Finite Group Databasebeta

← Group #11812928

Character table — Group #11812928

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666662234466666661212121222224666666661212121212121212121212121212444444444466661212121244444412121212121212121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-1-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-11
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11
χ15111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11
χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ17222222222-122-1-1-122-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-122-1-1-122-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-2-2-20000111111110000-2011110000000000000
χ19222222222-122-1-1-122-122-1-1-1222-1-2-2-1-1-1-1-1-1-111112222-222-1-1-1-1-1-1-2-2-2-2111111111100-2-2220000-1-1-1-111110000-20-1-1110000000000000
χ20222222222-122-1-1-122-122-1-1-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-1-1-1-1-2-2-2-211111111110022-2-200001111-1-1-1-100002011-1-10000000000000
χ21222222222-122-1-1-122-122-1-1-12-2-2-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-211111122-2-211-1-1-1-111110022-2-20000-1-1-1-1-1-1-1-10000-2011110000000000000
χ22222222222-122-1-1-122-122-1-1-12-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111122-2-211-1-1-1-1111100-2-222000011111111000020-1-1-1-10000000000000
χ23222222222-122-1-1-122-122-1-1-12-2-2-1-2-2-1-1-1-1-1-1-1111122222-2-2111111-2-222-1-11111-1-1-1-100-2-2-2-20000-1-1-1-1111100002011-1-10000000000000
χ24222222222-122-1-1-122-122-1-1-12-2-2-1-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2111111-2-222-1-11111-1-1-1-100222200001111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-1222-1-12-1-1222-122-122-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200002222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1222-1-12-1-1222-122-122-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-1222-1-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-11111-2-21111111122000022-2-20000000000000-20000-1-111-1-11100000
χ2822222222-12-1-1222-1-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-11111-2-211111111-2-20000-2-22200000000000002000011-1-111-1-100000
χ2922222222-12-1-1222-1-12-1-1222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-21111-1-111-2-2-1-1-1-11111220000-2-2-2-2000000000000020000-1-1-1-1111100000
χ3022222222-12-1-1222-1-12-1-1222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-21111-1-111-2-2-1-1-1-11111-2-2000022220000000000000-200001111-1-1-1-100000
χ3122222222-12-1-1222-1-12-1-1222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2111111-1-1221111-1-1-1-1220000-2-2220000000000000-20000-1-11111-1-100000
χ3222222222-12-1-1222-1-12-1-1222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2111111-1-1221111-1-1-1-1-2-2000022-2-200000000000002000011-1-1-1-11100000
χ3322-2-2-222-2222-22-2-22-2-22-22-22-20020022-2-2-22-2000022-2-2000000000000000000000000000002i−2i0022-2-200002i2i−2i−2i00000000002i−2i0000000
χ3422-2-2-222-2222-22-2-22-2-22-22-22-20020022-2-2-22-2000022-2-200000000000000000000000000000−2i2i0022-2-20000−2i−2i2i2i0000000000−2i2i0000000
χ3522-2-2-222-2222-22-2-22-2-22-22-22-20020022-2-2-22-20000-2-222000000000000000000000000000002i−2i00-2-2220000−2i−2i2i2i00000000002i−2i0000000
χ3622-2-2-222-2222-22-2-22-2-22-22-22-20020022-2-2-22-20000-2-22200000000000000000000000000000−2i2i00-2-22200002i2i−2i−2i0000000000−2i2i0000000
χ372-222-2-22-222-22-2-2-2-2222-222-2-2002002-22-2-2-2200002-22-2000000000000000000000002i−2i000000002-22-2000000000000002i−2i0000002i−2i000
χ382-222-2-22-222-22-2-2-2-2222-222-2-2002002-22-2-2-2200002-22-200000000000000000000000−2i2i000000002-22-200000000000000−2i2i000000−2i2i000
χ392-222-2-22-222-22-2-2-2-2222-222-2-2002002-22-2-2-220000-22-22000000000000000000000002i−2i00000000-22-22000000000000002i−2i000000−2i2i000
χ402-222-2-22-222-22-2-2-2-2222-222-2-2002002-22-2-2-220000-22-2200000000000000000000000−2i2i00000000-22-2200000000000000−2i2i0000002i−2i000
χ412-22-2-22-2222-2-2-22-2222-2-2-2-2220022-2-2-2-22-22222-2-200000000000002-2000022-2-200000000000000000000002-22-200000000000000002-20
χ422-22-2-22-2222-2-2-22-2222-2-2-2-2220022-2-2-2-22-22222-2-200000000000002-2000022-2-20000000000000000000000-22-220000000000000000-220
χ432-22-2-22-2222-2-2-22-2222-2-2-2-222002-22-2-2-22-222-2-2220000000000000-220000-2-22200000000000000000000002-22-20000000000000000-220
χ442-22-2-22-2222-2-2-22-2222-2-2-2-222002-22-2-2-22-222-2-2220000000000000-220000-2-2220000000000000000000000-22-2200000000000000002-20
χ452-2-2222-2-222-22-2-222-2-2-22-222-200200-2-22-222-20000000000000000000000000000000002-200002i−2i000022-2-22i−2i−2i2i0000000000002i−2i00000
χ462-2-2222-2-222-22-2-222-2-2-22-222-200200-2-22-222-20000000000000000000000000000000002-20000−2i2i000022-2-2−2i2i2i−2i000000000000−2i2i00000
χ472-2-2222-2-222-22-2-222-2-2-22-222-200200-2-22-222-2000000000000000000000000000000000-2200002i−2i0000-2-222−2i2i2i−2i0000000000002i−2i00000
χ482-2-2222-2-222-22-2-222-2-2-22-222-200200-2-22-222-2000000000000000000000000000000000-220000−2i2i0000-2-2222i−2i−2i2i000000000000−2i2i00000
χ492-2-2-22-22222-2-2-222-2-2-2222-2-222-22002-2-222-2-200002-2-2202-22-222-2-20000000000000000002-200002-2-2200000000002-2000000000000000
χ502-2-2-22-22222-2-2-222-2-2-2222-2-222-22002-2-222-2-20000-222-202-22-222-2-2000000000000000000-220000-222-20000000000-22000000000000000
χ512-2-2-22-22222-2-2-222-2-2-2222-2-22-222002-2-222-2-200002-2-220-22-22-2-222000000000000000000-2200002-2-220000000000-22000000000000000
χ522-2-2-22-22222-2-2-222-2-2-2222-2-22-222002-2-222-2-20000-222-20-22-22-2-2220000000000000000002-20000-222-200000000002-2000000000000000
χ532-2-2-22-2222-1-2-21-1-1-2-2122-11122-2-100-111-1-1113−33−32-2-2202-2-11-1-11100003−33−33−333−3−300002-20000-111-13−33−3000000-113−30000000000000
χ542-2-2-22-2222-1-2-21-1-1-2-2122-11122-2-100-111-1-1113−33−3-222-202-2-11-1-11100003−33−33−333−3−30000-2200001-1-11−33−330000001-1−330000000000000
χ552-2-2-22-2222-1-2-21-1-1-2-2122-11122-2-100-111-1-111−33−332-2-2202-2-11-1-1110000−33−33−33−3−33300002-20000-111-1−33−33000000-11−330000000000000
χ562-2-2-22-2222-1-2-21-1-1-2-2122-11122-2-100-111-1-111−33−33-222-202-2-11-1-1110000−33−33−33−3−3330000-2200001-1-113−33−30000001-13−30000000000000
χ572-2-2-22-2222-1-2-21-1-1-2-2122-1112-22-100-111-1-1113−33−32-2-220-221-111-1-10000−333−33−3−3−3330000-220000-111-13−33−30000001-1−330000000000000
χ582-2-2-22-2222-1-2-21-1-1-2-2122-1112-22-100-111-1-1113−33−3-222-20-221-111-1-10000−333−33−3−3−33300002-200001-1-11−33−33000000-113−30000000000000
χ592-2-2-22-2222-1-2-21-1-1-2-2122-1112-22-100-111-1-111−33−332-2-220-221-111-1-100003−3−33−3333−3−30000-220000-111-1−33−330000001-13−30000000000000
χ602-2-2-22-2222-1-2-21-1-1-2-2122-1112-22-100-111-1-111−33−33-222-20-221-111-1-100003−3−33−3333−3−300002-200001-1-113−33−3000000-11−330000000000000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441441111111-2-2-2-200004-2-2-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4111111122220000-4-2-2-2-21111222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41441111111-2-2-2-20000-42222-1-1-1-1-2-222221111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-411111112222000042222-1-1-1-122-2-2-2-2-1-1-1-1111100000000000000000000000000000000000000000
χ65444-44-4-4-4444-44-44-444-44-4-4-4-400400-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ66444-44-4-4-44-24-4-22-2-44-2-44222-400-2002-222-22-200000000000000000000000000000000000000000000023−23−232300000000000000000000000
χ67444-44-4-4-44-24-4-22-2-44-2-44222-400-2002-222-22-2000000000000000000000000000000000000000000000−232323−2300000000000000000000000
χ68444-44-4-4-4-24-224-442-242-2-4-4-4200-2002-222-22-2000000000000000000000000000000000000000000000000000000000000023−23000000000
χ69444-44-4-4-4-24-224-442-242-2-4-4-4200-2002-222-22-20000000000000000000000000000000000000000000000000000000000000−2323000000000
χ7044-44-4-4-44444444-4-4-4-4-4-4-44-4400400-4444-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ7144-44-4-4-444-244-2-22-4-42-4-42-22400-2002-2-2-222223−23−2323000000000000000000023−23−2323000000000000000000000000000000000000000000000
χ7244-44-4-4-444-244-2-22-4-42-4-42-22400-2002-2-2-2222−232323−230000000000000000000−232323−23000000000000000000000000000000000000000000000
χ7344-44-4-4-44-24-2-244-422-422-44-4-200-2002-2-2-2222000000000000000000023−2300000023−2323−2300000000000000000000000000000000000000000
χ7444-44-4-4-44-24-2-244-422-422-44-4-200-2002-2-2-22220000000000000000000−2323000000−2323−232300000000000000000000000000000000000000000
χ7544-44-4-4-44-2-2-2-2-2-22222222-22-200100-1111-1-1-123−23−23230000000003-33-30023−2300−333−3−33−3300000000000000000000000000000000000000000
χ7644-44-4-4-44-2-2-2-2-2-22222222-22-200100-1111-1-1-123−23−2323000000000-33-3300−232300−333−33−33−300000000000000000000000000000000000000000
χ7744-44-4-4-44-2-2-2-2-2-22222222-22-200100-1111-1-1-1−232323−230000000003-33-300−2323003−3−333−33−300000000000000000000000000000000000000000
χ7844-44-4-4-44-2-2-2-2-2-22222222-22-200100-1111-1-1-1−232323−23000000000-33-330023−23003−3−33−33−3300000000000000000000000000000000000000000
χ7944-4-4-444-44-24-4-2224-424-4-22-2-400-200-2-2222-22000044-4-4000000000000000000000000000000000-2-222000000000000000000000000000
χ8044-4-4-444-44-24-4-2224-424-4-22-2-400-200-2-2222-220000-4-44400000000000000000000000000000000022-2-2000000000000000000000000000
χ8144-4-4-444-4-24-224-4-4-22-4-224-44200-200-2-2222-2200000000000000000000000000000000000004i−4i000000000000000000000000−2i2i0000000
χ8244-4-4-444-4-24-224-4-4-22-4-224-44200-200-2-2222-220000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i0000000
χ834-444-4-44-44-2-44222-44-24-4-2-22-400-200-22-2222-200004-44-4000000000000000000000000000000000-22-22000000000000000000000000000
χ844-444-4-44-44-2-44222-44-24-4-2-22-400-200-22-2222-20000-44-440000000000000000000000000000000002-22-2000000000000000000000000000
χ854-444-4-44-4-242-2-4-4-42-24-2244-4200-200-22-2222-200000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000000
χ864-444-4-44-4-242-2-4-4-42-24-2244-4200-200-22-2222-20000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000000
χ874-44-4-44-444-2-4-42-2244-2-4-422-2400-24-4222-22-2-2-2-22200000000000004-40000-2-222000000000000000000000000000000000000000000000
χ884-44-4-44-444-2-4-42-2244-2-4-422-2400-2-44222-22-2-222-2-20000000000000-44000022-2-2000000000000000000000000000000000000000000000
χ894-44-4-44-44-2422-44-4-2-2422-4-44-200-24-4222-22-2-244-4-40000000000000-220000-2-222000000000000000000000000000000000000000000000
χ904-44-4-44-44-2422-44-4-2-2422-4-44-200-2-44222-22-2-2-4-44400000000000002-2000022-2-2000000000000000000000000000000000000000000000
χ914-44-4-44-44-2-2222-22-2-2-22222-2-20014-4-1-1-11-111-2-2220000000003-3-33-22000011-1-1-333-300000000000000000000000000000000000000000
χ924-44-4-44-44-2-2222-22-2-2-22222-2-20014-4-1-1-11-111-2-222000000000-333-3-22000011-1-13-3-3300000000000000000000000000000000000000000
χ934-44-4-44-44-2-2222-22-2-2-22222-2-2001-44-1-1-11-11122-2-20000000003-3-332-20000-1-1113-3-3300000000000000000000000000000000000000000
χ944-44-4-44-44-2-2222-22-2-2-22222-2-2001-44-1-1-11-11122-2-2000000000-333-32-20000-1-111-333-300000000000000000000000000000000000000000
χ954-4-4444-4-44-2-4422-24-42-442-2-2-400-20022-22-2-220000000000000000000000000000000004-40000000000-2-22200000000000000000000000
χ964-4-4444-4-44-2-4422-24-42-442-2-2-400-20022-22-2-22000000000000000000000000000000000-44000000000022-2-200000000000000000000000
χ974-4-4444-4-4-242-2-4-44-22-42-2-444200-20022-22-2-220000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000
χ984-4-4444-4-4-242-2-4-44-22-42-2-444200-20022-22-2-22000000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000
χ994-4-4-44-444-2422-44422-4-2-24-4-4-24-4-200-222-2-222000000000-224-4-2-2220000000000000000000000000000000000000000000000000000000
χ1004-4-4-44-444-2422-44422-4-2-24-4-4-2-44-200-222-2-2220000000002-2-4422-2-20000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-444-2-2222-2-2222-2-2-222-24-41001-1-111-1-123−2323−2300000-22-2211-1-1000023−23−33−33−3−33300000000000000000000000000000000000000000
χ1024-4-4-44-444-2-2222-2-2222-2-2-222-24-41001-1-111-1-1−2323−232300000-22-2211-1-10000−23233−33−333−3−300000000000000000000000000000000000000000
χ1034-4-4-44-444-2-2222-2-2222-2-2-222-2-441001-1-111-1-123−2323−23000002-22-2-1-1110000−2323−33−3333−3−300000000000000000000000000000000000000000
χ1044-4-4-44-444-2-2222-2-2222-2-2-222-2-441001-1-111-1-1−2323−2323000002-22-2-1-111000023−233−33−3−3−33300000000000000000000000000000000000000000
χ105888-88-8-8-8-4-4-44-44-44-4-44-4444400200-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-44-444-444-44-44-440020022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-44-44444-4-4-44-4-444002002-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8888-8-8-4-44-444-4-4444-44-4-4400200-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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