Finite Group Databasebeta

← Group #11895654

Character table — Group #11895654

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122233444466666634446661212121212121212121212121212121244444121212121212121212121212121212121212121244888812121212888824441212121212122424242444886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111-1-111111111-1-1-1-1111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-11-1-11111-1-111-1-1-1
χ611111111111111111-1-111111111-1-1-1-1111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-1-11-1-1-1-1-1-111-1-1111
χ711111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-111111111-1-1-1-11
χ811111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-11111-1
χ9111111-1-111111111111-1111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1111-1-1-1-1111111-11-11111-1-1-111-1-111-1-1-11-1
χ10111111-1-111111111111-1111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11-1-11111-1-1-1-1-111-1-1111-11
χ11111111-1-111111111111-1111-1-11111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111-111
χ12111111-1-111111111111-1111-1-11111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-111-1-11111-1-1-1-11-1-1-11111-1-111111-11-1-1-1-1111-1-11111-1-11-1-1
χ13111111-1-1111111111-1-1-1111-1-111-1-1-1-11-1-1-1-1-1-1111-1-11-111-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-11111111-11-11-1-1-11111-1-1-1-1-1-11-11
χ14111111-1-1111111111-1-1-1111-1-111-1-1-1-11-1-1-1-1-1-1111-1-11-111-1-1-11111-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-1-111-11-1-1-111-1-1111111-11-1
χ15111111-1-1111111111-1-1-1111-1-111-1-1-1-11-1-1-1-1-1-11-1-1111-111-1-1-11111-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-11-1-11-1111-1-111-1-111111-1-1
χ16111111-1-1111111111-1-1-1111-1-111-1-1-1-11-1-1-1-1-1-11-1-1111-111-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-11111-11-11-1111-1-1-1-111-1-1-1-1-111
χ1722222222-2-2222222200-222222-2-20000-2222222-222220-20000-200-2-2-2-200000000-2-20000222200000000-200-20000000000000
χ1822222222-2-2222222200-222222-2-20000-2222222-2-2-2-2-20-20000-200-2-2-2-200000000220000-2-2-2-20000000020020000000000000
χ19222222-2-2-2-22222222002222-2-2-2-20000-2-2-2-2-2-2-2-222-2-2020000200-2-222000000002-20000-2-22200000000-20020000000000000
χ20222222-2-2-2-22222222002222-2-2-2-20000-2-2-2-2-2-2-2-2-2-222020000200-2-22200000000-22000022-2-200000000200-20000000000000
χ2122222-12222-12-1-122-1222-1-1-1-1-1222222-122-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1002222000000002200000000-1-1-1-10000-1-10
χ2222222-12222-12-1-122-1222-1-1-1-1-1222222-122-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-2-20000000011110000110
χ2322222-12222-12-1-122-1-2-22-1-1-1-1-122-2-2-2-2-122-1-1-1-1-10000-2-111112-2-2-1-1-1-11111111100222200000000-2-200000000-1-1-1-10000110
χ2422222-12222-12-1-122-1-2-22-1-1-1-1-122-2-2-2-2-122-1-1-1-1-10000-2-111112-2-2-1-1-1-11111111100-2-2-2-200000000220000000011110000-1-10
χ2522222-1-2-222-12-1-122-122-2-1-1-111222222-1-2-21111-10000-2111-1-1-2-2-2-1-111-1-1-1-111110022-2-200000000-2200000000-1-11100001-10
χ2622222-1-2-222-12-1-122-122-2-1-1-111222222-1-2-21111-10000-2111-1-1-2-2-2-1-111-1-1-1-1111100-2-222000000002-20000000011-1-10000-110
χ2722222-1-2-222-12-1-122-1-2-2-2-1-1-11122-2-2-2-2-1-2-21111-1000021-1-111-222-1-1111111-1-1-1-10022-2-2000000002-200000000-1-1110000-110
χ2822222-1-2-222-12-1-122-1-2-2-2-1-1-11122-2-2-2-2-1-2-21111-1000021-1-111-222-1-1111111-1-1-1-100-2-22200000000-220000000011-1-100001-10
χ292222-1222222-122-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100000022-1-1-1-1-1-100000000000
χ302222-1222222-122-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200001111000000-2-211111100000000000
χ312222-1222222-122-1-1-1-2-22-1-1-122-1-111112-1-1-1-1-1-122222-22-2-2-2-2-111-1-1-1-111111111220000-1-1-1-1000000-2-2-111-11100000000000
χ322222-1222222-122-1-1-1-2-22-1-1-122-1-111112-1-1-1-1-1-12-2-2-2-2-22-2-2-2-2-111-1-1-1-111111111-2-200001111000000221-1-11-1-100000000000
χ332222-1222-2-22-122-1-1-100-2-1-1-12211−i3−i3i3i3-2-1-1-1-1-1-1-222220-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-1000000001−i3i31−i3i300000000000
χ342222-1222-2-22-122-1-1-100-2-1-1-12211−i3−i3i3i3-2-1-1-1-1-1-1-2-2-2-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3220000111100000000-1i3−i3-1i3−i300000000000
χ352222-1222-2-22-122-1-1-100-2-1-1-12211i3i3−i3−i3-2-1-1-1-1-1-1-222220-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-1000000001i3−i31i3−i300000000000
χ362222-1222-2-22-122-1-1-100-2-1-1-12211i3i3−i3−i3-2-1-1-1-1-1-1-2-2-2-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3220000111100000000-1−i3i3-1−i3i300000000000
χ372222-12-2-2222-122-1-1-122-2-1-1-1-2-2-1-1-1-1-1-12111111222-2-2-2-2-2-222111-1-111-1-1-1-11111-22000011-1-1000000-22-1-1-111100000000000
χ382222-12-2-2222-122-1-1-122-2-1-1-1-2-2-1-1-1-1-1-121111112-2-222-2-2-2-222111-1-111-1-1-1-111112-20000-1-1110000002-2111-1-1-100000000000
χ392222-12-2-2222-122-1-1-1-2-2-2-1-1-1-2-2-1-111112111111222-2-22-222-2-21-1-1-1-1111111-1-1-1-1-22000011-1-10000002-2-1111-1-100000000000
χ402222-12-2-2222-122-1-1-1-2-2-2-1-1-1-2-2-1-1111121111112-2-2222-222-2-21-1-1-1-1111111-1-1-1-12-20000-1-111000000-221-1-1-11100000000000
χ412222-12-2-2-2-22-122-1-1-1002-1-1-1-2-211−i3−i3i3i3-2111111-222-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2000011-1-1000000001−i3i3-1i3−i300000000000
χ422222-12-2-2-2-22-122-1-1-1002-1-1-1-2-211−i3−i3i3i3-2111111-2-2-222020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-220000-1-11100000000-1i3−i31−i3i300000000000
χ432222-12-2-2-2-22-122-1-1-1002-1-1-1-2-211i3i3−i3−i3-2111111-222-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2000011-1-1000000001i3−i3-1−i3i300000000000
χ442222-12-2-2-2-22-122-1-1-1002-1-1-1-2-211i3i3−i3−i3-2111111-2-2-222020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-220000-1-11100000000-1−i3i31i3−i300000000000
χ4522-2-22200-22-22-22-2-222-20-22-2002-22-22-2-20000002000000002-20002-2002-22-2000000000000002i2i−2i−2i000000000000002i−2i00000
χ4622-2-22200-22-22-22-2-222-20-22-2002-22-22-2-20000002000000002-20002-2002-22-200000000000000−2i−2i2i2i00000000000000−2i2i00000
χ4722-2-22200-22-22-22-2-22-220-22-2002-2-22-22-2000000200000000-220002-200-22-22000000000000002i2i−2i−2i00000000000000−2i2i00000
χ4822-2-22200-22-22-22-2-22-220-22-2002-2-22-22-2000000200000000-220002-200-22-2200000000000000−2i−2i2i2i000000000000002i−2i00000
χ492-22-2222i−2i00-2-22-2-222000-2-222i−2i00000002i−2i2i2i−2i−2i02-22i−2i000000000000000000000002−2−i2i22i−2i2-22−22−200000000002−2−i2i200−i2i2000
χ502-22-2222i−2i00-2-22-2-222000-2-222i−2i00000002i−2i2i2i−2i−2i02-22i−2i00000000000000000000000−22i2−i22i−2i2-2−22−220000000000−22i2−i200i2−i2000
χ512-22-2222i−2i00-2-22-2-222000-2-222i−2i00000002i−2i2i2i−2i−2i0-22−2i2i000000000000000000000002−2−i2i2−2i2i-22−22−2200000000002−2−i2i200i2−i2000
χ522-22-2222i−2i00-2-22-2-222000-2-222i−2i00000002i−2i2i2i−2i−2i0-22−2i2i00000000000000000000000−22i2−i2−2i2i-222−22−20000000000−22i2−i200−i2i2000
χ532-22-222−2i2i00-2-22-2-222000-2-22−2i2i0000000−2i2i−2i−2i2i2i02-2−2i2i000000000000000000000002−2i2−i2−2i2i2-22−22−200000000002−2i2−i200i2−i2000
χ542-22-222−2i2i00-2-22-2-222000-2-22−2i2i0000000−2i2i−2i−2i2i2i02-2−2i2i00000000000000000000000−22−i2i2−2i2i2-2−22−220000000000−22−i2i200−i2i2000
χ552-22-222−2i2i00-2-22-2-222000-2-22−2i2i0000000−2i2i−2i−2i2i2i0-222i−2i000000000000000000000002−2i2−i22i−2i-22−22−2200000000002−2i2−i200−i2i2000
χ562-22-222−2i2i00-2-22-2-222000-2-22−2i2i0000000−2i2i−2i−2i2i2i0-222i−2i00000000000000000000000−22−i2i22i−2i-222−22−20000000000−22−i2i200i2−i2000
χ5744444-244-4-4-24-2-244-200-4-2-2-2-2-2-4-40000244-2-2-2-220000020000-40022220000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-24-2-244-2004-2-2-222-4-400002-4-42222200000-2000040022-2-20000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-200004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-22222-2-2-21111-20000-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2100-4111-2-222−2i3−2i32i32i32-2-21111200000200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2100-4111-2-2222i32i3−2i3−2i32-2-211112000002000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2144-411122-2-2-2-2-2-2-222-1-1-1-1-20000-4222-2-222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-411122-2-22222-222-1-1-1-1-2000042-2-2222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-210041112222−2i3−2i32i32i3222-1-1-1-1200000-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2100411122222i32i3−2i3−2i3222-1-1-1-1200000-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-444004-4-44-44-4-44000-44-400-4400004000000-40000000000000-44000000000000000000000000000000000000000000000
χ6844-4-44-2004-4242-2-4-4-20002-2200-440000-2000000200000023−23000002-200000023−2323−2300000000000000000000000000000000000
χ6944-4-44-2004-4242-2-4-4-20002-2200-440000-20000002000000−2323000002-2000000−2323−232300000000000000000000000000000000000
χ7044-4-44-200-44242-2-4-4-24-402-22004-44-44-42000000-200000000-22000-2200-22-22000000000000000000000000000000000000000
χ7144-4-44-200-44242-2-4-4-2-4402-22004-4-44-442000000-2000000002-2000-22002-22-2000000000000000000000000000000000000000
χ7244-4-4-24004-4-4-2-4422-20002-22002-2−2i32i32i3−2i34000000-400000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000
χ7344-4-4-24004-4-4-2-4422-20002-22002-22i3−2i3−2i32i34000000-400000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000
χ7444-4-4-2400-44-4-2-4422-24-402-2200-22-22-22-40000004000000004-4000-2200-22-22000000000000000000000000000000000000000
χ7544-4-4-2400-44-4-2-4422-2-4402-2200-222-22-2-4000000400000000-44000-22002-22-2000000000000000000000000000000000000000
χ7644-4-4-2-2004-42-22-2221000-11-1002-2−2i32i32i3−2i3-2003i−3i3i−3i200000023−2300000-113i−3ii3−i3−i3i3−33−3300000000000000000000000000000000000
χ7744-4-4-2-2004-42-22-2221000-11-1002-2−2i32i32i3−2i3-200−3i3i−3i3i2000000−232300000-11−3i3ii3−i3−i3i33−33−300000000000000000000000000000000000
χ7844-4-4-2-2004-42-22-2221000-11-1002-22i3−2i3−2i32i3-2003i−3i3i−3i2000000−232300000-113i−3i−i3i3i3−i33−33−300000000000000000000000000000000000
χ7944-4-4-2-2004-42-22-2221000-11-1002-22i3−2i3−2i32i3-200−3i3i−3i3i200000023−2300000-11−3i3i−i3i3i3−i3−33−3300000000000000000000000000000000000
χ8044-4-4-2-200-442-22-22214-40-11-100-22-22-222003i−3i3i−3i-200000000-220001-1−3i3i1-11-1−3i3i3i−3i00000000000000000000000000000000000
χ8144-4-4-2-200-442-22-22214-40-11-100-22-22-22200−3i3i−3i3i-200000000-220001-13i−3i1-11-13i−3i−3i3i00000000000000000000000000000000000
χ8244-4-4-2-200-442-22-2221-440-11-100-222-22-22003i−3i3i−3i-2000000002-20001-1−3i3i-11-113i−3i−3i3i00000000000000000000000000000000000
χ8344-4-4-2-200-442-22-2221-440-11-100-222-22-2200−3i3i−3i3i-2000000002-20001-13i−3i-11-11−3i3i3i−3i00000000000000000000000000000000000
χ844-44-44-24i−4i002-4-22-44-200022-2−2i2i00000004i−4i−2i−2i2i2i000000000000000000000000000022−22−2i22i2000000000000000000−22i2−i20000000
χ854-44-44-24i−4i002-4-22-44-200022-2−2i2i00000004i−4i−2i−2i2i2i0000000000000000000000000000−22222i2−2i20000000000000000002−2−i2i20000000
χ864-44-44-2−4i4i002-4-22-44-200022-22i−2i0000000−4i4i2i2i−2i−2i000000000000000000000000000022−222i2−2i2000000000000000000−22−i2i20000000
χ874-44-44-2−4i4i002-4-22-44-200022-22i−2i0000000−4i4i2i2i−2i−2i0000000000000000000000000000−2222−2i22i20000000000000000002−2i2−i20000000
χ884-44-4-244i−4i00-424-42-2-200022-24i−4i0000000−2i2i−2i−2i2i2i04-44i−4i000000000000000000000000000−2i2i-220000000000000000000000000
χ894-44-4-244i−4i00-424-42-2-200022-24i−4i0000000−2i2i−2i−2i2i2i0-44−4i4i0000000000000000000000000002i−2i2-20000000000000000000000000
χ904-44-4-24−4i4i00-424-42-2-200022-2−4i4i00000002i−2i2i2i−2i−2i04-4−4i4i0000000000000000000000000002i−2i-220000000000000000000000000
χ914-44-4-24−4i4i00-424-42-2-200022-2−4i4i00000002i−2i2i2i−2i−2i0-444i−4i000000000000000000000000000−2i2i2-20000000000000000000000000
χ924-4-444400004-4-4-44-440004-4-4000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ934-4-444400004-4-4-44-440004-4-40000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ948-88-8-4-48i−8i0044-444-42000-2-22−4i4i0000000−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4−8i8i0044-444-42000-2-224i−4i00000004i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ968-8-888-40000-4-8448-8-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88-48000084-8-8-44-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-40000-4444-4420002-2-2000000000006-6-660000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-40000-4444-4420002-2-200000000000-666-60000000000000000000000000000000000000000000000000000000000000

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