Finite Group Databasebeta

← Group #11887568

Character table — Group #11887568

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order1222334444666666121212123444666121212121212121212121212121212122222888826666666612121212121212121212124444666688242424242424242444412121212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111111111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111111-1-1
χ9111111-1-111111111-1-1-1-11-11111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-11111-1-1-1-11111-1-1-1-1-11-11-111-1-111-1-111-1-11-1
χ10111111-1-111111111-1-1-1-11-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-111-1-1-1-1111111-11-1-1-11111-1-1-1-111-11
χ11111111-1-111111111-1-1-1-11-11111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-111-1-11111-1-1-1-1-1-11-1111-1-1-1-111-1-111-11
χ12111111-1-111111111-1-1-1-11-11111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-1-1-11111-1-1-1-111111-11-11-1-111-1-11111-1-11-1
χ13111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-11-111-1-1-111-1-11111-1-1-11
χ14111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-11-11111-1-111-1-1-1-11111-1-111-111-1-1-1-111-1-1111-1
χ15111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-11-1-11111-1-1-1-1111-1
χ16111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-11-1-1111-1-111-1-111-1-1-11
χ1722222222-2-222222222222-200222-2-2-2-22200002222-2-222220000000000000-200-2-2-2-20000-2-20022220000000000000-2-200000000000000
χ1822222222-2-222222222222-200222-2-2-2-22200002222-2-2-2-2-2-20000000000000-200-2-2-2-200002200-2-2-2-200000000000002200000000000000
χ19222222-2-2-2-2222222-2-2-2-22200222-2-222-2-20000-2-2-2-2-2-222-2-20000000000000200-2-2220000-220022-2-20000000000000-2200000000000000
χ20222222-2-2-2-2222222-2-2-2-22200222-2-222-2-20000-2-2-2-2-2-2-2-2220000000000000200-2-22200002-200-2-22200000000000002-200000000000000
χ2122222-12222-1222-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222220000222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200-1-1-1-10000000000022-1-10000-1-1-1-1000000
χ2222222-12222-1222-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-2-2-2-20000222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200111100000000000-2-21100001111000000
χ2322222-12222-1222-1-12222-12-2-2-1-1-1-1-122-1-11111-1-1-1-12222220000-2-2-2111111-1-2-2-1-1-1-111112200-1-1-1-100000000000-2-2-1-100001111000000
χ2422222-12222-1222-1-12222-12-2-2-1-1-1-1-122-1-11111-1-1-1-122-2-2-2-20000-2-2-2111111-1-2-2-1-1-1-11111-2-20011110000000000022110000-1-1-1-1000000
χ2522222-122-2-2-1222-1-12222-1-200-1-1-111-2-2-1-1−i3−i3i3i3-1-1-1-1-2-222220000000−i3i3−i3−i3i3i31001111−i3−i3i3i3-2-200-1-1-1-10000000000000110000−i3i3−i3i3000000
χ2622222-122-2-2-1222-1-12222-1-200-1-1-111-2-2-1-1−i3−i3i3i3-1-1-1-1-2-2-2-2-2-20000000−i3i3−i3−i3i3i31001111−i3−i3i3i3220011110000000000000-1-10000i3−i3i3−i3000000
χ2722222-122-2-2-1222-1-12222-1-200-1-1-111-2-2-1-1i3i3−i3−i3-1-1-1-1-2-222220000000i3−i3i3i3−i3−i31001111i3i3−i3−i3-2-200-1-1-1-10000000000000110000i3−i3i3−i3000000
χ2822222-122-2-2-1222-1-12222-1-200-1-1-111-2-2-1-1i3i3−i3−i3-1-1-1-1-2-2-2-2-2-20000000i3−i3i3i3−i3−i31001111i3i3−i3−i3220011110000000000000-1-10000−i3i3−i3i3000000
χ2922222-1-2-222-1222-1-1-2-2-2-2-1-222-1-1-1-1-1-2-211-1-1-1-111112222-2-20000-2-2-2111111122-1-111-1-1-1-12-200-1-111000000000002-2-110000-1-111000000
χ3022222-1-2-222-1222-1-1-2-2-2-2-1-222-1-1-1-1-1-2-211-1-1-1-1111122-2-2220000-2-2-2111111122-1-111-1-1-1-1-220011-1-100000000000-221-1000011-1-1000000
χ3122222-1-2-222-1222-1-1-2-2-2-2-1-2-2-2-1-1-1-1-1-2-211111111112222-2-20000222-1-1-1-1-1-11-2-2-1-11111112-200-1-11100000000000-22-11000011-1-1000000
χ3222222-1-2-222-1222-1-1-2-2-2-2-1-2-2-2-1-1-1-1-1-2-2111111111122-2-2220000222-1-1-1-1-1-11-2-2-1-1111111-220011-1-1000000000002-21-10000-1-111000000
χ3322222-1-2-2-2-2-1222-1-1-2-2-2-2-1200-1-1-1112211−i3−i3i3i31111-2-222-2-20000000i3−i3i3i3−i3−i3-10011-1-1−i3−i3i3i3-2200-1-11100000000000001-10000−i3i3i3−i3000000
χ3422222-1-2-2-2-2-1222-1-1-2-2-2-2-1200-1-1-1112211−i3−i3i3i31111-2-2-2-2220000000i3−i3i3i3−i3−i3-10011-1-1−i3−i3i3i32-20011-1-10000000000000-110000i3−i3−i3i3000000
χ3522222-1-2-2-2-2-1222-1-1-2-2-2-2-1200-1-1-1112211i3i3−i3−i31111-2-222-2-20000000−i3i3−i3−i3i3i3-10011-1-1i3i3−i3−i3-2200-1-11100000000000001-10000i3−i3−i3i3000000
χ3622222-1-2-2-2-2-1222-1-1-2-2-2-2-1200-1-1-1112211i3i3−i3−i31111-2-2-2-2220000000−i3i3−i3−i3i3i3-10011-1-1i3i3−i3−i32-20011-1-10000000000000-110000−i3i3i3−i3000000
χ372222-1222222-1-1-122-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-1000022222-1-122-1-1-1-12-1-1-1-1-1-1-1-1-1-10022000022-1-1-1-1-1-1-1-120000-1-1-1-10000000000
χ382222-1222222-1-1-122-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-10000-2-2-2-22-1-122-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-20000-2-211111111-2000011110000000000
χ392222-1222222-1-1-122-1-1-1-1-12-2-2-1-1-122-1-122-2-2-2-2-1-1-1-1-1-100002222-211-2-21111211-1-1-1-1111100-2-2000022-1-1-1-1-1-1-1-1-2000011110000000000
χ402222-1222222-1-1-122-1-1-1-1-12-2-2-1-1-122-1-122-2-2-2-2-1-1-1-1-1-10000-2-2-2-2-211-2-21111211-1-1-1-1111100220000-2-21111111120000-1-1-1-10000000000
χ412222-12-2-2222-1-1-1221111-1-222-1-1-12211-2-222221111-1-100002222-211-2-21111-2-1-1-1-111-1-1-1-100220000-2-2-1-1-1-11111-20000-1-1110000000000
χ422222-12-2-2222-1-1-1221111-1-222-1-1-12211-2-222221111-1-10000-2-2-2-2-211-2-21111-2-1-1-1-111-1-1-1-100-2-20000221111-1-1-1-12000011-1-10000000000
χ432222-12-2-2222-1-1-1221111-1-2-2-2-1-1-12211-2-2-2-2-2-21111-1-1000022222-1-122-1-1-1-1-211-1-111111100-2-20000-2-2-1-1-1-111112000011-1-10000000000
χ442222-12-2-2222-1-1-1221111-1-2-2-2-1-1-12211-2-2-2-2-2-21111-1-10000-2-2-2-22-1-122-1-1-1-1-211-1-111111100220000221111-1-1-1-1-20000-1-1110000000000
χ452-22-2222-200-22-2-2-2222-2-22000-2-2200002-2000022-2-2002-22-2−i2−i2i2i20000000000000000000000002-22-2−i2i2−i2−i2i2i2−i2−i2i2i20000000000000−i2i2−i2i200
χ462-22-2222-200-22-2-2-2222-2-22000-2-2200002-2000022-2-2002-22-2i2i2−i2−i20000000000000000000000002-22-2i2−i2i2i2−i2−i2i2i2−i2−i20000000000000i2−i2i2−i200
χ472-22-2222-200-22-2-2-2222-2-22000-2-2200002-2000022-2-200-22-22−i2−i2i2i2000000000000000000000000-22-22−i2i2−i2−i2i2i2−i2−i2i2i20000000000000i2−i2i2−i200
χ482-22-2222-200-22-2-2-2222-2-22000-2-2200002-2000022-2-200-22-22i2i2−i2−i2000000000000000000000000-22-22i2−i2i2i2−i2−i2i2i2−i2−i20000000000000−i2i2−i2i200
χ492-22-222-2200-22-2-2-22-2-2222000-2-220000-220000-2-222002-2-22−i2−i2i2i20000000000000000000000002-2-22i2−i2−i2−i2i2i2i2i2−i2−i20000000000000−i2i2i2−i200
χ502-22-222-2200-22-2-2-22-2-2222000-2-220000-220000-2-222002-2-22i2i2−i2−i20000000000000000000000002-2-22−i2i2i2i2−i2−i2−i2−i2i2i20000000000000i2−i2−i2i200
χ512-22-222-2200-22-2-2-22-2-2222000-2-220000-220000-2-22200-222-2−i2−i2i2i2000000000000000000000000-222-2i2−i2−i2−i2i2i2i2i2−i2−i20000000000000i2−i2−i2i200
χ522-22-222-2200-22-2-2-22-2-2222000-2-220000-220000-2-22200-222-2i2i2−i2−i2000000000000000000000000-222-2−i2i2i2i2−i2−i2−i2−i2i2i20000000000000−i2i2i2−i200
χ532-2-2222002-2-2-22-22-20000202i−2i2-2-22-200002i−2i2i−2i00002-200002i−2i2i−2i00000000002i−2i2-2002i−2i2i−2i002-20000002i−2i2i−2i0000000002-2000000000000
χ542-2-2222002-2-2-22-22-20000202i−2i2-2-22-200002i−2i2i−2i00002-20000−2i2i−2i2i00000000002i−2i2-2002i−2i2i−2i00-22000000−2i2i−2i2i000000000-22000000000000
χ552-2-2222002-2-2-22-22-2000020−2i2i2-2-22-20000−2i2i−2i2i00002-200002i−2i2i−2i0000000000−2i2i2-200−2i2i−2i2i00-220000002i−2i2i−2i000000000-22000000000000
χ562-2-2222002-2-2-22-22-2000020−2i2i2-2-22-20000−2i2i−2i2i00002-20000−2i2i−2i2i0000000000−2i2i2-200−2i2i−2i2i002-2000000−2i2i−2i2i0000000002-2000000000000
χ572-2-22-12002-2-21-112-23−33−3-102i−2i-1112-23−3002i−2i2i−2i3−33−3-1100002i−2i2i−2i0−i3i300−i3i3−i3i30−ii-113−3−ii−ii002-2000000−ii−ii−i3i3−i3i300000-113−30000000000
χ582-2-22-12002-2-21-112-23−33−3-102i−2i-1112-23−3002i−2i2i−2i3−33−3-110000−2i2i−2i2i0−i3i300−i3i3−i3i30−ii-113−3−ii−ii00-22000000i−ii−ii3−i3i3−i3000001-1−330000000000
χ592-2-22-12002-2-21-112-23−33−3-10−2i2i-1112-23−300−2i2i−2i2i3−33−3-1100002i−2i2i−2i0i3−i300i3−i3i3−i30i−i-113−3i−ii−i00-22000000−ii−ii−i3i3−i3i3000001-1−330000000000
χ602-2-22-12002-2-21-112-23−33−3-10−2i2i-1112-23−300−2i2i−2i2i3−33−3-110000−2i2i−2i2i0i3−i300i3−i3i3−i30i−i-113−3i−ii−i002-2000000i−ii−ii3−i3i3−i300000-113−30000000000
χ612-2-22-12002-2-21-112-2−33−33-102i−2i-1112-2−33002i−2i2i−2i−33−33-1100002i−2i2i−2i0i3−i300i3−i3i3−i30−ii-11−33−ii−ii002-2000000−ii−iii3−i3i3−i300000-11−330000000000
χ622-2-22-12002-2-21-112-2−33−33-102i−2i-1112-2−33002i−2i2i−2i−33−33-110000−2i2i−2i2i0i3−i300i3−i3i3−i30−ii-11−33−ii−ii00-22000000i−ii−i−i3i3−i3i3000001-13−30000000000
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χ642-2-22-12002-2-21-112-2−33−33-10−2i2i-1112-2−3300−2i2i−2i2i−33−33-110000−2i2i−2i2i0−i3i300−i3i3−i3i30i−i-11−33i−ii−i002-2000000i−ii−i−i3i3−i3i300000-11−330000000000
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χ714444-2-2-4-444-2-2-2-2-2-222221-444111-2-22222-2-2-2-2-1-1-1-1-2-200000000-42222-1-1-1-12-2-211-1-111110000000000000000000000000000000000000
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χ744444-2-2-4-4-4-4-2-2-2-2-2-22222140011122-2-2222i32i3−2i3−2i3-1-1-1-12200000000000−2i32i3i3i3−i3−i3-200-1-111−i3−i3i3i30000000000000000000000000000000000000
χ7544-4-44400004-4-44-4-400004000-44-40000000000000000000022−22−222200000000000000000000000000000022−22−222200000000000000000000000
χ7644-4-44400004-4-44-4-400004000-44-400000000000000000000−222222−22000000000000000000000000000000−222222−2200000000000000000000000
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χ8044-4-4-240000422-2-4-4−232323−23-20002-220000000000−232323−23000000−222222−220000000000000000000000000000002−2−22−666−60000000000000000000
χ814-44-44-24-40024-4-42-244-4-4-200022-20000-220000-2-222004-44-40000000000000000000000000000-22-2200000000000000000000000000000
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χ834-44-44-2-440024-4-42-2-4-444-200022-200002-2000022-2-2004-4-440000000000000000000000000000-222-200000000000000000000000000000
χ844-44-44-2-440024-4-42-2-4-444-200022-200002-2000022-2-200-444-400000000000000000000000000002-2-2200000000000000000000000000000
χ854-44-4-244-400-4-222-44-2-222-200022-200004-40000-2-222000000−2i2−2i22i22i20000000000000000000000000000−2i22i2i2i2−i2−i2i2i2−i2−i20000000000000000000
χ864-44-4-244-400-4-222-44-2-222-200022-200004-40000-2-2220000002i22i2−2i2−2i200000000000000000000000000002i2−2i2−i2−i2i2i2−i2−i2i2i20000000000000000000
χ874-44-4-24-4400-4-222-4422-2-2-200022-20000-44000022-2-2000000−2i2−2i22i22i200000000000000000000000000002i2−2i2i2i2−i2−i2−i2−i2i2i20000000000000000000
χ884-44-4-24-4400-4-222-4422-2-2-200022-20000-44000022-2-20000002i22i2−2i2−2i20000000000000000000000000000−2i22i2−i2−i2i2i2i2i2−i2−i20000000000000000000
χ894-4-444400-44-4-44-44-4000040004-4-4-44000000000000-4400000000000000000000-440000000000000000000000000000000000000000000
χ904-4-444-2004-42-44-4-220000-204i−4i-222-220000−2i2i−2i2i00004-40000000000000000004i−4i-2200−2i2i−2i2i0000000000000000000000000000000000000
χ914-4-444-2004-42-44-4-220000-20−4i4i-222-2200002i−2i2i−2i00004-4000000000000000000−4i4i-22002i−2i2i−2i0000000000000000000000000000000000000
χ924-4-444-200-442-44-4-220000-2000-2222-2000023−23−23230000-44000000000000000000002-20023−23−23230000000000000000000000000000000000000
χ934-4-444-200-442-44-4-220000-2000-2222-20000−232323−230000-44000000000000000000002-200−232323−230000000000000000000000000000000000000
χ944-4-44-2400-44-42-224-423−2323−23-2000-222-44−232300000023−2323−232-2000000000000000000002-2−232300000000000000000000000000000000000000000
χ954-4-44-2400-44-42-224-4−2323−2323-2000-222-4423−23000000−2323−23232-2000000000000000000002-223−2300000000000000000000000000000000000000000
χ964-4-44-2-2004-422-22-2223−2323−23104i−4i1-1-1-2223−2300−2i2i−2i2i−33−33-22000000000−2i32i300i3−i3i3−i30−2i2i1-1−33i−ii−i0000000000000000000000000000000000000
χ974-4-44-2-2004-422-22-2223−2323−2310−4i4i1-1-1-2223−23002i−2i2i−2i−33−33-220000000002i3−2i300−i3i3−i3i302i−2i1-1−33−ii−ii0000000000000000000000000000000000000
χ984-4-44-2-2004-422-22-22−2323−2323104i−4i1-1-1-22−232300−2i2i−2i2i3−33−3-220000000002i3−2i300−i3i3−i3i30−2i2i1-13−3i−ii−i0000000000000000000000000000000000000
χ994-4-44-2-2004-422-22-22−2323−232310−4i4i1-1-1-22−2323002i−2i2i−2i3−33−3-22000000000−2i32i300i3−i3i3−i302i−2i1-13−3−ii−ii0000000000000000000000000000000000000
χ1004-4-44-2-200-4422-22-2223−2323−2310001-1-12-2−23230023−23−2323−33−332-20000000000000-333-3000-113−3−333−30000000000000000000000000000000000000
χ1014-4-44-2-200-4422-22-2223−2323−2310001-1-12-2−232300−232323−23−33−332-200000000000003-3-33000-113−33−3−330000000000000000000000000000000000000
χ1024-4-44-2-200-4422-22-22−2323−232310001-1-12-223−230023−23−23233−33−32-200000000000003-3-33000-11−33−333−30000000000000000000000000000000000000
χ1034-4-44-2-200-4422-22-22−2323−232310001-1-12-223−2300−232323−233−33−32-20000000000000-333-3000-11−333−3−330000000000000000000000000000000000000
χ10488-8-88-40000-4-8-88440000-40004-44000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-40000-444-44443−43−43432000-22-20000000000−232323−230000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-40000-444-444−434343−432000-22-2000000000023−23−23230000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-48-8004-4444-4-4-4442000-2-220000-44000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-88004-4444-444-4-42000-2-2200004-40000-2-2220000000000000000000000000000000000000000000000000000000000000000000

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