Finite Group Databasebeta

← Group #11872999

Character table — Group #11872999

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order1222334466666634444446661212121212121212121212121212121212121212121244441212121212121212121212121212121212222444666666881212121212121212121244824242424881212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-11
χ611111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-11111-1
χ711111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-11111-1-111111-1-1-1-111-1
χ811111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-11
χ9111111111111111-1-111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111-1-111-1-1111-1-11-1
χ10111111111111111-1-111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-111-1-111-1-1-111-11
χ11111111111111111-1-111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-11-1-111-1-1-1-11-11-11
χ12111111111111111-1-111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-111-1-11111-11-11-1
χ13111111111111111-1-1-1-111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-111-1-1-1-1-11-111-1-111-111-1-1
χ14111111111111111-1-1-1-111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1-11111-1-111-1-111-1-1-1-11-11-1-111-1-11-1-111
χ15111111111111111-1-1-1-111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-111111-1-1-1-111-1-111-1-11111-11-111-1-1-1-1-11-111
χ16111111111111111-1-1-1-111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111-1-111111-11-1-111111-11-1-1
χ17222222-2-222222222-2000022222-222-2-20000-2-200002222-222-2-200-200-2-2-2-200000000-200200-2-20000002222-2-2000000000000000000
χ18222222-2-222222222-2000022222-222-2-20000-2-200002222-2-2-22200-200-2-2-2-200000000200-20022000000-2-2-2-222000000000000000000
χ19222222-2-22222222-220000222-2-2-2-2-2-2-20000220000-2-2-2-2-222-2-200200-2-22200000000200-2002200000022-2-2-2-2000000000000000000
χ20222222-2-22222222-220000222-2-2-2-2-2-2-20000220000-2-2-2-2-2-2-22200200-2-22200000000-200200-2-2000000-2-22222000000000000000000
χ2122222-12222-1-1-12-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-12222-1-1-12-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111100111111111100000000000000
χ2322222-12222-1-1-12-122-2-2-2-2-1-1-1222-1-1-1-11111-1-11111-1-1-1-122222-2-22-2-2-1-1-1-1111111112-2-22-2-2-1-1111100-1-1-1-1-1-1111100000000000000
χ2422222-12222-1-1-12-122-2-2-2-2-1-1-1222-1-1-1-11111-1-11111-1-1-1-12-2-2-2-2-2-22-2-2-1-1-1-111111111-222-22211-1-1-1-100111111-1-1-1-100000000000000
χ2522222-12222-1-1-12-1-2-222-2-2-1-1-1-2-2211-1-1-1-1-1-111111111112222222-2-2-2-1-111-1-1-1-11111-2-2-2-22211111100-1-111-1-1-1-1-1-100000000000000
χ2622222-12222-1-1-12-1-2-222-2-2-1-1-1-2-2211-1-1-1-1-1-111111111112-2-2-2-222-2-2-2-1-111-1-1-1-111112222-2-2-1-1-1-1-1-10011-1-111111100000000000000
χ2722222-12222-1-1-12-1-2-2-2-222-1-1-1-2-2211-1-1111111-1-1-1-1111122222-2-2-222-1-1111111-1-1-1-1-222-2-2-211-1-1-1-100-1-111-1-1111100000000000000
χ2822222-12222-1-1-12-1-2-2-2-222-1-1-1-2-2211-1-1111111-1-1-1-111112-2-2-2-2-2-2-222-1-1111111-1-1-1-12-2-2222-1-111110011-1-111-1-1-1-100000000000000
χ2922222-1-2-222-1-1-12-12-20000-1-1-122-2-1-111−i3−i3i3i311−i3−i3i3i3-1-1-1-1-222-2-200-2001111−i3−i3i3i3−i3−i3i3i3-20020011−i3−i3i3i300-1-1-1-111−i3−i3i3i300000000000000
χ3022222-1-2-222-1-1-12-12-20000-1-1-122-2-1-111−i3−i3i3i311−i3−i3i3i3-1-1-1-1-2-2-22200-2001111−i3−i3i3i3−i3−i3i3i3200-200-1-1i3i3−i3−i3001111-1-1i3i3−i3−i300000000000000
χ3122222-1-2-222-1-1-12-12-20000-1-1-122-2-1-111i3i3−i3−i311i3i3−i3−i3-1-1-1-1-222-2-200-2001111i3i3−i3−i3i3i3−i3−i3-20020011i3i3−i3−i300-1-1-1-111i3i3−i3−i300000000000000
χ3222222-1-2-222-1-1-12-12-20000-1-1-122-2-1-111i3i3−i3−i311i3i3−i3−i3-1-1-1-1-2-2-22200-2001111i3i3−i3−i3i3i3−i3−i3200-200-1-1−i3−i3i3i3001111-1-1−i3−i3i3i300000000000000
χ3322222-1-2-222-1-1-12-1-220000-1-1-1-2-2-21111−i3−i3i3i3-1-1i3i3−i3−i31111-222-2-20020011-1-1−i3−i3i3i3i3i3−i3−i3200-200-1-1i3i3−i3−i300-1-11111−i3−i3i3i300000000000000
χ3422222-1-2-222-1-1-12-1-220000-1-1-1-2-2-21111−i3−i3i3i3-1-1i3i3−i3−i31111-2-2-2220020011-1-1−i3−i3i3i3i3i3−i3−i3-20020011−i3−i3i3i30011-1-1-1-1i3i3−i3−i300000000000000
χ3522222-1-2-222-1-1-12-1-220000-1-1-1-2-2-21111i3i3−i3−i3-1-1−i3−i3i3i31111-222-2-20020011-1-1i3i3−i3−i3−i3−i3i3i3200-200-1-1−i3−i3i3i300-1-11111i3i3−i3−i300000000000000
χ3622222-1-2-222-1-1-12-1-220000-1-1-1-2-2-21111i3i3−i3−i3-1-1−i3−i3i3i31111-2-2-2220020011-1-1i3i3−i3−i3−i3−i3i3i3-20020011i3i3−i3−i30011-1-1-1-1−i3−i3i3i300000000000000
χ372222-1222-1-1222-1-1222222-1-1-1-1-1-122222222222222-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000220000000000222-1-1-1-100-1-1000
χ382222-1222-1-1222-1-1222222-1-1-1-1-1-122222222222222-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-20000000000-2-2-211110011000
χ392222-1222-1-1222-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-222-2-2-2-2-1-1-1-1-1000011-111-1-1-1-111111111000000000000220000000000-2-22-1-1-1-10011000
χ402222-1222-1-1222-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-222-2-2-2-2-1-1-1-1-1000011-111-1-1-1-111111111000000000000-2-2000000000022-2111100-1-1000
χ412222-1222-1-1222-1-1-2-222-2-2-1-1-111-1-2-2222222-2-2-2-2-2-21111-10000-1-1111-1-111-1-1-1-111110000000000002200000000002-2-2-1-11100-11000
χ422222-1222-1-1222-1-1-2-222-2-2-1-1-111-1-2-2222222-2-2-2-2-2-21111-10000-1-1111-1-111-1-1-1-11111000000000000-2-20000000000-22211-1-1001-1000
χ432222-1222-1-1222-1-1-2-2-2-222-1-1-111-1-2-222-2-2-2-2-2-222221111-10000111-1-1-1-1111111-1-1-1-1000000000000220000000000-22-2-1-111001-1000
χ442222-1222-1-1222-1-1-2-2-2-222-1-1-111-1-2-222-2-2-2-2-2-222221111-10000111-1-1-1-1111111-1-1-1-1000000000000-2-200000000002-2211-1-100-11000
χ452-22-2222-2-22-22-2-2200002i−2i-22-200-2002-20000002i−2i2i−2i000022i−2i2i−2i0002i−2i2-20000002i−2i2i−2i02-2000002-22-2002i−2i002i−2i000000000000000000
χ462-22-2222-2-22-22-2-2200002i−2i-22-200-2002-20000002i−2i2i−2i00002−2i2i−2i2i0002i−2i2-20000002i−2i2i−2i0-2200000-22-2200−2i2i00−2i2i000000000000000000
χ472-22-2222-2-22-22-2-220000−2i2i-22-200-2002-2000000−2i2i−2i2i000022i−2i2i−2i000−2i2i2-2000000−2i2i−2i2i0-2200000-22-22002i−2i002i−2i000000000000000000
χ482-22-2222-2-22-22-2-220000−2i2i-22-200-2002-2000000−2i2i−2i2i00002−2i2i−2i2i000−2i2i2-2000000−2i2i−2i2i02-2000002-22-200−2i2i00−2i2i000000000000000000
χ492-22-222-22-22-22-2-22002-200-22-200200-222-22-20000000000-22i−2i−2i2i2-2000-22002-22-2000000002i−2i000000002i−2i00−2i2i2i−2i2i−2i00000000000000
χ502-22-222-22-22-22-2-22002-200-22-200200-222-22-20000000000-2−2i2i2i−2i2-2000-22002-22-200000000−2i2i00000000−2i2i002i−2i−2i2i−2i2i00000000000000
χ512-22-222-22-22-22-2-2200-2200-22-200200-22-22-220000000000-22i−2i−2i2i-22000-2200-22-2200000000−2i2i000000002i−2i00−2i2i−2i2i−2i2i00000000000000
χ522-22-222-22-22-22-2-2200-2200-22-200200-22-22-220000000000-2−2i2i2i−2i-22000-2200-22-22000000002i−2i00000000−2i2i002i−2i2i−2i2i−2i00000000000000
χ532-22-22-12-2-221-11-2-100002i−2i1-1100-23−3-11−i3i3i3−i33−3−ii−ii33−3−322i−2i2i−2i0002i−2i-113−3−i3i3i3−i3−ii−ii02-2000−i3i3-11-1100−ii−i3i3−ii3−3−3300000000000000
χ542-22-22-12-2-221-11-2-100002i−2i1-1100-23−3-11−i3i3i3−i33−3−ii−ii33−3−32−2i2i−2i2i0002i−2i-113−3−i3i3i3−i3−ii−ii0-22000i3−i31-11-100i−ii3−i3i−i−333−300000000000000
χ552-22-22-12-2-221-11-2-100002i−2i1-1100-2−33-11i3−i3−i3i3−33−ii−ii−3−33322i−2i2i−2i0002i−2i-11−33i3−i3−i3i3−ii−ii02-2000i3−i3-11-1100−iii3−i3−ii−333−300000000000000
χ562-22-22-12-2-221-11-2-100002i−2i1-1100-2−33-11i3−i3−i3i3−33−ii−ii−3−3332−2i2i−2i2i0002i−2i-11−33i3−i3−i3i3−ii−ii0-22000−i3i31-11-100i−i−i3i3i−i3−3−3300000000000000
χ572-22-22-12-2-221-11-2-10000−2i2i1-1100-23−3-11i3−i3−i3i33−3i−ii−i33−3−322i−2i2i−2i000−2i2i-113−3i3−i3−i3i3i−ii−i0-22000−i3i31-11-100−ii−i3i3−ii−333−300000000000000
χ582-22-22-12-2-221-11-2-10000−2i2i1-1100-23−3-11i3−i3−i3i33−3i−ii−i33−3−32−2i2i−2i2i000−2i2i-113−3i3−i3−i3i3i−ii−i02-2000i3−i3-11-1100i−ii3−i3i−i3−3−3300000000000000
χ592-22-22-12-2-221-11-2-10000−2i2i1-1100-2−33-11−i3i3i3−i3−33i−ii−i−3−33322i−2i2i−2i000−2i2i-11−33−i3i3i3−i3i−ii−i0-22000i3−i31-11-100−iii3−i3−ii3−3−3300000000000000
χ602-22-22-12-2-221-11-2-10000−2i2i1-1100-2−33-11−i3i3i3−i3−33i−ii−i−3−3332−2i2i−2i2i000−2i2i-11−33−i3i3i3−i3i−ii−i02-2000−i3i3-11-1100i−i−i3i3i−i−333−300000000000000
χ612-22-22-1-22-221-11-2-1002-2001-110023−31-1-11-11−333−3−3333−3−3-22i−2i−2i2i2-20001-1−33-11-113−3−3300002i−2ii3−i3−i3i3i3−i300−ii−i3i3i−i−ii−ii00000000000000
χ622-22-22-1-22-221-11-2-1002-2001-110023−31-1-11-11−333−3−3333−3−3-2−2i2i2i−2i2-20001-1−33-11-113−3−330000−2i2i−i3i3i3−i3−i3i300i−ii3−i3−iii−ii−i00000000000000
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χ642-22-22-1-22-221-11-2-1002-2001-11002−331-1-11-113−3−333−3−3−333-2−2i2i2i−2i2-20001-13−3-11-11−333−30000−2i2ii3−i3−i3i3i3−i300i−i−i3i3−iii−ii−i00000000000000
χ652-22-22-1-22-221-11-2-100-22001-110023−31-11-11-1−33−333−333−3−3-22i−2i−2i2i-220001-1−331-11-1−333−30000−2i2ii3−i3i3−i3−i3i300−ii−i3i3i−ii−ii−i00000000000000
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χ672-22-22-1-22-221-11-2-100-22001-11002−331-11-11-13−33−3−33−3−333-22i−2i−2i2i-220001-13−31-11-13−3−330000−2i2i−i3i3−i3i3i3−i300−iii3−i3i−ii−ii−i00000000000000
χ682-22-22-1-22-221-11-2-100-22001-11002−331-11-11-13−33−3−33−3−333-2−2i2i2i−2i-220001-13−31-11-13−3−3300002i−2ii3−i3i3−i3−i3i300i−i−i3i3−ii−ii−ii00000000000000
χ694444-24-4-4-2-2444-2-24-40000-2-2-2-2-2244-4-40000-4-40000-2-2-2-2200000020022220000000000000000000000000000000000000000000000
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χ734444-2-244-2-2-2-2-2-21-4-444-4-411122-222-2-2-2-2-2-2222222-1-1-1-1-20000-2-222211-1-11111-1-1-1-100000000000000000000000000000000000000
χ744444-2-244-2-2-2-2-2-21-4-4-4-44411122-222-2-2222222-2-2-2-2-1-1-1-1-20000222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000
χ754444-2-2-4-4-2-2-2-2-2-214-40000111-2-22-2-222−2i3−2i32i32i322−2i3−2i32i32i311112000000200-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000
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χ774444-2-2-4-4-2-2-2-2-2-21-4400001112222222−2i3−2i32i32i3-2-22i32i3−2i3−2i3-1-1-1-12000000-200-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000
χ784444-2-2-4-4-2-2-2-2-2-21-44000011122222222i32i3−2i3−2i3-2-2−2i3−2i32i32i3-1-1-1-12000000-200-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
χ7944-4-444004-44-4-4-440000004-4-4000000000000000000000000000000000000000000000000000000022−22000000000000022−22000000000
χ8044-4-444004-44-4-4-440000004-4-40000000000000000000000000000000000000000000000000000000−22220000000000000−2222000000000
χ8144-4-4-2400-224-4-42-2000000-222−2i32i3000000000000000−2i32i3−2i32i3000000000000000000000000000000000022−220000000000000−22i6−i60000000
χ8244-4-4-2400-224-4-42-2000000-222−2i32i3000000000000000−2i32i3−2i32i30000000000000000000000000000000000−222200000000000002−2−i6i60000000
χ8344-4-4-2400-224-4-42-2000000-2222i3−2i30000000000000002i3−2i32i3−2i3000000000000000000000000000000000022−220000000000000−22−i6i60000000
χ8444-4-4-2400-224-4-42-2000000-2222i3−2i30000000000000002i3−2i32i3−2i30000000000000000000000000000000000−222200000000000002−2i6−i60000000
χ854-44-4-244-42-2-44-42-200004i−4i2-22002004-40000004i−4i4i−4i0000-20000000−2i2i-22000000−2i2i−2i2i00000000000000000000000000000000000000
χ864-44-4-244-42-2-44-42-20000−4i4i2-22002004-4000000−4i4i−4i4i0000-200000002i−2i-220000002i−2i2i−2i00000000000000000000000000000000000000
χ874-44-4-24-442-2-44-42-2004-4002-2200-200-444-44-4000000000020000-220002-200-22-22000000000000000000000000000000000000000000
χ884-44-4-24-442-2-44-42-200-44002-2200-200-44-44-440000000000200002-20002-2002-22-2000000000000000000000000000000000000000000
χ894-44-4-2-24-42-22-222100004i−4i-11-100223−23-22−2i32i32i3−2i323−23−2i2i−2i2i−3−333-20000000−2i2i1-1−33i3−i3−i3i3i−ii−i00000000000000000000000000000000000000
χ904-44-4-2-24-42-22-222100004i−4i-11-1002−2323-222i3−2i3−2i32i3−2323−2i2i−2i2i33−3−3-20000000−2i2i1-13−3−i3i3i3−i3i−ii−i00000000000000000000000000000000000000
χ914-44-4-2-24-42-22-22210000−4i4i-11-100223−23-222i3−2i3−2i32i323−232i−2i2i−2i−3−333-200000002i−2i1-1−33−i3i3i3−i3−ii−ii00000000000000000000000000000000000000
χ924-44-4-2-24-42-22-22210000−4i4i-11-1002−2323-22−2i32i32i3−2i3−23232i−2i2i−2i33−3−3-200000002i−2i1-13−3i3−i3−i3i3−ii−ii00000000000000000000000000000000000000
χ934-44-4-2-2-442-22-2221004-400-11-100-223−232-2-22-22−232323−23−2323−3−33320000-22000-113−31-11-1−333−300000000000000000000000000000000000000
χ944-44-4-2-2-442-22-2221004-400-11-100-2−23232-2-22-2223−23−232323−2333−3−320000-22000-11−331-11-13−3−3300000000000000000000000000000000000000
χ954-44-4-2-2-442-22-222100-4400-11-100-223−232-22-22-2−2323−232323−23−3−333200002-2000-113−3-11-113−3−3300000000000000000000000000000000000000
χ964-44-4-2-2-442-22-222100-4400-11-100-2−23232-22-22-223−2323−23−232333−3−3200002-2000-11−33-11-11−333−300000000000000000000000000000000000000
χ974-4-444400-4-4-4-4444000000-4-440000000000000000000000000000000000000000000000000000000000000000000000000022−2200000
χ984-4-444400-4-4-4-4444000000-4-4400000000000000000000000000000000000000000000000000000000000000000000000000−222200000
χ9988-8-88-4008-8-444-8-4000000-444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-400-44-444420000002-2-2−4i34i30000000000000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-400-44-444420000002-2-24i3−4i3000000000000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-400-8-844-48-400000044-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-480044-8-88-4-400000044-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4004444-4-42000000-2-22000000000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4004444-4-42000000-2-2200000000000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000

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