-1-2-221-1-1-21122-11-200-12i−2ii3−i3i3−i31-11-1-111−2i2i2i−2i000i3−i3i3−i3−ii00−332i−2i−i−iii−3−33300-22000000i−i−ii33−3−3000000−i3i31-10000000000000
χ532-2-2222-2-22-1-2-221-1-1-21122-11-200-1−2i2i−i3i3−i3i31-11-1-1112i−2i−2i2i000−i3i3−i3i3i−i00−33−2i2iii−i−i−3−33300-22000000−iii−i33−3−3000000i3−i31-10000000000000
χ542-2-2222-2-22-1-2-221-1-1-21122-11-200-1−2i2i−i3i3−i3i31-11-1-111−2i2i2i−2i000−i3i3−i3i3i−i00−33−2i2iii−i−i−3−333002-2000000i−i−ii−3−333000000−i3i3-110000000000000
χ552-2-2222-2-22-1-2-221-1-1-21122-11-200-1−2i2ii3−i3i3−i31-11-1-1112i−2i−2i2i000i3−i3i3−i3i−i003−3−2i2iii−i−i33−3−300-22000000−iii−i−3−333000000−i3i31-10000000000000
χ562-2-2222-2-22-1-2-221-1-1-21122-11-200-1−2i2ii3−i3i3−i31-11-1-111−2i2i2i−2i000i3−i3i3−i3i−i003−3−2i2iii−i−i33−3−3002-2000000i−i−ii33−3−3000000i3−i3-110000000000000
χ572-2-2-2-222222-22-2-2-22-22-2-22-222002000000-2-22-222-200000000000000000000000000000002-22-20000002-22-22-2-22000000002-2000000000
χ582-2-2-2-222222-22-2-2-22-22-2-22-222002000000-2-22-222-200000000000000000000000000000002-2-22000000-22-22-222-2000000002-2000000000
χ592-2-2-2-222222-22-2-2-22-22-2-22-222002000000-2-22-222-20000000000000000000000000000000-222-20000002-22-2-222-200000000-22000000000
χ602-2-2-2-222222-22-2-2-22-22-2-22-222002000000-2-22-222-20000000000000000000000000000000-22-22000000-22-222-2-2200000000-22000000000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-244144-2-2-2-2111111100004-2-21111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4-2-2-2-211111110000-4-2-2111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4144222211111110000-422-1-1-1-1-2-22222-2-21111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-4222211111110000422-1-1-1-122-2-2-2-222-1-1-1-1111100000000000000000000000000000000000000000
χ65444-4-44-4-4444-4-44-444-44-44-4-4-40040000004-4-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ66444-4-44-4-44-24-4-4-22-242-2-4422-400-2000000-2222-22-20000000000000000000000000000000000000000023−23−232300000000000000000000000
χ67444-4-44-4-44-24-4-4-22-242-2-4422-400-2000000-2222-22-200000000000000000000000000000000000000000−232323−2300000000000000000000000
χ68444-4-44-4-4-24-2224-44-2-442-2-4-4200-2000000-2222-22-20000000000000000000000000000000000000000000000000000000000023−230000000
χ69444-4-44-4-4-24-2224-44-2-442-2-4-4200-2000000-2222-22-200000000000000000000000000000000000000000000000000000000000−23230000000
χ7044-44-4-4-444-24-4-4-2-22-4-224-422400-2000000-2-2222-224i4i−4i−4i000000000000000000000000000000000−2i−2i2i2i000000000000000000000000000
χ7144-44-4-4-444-24-4-4-2-22-4-224-422400-2000000-2-2222-22−4i−4i4i4i0000000000000000000000000000000002i2i−2i−2i000000000000000000000000000
χ7244-44-4-4-44-24-22244-424-4-22-4-4-200-2000000-2-2222-220000000000000000000000000004-400000000000000000000000000-2200000000000
χ7344-44-4-4-44-24-22244-424-4-22-4-4-200-2000000-2-2222-22000000000000000000000000000-44000000000000000000000000002-200000000000
χ7444-4-44-44-44-2444-222-422-4-4-2-2-44-4-200-2-222-22-2-2222000004-4-2-222000000000000000000000000000000000000000000000000000000000
χ7544-4-44-44-44-2444-222-422-4-4-2-2-4-44-20022-2-2-22-2-222200000-4422-2-2000000000000000000000000000000000000000000000000000000000
χ7644-4-44-44-4-24-2-2-24-4-42-4-4224424-4-20044-4-4-22-2-222200000-22-2-222000000000000000000000000000000000000000000000000000000000
χ7744-4-44-44-4-24-2-2-24-4-42-4-422442-44-200-4-444-22-2-2222000002-222-2-2000000000000000000000000000000000000000000000000000000000
χ7844-4-44-44-4-2-2-2-2-2-22222222-2-224-4100-2-2221-111-1-1-100000-2211-1-1000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000000000000
χ7944-4-44-44-4-2-2-2-2-2-22222222-2-224-4100-2-2221-111-1-1-100000-2211-1-100000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000000000000
χ8044-4-44-44-4-2-2-2-2-2-22222222-2-22-4410022-2-21-111-1-1-1000002-2-1-111000000003i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000000000
χ8144-4-44-44-4-2-2-2-2-2-22222222-2-22-4410022-2-21-111-1-1-1000002-2-1-11100000000−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000000000
χ824-444-4-44-44-2-44-42-2242-24-42-2-400-20000002-2-2222-24-44-4000000000000000000000000000000000-22-22000000000000000000000000000
χ834-444-4-44-44-2-44-42-2242-24-42-2-400-20000002-2-2222-2-44-440000000000000000000000000000000002-22-2000000000000000000000000000
χ844-444-4-44-4-242-22-44-4-2-44-22-44200-20000002-2-2222-2000000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000
χ854-444-4-44-4-242-22-44-4-2-44-22-44200-20000002-2-2222-200000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000
χ864-44-44-4-4444-4-44-4-4-4444-4-44-44004000000-4-4-44-44400000000000000000000000000000000000000000000000000000000000000000000
χ874-44-44-4-444-2-4-442224-2-2-4-4-22400-200−2i32i32i3−2i3222-22-2-20000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ884-44-44-4-444-2-4-442224-2-2-4-4-22400-2002i3−2i3−2i32i3222-22-2-200000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ894-44-44-4-44-2422-2-4-4-4-244224-4-200-2000000222-22-2-20000000000000−2i32i300000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ904-44-44-4-44-2422-2-4-4-4-244224-4-200-2000000222-22-2-200000000000002i3−2i3000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ914-44-44-4-44-2-222-2222-2-2-222-22-200100−2i32i32i3−2i3-1-1-11-1110000000i3−i3−i3i300−2i32i30000-333-3i3−i3−i3i300000000000000000000000000000000000000000
χ924-44-44-4-44-2-222-2222-2-2-222-22-200100−2i32i32i3−2i3-1-1-11-1110000000i3−i3−i3i3002i3−2i300003-3-33−i3i3i3−i300000000000000000000000000000000000000000
χ934-44-44-4-44-2-222-2222-2-2-222-22-2001002i3−2i3−2i32i3-1-1-11-1110000000−i3i3i3−i300−2i32i300003-3-33i3−i3−i3i300000000000000000000000000000000000000000
χ944-44-44-4-44-2-222-2222-2-2-222-22-2001002i3−2i3−2i32i3-1-1-11-1110000000−i3i3i3−i3002i3−2i30000-333-3−i3i3i3−i300000000000000000000000000000000000000000
χ954-4-4444-4-4-2422-2-4442-4-4-2-24-4200-24i−4i00002-22-2-222000000000004i−4i0000−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000
χ964-4-4444-4-4-2422-2-4442-4-4-2-24-4200-2−4i4i00002-22-2-22200000000000−4i4i00002i−2i2i2i−2i−2i000000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-222-22-2-2222-2-2-2220014i−4i−2i32i3−2i32i3-11-111-1-10000000i3−i3i3−i3−2i2i0023−23−2i2iii−i−i−3−33300000000000000000000000000000000000000000
χ984-4-4444-4-4-2-222-22-2-2222-2-2-2220014i−4i2i3−2i32i3−2i3-11-111-1-10000000−i3i3−i3i3−2i2i00−2323−2i2iii−i−i33−3−300000000000000000000000000000000000000000
χ994-4-4444-4-4-2-222-22-2-2222-2-2-222001−4i4i−2i32i3−2i32i3-11-111-1-10000000i3−i3i3−i32i−2i00−23232i−2i−i−iii33−3−300000000000000000000000000000000000000000
χ1004-4-4444-4-4-2-222-22-2-2222-2-2-222001−4i4i2i3−2i32i3−2i3-11-111-1-10000000−i3i3−i3i32i−2i0023−232i−2i−i−iii−3−33300000000000000000000000000000000000000000
χ1014-4-4-4-44444-2-44-422-2-4-22-442-2400-200000022-22-2-220000000000000000000000000000000004-4000000-22-2200000000000000000000000
χ1024-4-4-4-44444-2-44-422-2-4-22-442-2400-200000022-22-2-22000000000000000000000000000000000-440000002-22-200000000000000000000000
χ1034-4-4-4-4444-242-22-4-4424-42-2-44-200-200000022-22-2-2200000000000000000000000000000004-4000000000000000000000000-22000000000
χ1044-4-4-4-4444-242-22-4-4424-42-2-44-200-200000022-22-2-220000000000000000000000000000000-440000000000000000000000002-2000000000
χ105888-8-88-8-8-4-4-444-44-4-44-44-44440020000002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-8-88-4-4-444-4-444-44-4444-400200000022-2-2-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-44-444-44-44-4-444-44002000000-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8-8888-4-44-4444-44-444-44-4-4002000000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000

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