Finite Group Databasebeta

← Group #11895968

Character table — Group #11895968

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444444444444444444888888888888888888121212121212121212121212242424242424242424242424242424242424363636367272
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212121212121244441212121212121212222444666666121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111111111-1-1
χ9111111-1-1111111111-11-11-11111111-1-11111-1-1-1-1-1-11111-11-1-11-1-1-1-1-11111-1-1-1-1111111111111-11-1-11-1-1-111-1-1-1-111-1-111-1-11-1
χ10111111-1-1111111111-11-11-11111111-1-11111-1-1-1-1-1-11111-11-1-11-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-1-1-111-11
χ11111111-1-1111111111-11-11-11111111-1-11111-1-1-1-1-1-11111-11-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11-11-1-111-1-111-1-111-1-111-11
χ12111111-1-1111111111-11-11-11111111-1-11111-1-1-1-1-1-11111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-11111-1-11111-1-11-1
χ13111111-1-1111111111-1-11-111111111-1-1-1-1-1-11111-1-11111-1-11-1-11-1-1-1-1-1-1-1-11111111111111111-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-11
χ14111111-1-1111111111-1-11-111111111-1-1-1-1-1-11111-1-11111-1-11-1-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-111111-1-1-1-1-1-111-1-1111-1
χ15111111-1-1111111111-1-11-111111111-1-1-1-1-1-11111-1-11111-1-11-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-1-1-1-1111111-1-1-1-1111-1
χ16111111-1-1111111111-1-11-111111111-1-1-1-1-1-11111-1-11111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-11111-1-111-1-1-11
χ1722222222-2-22222222-222-2-2222-2-2-2-22222-2-222-2-222-2-2-2-2-222-2-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ1822222222-2-22222222-2-2-222222-2-2-2-222-2-222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222000000000000000000000000000000000000
χ19222222-2-2-2-2222222222-2-22222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-222-22-22-2-22222-2-2-2-222000000000000000000000000000000000000
χ20222222-2-2-2-222222222-222-2222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22-2222-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ2122222-12222-1-122-12-122222-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-1222000-1-1-1-1-1-1000000000000
χ2222222-12222-1-122-12-122222-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-200001111-2-2-2000111111000000000000
χ2322222-12222-1-122-12-12-2-2-2-2-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1-1112-2-2-1-1-1-11111111100220000-1-1-1-12-2-2000-1-11111000000000000
χ2422222-12222-1-122-12-12-2-2-2-2-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1-1112-2-2-1-1-1-11111111100-2-200001111-22200011-1-1-1-1000000000000
χ2522222-122-2-2-1-122-12-1-222-2-2-1-1-111-2-2-1-1221122112211111-1-1-2-2-2-1-111-1-111-1-11100000000−i3−i3i3i3000000−i3i3−i3i3−i3i3000000000000
χ2622222-122-2-2-1-122-12-1-222-2-2-1-1-111-2-2-1-1221122112211111-1-1-2-2-2-1-111-1-111-1-11100000000i3i3−i3−i3000000i3−i3i3−i3i3−i3000000000000
χ2722222-122-2-2-1-122-12-1-2-2-222-1-1-111-2-2-1-1-2-2-1-1-2-2-1-1221111111-222-1-11111-1-111-1-100000000−i3−i3i3i3000000−i3i3i3−i3i3−i3000000000000
χ2822222-122-2-2-1-122-12-1-2-2-222-1-1-111-2-2-1-1-2-2-1-1-2-2-1-1221111111-222-1-11111-1-111-1-100000000i3i3−i3−i3000000i3−i3−i3i3−i3i3000000000000
χ2922222-1-2-222-1-122-12-1-22-22-2-1-1-1-1-1221122-1-1-2-211-2-2-1-1-1-11-11-22-21111-1-1-1-1111100220000-1-1-1-1-22-200011-1-111000000000000
χ3022222-1-2-222-1-122-12-1-22-22-2-1-1-1-1-1221122-1-1-2-211-2-2-1-1-1-11-11-22-21111-1-1-1-1111100-2-2000011112-22000-1-111-1-1000000000000
χ3122222-1-2-222-1-122-12-1-2-22-22-1-1-1-1-12211-2-21122-1-1-2-2-1-1-1-111-1-2-2211111111-1-1-1-100220000-1-1-1-1-2-220001111-1-1000000000000
χ3222222-1-2-222-1-122-12-1-2-22-22-1-1-1-1-12211-2-21122-1-1-2-2-1-1-1-111-1-2-2211111111-1-1-1-100-2-20000111122-2000-1-1-1-111000000000000
χ3322222-1-2-2-2-2-1-122-12-122-2-22-1-1-111-2-2112211-2-2-1-1-2-21111-1-112-2211-1-1-1-11111-1-100000000−i3−i3i3i3000000i3−i3−i3i3i3−i3000000000000
χ3422222-1-2-2-2-2-1-122-12-122-2-22-1-1-111-2-2112211-2-2-1-1-2-21111-1-112-2211-1-1-1-11111-1-100000000i3i3−i3−i3000000−i3i3i3−i3−i3i3000000000000
χ3522222-1-2-2-2-2-1-122-12-12-222-2-1-1-111-2-211-2-2-1-12211-2-21111-11-122-211-1-111-1-1-1-11100000000−i3−i3i3i3000000i3−i3i3−i3−i3i3000000000000
χ3622222-1-2-2-2-2-1-122-12-12-222-2-1-1-111-2-211-2-2-1-12211-2-21111-11-122-211-1-111-1-1-1-11100000000i3i3−i3−i3000000−i3i3−i3i3i3−i3000000000000
χ372222-12222222-1-12-1-122222-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-10000000222000000-1-1-1-1-1-1000000
χ382222-12222222-1-12-1-122222-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20011110000000-2-2-2000000111111000000
χ392222-12222222-1-12-1-12-2-2-2-2-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-12-2-2-111-1-1-1-1111111112200-1-1-1-100000002-2-2000000-1-11111000000
χ402222-12222222-1-12-1-12-2-2-2-2-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-12-2-2-111-1-1-1-111111111-2-20011110000000-22200000011-1-1-1-1000000
χ412222-1222-2-222-1-12-1-1-222-2-2-1-1-1-2-21122-1-1-2-2-1-1-2-2-1-11111-222111-1-111-1-111-1-1110000−i3−i3i3i30000000000000000−i3i3−i3i3−i3i3000000
χ422222-1222-2-222-1-12-1-1-222-2-2-1-1-1-2-21122-1-1-2-2-1-1-2-2-1-11111-222111-1-111-1-111-1-1110000i3i3−i3−i30000000000000000i3−i3i3−i3i3−i3000000
χ432222-1222-2-222-1-12-1-1-2-2-222-1-1-1-2-2112211221122-1-11111-2-2-21-1-1-1-11111-1-111-1-10000−i3−i3i3i30000000000000000−i3i3i3−i3i3−i3000000
χ442222-1222-2-222-1-12-1-1-2-2-222-1-1-1-2-2112211221122-1-11111-2-2-21-1-1-1-11111-1-111-1-10000i3i3−i3−i30000000000000000i3−i3−i3i3−i3i3000000
χ452222-12-2-22222-1-12-1-1-22-22-2-1-1-122-1-1-2-2-1-12211-2-211-1-1-1-1-22-21-111111-1-1-1-111112200-1-1-1-10000000-22-200000011-1-111000000
χ462222-12-2-22222-1-12-1-1-22-22-2-1-1-122-1-1-2-2-1-12211-2-211-1-1-1-1-22-21-111111-1-1-1-11111-2-200111100000002-22000000-1-111-1-1000000
χ472222-12-2-22222-1-12-1-1-2-22-22-1-1-122-1-1-2-211-2-2-1-12211-1-1-1-1-2-2211-111111111-1-1-1-12200-1-1-1-10000000-2-220000001111-1-1000000
χ482222-12-2-22222-1-12-1-1-2-22-22-1-1-122-1-1-2-211-2-2-1-12211-1-1-1-1-2-2211-111111111-1-1-1-1-2-2001111000000022-2000000-1-1-1-111000000
χ492222-12-2-2-2-222-1-12-1-122-2-22-1-1-1-2-211-2-2-1-1-2-2112211111122-2-11-111-1-1-1-11111-1-10000−i3−i3i3i30000000000000000i3−i3−i3i3i3−i3000000
χ502222-12-2-2-2-222-1-12-1-122-2-22-1-1-1-2-211-2-2-1-1-2-2112211111122-2-11-111-1-1-1-11111-1-10000i3i3−i3−i30000000000000000−i3i3i3−i3−i3i3000000
χ512222-12-2-2-2-222-1-12-1-12-222-2-1-1-1-2-211-2-21122-1-1-2-21111112-22-1-1111-1-111-1-1-1-1110000−i3−i3i3i30000000000000000i3−i3i3−i3−i3i3000000
χ522222-12-2-2-2-222-1-12-1-12-222-2-1-1-1-2-211-2-21122-1-1-2-21111112-22-1-1111-1-111-1-1-1-1110000i3i3−i3−i30000000000000000−i3i3−i3i3i3−i3000000
χ5322-2-22200-222-22-2-2-22000002-2-22-22-200000000000022-2-20000000000000000002-22i−2i2-22-22i−2i2i−2i0000000000000000002i−2i0000
χ5422-2-22200-222-22-2-2-22000002-2-22-22-200000000000022-2-20000000000000000002-2−2i2i2-22-2−2i2i−2i2i000000000000000000−2i2i0000
χ5522-2-22200-222-22-2-2-22000002-2-22-22-200000000000022-2-2000000000000000000-222i−2i-22-222i−2i2i−2i000000000000000000−2i2i0000
χ5622-2-22200-222-22-2-2-22000002-2-22-22-200000000000022-2-2000000000000000000-22−2i2i-22-22−2i2i−2i2i0000000000000000002i−2i0000
χ574444-2-24444-2-2-2-2-2-2144444111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-214-4-4-4-4111-2-2-2-2-2-222222222-2-21111-222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-444-4-41112222-2-2-2-222-2-222-2-2-1-1-1-12-2-222211-1-111-1-111-1-1000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-4-4-4441112222-2-222-2-222-2-2-2-2-1-1-1-12222-2-211-1-1-1-111-1-111000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-44-44-4111-2-2-2-222-2-2-2-222222211112-222-22-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-4-44-44111-2-2-2-2222222-2-2-2-222111122-222-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2144-4-44111222222-2-22222-2-222-1-1-1-1-2-22-22-2-1-11111-1-1-1-111000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-214-444-411122222222-2-2-2-22222-1-1-1-1-22-2-2-22-1-111-1-11111-1-1000000000000000000000000000000000000
χ6544-4-444004-44-44-4-4-44000004-4-4-44-44000000000000-4-444000000000000000000000000000000000000000000000000000000
χ6644-4-44-2004-4-224-42-4-200000-2222-2-4400000000000022-2-20000000000000000000000000023−23−2323000000000000000000000000
χ6744-4-44-2004-4-224-42-4-200000-2222-2-4400000000000022-2-200000000000000000000000000−232323−23000000000000000000000000
χ6844-4-44-200-44-224-42-4-200000-222-224-4000000000000-2-222000000000000000000004i−4i0000−2i2i−2i2i000000000000000000000000
χ6944-4-44-200-44-224-42-4-200000-222-224-4000000000000-2-22200000000000000000000−4i4i00002i−2i2i−2i000000000000000000000000
χ7044-4-4-24004-44-4-22-42-200000-222-442-200000000000022-2-20000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ7144-4-4-24004-44-4-22-42-200000-222-442-200000000000022-2-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ7244-4-4-2400-444-4-22-42-200000-2224-4-22000000000000-2-2220000000000000000004-400-22-220000000000000000000000000000
χ7344-4-4-2400-444-4-22-42-200000-2224-4-22000000000000-2-222000000000000000000-44002-22-20000000000000000000000000000
χ744-44-4440000-44-44-4-4400000-44-40000000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ754-44-4440000-44-44-4-4400000-44-400000000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ764-4-44444-400-4-4-4-444400000-4-4400004-4000000004-400000000004-40000000000000000000000000000000000000000000000
χ774-4-4444-4400-4-4-4-444400000-4-440000-4400000000-440000000000-440000000000000000000000000000000000000000000000
χ784-4-444-24-40022-4-4-24-20000022-20000-2200−2i32i300−2i32i34-40000000000-220000−2i32i300−2i32i3000000000000000000000000000000000000
χ794-4-444-24-40022-4-4-24-20000022-20000-22002i3−2i3002i3−2i34-40000000000-2200002i3−2i3002i3−2i3000000000000000000000000000000000000
χ804-4-444-2-440022-4-4-24-20000022-200002-200−2i32i3002i3−2i3-4400000000002-20000−2i32i3002i3−2i3000000000000000000000000000000000000
χ814-4-444-2-440022-4-4-24-20000022-200002-2002i3−2i300−2i32i3-4400000000002-200002i3−2i300−2i32i3000000000000000000000000000000000000
χ824-4-44-244-400-4-4224-2-20000022-200004-423−230023−2300-220000000000-220023−230023−2300000000000000000000000000000000000000
χ834-4-44-244-400-4-4224-2-20000022-200004-4−232300−232300-220000000000-2200−232300−232300000000000000000000000000000000000000
χ844-4-44-24-4400-4-4224-2-20000022-20000-4423−2300−2323002-200000000002-20023−2300−232300000000000000000000000000000000000000
χ854-4-44-24-4400-4-4224-2-20000022-20000-44−23230023−23002-200000000002-200−23230023−2300000000000000000000000000000000000000
χ864-4-44-2-24-4002222-2-2100000-1-110000-2223−23−2i32i323−23−2i32i3-223i−3i3i−3i0000001-13i−3i−33i3−i3−33i3−i3000000000000000000000000000000000000
χ874-4-44-2-24-4002222-2-2100000-1-110000-2223−232i3−2i323−232i3−2i3-22−3i3i−3i3i0000001-1−3i3i−33−i3i3−33−i3i3000000000000000000000000000000000000
χ884-4-44-2-24-4002222-2-2100000-1-110000-22−2323−2i32i3−2323−2i32i3-22−3i3i−3i3i0000001-1−3i3i3−3i3−i33−3i3−i3000000000000000000000000000000000000
χ894-4-44-2-24-4002222-2-2100000-1-110000-22−23232i3−2i3−23232i3−2i3-223i−3i3i−3i0000001-13i−3i3−3−i3i33−3−i3i3000000000000000000000000000000000000
χ904-4-44-2-2-44002222-2-2100000-1-1100002-223−23−2i32i3−23232i3−2i32-23i−3i3i−3i000000-11−3i3i−33i3−i33−3−i3i3000000000000000000000000000000000000
χ914-4-44-2-2-44002222-2-2100000-1-1100002-223−232i3−2i3−2323−2i32i32-2−3i3i−3i3i000000-113i−3i−33−i3i33−3i3−i3000000000000000000000000000000000000
χ924-4-44-2-2-44002222-2-2100000-1-1100002-2−2323−2i32i323−232i3−2i32-2−3i3i−3i3i000000-113i−3i3−3i3−i3−33−i3i3000000000000000000000000000000000000
χ934-4-44-2-2-44002222-2-2100000-1-1100002-2−23232i3−2i323−23−2i32i32-23i−3i3i−3i000000-11−3i3i3−3−i3i3−33i3−i3000000000000000000000000000000000000
χ9488-8-8-4-4008-8-44-44442000002-2-24-44-4000000000000-2-222000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-88-44-44442000002-2-2-44-4400000000000022-2-2000000000000000000000000000000000000000000000000000000
χ968-88-88-400004-4-884-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-480000-884-4-84-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-400004-44-444200000-22-200000000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400004-44-444200000-22-20000000000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000

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