Finite Group Databasebeta

← Group #11835998

Character table — Group #11835998

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222222336666666666666634466666661212121244121212121212121212121212121212121212121212122222224444446666121212124466661212121212121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1111-1-1-1-1-1-1-1-11111-1-1-11
χ611111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1111-1
χ711111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1
χ811111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111111111-1-111-1-1-11
χ91111111111111111111111111-1-11111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-11
χ101111111111111111111111111-1-11111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-11-1
χ111111111111111111111111111-1-11111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-1
χ121111111111111111111111111-1-11111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-11
χ131111111111111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-1-1-111
χ141111111111111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1111111-1-1
χ151111111111111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1
χ161111111111111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-111
χ17222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200222200-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
χ18222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2001111111100001111000000000000
χ19222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-2-2-1-1-1-11111111122-2-20022-2-200-1-1-1-1-1-1-1-100001111000000000000
χ20222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-2-2-1-1-1-111111111-2-22200-2-22200111111110000-1-1-1-1000000000000
χ21222222222-122-1-1-122-1-122-12-1-1-2-2-1-1-1-1-1-1-111112-2-2-222-1-111-2-21111-1-1-1-11111222200-2-2-2-200-1-1-1-111110000-1-111000000000000
χ22222222222-122-1-1-122-1-122-12-1-1-2-2-1-1-1-1-1-1-111112-2-2-222-1-111-2-21111-1-1-1-11111-2-2-2-2002222001111-1-1-1-1000011-1-1000000000000
χ23222222222-122-1-1-122-1-122-12-1-1-2-2-1-1-1-1-1-1-11111-22-2-2-2-211-1-12211111111-1-1-1-122-2-200-2-22200-1-1-1-11111000011-1-1000000000000
χ24222222222-122-1-1-122-1-122-12-1-1-2-2-1-1-1-1-1-1-11111-22-2-2-2-211-1-12211111111-1-1-1-1-2-2220022-2-2001111-1-1-1-10000-1-111000000000000
χ2522222222-12-1-1222-1-122-1-12-12-122-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220000220000000022-1-10000-1-1-1-1-1-1000000
χ2622222222-12-1-1222-1-122-1-12-12-122-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000-2-200000000-2-2110000111111000000
χ2722222222-12-1-1222-1-122-1-12-12-122-1-1-1-1-1-1-12222-2-2-1-111-2-2-2-211-1-1-1-1111111110000220000-2-200000000-22-1-100001111-1-1000000
χ2822222222-12-1-1222-1-122-1-12-12-122-1-1-1-1-1-1-12222-2-2-1-111-2-2-2-211-1-1-1-1111111110000-2-2000022000000002-2110000-1-1-1-111000000
χ2922222222-12-1-1222-1-122-1-12-12-1-2-2-1-1-1-1-1-1-1-2-2-2-22-211-1-122-2-2111111-1-1-1-1111100002200002200000000-2-2-1-10000-1-11111000000
χ3022222222-12-1-1222-1-122-1-12-12-1-2-2-1-1-1-1-1-1-1-2-2-2-22-211-1-122-2-2111111-1-1-1-111110000-2-20000-2-2000000002211000011-1-1-1-1000000
χ3122222222-12-1-1222-1-122-1-12-12-1-2-2-1-1-1-1-1-1-1-2-2-2-2-221111-2-222-1-111111111-1-1-1-10000220000-2-2000000002-2-1-1000011-1-111000000
χ3222222222-12-1-1222-1-122-1-12-12-1-2-2-1-1-1-1-1-1-1-2-2-2-2-221111-2-222-1-111111111-1-1-1-10000-2-200002200000000-22110000-1-111-1-1000000
χ332222-2-2-2-2222-222-22-22-22-2-2-2-222i−2i22-2-22-2-22i2i−2i−2i002i−2i000000002i2i−2i−2i00000000002-200002i−2i000000000000002-22i−2i000000000000
χ342222-2-2-2-2222-222-22-22-22-2-2-2-222i−2i22-2-22-2-22i2i−2i−2i002i−2i000000002i2i−2i−2i0000000000-220000−2i2i00000000000000-22−2i2i000000000000
χ352222-2-2-2-2222-222-22-22-22-2-2-2-22−2i2i22-2-22-2-2−2i−2i2i2i00−2i2i00000000−2i−2i2i2i00000000002-20000−2i2i000000000000002-2−2i2i000000000000
χ362222-2-2-2-2222-222-22-22-22-2-2-2-22−2i2i22-2-22-2-2−2i−2i2i2i00−2i2i00000000−2i−2i2i2i0000000000-2200002i−2i00000000000000-222i−2i000000000000
χ372222-2-2-2-22-12-2-1-112-2-112-21-21-12i−2i-1-111-111−i−iii002i−2i00−i3i33−300−i−iii−i3−i3i3i333−3−3002-200002i−2i00−i3−i3i3i333−3−30000-11−ii000000000000
χ382222-2-2-2-22-12-2-1-112-2-112-21-21-12i−2i-1-111-111−i−iii002i−2i00−i3i33−300−i−iii−i3−i3i3i333−3−300-220000−2i2i00i3i3−i3−i3−3−33300001-1i−i000000000000
χ392222-2-2-2-22-12-2-1-112-2-112-21-21-12i−2i-1-111-111−i−iii002i−2i00i3−i3−3300−i−iiii3i3−i3−i3−3−333002-200002i−2i00i3i3−i3−i3−3−3330000-11−ii000000000000
χ402222-2-2-2-22-12-2-1-112-2-112-21-21-12i−2i-1-111-111−i−iii002i−2i00i3−i3−3300−i−iiii3i3−i3−i3−3−33300-220000−2i2i00−i3−i3i3i333−3−300001-1i−i000000000000
χ412222-2-2-2-22-12-2-1-112-2-112-21-21-1−2i2i-1-111-111ii−i−i00−2i2i00−i3i3−3300ii−i−i−i3−i3i3i3−3−333002-20000−2i2i00−i3−i3i3i3−3−3330000-11i−i000000000000
χ422222-2-2-2-22-12-2-1-112-2-112-21-21-1−2i2i-1-111-111ii−i−i00−2i2i00−i3i3−3300ii−i−i−i3−i3i3i3−3−33300-2200002i−2i00i3i3−i3−i333−3−300001-1−ii000000000000
χ432222-2-2-2-22-12-2-1-112-2-112-21-21-1−2i2i-1-111-111ii−i−i00−2i2i00i3−i33−300ii−i−ii3i3−i3−i333−3−3002-20000−2i2i00i3i3−i3−i333−3−30000-11i−i000000000000
χ442222-2-2-2-22-12-2-1-112-2-112-21-21-1−2i2i-1-111-111ii−i−i00−2i2i00i3−i33−300ii−i−ii3i3−i3−i333−3−300-2200002i−2i00−i3−i3i3i3−3−33300001-1−ii000000000000
χ452-22-2-22-2222-2-2-2-2-22-222-2222-2200-2-22-222-200000000000000000000000000002-2000000002-22-22-20000000000002-20000002-200
χ462-22-2-22-2222-2-2-2-2-22-222-2222-2200-2-22-222-200000000000000000000000000002-200000000-222-22-2000000000000-22000000-2200
χ472-22-2-22-2222-2-2-2-2-22-222-2222-2200-2-22-222-20000000000000000000000000000-22000000002-2-22-220000000000002-2000000-2200
χ482-22-2-22-2222-2-2-2-2-22-222-2222-2200-2-22-222-20000000000000000000000000000-2200000000-22-22-22000000000000-220000002-200
χ492-2-222-2-2222-2-22-2-2-22-222-2-2222002-2-2-2-222000000000000000000000000000000002-22-2000000002-22-2002-200000000002-20000
χ502-2-222-2-2222-2-22-2-2-22-222-2-2222002-2-2-2-222000000000000000000000000000000002-2-2200000000-22-22002-20000000000-220000
χ512-2-222-2-2222-2-22-2-2-22-222-2-2222002-2-2-2-22200000000000000000000000000000000-222-2000000002-22-200-220000000000-220000
χ522-2-222-2-2222-2-22-2-2-22-222-2-2222002-2-2-2-22200000000000000000000000000000000-22-2200000000-22-2200-2200000000002-20000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-2-2-2-244-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-2-2-2-2-4-4-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4111111122224-422-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111112222-44222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ574444-4-4-4-4-24-2244-4-224-4-22-42-4-24i−4i-2-222-2224i4i−4i−4i00−2i2i00000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ584444-4-4-4-4-24-2244-4-224-4-22-42-4-2−4i4i-2-222-222−4i−4i4i4i002i−2i000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ594444-4-4-4-4-2-2-22-2-22-22-22-2222214i−4i11-1-11-1-1−2i−2i2i2i00−2i2i00−2i32i323−2300ii−i−ii3i3−i3−i3−3−3330000000000000000000000000000000000000000
χ604444-4-4-4-4-2-2-22-2-22-22-22-2222214i−4i11-1-11-1-1−2i−2i2i2i00−2i2i002i3−2i3−232300ii−i−i−i3−i3i3i333−3−30000000000000000000000000000000000000000
χ614444-4-4-4-4-2-2-22-2-22-22-22-222221−4i4i11-1-11-1-12i2i−2i−2i002i−2i00−2i32i3−232300−i−iiii3i3−i3−i333−3−30000000000000000000000000000000000000000
χ624444-4-4-4-4-2-2-22-2-22-22-22-222221−4i4i11-1-11-1-12i2i−2i−2i002i−2i002i3−2i323−2300−i−iii−i3−i3i3i3−3−3330000000000000000000000000000000000000000
χ6344-4-444-4-4444-4-44-4-44-4-4-444-44400-444-4-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ6444-4-444-4-44-24-42-22-4422-44-2-4-2-2002-2-2222-2−2i32i3−2i32i3000000000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ6544-4-444-4-44-24-42-22-4422-44-2-4-2-2002-2-2222-22i3−2i32i3−2i30000000000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ6644-4-444-4-4-24-22-44-42-2-4-42-2424-2002-2-2222-20000000000000023−230000000023−2323−230000000000000000000000000000000000000000
χ6744-4-444-4-4-24-22-44-42-2-4-42-2424-2002-2-2222-200000000000000−232300000000−2323−23230000000000000000000000000000000000000000
χ6844-4-444-4-4-2-2-222-222-2222-2-22-2100-111-1-1-11−2i32i3−2i32i3000000000023−23i3−i3i3−i33i−3i3i−3i−33−330000000000000000000000000000000000000000
χ6944-4-444-4-4-2-2-222-222-2222-2-22-2100-111-1-1-11−2i32i3−2i32i30000000000−2323i3−i3i3−i3−3i3i−3i3i3−33−30000000000000000000000000000000000000000
χ7044-4-444-4-4-2-2-222-222-2222-2-22-2100-111-1-1-112i3−2i32i3−2i3000000000023−23−i3i3−i3i3−3i3i−3i3i−33−330000000000000000000000000000000000000000
χ7144-4-444-4-4-2-2-222-222-2222-2-22-2100-111-1-1-112i3−2i32i3−2i30000000000−2323−i3i3−i3i33i−3i3i−3i3−33−30000000000000000000000000000000000000000
χ7244-4-4-4-4444444-444-4-4-44-4-4-44-4400-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000
χ7344-4-4-4-4444-2442-2-2-4-42-2-4-4242-2002-22-22-2223−23−232300000000000023−23−2323000000000000000000000000000000000000000000000000
χ7444-4-4-4-4444-2442-2-2-4-42-2-4-4242-2002-22-22-22−232323−23000000000000−232323−23000000000000000000000000000000000000000000000000
χ7544-4-4-4-444-24-2-2-44422-4422-4-2-4-2002-22-22-220000000023−23000000000023−23−232300000000000000000000000000000000000000000000
χ7644-4-4-4-444-24-2-2-44422-4422-4-2-4-2002-22-22-2200000000−23230000000000−232323−2300000000000000000000000000000000000000000000
χ7744-4-4-4-444-2-2-2-22-2-2222-2222-22100-11-11-11-123−23−2323000023−23000000−333−3−333−3-333-30000000000000000000000000000000000000000
χ7844-4-4-4-444-2-2-2-22-2-2222-2222-22100-11-11-11-123−23−23230000−2323000000−333−33−3−333-3-330000000000000000000000000000000000000000
χ7944-4-4-4-444-2-2-2-22-2-2222-2222-22100-11-11-11-1−232323−23000023−230000003−3−33−333−33-3-330000000000000000000000000000000000000000
χ8044-4-4-4-444-2-2-2-22-2-2222-2222-22100-11-11-11-1−232323−230000−23230000003−3−333−3−33-333-30000000000000000000000000000000000000000
χ814-44-44-44-444-44-4-44444-4-4-4-4-44400-4-4-444-4400000000000000000000000000000000000000000000000000000000000000000000
χ824-44-44-44-44-2-4422-244-22-4-42-4-2-200222-2-22-20000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ834-44-44-44-44-2-4422-244-22-4-42-4-2-200222-2-22-200000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ844-44-44-44-4-242-2-4-44-2-24-422-424-200222-2-22-2000000000000000000000000000000000000000000000000000000000023−2300000000
χ854-44-44-44-4-242-2-4-44-2-24-422-424-200222-2-22-20000000000000000000000000000000000000000000000000000000000−232300000000
χ864-44-4-44-444-2-4-42224-4-2-2-44-242-20022-22-2-2200000000000000000000000000004-40000000000-22-22000000000000000000000000
χ874-44-4-44-444-2-4-42224-4-2-2-44-242-20022-22-2-220000000000000000000000000000-4400000000002-22-2000000000000000000000000
χ884-44-4-44-44-2422-4-4-4-22442-24-2-4-20022-22-2-22000000000000000000000000000000000000004-40000000000000000-220000000000
χ894-44-4-44-44-2422-4-4-4-22442-24-2-4-20022-22-2-2200000000000000000000000000000000000000-4400000000000000002-20000000000
χ904-4-444-4-444-2-4-4-222-442-24-424-2-200-22222-2-200000000000000000000000000000000004-400000000-22-2200000000000000000000
χ914-4-444-4-444-2-4-4-222-442-24-424-2-200-22222-2-20000000000000000000000000000000000-44000000002-22-200000000000000000000
χ924-4-444-4-44-24224-4-42-2-44-22-4-24-200-22222-2-2000000000000000000000000000000004-40000000000000000-220000000000000000
χ934-4-444-4-44-24224-4-42-2-44-22-4-24-200-22222-2-200000000000000000000000000000000-4400000000000000002-20000000000000000
χ944-4-44-444-444-444-44-4-4-4-4444-4-44004-444-4-4-400000000000000000000000000000000000000000000000000000000000000000000
χ954-4-44-444-44-2-44-22-2-4-42244-2-42-200-22-2-22220000000000000000000000000000000000000000000023−23−232300000000000000000000
χ964-4-44-444-44-2-44-22-2-4-42244-2-42-200-22-2-222200000000000000000000000000000000000000000000−232323−2300000000000000000000
χ974-4-44-444-4-242-24-4422-4-4-2-242-4-200-22-2-222200000000000000000000000000000000000000000000000000000000000023−23000000
χ984-4-44-444-4-242-24-4422-4-4-2-242-4-200-22-2-2222000000000000000000000000000000000000000000000000000000000000−2323000000
χ998-88-88-88-8-4-44-444-4-4-4-444444-4200-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-88-4-444444-44-4-44-4-4-44200-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-88-4-444-4444-44-4-444-4-42002-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-888-8-4-44-4-44-44444-4-4-4442002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000

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