Finite Group Databasebeta

← Group #11824508

Character table — Group #11824508

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121222444444441212121212121212444444661212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-111-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-11111-1
χ17222222222-1222-1-1-12-122-1-1-12-12222-1-1-1-1-1-1-1222200002-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200220000000000000002-1-1-1-1-1-1-1-1000000000
χ18222222222-1222-1-1-12-122-1-1-12-12222-1-1-1-1-1-1-1222200002-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2000000000000000-211111111000000000
χ19222222222-1222-1-1-12-122-1-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-11111-2-2-2-2-1-1-1-11111111122-2-200-2-20000000000000002-1-11111-1-1000000000
χ20222222222-1222-1-1-12-122-1-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-11111-2-2-2-2-1-1-1-111111111-2-2220022000000000000000-211-1-1-1-111000000000
χ21222222222-1222-1-1-12-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-1-11122-2-21111-1-1-1-11111222200-2-2000000000000000-2-1-1-1-11111000000000
χ22222222222-1222-1-1-12-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-1-11122-2-21111-1-1-1-11111-2-2-2-2002200000000000000021111-1-1-1-1000000000
χ23222222222-1222-1-1-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-1-1-2-22211111111-1-1-1-122-2-20022000000000000000-2-1-111-1-111000000000
χ24222222222-1222-1-1-12-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-1-1-2-22211111111-1-1-1-1-2-22200-2-2000000000000000211-1-111-1-1000000000
χ2522222222-12-1-1-1222-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220022-1-1-1-1-1-1-1-100002000000000-1-1-1-100000
χ2622222222-12-1-1-1222-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2111111110000-2000000000111100000
χ2722222222-12-1-1-1222-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-2-2-2-21111-1-1-1-11111111100002200-2-2-1-1-1-1-1-1-1-10000-2000000000111100000
χ2822222222-12-1-1-1222-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-2-2-2-21111-1-1-1-1111111110000-2-200221111111100002000000000-1-1-1-100000
χ2922222222-12-1-1-1222-12-1-1222-1-1-2-222-1-1-1-1-1-1-111112222-2-2-222-2-2-1-1111111-1-1-1-111110000-2-20022-1-1-1-111110000-2000000000-1-11100000
χ3022222222-12-1-1-1222-12-1-1222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-222-2-2-1-1111111-1-1-1-1111100002200-2-21111-1-1-1-10000200000000011-1-100000
χ3122222222-12-1-1-1222-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-2-22211-1-111111111-1-1-1-10000-2-200-2-2-1-1-1-111110000200000000011-1-100000
χ3222222222-12-1-1-1222-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-2-22211-1-111111111-1-1-1-100002200221111-1-1-1-10000-2000000000-1-11100000
χ332222-2-2-2-22222-2222-2-22-2-2-2-2-220000222-2-2-2-2000022-2-2000000000000000000000002-20000000022-2-200000000002-200000000002-2000
χ342222-2-2-2-22222-2222-2-22-2-2-2-2-220000222-2-2-2-2000022-2-200000000000000000000000-220000000022-2-20000000000-220000000000-22000
χ352222-2-2-2-22222-2222-2-22-2-2-2-2-220000222-2-2-2-20000-2-222000000000000000000000002-200000000-2-22200000000002-20000000000-22000
χ362222-2-2-2-22222-2222-2-22-2-2-2-2-220000222-2-2-2-20000-2-22200000000000000000000000-2200000000-2-2220000000000-2200000000002-2000
χ3722-2-2-22-22222-2-22-2-2-2-2-222-222200002-2-22-2-22000000000000000000000000000000000002-22-200000022-2-222-2-20000002-200000000000
χ3822-2-2-22-22222-2-22-2-2-2-2-222-222200002-2-22-2-22000000000000000000000000000000000002-2-2200000022-2-2-2-222000000-2200000000000
χ3922-2-2-22-22222-2-22-2-2-2-2-222-222200002-2-22-2-2200000000000000000000000000000000000-222-2000000-2-222-2-2220000002-200000000000
χ4022-2-2-22-22222-2-22-2-2-2-2-222-222200002-2-22-2-2200000000000000000000000000000000000-22-22000000-2-22222-2-2000000-2200000000000
χ412-22-2-2-22222-22-2-22-222-2-2-2-22222-200-22-2-2-22222-2-2000002-20000000022-2-2000000000000000000000000002-22-200000000000000002-20
χ422-22-2-2-22222-22-2-22-222-2-2-2-22222-200-22-2-2-22222-2-2000002-20000000022-2-200000000000000000000000000-22-220000000000000000-220
χ432-22-2-2-22222-22-2-22-222-2-2-2-2222-2200-22-2-2-222-2-22200000-2200000000-2-222000000000000000000000000002-22-20000000000000000-220
χ442-22-2-2-22222-22-2-22-222-2-2-2-2222-2200-22-2-2-222-2-22200000-2200000000-2-22200000000000000000000000000-22-2200000000000000002-20
χ452-2-222-2-2222-2-22-2-22-2-22-2-222220000-2-22-22-2200002-22-200000000000000000000000002-20000002-22-200002-2-2200002-20000000000000
χ462-2-222-2-2222-2-22-2-22-2-22-2-222220000-2-22-22-2200002-22-20000000000000000000000000-220000002-22-20000-222-20000-220000000000000
χ472-2-222-2-2222-2-22-2-22-2-22-2-222220000-2-22-22-220000-22-2200000000000000000000000002-2000000-22-220000-222-200002-20000000000000
χ482-2-222-2-2222-2-22-2-22-2-22-2-222220000-2-22-22-220000-22-220000000000000000000000000-22000000-22-2200002-2-220000-220000000000000
χ492-2-22-222-222-2-2-2-2-2222222-2-2-22002i−2i-2-222-22-200002-2-220002i−2i002i−2i0000002i2i−2i−2i0000000000002i−2i2-2-220000000000000000002i−2i0000000
χ502-2-22-222-222-2-2-2-2-2222222-2-2-22002i−2i-2-222-22-20000-222-20002i−2i002i−2i0000002i2i−2i−2i000000000000−2i2i-222-2000000000000000000−2i2i0000000
χ512-2-22-222-222-2-2-2-2-2222222-2-2-2200−2i2i-2-222-22-200002-2-22000−2i2i00−2i2i000000−2i−2i2i2i000000000000−2i2i2-2-22000000000000000000−2i2i0000000
χ522-2-22-222-222-2-2-2-2-2222222-2-2-2200−2i2i-2-222-22-20000-222-2000−2i2i00−2i2i000000−2i−2i2i2i0000000000002i−2i-222-20000000000000000002i−2i0000000
χ532-2-22-222-2-12111-2-22-12-1-12-2-21-1002i−2i11-1-11-11−i3i3−i3i32-2-220002i−2i00−ii3−3−i3i3−i3i3−i−iii33−3−3000000002i−2i-111-1−i3i3−i3i300000000000000−ii3−300000
χ542-2-22-222-2-12111-2-22-12-1-12-2-21-1002i−2i11-1-11-11−i3i3−i3i3-222-20002i−2i00−ii3−3−i3i3−i3i3−i−iii33−3−300000000−2i2i1-1-11i3−i3i3−i300000000000000i−i−3300000
χ552-2-22-222-2-12111-2-22-12-1-12-2-21-1002i−2i11-1-11-11i3−i3i3−i32-2-220002i−2i00−ii−33i3−i3i3−i3−i−iii−3−333000000002i−2i-111-1i3−i3i3−i300000000000000−ii−3300000
χ562-2-22-222-2-12111-2-22-12-1-12-2-21-1002i−2i11-1-11-11i3−i3i3−i3-222-20002i−2i00−ii−33i3−i3i3−i3−i−iii−3−33300000000−2i2i1-1-11−i3i3−i3i300000000000000i−i3−300000
χ572-2-22-222-2-12111-2-22-12-1-12-2-21-100−2i2i11-1-11-11−i3i3−i3i32-2-22000−2i2i00i−i−33−i3i3−i3i3ii−i−i−3−33300000000−2i2i-111-1−i3i3−i3i300000000000000i−i−3300000
χ582-2-22-222-2-12111-2-22-12-1-12-2-21-100−2i2i11-1-11-11−i3i3−i3i3-222-2000−2i2i00i−i−33−i3i3−i3i3ii−i−i−3−333000000002i−2i1-1-11i3−i3i3−i300000000000000−ii3−300000
χ592-2-22-222-2-12111-2-22-12-1-12-2-21-100−2i2i11-1-11-11i3−i3i3−i32-2-22000−2i2i00i−i3−3i3−i3i3−i3ii−i−i33−3−300000000−2i2i-111-1i3−i3i3−i300000000000000i−i3−300000
χ602-2-22-222-2-12111-2-22-12-1-12-2-21-100−2i2i11-1-11-11i3−i3i3−i3-222-2000−2i2i00i−i3−3i3−i3i3−i3ii−i−i33−3−3000000002i−2i1-1-11−i3i3−i3i300000000000000−ii−3300000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-422-2-222-2-222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-411111112222000042222-2-222-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000
χ654444-4-4-4-44-244-4-2-2-2-424-4222-4-20000-2-2-2222200000000000000000000000000000004-40000000000000000000000-22000000000000000
χ664444-4-4-4-44-244-4-2-2-2-424-4222-4-20000-2-2-222220000000000000000000000000000000-4400000000000000000000002-2000000000000000
χ674444-4-4-4-4-24-2-224442-4-22-4-4-42-20000-2-2-22222000044-4-4000000000000000000000000000000000-2-222000000000000000000000000000
χ684444-4-4-4-4-24-2-224442-4-22-4-4-42-20000-2-2-222220000-4-44400000000000000000000000000000000022-2-2000000000000000000000000000
χ6944-4-44-44-4444-444-4-444-4-4-44-4-4400004-4-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ7044-4-44-44-44-24-44-2224-2-4-42-22-4-20000-2222-2-22000000000000023−2300000000000023−2323−2300000000000000000000000000000000000000000
χ7144-4-44-44-44-24-44-2224-2-4-42-22-4-20000-2222-2-220000000000000−2323000000000000−2323−232300000000000000000000000000000000000000000
χ7244-4-44-44-4-24-22-24-4-4-2422-44-42-20000-2222-2-22−2i32i32i3−2i3000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000
χ7344-4-44-44-4-24-22-24-4-4-2422-44-42-20000-2222-2-222i3−2i3−2i32i30000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000
χ7444-4-44-44-4-2-2-22-2-222-2-2222-222100001-1-1-111-1−2i32i32i3−2i300000000023−230000i3−i3−i3i33i−3i3i−3i−33−3300000000000000000000000000000000000000000
χ7544-4-44-44-4-2-2-22-2-222-2-2222-222100001-1-1-111-1−2i32i32i3−2i3000000000−23230000i3−i3−i3i3−3i3i−3i3i3−33−300000000000000000000000000000000000000000
χ7644-4-44-44-4-2-2-22-2-222-2-2222-222100001-1-1-111-12i3−2i3−2i32i300000000023−230000−i3i3i3−i3−3i3i−3i3i−33−3300000000000000000000000000000000000000000
χ7744-4-44-44-4-2-2-22-2-222-2-2222-222100001-1-1-111-12i3−2i3−2i32i3000000000−23230000−i3i3i3−i33i−3i3i−3i3−33−300000000000000000000000000000000000000000
χ7844-4-4-44-444-24-4-4-222-42-44-22-24-20000-222-222-200000000000000000000000000000000000004-400000000000000000000-2200000000000
χ7944-4-4-44-444-24-4-4-222-42-44-22-24-20000-222-222-20000000000000000000000000000000000000-44000000000000000000002-200000000000
χ8044-4-4-44-44-24-2224-4-42-42-24-44-2-20000-222-222-2000000000000000000000000000000000004-400000000-2-22200000000000000000000000
χ8144-4-4-44-44-24-2224-4-42-42-24-44-2-20000-222-222-200000000000000000000000000000000000-440000000022-2-200000000000000000000000
χ824-44-444-4-444-444-44-4-4-4-4444-4-440000-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ834-44-444-4-44-2-4442-22-42-44-2-22-4-200002-22-2-222000000000000000000000000000000000000000000000000000000000000023−23000000000
χ844-44-444-4-44-2-4442-22-42-44-2-22-4-200002-22-2-2220000000000000000000000000000000000000000000000000000000000000−2323000000000
χ854-44-444-4-4-242-2-2-44-42-42-244-42-200002-22-2-222000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ864-44-444-4-4-242-2-2-44-42-42-244-42-200002-22-2-2220000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ874-44-4-4-4444-2-44-42-224-2-4-422-24-24-4002-2222-2-244-4-400000-2200000000-2-2220000000000000000000000000000000000000000000000000
χ884-44-4-4-4444-2-44-42-224-2-4-422-24-2-44002-2222-2-2-4-444000002-20000000022-2-20000000000000000000000000000000000000000000000000
χ894-44-4-4-444-242-22-44-4-2422-4-44-2-24-4002-2222-2-2-2-222000004-400000000-2-2220000000000000000000000000000000000000000000000000
χ904-44-4-4-444-242-22-44-4-2422-4-44-2-2-44002-2222-2-222-2-200000-440000000022-2-20000000000000000000000000000000000000000000000000
χ914-44-4-4-444-2-22-222-22-2-22222-2-214-400-11-1-1-111-2-22200000-220000000011-1-13-3-33-333-300000000000000000000000000000000000000000
χ924-44-4-4-444-2-22-222-22-2-22222-2-214-400-11-1-1-111-2-22200000-220000000011-1-1-333-33-3-3300000000000000000000000000000000000000000
χ934-44-4-4-444-2-22-222-22-2-22222-2-21-4400-11-1-1-11122-2-2000002-200000000-1-1113-3-333-3-3300000000000000000000000000000000000000000
χ944-44-4-4-444-2-22-222-22-2-22222-2-21-4400-11-1-1-11122-2-2000002-200000000-1-111-333-3-333-300000000000000000000000000000000000000000
χ954-4-444-4-444-2-4-4422-2-424-42-2-24-2000022-22-22-20000000000000000000000000000000004-40000000000000000000000-220000000000000
χ964-4-444-4-444-2-4-4422-2-424-42-2-24-2000022-22-22-2000000000000000000000000000000000-4400000000000000000000002-20000000000000
χ974-4-444-4-44-2422-2-4-442-4-22-444-2-2000022-22-22-200004-44-4000000000000000000000000000000000-22-22000000000000000000000000000
χ984-4-444-4-44-2422-2-4-442-4-22-444-2-2000022-22-22-20000-44-440000000000000000000000000000000002-22-2000000000000000000000000000
χ994-4-44-444-44-2-4-4-422-24-244-222-4-2004i−4i22-2-22-2200000000000−2i2i004i−4i000000−2i−2i2i2i000000000000000000000000000000000000000000000
χ1004-4-44-444-44-2-4-4-422-24-244-222-4-200−4i4i22-2-22-22000000000002i−2i00−4i4i0000002i2i−2i−2i000000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-222222-2-2-2-2-2-22221004i−4i-1-111-11-1−2i32i3−2i32i30000000−2i2i00−2i2i23−23i3−i3i3−i3ii−i−i−3−33300000000000000000000000000000000000000000
χ1024-4-44-444-4-2-222222-2-2-2-2-2-22221004i−4i-1-111-11-12i3−2i32i3−2i30000000−2i2i00−2i2i−2323−i3i3−i3i3ii−i−i33−3−300000000000000000000000000000000000000000
χ1034-4-44-444-4-2-222222-2-2-2-2-2-2222100−4i4i-1-111-11-1−2i32i3−2i32i300000002i−2i002i−2i−2323i3−i3i3−i3−i−iii33−3−300000000000000000000000000000000000000000
χ1044-4-44-444-4-2-222222-2-2-2-2-2-2222100−4i4i-1-111-11-12i3−2i32i3−2i300000002i−2i002i−2i23−23−i3i3−i3i3−i−iii−3−33300000000000000000000000000000000000000000
χ1058888-8-8-8-8-4-4-4-44-4-4-444-44444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-444-444444-4-44-4-4200002-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-888-8-8-4-44-4-44-44444-4-4-44420000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-444-444-444-444-4-4-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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