Finite Group Databasebeta

← Group #11887641

Character table — Group #11887641

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order122233444466666612121212344466612121212121212121212121212121212222288884121212121212121212121212121212121212124444666688242424242424242444412121212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-11111111111-1-1-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111-1-11111111111-1-1-1-11111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1
χ9111111-1-111111111-1-1-1-1111-1111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1-111-1-11-111-1-111-1-11-1
χ10111111-1-111111111-1-1-1-1111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1-111-1-111-1-1-1-111111-11-1-1111-111-1-1-1-111-11
χ11111111-1-111111111-1-1-1-1111-1111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-1-1-11-111-1-1-11-1-111-1-111-11
χ12111111-1-111111111-1-1-1-1111-1111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1-111-11-1-11111-1-11-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-11111-1-1-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-1-111-1-1111-1-1-11111-1-1-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-111111-11111-1-111-1-1-1-11111-11-111-1-11-1-1-111-1-1111-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111-111-1-11111-1-1-1-1-1-11111-11-1-1-1-111-1-11111-1-1-1-11-11-1-111-1111-1-1-1-1111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-111-1-11111-1-1-1-1-1-11111-1111-1-11111-1-1-1-111111-1-111-1-1-1111-1-111-1-1-11
χ1722222222-2-22222222222200-222222-2-2-2-200002222-2-2222200000-2000000-2-2-2-200000000-2-200222200000000000000000-2-20000000000
χ1822222222-2-22222222222200-222222-2-2-2-200002222-2-2-2-2-2-200000-2000000-2-2-2-2000000002200-2-2-2-200000000000000000220000000000
χ19222222-2-2-2-2222222-2-2-2-22002222-2-222-2-20000-2-2-2-2-2-222-2-2000002000000-2-22200000000-220022-2-200000000000000000-220000000000
χ20222222-2-2-2-2222222-2-2-2-22002222-2-222-2-20000-2-2-2-2-2-2-2-222000002000000-2-222000000002-200-2-222000000000000000002-20000000000
χ2122222-122222-1-122-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222200002-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-100000000002200000-1-1-1-1-1-1000000
χ2222222-122222-1-122-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-2-2-2-200002-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20011110000000000-2-200000111111000000
χ2322222-122222-1-122-12222-1-2-22-1-1-1-1-122-1-11111-1-1-1-12222220000-2-111-2-2-2-2-1-1-1-1111111112200-1-1-1-10000000000-2-200000-1-11111000000
χ2422222-122222-1-122-12222-1-2-22-1-1-1-1-122-1-11111-1-1-1-122-2-2-2-20000-2-111-2-2-2-2-1-1-1-111111111-2-20011110000000000220000011-1-1-1-1000000
χ2522222-122-2-22-1-122-12222-100-2-1-1-1-1-1-2-211−i3−i3i3i3-1-1-1-1-2-22222000001−i3i300001111−i3−i3i3i3−i3−i3i3i3-2-200-1-1-1-10000000000000000011−i3i3−i3i3000000
χ2622222-122-2-22-1-122-12222-100-2-1-1-1-1-1-2-211−i3−i3i3i3-1-1-1-1-2-2-2-2-2-2000001−i3i300001111−i3−i3i3i3−i3−i3i3i32200111100000000000000000-1-1i3−i3i3−i3000000
χ2722222-122-2-22-1-122-12222-100-2-1-1-1-1-1-2-211i3i3−i3−i3-1-1-1-1-2-22222000001i3−i300001111i3i3−i3−i3i3i3−i3−i3-2-200-1-1-1-10000000000000000011i3−i3i3−i3000000
χ2822222-122-2-22-1-122-12222-100-2-1-1-1-1-1-2-211i3i3−i3−i3-1-1-1-1-2-2-2-2-2-2000001i3−i300001111i3i3−i3−i3i3i3−i3−i32200111100000000000000000-1-1−i3i3−i3i3000000
χ2922222-1-2-2222-1-122-1-2-2-2-2-122-2-1-1-111-2-2-1-1-1-1-1-111112222-2-20000-211122-2-2-1-111-1-1-1-111112-200-1-11100000000002-200000-11-1-111000000
χ3022222-1-2-2222-1-122-1-2-2-2-2-122-2-1-1-111-2-2-1-1-1-1-1-1111122-2-2220000-211122-2-2-1-111-1-1-1-11111-220011-1-10000000000-22000001-111-1-1000000
χ3122222-1-2-2222-1-122-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1-1111111112222-2-2000021-1-1-2-222-1-1111111-1-1-1-12-200-1-1110000000000-2200000-1111-1-1000000
χ3222222-1-2-2222-1-122-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1-11111111122-2-222000021-1-1-2-222-1-1111111-1-1-1-1-220011-1-100000000002-2000001-1-1-111000000
χ3322222-1-2-2-2-22-1-122-1-2-2-2-2-1002-1-1-1112211−i3−i3i3i31111-2-222-2-200000-1i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i3-2200-1-111000000000000000001-1−i3i3i3−i3000000
χ3422222-1-2-2-2-22-1-122-1-2-2-2-2-1002-1-1-1112211−i3−i3i3i31111-2-2-2-22200000-1i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i32-20011-1-100000000000000000-11i3−i3−i3i3000000
χ3522222-1-2-2-2-22-1-122-1-2-2-2-2-1002-1-1-1112211i3i3−i3−i31111-2-222-2-200000-1−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i3-2200-1-111000000000000000001-1i3−i3−i3i3000000
χ3622222-1-2-2-2-22-1-122-1-2-2-2-2-1002-1-1-1112211i3i3−i3−i31111-2-2-2-22200000-1−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i32-20011-1-100000000000000000-11−i3i3i3−i3000000
χ372222-122222-122-1-12-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000022-1-1-1-1-1-1-1-1002-1-1-1-1000000000000
χ382222-122222-122-1-12-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-10000-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-21111111100-21111000000000000
χ392222-122222-122-1-12-1-1-1-1-1-2-22-1-1-122-1-122-2-2-2-2-1-1-1-1-1-100002222-22-2-21111-1-1-1-11111111100-2-2000022-1-1-1-1-1-1-1-100-21111000000000000
χ402222-122222-122-1-12-1-1-1-1-1-2-22-1-1-122-1-122-2-2-2-2-1-1-1-1-1-10000-2-2-2-2-22-2-21111-1-1-1-11111111100220000-2-211111111002-1-1-1-1000000000000
χ412222-12-2-222-122-1-121111-122-2-1-1-1-2-2112222221111-1-100002222-2-2-2-2-1-111-1-111-1-1-1-1111100220000-2-2-1-1-1-1111100-2-1-111000000000000
χ422222-12-2-222-122-1-121111-122-2-1-1-1-2-2112222221111-1-10000-2-2-2-2-2-2-2-2-1-111-1-111-1-1-1-1111100-2-20000221111-1-1-1-100211-1-1000000000000
χ432222-12-2-222-122-1-121111-1-2-2-2-1-1-1-2-21122-2-2-2-21111-1-1000022222-22211-1-1-1-1111111-1-1-1-100-2-20000-2-2-1-1-1-1111100211-1-1000000000000
χ442222-12-2-222-122-1-121111-1-2-2-2-1-1-1-2-21122-2-2-2-21111-1-10000-2-2-2-22-22211-1-1-1-1111111-1-1-1-100220000221111-1-1-1-100-2-1-111000000000000
χ4522-2-2222-20022-2-2-2-222-2-220002-2-22-20000000022-2-2002-22-222−2−20000000000000000000000002-22-22−222−2−222−2−200000000000002−22−200
χ4622-2-2222-20022-2-2-2-222-2-220002-2-22-20000000022-2-2002-22-2−2−2220000000000000000000000002-22-2−22−2−222−2−2220000000000000−22−2200
χ4722-2-2222-20022-2-2-2-222-2-220002-2-22-20000000022-2-200-22-2222−2−2000000000000000000000000-22-222−222−2−222−2−20000000000000−22−2200
χ4822-2-2222-20022-2-2-2-222-2-220002-2-22-20000000022-2-200-22-22−2−222000000000000000000000000-22-22−22−2−222−2−22200000000000002−22−200
χ4922-2-222-220022-2-2-2-2-2-22220002-2-2-2200000000-2-222002-2-2222−2−20000000000000000000000002-2-22−2222−2−2−2−22200000000000002−2−2200
χ5022-2-222-220022-2-2-2-2-2-22220002-2-2-2200000000-2-222002-2-22−2−2220000000000000000000000002-2-222−2−2−22222−2−20000000000000−222−200
χ5122-2-222-220022-2-2-2-2-2-22220002-2-2-2200000000-2-22200-222-222−2−2000000000000000000000000-222-2−2222−2−2−2−2220000000000000−222−200
χ5222-2-222-220022-2-2-2-2-2-22220002-2-2-2200000000-2-22200-222-2−2−222000000000000000000000000-222-22−2−2−22222−2−200000000000002−2−2200
χ532-22-222002-2-2-2-22-22000022-20-22-200002-22-22-200002-200002i−2i2i−2i00002-2002-2002-22-20000002i−2i0000002i−2i2i−2i00000002i−2i00000000000000
χ542-22-222002-2-2-2-22-22000022-20-22-200002-22-22-200002-20000−2i2i−2i2i00002-2002-2002-22-2000000−2i2i000000−2i2i−2i2i0000000−2i2i00000000000000
χ552-22-222002-2-2-2-22-2200002-220-22-200002-2-22-2200002-200002i−2i2i−2i0000-22002-200-22-22000000−2i2i0000002i−2i2i−2i0000000−2i2i00000000000000
χ562-22-222002-2-2-2-22-2200002-220-22-200002-2-22-2200002-20000−2i2i−2i2i0000-22002-200-22-220000002i−2i000000−2i2i−2i2i00000002i−2i00000000000000
χ572-22-2-12002-21-2-2-1123−33−3-12-201-11003−32-22-22-23−33−3-1100002i−2i2i−2i0000-113−3-113−3-11-113−33−3002i−2i000000−ii−ii−i3i3−i3i3000−ii−i3i3000000000000
χ582-22-2-12002-21-2-2-1123−33−3-12-201-11003−32-22-22-23−33−3-110000−2i2i−2i2i0000-113−3-113−3-11-113−33−300−2i2i000000i−ii−ii3−i3i3−i3000i−ii3−i3000000000000
χ592-22-2-12002-21-2-2-1123−33−3-1-2201-11003−32-2-22-223−33−3-1100002i−2i2i−2i00001-1−33-113−31-11-1−33−3300−2i2i000000−ii−ii−i3i3−i3i3000i−ii3−i3000000000000
χ602-22-2-12002-21-2-2-1123−33−3-1-2201-11003−32-2-22-223−33−3-110000−2i2i−2i2i00001-1−33-113−31-11-1−33−33002i−2i000000i−ii−ii3−i3i3−i3000−ii−i3i3000000000000
χ612-22-2-12002-21-2-2-112−33−33-12-201-1100−332-22-22-2−33−33-1100002i−2i2i−2i0000-11−33-11−33-11-11−33−33002i−2i000000−ii−iii3−i3i3−i3000−iii3−i3000000000000
χ622-22-2-12002-21-2-2-112−33−33-12-201-1100−332-22-22-2−33−33-110000−2i2i−2i2i0000-11−33-11−33-11-11−33−3300−2i2i000000i−ii−i−i3i3−i3i3000i−i−i3i3000000000000
χ632-22-2-12002-21-2-2-112−33−33-1-2201-1100−332-2-22-22−33−33-1100002i−2i2i−2i00001-13−3-11−331-11-13−33−300−2i2i000000−ii−iii3−i3i3−i3000i−i−i3i3000000000000
χ642-22-2-12002-21-2-2-112−33−33-1-2201-1100−332-2-22-22−33−33-110000−2i2i−2i2i00001-13−3-11−331-11-13−33−3002i−2i000000i−ii−i−i3i3−i3i3000−iii3−i3000000000000
χ654444-2444-4-4-244-2-24-2-2-2-2-200-4-2-2-24422-4-40000-2-2-2-222000000000-40000002222000000000000000000000000000000000000000000000
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χ684444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-2-222221111-2-200000000-4-22222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
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χ704444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111-2-222222i32i3−2i3−2i311112200000000022i3−2i30000-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000
χ714444-2-2-4-444-2-2-2-2-2-22222144-41112222-2-2-2-2-2-2-1-1-1-1-2-200000000-4222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000000
χ724444-2-2-4-444-2-2-2-2-2-222221-4-4-41112222-2-22222-1-1-1-1-2-20000000042-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ734444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-222−2i3−2i32i32i3-1-1-1-122000000000-22i3−2i30000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000
χ744444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-2222i32i3−2i3−2i3-1-1-1-122000000000-2−2i32i30000-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000
χ7544-4-44-24-4004-22-4-4244-4-4-2000-222-2200000000-2-222004-44-40000000000000000000000000000-22-2200000000000000000000000000000
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χ7744-4-44-2-44004-22-4-42-4-444-2000-2222-20000000022-2-2004-4-440000000000000000000000000000-222-200000000000000000000000000000
χ7844-4-44-2-44004-22-4-42-4-444-2000-2222-20000000022-2-200-444-400000000000000000000000000002-2-2200000000000000000000000000000
χ7944-4-4-244-400-24-422-4-2-222-2000-2224-400000000-2-2220000002222−22−22000000000000000000000000000022−22−2−222−2−2220000000000000000000
χ8044-4-4-244-400-24-422-4-2-222-2000-2224-400000000-2-222000000−22−2222220000000000000000000000000000−222222−2−222−2−20000000000000000000
χ8144-4-4-24-4400-24-422-422-2-2-2000-222-440000000022-2-20000002222−22−220000000000000000000000000000−2222−2−22222−2−20000000000000000000
χ8244-4-4-24-4400-24-422-422-2-2-2000-222-440000000022-2-2000000−22−222222000000000000000000000000000022−2222−2−2−2−2220000000000000000000
χ834-44-44400-44-4-4-44-4400004000-44-40000-4400000000-440000000000000000-4400000000000000000000000000000000000000000000000
χ844-44-44-2004-4-4224-4-20000-24-402-220000-22-22-2200004-40000000000004-400-2200-22-2200000000000000000000000000000000000000000
χ854-44-44-2004-4-4224-4-20000-2-4402-220000-222-22-200004-4000000000000-4400-22002-22-200000000000000000000000000000000000000000
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χ874-44-44-200-44-4224-4-20000-20002-2200002-22i3−2i3−2i32i30000-4400000000000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ884-44-4-2400-442-4-4-22423−2323−23-20002-2200−2323-44000023−2323−232-200000000000000002-2−2323000000000000000000000000000000000000000000000
χ894-44-4-2400-442-4-4-224−2323−2323-20002-220023−23-440000−2323−23232-200000000000000002-223−23000000000000000000000000000000000000000000000
χ904-44-4-2-2004-4222-22-223−2323−2314-40-11-10023−23-22-22-22−33−33-22000000000000-2223−231-1−331-11-1−33−330000000000000000000000000000000000000
χ914-44-4-2-2004-4222-22-223−2323−231-440-11-10023−23-222-22-2−33−33-220000000000002-2−23231-1−33-11-113−33−30000000000000000000000000000000000000
χ924-44-4-2-2004-4222-22-2−2323−232314-40-11-100−2323-22-22-223−33−3-22000000000000-22−23231-13−31-11-13−33−30000000000000000000000000000000000000
χ934-44-4-2-2004-4222-22-2−2323−23231-440-11-100−2323-222-22-23−33−3-220000000000002-223−231-13−3-11-11−33−330000000000000000000000000000000000000
χ944-44-4-2-200-44222-22-223−2323−231000-11-100−23232-2−2i32i32i3−2i3−33−332-20000000000000000-113−3i3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000000000
χ954-44-4-2-200-44222-22-223−2323−231000-11-100−23232-22i3−2i3−2i32i3−33−332-20000000000000000-113−3−i3i3i3−i33i−3i−3i3i0000000000000000000000000000000000000
χ964-44-4-2-200-44222-22-2−2323−23231000-11-10023−232-2−2i32i32i3−2i33−33−32-20000000000000000-11−33i3−i3−i3i33i−3i−3i3i0000000000000000000000000000000000000
χ974-44-4-2-200-44222-22-2−2323−23231000-11-10023−232-22i3−2i3−2i32i33−33−32-20000000000000000-11−33−i3i3i3−i3−3i3i3i−3i0000000000000000000000000000000000000
χ984-4-44440000-4-44-44-400004000-4-4400000000000000000000−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i200000000000000000000000
χ994-4-44440000-4-44-44-400004000-4-44000000000000000000002i2−2i2−2i22i20000000000000000000000000000002i2−2i2−2i22i200000000000000000000000
χ1004-4-44-2400002-442-2-423−23−2323-200022-2000000000023−23−2323000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2i6−i6−i6i60000000000000000000
χ1014-4-44-2400002-442-2-423−23−2323-200022-2000000000023−23−23230000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2−i6i6i6−i60000000000000000000
χ1024-4-44-2400002-442-2-4−232323−23-200022-20000000000−232323−23000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2−i6i6i6−i60000000000000000000
χ1034-4-44-2400002-442-2-4−232323−23-200022-20000000000−232323−230000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2i6−i6−i6i60000000000000000000
χ10488-8-8-4-48-800-4-44444-4-44420002-2-2-440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-8800-4-4444444-4-420002-2-24-400000000-2-2220000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-888-40000-84-4-8840000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4000044-44-4443−43−43432000-2-220000000000−232323−230000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4000044-44-44−434343−432000-2-22000000000023−23−23230000000000000000000000000000000000000000000000000000000000000000000

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