Finite Group Databasebeta

← Group #11873312

Character table — Group #11873312

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order122233444444666666366612121212121212121212121212121212441212121212121212121212121212121212121212244444444468812121212121212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-111-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-11111111111-1-1-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-11-111-11-1-1-1111-1-111-1-1-1-1-111111-1-111-1-111-1-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1111-111-11-1-1-111-1-1-1111-1-111-1-111-1-111
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-1-11-1-11-1111-1-1111-1-1-111-1-1-1-111-1-111
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-1-11-1-11-1111-1-1-111-1-111111-1-1-1-1-11111-1-111-1-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-111111-111-11-1-11-11-11-111-1-1-1111-1-1-1-11111-1-1-1-111
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11111-111-1-1-1-111-1111-1-111-1-1-1-11111-1-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-1-11-1-11111-1-11-1-1-111-1-111-1-11111-1-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-11111-11-1-11-111-11-11-11-1-1111-1-1-11111-1-111-1-1-1-111
χ1722222222-2-2-2-22222222222-2-2-2-22222-2-22222-2-20000000000-2-2-2-2000000002-2002-2000020020000-200-200000000000000
χ1822222222-2-2-2-22222222222-2-2-2-22222-2-22222-2-20000000000-2-2-2-200000000-2200-220000-200-20000200200000000000000
χ19222222-2-222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000-2-222000000002200-2-20000200-20000200-200000000000000
χ20222222-2-222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000-2-22200000000-2-200220000-20020000-200200000000000000
χ2122222-12222222-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220022-100-10000-1-1-1-1-1-1000000000000
χ2222222-12222222-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-210010000111111000000000000
χ2322222-12222222-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-11111111122002200-2-2-100-10000-111-111000000000000
χ2422222-12222222-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-111111111-2-200-2-20022100100001-1-11-1-1000000000000
χ2522222-122-2-2-2-22-122-1-1-1-1-1-1-2-21122-1-111-1-1-1-1-2-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i32-2002-20000-100-100001−i3i31−i3i3000000000000
χ2622222-122-2-2-2-22-122-1-1-1-1-1-1-2-21122-1-111-1-1-1-1-2-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-2200-22000010010000-1i3−i3-1i3−i3000000000000
χ2722222-122-2-2-2-22-122-1-1-1-1-1-1-2-21122-1-111-1-1-1-1-2-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i32-2002-20000-100-100001i3−i31i3−i3000000000000
χ2822222-122-2-2-2-22-122-1-1-1-1-1-1-2-21122-1-111-1-1-1-1-2-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-2200-22000010010000-1−i3i3-1−i3i3000000000000
χ2922222-1-2-222-2-22-122-1-1-1-1-1-122-1-1-2-211111111-2-20000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i32200-2-20000-10010000-1i3−i31−i3i3000000000000
χ3022222-1-2-222-2-22-122-1-1-1-1-1-122-1-1-2-211111111-2-20000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2-200220000100-100001−i3i3-1i3−i3000000000000
χ3122222-1-2-222-2-22-122-1-1-1-1-1-122-1-1-2-211111111-2-20000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i32200-2-20000-10010000-1−i3i31i3−i3000000000000
χ3222222-1-2-222-2-22-122-1-1-1-1-1-122-1-1-2-211111111-2-20000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2-200220000100-100001i3−i3-1−i3i3000000000000
χ3322222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-211-1-11111222-222-1-1-2-211-1-111-1-1-1-111112-200-2200-22-10010000111-1-1-1000000000000
χ3422222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-211-1-11111222-222-1-1-2-211-1-111-1-1-1-11111-22002-2002-2100-10000-1-1-1111000000000000
χ3522222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-211-1-1111122-22-2-21122-1-1-1-1111111-1-1-1-12-200-22002-2-100100001-1-1-111000000000000
χ3622222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-211-1-1111122-22-2-21122-1-1-1-1111111-1-1-1-1-22002-200-22100-10000-1111-1-1000000000000
χ372222-12222222-12-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100220022000220-1-1-1-1000000-1-1-1-100000000
χ382222-12222222-12-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000-2-201111000000111100000000
χ392222-12222222-12-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-2-211-2-211-2-2-1-1-1-11111111100220022000-2-20-1-1-1-1000000111100000000
χ402222-12222222-12-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-2-211-2-211-2-2-1-1-1-11111111100-2-200-2-20002201111000000-1-1-1-100000000
χ412222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2221111-1-12-2-1-12211-2-2-1-111-1-1-1-11111002200-2-20002-20-1-111000000-1-11100000000
χ422222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2221111-1-12-2-1-12211-2-2-1-111-1-1-1-1111100-2-20022000-22011-1-100000011-1-100000000
χ432222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2221111-1-1-2211-2-2-1-122-1-1111111-1-1-1-1002200-2-2000-220-1-11100000011-1-100000000
χ442222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2221111-1-1-2211-2-2-1-122-1-1111111-1-1-1-100-2-200220002-2011-1-1000000-1-11100000000
χ452-2-22222i−2i2i−2i2-2-2-2-22-222-22-22i−2i2i−2i2i−2i2i−2i2-22i2i−2i−2i2-200000000002-22i−2i0000000000000000000000000000000000002i−2i2-20000
χ462-2-22222i−2i2i−2i2-2-2-2-22-222-22-22i−2i2i−2i2i−2i2i−2i2-22i2i−2i−2i2-200000000002-22i−2i000000000000000000000000000000000000−2i2i-220000
χ472-2-22222i−2i−2i2i-22-2-2-22-222-22-2−2i2i−2i2i2i−2i2i−2i-222i2i−2i−2i-220000000000-22−2i2i00000000002i−2i002-20000002i−2i2-2000000000000000000
χ482-2-22222i−2i−2i2i-22-2-2-22-222-22-2−2i2i−2i2i2i−2i2i−2i-222i2i−2i−2i-220000000000-22−2i2i0000000000−2i2i00-22000000−2i2i-22000000000000000000
χ492-2-2222−2i2i2i−2i-22-2-2-22-222-22-22i−2i2i−2i−2i2i−2i2i-22−2i−2i2i2i-220000000000-222i−2i00000000002i−2i00-220000002i−2i-22000000000000000000
χ502-2-2222−2i2i2i−2i-22-2-2-22-222-22-22i−2i2i−2i−2i2i−2i2i-22−2i−2i2i2i-220000000000-222i−2i0000000000−2i2i002-2000000−2i2i2-2000000000000000000
χ512-2-2222−2i2i−2i2i2-2-2-2-22-222-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i−2i2i2i2-200000000002-2−2i2i0000000000000000000000000000000000002i−2i-220000
χ522-2-2222−2i2i−2i2i2-2-2-2-22-222-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i−2i2i2i2-200000000002-2−2i2i000000000000000000000000000000000000−2i2i2-20000
χ532-2-22-122i−2i−2i2i-221-21-1-22-11-11i−i−2i2i−ii2i−2i-22−i−iii1-1003−300−i3i3001-1i−i3−33−3−i3i3−i3i3002i−2i002-2000000−ii-11000000−i3i33−300000000
χ542-2-22-122i−2i−2i2i-221-21-1-22-11-11i−i−2i2i−ii2i−2i-22−i−iii1-1003−300−i3i3001-1i−i3−33−3−i3i3−i3i300−2i2i00-22000000i−i1-1000000i3−i3−3300000000
χ552-2-22-122i−2i−2i2i-221-21-1-22-11-11i−i−2i2i−ii2i−2i-22−i−iii1-100−3300i3−i3001-1i−i−33−33i3−i3i3−i3002i−2i002-2000000−ii-11000000i3−i3−3300000000
χ562-2-22-122i−2i−2i2i-221-21-1-22-11-11i−i−2i2i−ii2i−2i-22−i−iii1-100−3300i3−i3001-1i−i−33−33i3−i3i3−i300−2i2i00-22000000i−i1-1000000−i3i33−300000000
χ572-2-22-12−2i2i2i−2i-221-21-1-22-11-11−ii2i−2ii−i−2i2i-22ii−i−i1-1003−300i3−i3001-1−ii3−33−3i3−i3i3−i3002i−2i00-22000000−ii1-1000000−i3i3−3300000000
χ582-2-22-12−2i2i2i−2i-221-21-1-22-11-11−ii2i−2ii−i−2i2i-22ii−i−i1-1003−300i3−i3001-1−ii3−33−3i3−i3i3−i300−2i2i002-2000000i−i-11000000i3−i33−300000000
χ592-2-22-12−2i2i2i−2i-221-21-1-22-11-11−ii2i−2ii−i−2i2i-22ii−i−i1-100−3300−i3i3001-1−ii−33−33−i3i3−i3i3002i−2i00-22000000−ii1-1000000i3−i33−300000000
χ602-2-22-12−2i2i2i−2i-221-21-1-22-11-11−ii2i−2ii−i−2i2i-22ii−i−i1-100−3300−i3i3001-1−ii−33−33−i3i3−i3i300−2i2i002-2000000i−i-11000000−i3i3−3300000000
χ614444-2444-4-4-4-4-24-2-244-2-2-2-222-4-4-2-244-4-4-2-2-2-2220000000000222200000000000000000000000000000000000000000000
χ624444-24-4-444-4-4-24-2-244-2-2-2-2-2-24422-4-4-4-4222222000000000022-2-200000000000000000000000000000000000000000000
χ634444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-21111-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ644444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-21111-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ654444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-2-2-2221111220000−2i32i300−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ664444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-2-2-22211112200002i3−2i3002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ674444-2-2-4-444-4-4-2-2-2-2-2-21111-2-2-2-2222222-1-1-1-1220000−2i32i3002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ684444-2-2-4-444-4-4-2-2-2-2-2-21111-2-2-2-2222222-1-1-1-12200002i3−2i300−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ694444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-1-1-1-1-2-24-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000
χ704444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-1-1-1-1-2-2-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ7144-4-444000000-4-44-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000022−22
χ7244-4-444000000-4-44-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000−2222
χ734-44-44400000044-4-4-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000022−2200
χ744-44-44400000044-4-4-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000000−222200
χ754-4-444-24i−4i4i−4i4-4-42-442-2-22-224i−4i−2i2i4i−4i−2i2i-22−2i−2i2i2i4-40000000000-22−2i2i00000000000000000000000000000000000000000000
χ764-4-444-24i−4i−4i4i-44-42-442-2-22-22−4i4i2i−2i4i−4i−2i2i2-2−2i−2i2i2i-4400000000002-22i−2i00000000000000000000000000000000000000000000
χ774-4-444-2−4i4i4i−4i-44-42-442-2-22-224i−4i−2i2i−4i4i2i−2i2-22i2i−2i−2i-4400000000002-2−2i2i00000000000000000000000000000000000000000000
χ784-4-444-2−4i4i−4i4i4-4-42-442-2-22-22−4i4i2i−2i−4i4i2i−2i-222i2i−2i−2i4-40000000000-222i−2i00000000000000000000000000000000000000000000
χ794-4-44-244i−4i4i−4i4-42-42-2-44-22-22−2i2i4i−4i−2i2i4i−4i4-4−2i−2i2i2i-220000000000-22−2i2i00000000000000000000000000000000000000000000
χ804-4-44-24−4i4i−4i4i4-42-42-2-44-22-222i−2i−4i4i2i−2i−4i4i4-42i2i−2i−2i-220000000000-222i−2i00000000000000000000000000000000000000000000
χ814-4-44-2-24i−4i4i−4i4-4222-22-21-11-1−2i2i−2i2i−2i2i−2i2i-22ii−i−i-2200000000001-1i−i3i−3i−3i3i3-3-33000000000000000000000000000000000000
χ824-4-44-2-24i−4i4i−4i4-4222-22-21-11-1−2i2i−2i2i−2i2i−2i2i-22ii−i−i-2200000000001-1i−i−3i3i3i−3i-333-3000000000000000000000000000000000000
χ834-4-44-2-24i−4i−4i4i-44222-22-21-11-12i−2i2i−2i−2i2i−2i2i2-2ii−i−i2-20023−2300−2i32i300-11−ii−33−33i3−i3i3−i3000000000000000000000000000000000000
χ844-4-44-2-24i−4i−4i4i-44222-22-21-11-12i−2i2i−2i−2i2i−2i2i2-2ii−i−i2-200−2323002i3−2i300-11−ii3−33−3−i3i3−i3i3000000000000000000000000000000000000
χ854-4-44-2-2−4i4i4i−4i-44222-22-21-11-1−2i2i−2i2i2i−2i2i−2i2-2−i−iii2-20023−23002i3−2i300-11i−i−33−33−i3i3−i3i3000000000000000000000000000000000000
χ864-4-44-2-2−4i4i4i−4i-44222-22-21-11-1−2i2i−2i2i2i−2i2i−2i2-2−i−iii2-200−232300−2i32i300-11i−i3−33−3i3−i3i3−i3000000000000000000000000000000000000
χ874-4-44-2-2−4i4i−4i4i4-4222-22-21-11-12i−2i2i−2i2i−2i2i−2i-22−i−iii-2200000000001-1−ii3i−3i−3i3i-333-3000000000000000000000000000000000000
χ884-4-44-2-2−4i4i−4i4i4-4222-22-21-11-12i−2i2i−2i2i−2i2i−2i-22−i−iii-2200000000001-1−ii−3i3i3i−3i3-3-33000000000000000000000000000000000000
χ8988-8-88-4000000-848-8-44-4-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-480000004-8-448-8-4-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400000044-44-4422-2-200000000006-66-6000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400000044-44-4422-2-20000000000-66-66000000000000000000000000000000000000000000000000000000000000
χ938-88-88-40000008-4-8-844-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-48000000-4844-8-8-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4000000-4-444442-2-2200000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4000000-4-444442-2-220000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000

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