Finite Group Databasebeta

← Group #11887539

Character table — Group #11887539

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order1222334444666666121212123444666121212121212121212121212121212122222888841212121212121212121212121212121212121244446666882424242424242424244661212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-1111111111-1-1-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111-1-1111111111-1-1-1-11111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-11-1-1-1111-111-1-111-1-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-1-111-1-111-1-1-1-1111111-111-1-11-111-1-1-1-111-11
χ11111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11-1-111-11-1-111-1-111-11
χ12111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1111-1-1-11-1-11111-1-11-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1-1111111-1-1-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-11-1111-1-11-1-1-11111-1-1-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111111-11111-1-111-1-1-1-11111-1-11-1-1111-1-1-111-1-1111-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111-1-1-1111111-1-1-1-1-1-11111-11-1-1-1-111-1-11111-1-1-1-111-111-1-1-1111-1-1-1-1111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1111-1-11111-1-1-1-11111-11-1-1-111-1111-1-111-1-1-11
χ1722222222-2-222222222222-20022222-2-2-2-200002222-2-2222200000-2000000-2-2-2-200000000-2-200222200000000000000000-2-20000000000
χ1822222222-2-222222222222-20022222-2-2-2-200002222-2-2-2-2-2-200000-2000000-2-2-2-2000000002200-2-2-2-200000000000000000220000000000
χ19222222-2-2-2-2222222-2-2-2-22200222-2-222-2-20000-2-2-2-2-2-222-2-2000002000000-2-22200000000-220022-2-200000000000000000-220000000000
χ20222222-2-2-2-2222222-2-2-2-22200222-2-222-2-20000-2-2-2-2-2-2-2-222000002000000-2-222000000002-200-2-222000000000000000002-20000000000
χ2122222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-10000222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000022-1-1-1-1-1-1-1-1200-1-1-1-1000000000000
χ2222222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-10000-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-211111111-2001111000000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-2-2-1-1-122-1-122-2-2-2-2-1-1-1-1-1-100002222-2211-2-211-1-1-1-11111111100-2-2000022-1-1-1-1-1-1-1-1-2001111000000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-2-2-1-1-122-1-122-2-2-2-2-1-1-1-1-1-10000-2-2-2-2-2211-2-211-1-1-1-11111111100220000-2-211111111200-1-1-1-1000000000000
χ2522222-1-2-22222-1-1-121111-1-222-1-1-1-2-2112222221111-1-100002222-2-2-1-1-2-211-1-111-1-1-1-1111100220000-2-2-1-1-1-11111-20011-1-1000000000000
χ2622222-1-2-22222-1-1-121111-1-222-1-1-1-2-2112222221111-1-10000-2-2-2-2-2-2-1-1-2-211-1-111-1-1-1-1111100-2-20000221111-1-1-1-1200-1-111000000000000
χ2722222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21122-2-2-2-21111-1-1000022222-21122-1-1-1-1111111-1-1-1-100-2-20000-2-2-1-1-1-11111200-1-111000000000000
χ2822222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21122-2-2-2-21111-1-10000-2-2-2-22-21122-1-1-1-1111111-1-1-1-100220000221111-1-1-1-1-20011-1-1000000000000
χ292222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222200002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-100000000000220000-1-1-1-1-1-1000000
χ302222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-2-2-2-200002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000000-2-20000111111000000
χ312222-122222-1-1222-12222-12-2-2-1-1-1-1-122-1-11111-1-1-1-12222220000-2-1-2-211-2-2-1-1-1-1111111112200-1-1-1-100000000000-2-20000-1-11111000000
χ322222-122222-1-1222-12222-12-2-2-1-1-1-1-122-1-11111-1-1-1-122-2-2-2-20000-2-1-2-211-2-2-1-1-1-111111111-2-20011110000000000022000011-1-1-1-1000000
χ332222-1222-2-2-1-1222-12222-1-200-1-1-1-1-1-2-211−i3−i3i3i3-1-1-1-1-2-2222200000100−i3i3001111−i3−i3i3i3−i3−i3i3i3-2-200-1-1-1-10000000000000000011−i3i3−i3i3000000
χ342222-1222-2-2-1-1222-12222-1-200-1-1-1-1-1-2-211−i3−i3i3i3-1-1-1-1-2-2-2-2-2-200000100−i3i3001111−i3−i3i3i3−i3−i3i3i32200111100000000000000000-1-1i3−i3i3−i3000000
χ352222-1222-2-2-1-1222-12222-1-200-1-1-1-1-1-2-211i3i3−i3−i3-1-1-1-1-2-2222200000100i3−i3001111i3i3−i3−i3i3i3−i3−i3-2-200-1-1-1-10000000000000000011i3−i3i3−i3000000
χ362222-1222-2-2-1-1222-12222-1-200-1-1-1-1-1-2-211i3i3−i3−i3-1-1-1-1-2-2-2-2-2-200000100i3−i3001111i3i3−i3−i3i3i3−i3−i32200111100000000000000000-1-1−i3i3−i3i3000000
χ372222-12-2-222-1-1222-1-2-2-2-2-1-222-1-1-111-2-2-1-1-1-1-1-111112222-2-20000-212211-2-2-1-111-1-1-1-111112-200-1-111000000000002-20000-11-1-111000000
χ382222-12-2-222-1-1222-1-2-2-2-2-1-222-1-1-111-2-2-1-1-1-1-1-1111122-2-2220000-212211-2-2-1-111-1-1-1-11111-220011-1-100000000000-2200001-111-1-1000000
χ392222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1-1111111112222-2-2000021-2-2-1-122-1-1111111-1-1-1-12-200-1-11100000000000-220000-1111-1-1000000
χ402222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1-11111111122-2-222000021-2-2-1-122-1-1111111-1-1-1-1-220011-1-1000000000002-200001-1-1-111000000
χ412222-12-2-2-2-2-1-1222-1-2-2-2-2-1200-1-1-1112211−i3−i3i3i31111-2-222-2-200000-100i3−i30011-1-1−i3−i3i3i3i3i3−i3−i3-2200-1-111000000000000000001-1−i3i3i3−i3000000
χ422222-12-2-2-2-2-1-1222-1-2-2-2-2-1200-1-1-1112211−i3−i3i3i31111-2-2-2-22200000-100i3−i30011-1-1−i3−i3i3i3i3i3−i3−i32-20011-1-100000000000000000-11i3−i3−i3i3000000
χ432222-12-2-2-2-2-1-1222-1-2-2-2-2-1200-1-1-1112211i3i3−i3−i31111-2-222-2-200000-100−i3i30011-1-1i3i3−i3−i3−i3−i3i3i3-2200-1-111000000000000000001-1i3−i3−i3i3000000
χ442222-12-2-2-2-2-1-1222-1-2-2-2-2-1200-1-1-1112211i3i3−i3−i31111-2-2-2-22200000-100−i3i30011-1-1i3i3−i3−i3−i3−i3i3i32-20011-1-100000000000000000-11−i3i3i3−i3000000
χ452-22-222002-2-2-22-2-220000202-2-22-200002-22-22-200002-200002i2i−2i−2i002-200002-2002-22-20000002i−2i0000002i2i−2i−2i0000000002i−2i000000000000
χ462-22-222002-2-2-22-2-220000202-2-22-200002-22-22-200002-20000−2i−2i2i2i002-200002-2002-22-2000000−2i2i000000−2i−2i2i2i000000000−2i2i000000000000
χ472-22-222002-2-2-22-2-22000020-22-22-200002-2-22-2200002-200002i2i−2i−2i00-2200002-200-22-22000000−2i2i0000002i2i−2i−2i000000000−2i2i000000000000
χ482-22-222002-2-2-22-2-22000020-22-22-200002-2-22-2200002-20000−2i−2i2i2i00-2200002-200-22-220000002i−2i000000−2i−2i2i2i0000000002i−2i000000000000
χ492-22-22-1002-2-2-2-111233−3−3-102-21-11003−32-22-22-233−3−3-1100002i2i−2i−2i00-11003−3-113−3-11-113−33−3002i−2i000000−i−iii−i3−i3i3i3000−i3i3−ii000000000000
χ502-22-22-1002-2-2-2-111233−3−3-102-21-11003−32-22-22-233−3−3-110000−2i−2i2i2i00-11003−3-113−3-11-113−33−300−2i2i000000ii−i−ii3i3−i3−i3000i3−i3i−i000000000000
χ512-22-22-1002-2-2-2-111233−3−3-10-221-11003−32-2-22-2233−3−3-1100002i2i−2i−2i001-100−33-113−31-11-1−33−3300−2i2i000000−i−iii−i3−i3i3i3000i3−i3i−i000000000000
χ522-22-22-1002-2-2-2-111233−3−3-10-221-11003−32-2-22-2233−3−3-110000−2i−2i2i2i001-100−33-113−31-11-1−33−33002i−2i000000ii−i−ii3i3−i3−i3000−i3i3−ii000000000000
χ532-22-22-1002-2-2-2-1112−3−333-102-21-1100−332-22-22-2−3−333-1100002i2i−2i−2i00-1100−33-11−33-11-11−33−33002i−2i000000−i−iiii3i3−i3−i3000i3−i3−ii000000000000
χ542-22-22-1002-2-2-2-1112−3−333-102-21-1100−332-22-22-2−3−333-110000−2i−2i2i2i00-1100−33-11−33-11-11−33−3300−2i2i000000ii−i−i−i3−i3i3i3000−i3i3i−i000000000000
χ552-22-22-1002-2-2-2-1112−3−333-10-221-1100−332-2-22-22−3−333-1100002i2i−2i−2i001-1003−3-11−331-11-13−33−300−2i2i000000−i−iiii3i3−i3−i3000−i3i3i−i000000000000
χ562-22-22-1002-2-2-2-1112−3−333-10-221-1100−332-2-22-22−3−333-110000−2i−2i2i2i001-1003−3-11−331-11-13−33−3002i−2i000000ii−i−i−i3−i3i3i3000i3−i3−ii000000000000
χ572-2-22222-2002-2-2-22-22-22-220002-2-22-2000000002-22-2002-22-2−i2i2−i2i20000000000000000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000−i2i2−i2i200
χ582-2-22222-2002-2-2-22-22-22-220002-2-22-2000000002-22-2002-22-2i2−i2i2−i20000000000000000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000i2−i2i2−i200
χ592-2-22222-2002-2-2-22-22-22-220002-2-22-2000000002-22-200-22-22−i2i2−i2i2000000000000000000000000-22-22−i2i2−i2i2−i2i2−i2i2−i2i20000000000000i2−i2i2−i200
χ602-2-22222-2002-2-2-22-22-22-220002-2-22-2000000002-22-200-22-22i2−i2i2−i2000000000000000000000000-22-22i2−i2i2−i2i2−i2i2−i2i2−i20000000000000−i2i2−i2i200
χ612-2-2222-22002-2-2-22-2-22-2220002-2-2-2200000000-22-22002-2-22−i2i2−i2i20000000000000000000000002-2-22i2−i2−i2i2−i2i2i2−i2i2−i20000000000000−i2i2i2−i200
χ622-2-2222-22002-2-2-22-2-22-2220002-2-2-2200000000-22-22002-2-22i2−i2i2−i20000000000000000000000002-2-22−i2i2i2−i2i2−i2−i2i2−i2i20000000000000i2−i2−i2i200
χ632-2-2222-22002-2-2-22-2-22-2220002-2-2-2200000000-22-2200-222-2−i2i2−i2i2000000000000000000000000-222-2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000i2−i2−i2i200
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χ714444-2-2-4-444-2-2-2-2-2-222221-4441112222-2-2-2-2-2-2-1-1-1-1-2-200000000-42-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ724444-2-2-4-444-2-2-2-2-2-222221-4-4-41112222-2-22222-1-1-1-1-2-2000000004222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
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χ744444-2-2-4-4-4-4-2-2-2-2-2-22222140011122-2-2222i32i3−2i3−2i3-1-1-1-122000000000-200−2i32i300-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000
χ7544-4-4440000-44-44-4-400004000-4-440000000000000000000022−22−222200000000000000000000000000000022−22−222200000000000000000000000
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χ814-44-44400-44-4-44-4-4400004000-44-40000-4400000000-440000000000000000-4400000000000000000000000000000000000000000000000
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χ864-44-4-2400-44224-4-4-20000-20002-2200002-2−2i32i32i3−2i30000-4400000000000000002-200−2i32i32i3−2i300000000000000000000000000000000000000000
χ874-44-4-2400-44224-4-4-20000-20002-2200002-22i3−2i3−2i32i30000-4400000000000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ884-44-4-2-2004-422-222-22323−23−23104-4-11-10023−23-22-22-22−3−333-220000000000-220023−231-1−331-11-1−33−330000000000000000000000000000000000000
χ894-44-4-2-2004-422-222-22323−23−2310-44-11-10023−23-222-22-2−3−333-2200000000002-200−23231-1−33-11-113−33−30000000000000000000000000000000000000
χ904-44-4-2-2004-422-222-2−23−232323104-4-11-100−2323-22-22-2233−3−3-220000000000-2200−23231-13−31-11-13−33−30000000000000000000000000000000000000
χ914-44-4-2-2004-422-222-2−23−23232310-44-11-100−2323-222-22-233−3−3-2200000000002-20023−231-13−3-11-11−33−330000000000000000000000000000000000000
χ924-44-4-2-200-4422-222-22323−23−231000-11-100−23232-2−2i32i32i3−2i3−3−3332-20000000000000000-113−3i3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000000000
χ934-44-4-2-200-4422-222-22323−23−231000-11-100−23232-22i3−2i3−2i32i3−3−3332-20000000000000000-113−3−i3i3i3−i33i−3i−3i3i0000000000000000000000000000000000000
χ944-44-4-2-200-4422-222-2−23−2323231000-11-10023−232-2−2i32i32i3−2i333−3−32-20000000000000000-11−33i3−i3−i3i33i−3i−3i3i0000000000000000000000000000000000000
χ954-44-4-2-200-4422-222-2−23−2323231000-11-10023−232-22i3−2i3−2i32i333−3−32-20000000000000000-11−33−i3i3i3−i3−3i3i3i−3i0000000000000000000000000000000000000
χ964-4-444-24-4004-422-2-4-22-22-2000-2224-400000000-22-22000000−2i22i2−2i22i20000000000000000000000000000−2i22i2i2−i2i2−i2i2−i2i2−i20000000000000000000
χ974-4-444-24-4004-422-2-4-22-22-2000-2224-400000000-22-220000002i2−2i22i2−2i200000000000000000000000000002i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000
χ984-4-444-2-44004-422-2-42-22-2-2000-222-44000000002-22-2000000−2i22i2−2i22i200000000000000000000000000002i2−2i2i2−i2i2−i2−i2i2−i2i20000000000000000000
χ994-4-444-2-44004-422-2-42-22-2-2000-222-44000000002-22-20000002i2−2i22i2−2i20000000000000000000000000000−2i22i2−i2i2−i2i2i2−i2i2−i20000000000000000000
χ1004-4-44-244-400-22-4-4424-44-4-2000-222-2200000000-22-22004-44-40000000000000000000000000000-22-2200000000000000000000000000000
χ1014-4-44-244-400-22-4-4424-44-4-2000-222-2200000000-22-2200-44-4400000000000000000000000000002-22-200000000000000000000000000000
χ1024-4-44-24-4400-22-4-442-44-44-2000-2222-2000000002-22-2004-4-440000000000000000000000000000-222-200000000000000000000000000000
χ1034-4-44-24-4400-22-4-442-44-44-2000-2222-2000000002-22-200-444-400000000000000000000000000002-2-2200000000000000000000000000000
χ10488-8-8-4800004-4-88-840000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-400004-44-44443−43−43432000-2-220000000000−232323−230000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-400004-44-444−434343−432000-2-22000000000023−23−23230000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-48-800-4444-44-44-4420002-2-2-44000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-8800-4444-444-44-420002-2-24-400000000-22-220000000000000000000000000000000000000000000000000000000000000000000

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