Finite Group Databasebeta

← Group #11888045

Character table — Group #11888045

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666222366666661212121212121212121212124444466666666661212121212121212121224888812121212888844446121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1
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
χ511111111111111111-1-11-1-1-1-11111111111111111111-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ611111111111111111-1-11-1-1-1-11111111111111111111-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-1111
χ711111111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-11111111111-1-1-1-11
χ811111111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-111111111-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-11-111-1-1-1-111-1-1-1-111-1-11-1-1-11111-1-1-1-111-111
χ10111111-1-111111111-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-11-1-1-111-1-11111111-1-111-1-1-111-1-11111-1-11-1-1
χ11111111-1-111111111-11111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111-1-11111-111-1-1111-1-111-1-111-1-1-11-1
χ12111111-1-111111111-11111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1111-11
χ13111111-1-111111111-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-111111-1-1
χ14111111-1-111111111-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1111111-111-11-111-1-1-1-111-1-1-1-1-111
χ15111111-1-111111111-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-1-111111-1-11-11-1-11111-1-1-1-1-1-11-11
χ16111111-1-111111111-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-11111111111-11-1-11111-1-1-1-1-1-111-1-1-11-1-111-1-1111111-11-1
χ1722222222-2-2222222-2002000022222-2-2222222-2-222220-200-2-2-200000000-2-20000-2-20000222200000000-2-2000000000000000
χ1822222222-2-2222222-2002000022222-2-2222222-2-2-2-2-2-20-200-2-2-200000000-2-20000220000-2-2-2-20000000022000000000000000
χ19222222-2-2-2-222222220020000222-2-2-2-2-2-2-2-2-2-2-2-222-2-2020022200000000-2-20000-220000-2-22200000000-22000000000000000
χ20222222-2-2-2-222222220020000222-2-2-2-2-2-2-2-2-2-2-2-2-2-222020022200000000-2-200002-2000022-2-2000000002-2000000000000000
χ2122222-122222-12-12-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000-1-1-1-100002020-1-1-1-1-1-100000000000
χ2222222-122222-12-12-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2000011110000-20-2011111100000000000
χ2322222-122222-12-12-12-2-2-11111-1-1-122-1-1-1-1-1-1-1-1222222-22-2-2-1-1-11111-2-211-1-11111220000-1-1-1-10000-20-20-1-1111100000000000
χ2422222-122222-12-12-12-2-2-11111-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-22-2-2-1-1-11111-2-211-1-11111-2-2000011110000202011-1-1-1-100000000000
χ2522222-122-2-22-12-12-1-200-1−i3−i3i3i3-1-1-12211-1-1-1-1-1-1-2-222220-200111−i3−i3i3i300−i3i311−i3−i3i3i3-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ2622222-122-2-22-12-12-1-200-1−i3−i3i3i3-1-1-12211-1-1-1-1-1-1-2-2-2-2-2-20-200111−i3−i3i3i300−i3i311−i3−i3i3i3220000111100000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-22-12-12-1-200-1i3i3−i3−i3-1-1-12211-1-1-1-1-1-1-2-222220-200111i3i3−i3−i300i3−i311i3i3−i3−i3-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ2822222-122-2-22-12-12-1-200-1i3i3−i3−i3-1-1-12211-1-1-1-1-1-1-2-2-2-2-2-20-200111i3i3−i3−i300i3−i311i3i3−i3−i3220000111100000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-2222-12-12-1-222-1-1-1-1-1-1-1-1-2-2-1-11111112222-2-2-2-222111-1-1-1-1-2-211-1-111112-2000011-1-1000020-20-1111-1-100000000000
χ3022222-1-2-2222-12-12-1-222-1-1-1-1-1-1-1-1-2-2-1-111111122-2-222-2-222111-1-1-1-1-2-211-1-11111-220000-1-1110000-20201-1-1-11100000000000
χ3122222-1-2-2222-12-12-1-2-2-2-11111-1-1-1-2-2-1-11111112222-2-22-2-2-2111111122-1-1-1-1-1-1-1-12-2000011-1-10000-2020-11-1-11100000000000
χ3222222-1-2-2222-12-12-1-2-2-2-11111-1-1-1-2-2-1-111111122-2-2222-2-2-2111111122-1-1-1-1-1-1-1-1-220000-1-111000020-201-111-1-100000000000
χ3322222-1-2-2-2-22-12-12-1200-1−i3−i3i3i3-1-1-1-2-211111111-2-222-2-20200-1-1-1−i3−i3i3i300i3−i311i3i3−i3−i3-22000011-1-1000000001-1i3−i3−i3i300000000000
χ3422222-1-2-2-2-22-12-12-1200-1−i3−i3i3i3-1-1-1-2-211111111-2-2-2-2220200-1-1-1−i3−i3i3i300i3−i311i3i3−i3−i32-20000-1-11100000000-11−i3i3i3−i300000000000
χ3522222-1-2-2-2-22-12-12-1200-1i3i3−i3−i3-1-1-1-2-211111111-2-222-2-20200-1-1-1i3i3−i3−i300−i3i311−i3−i3i3i3-22000011-1-1000000001-1−i3i3i3−i300000000000
χ3622222-1-2-2-2-22-12-12-1200-1i3i3−i3−i3-1-1-1-2-211111111-2-2-2-2220200-1-1-1i3i3−i3−i300−i3i311−i3−i3i3i32-20000-1-11100000000-11i3−i3−i3i300000000000
χ372222-122222-12-12-12222-12222-1-1-1-1-12222-1-1-1-1-1-100002-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-1002222000000000202000000-1-1-1-10000-1-10
χ382222-122222-12-12-12222-12222-1-1-1-1-12222-1-1-1-1-1-100002-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-2000000000-20-200000011110000110
χ392222-122222-12-12-122-2-2-1-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-10000-2-1112-1-1111111-2-2-1-11111002222000000000-20-2000000-1-1-1-10000110
χ402222-122222-12-12-122-2-2-1-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-10000-2-1112-1-1111111-2-2-1-1111100-2-2-2-200000000020200000011110000-1-10
χ412222-12-2-222-12-12-12-222-12222-1-1-11122-2-21111-1-10000-21-1-1-211-1-1-1-111-2-2-1-111110022-2-200000000020-2000000-1-11100001-10
χ422222-12-2-222-12-12-12-222-12222-1-1-11122-2-21111-1-10000-21-1-1-211-1-1-1-111-2-2-1-1111100-2-222000000000-20200000011-1-10000-110
χ432222-12-2-222-12-12-12-2-2-2-1-2-2-2-2-1-1-11122-2-21111-1-100002111-2111111-1-122-1-1-1-1-1-10022-2-2000000000-202000000-1-1110000-110
χ442222-12-2-222-12-12-12-2-2-2-1-2-2-2-2-1-1-11122-2-21111-1-100002111-2111111-1-122-1-1-1-1-1-100-2-22200000000020-200000011-1-100001-10
χ4522-2-222002-2-2-2-2-22202-222-22-2-2-22002-20000002-20000002-20002-22-200002-2000000000000002i2i−2i−2i000000000000002i−2i00000
χ4622-2-222002-2-2-2-2-22202-222-22-2-2-22002-20000002-20000002-20002-22-200002-200000000000000−2i−2i2i2i00000000000000−2i2i00000
χ4722-2-222002-2-2-2-2-2220-222-22-22-2-22002-20000002-2000000-22000-22-2200002-2000000000000002i2i−2i−2i00000000000000−2i2i00000
χ4822-2-222002-2-2-2-2-2220-222-22-22-2-22002-20000002-2000000-22000-22-2200002-200000000000000−2i−2i2i2i000000000000002i−2i00000
χ492-2-22222i−2i00-2-222-2-2000200002-2-22i−2i002i−2i2i2i−2i−2i002i−2i2-200000000000000000000000−i2i22−22-22i−2i−i2i2−i2i20000000000−i2i22−2002−2000
χ502-2-22222i−2i00-2-222-2-2000200002-2-22i−2i002i−2i2i2i−2i−2i002i−2i2-200000000000000000000000i2−i2−222-22i−2ii2−i2i2−i20000000000i2−i2−2200−22000
χ512-2-22222i−2i00-2-222-2-2000200002-2-22i−2i002i−2i2i2i−2i−2i00−2i2i-2200000000000000000000000−i2i22−2-22−2i2ii2−i2i2−i20000000000−i2i22−200−22000
χ522-2-22222i−2i00-2-222-2-2000200002-2-22i−2i002i−2i2i2i−2i−2i00−2i2i-2200000000000000000000000i2−i2−22-22−2i2i−i2i2−i2i20000000000i2−i2−22002−2000
χ532-2-2222−2i2i00-2-222-2-2000200002-2-2−2i2i00−2i2i−2i−2i2i2i002i−2i-2200000000000000000000000−i2i2−22-222i−2ii2−i2i2−i20000000000−i2i2−22002−2000
χ542-2-2222−2i2i00-2-222-2-2000200002-2-2−2i2i00−2i2i−2i−2i2i2i002i−2i-2200000000000000000000000i2−i22−2-222i−2i−i2i2−i2i20000000000i2−i22−200−22000
χ552-2-2222−2i2i00-2-222-2-2000200002-2-2−2i2i00−2i2i−2i−2i2i2i00−2i2i2-200000000000000000000000−i2i2−222-2−2i2i−i2i2−i2i20000000000−i2i2−2200−22000
χ562-2-2222−2i2i00-2-222-2-2000200002-2-2−2i2i00−2i2i−2i−2i2i2i00−2i2i2-200000000000000000000000i2−i22−22-2−2i2ii2−i2i2−i20000000000i2−i22−2002−2000
χ574444-2444-4-4-24-24-24-400-20000-2-2-2-2-2-4-444-2-2-2-22200000200-4220000000022000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-24400-20000-2-2-222-4-4-4-422222200000-2004-2-20000000022000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-24441-2-2-2-2111-2-2-2-2-2-21111-2-200004-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-24-4-412222111-2-2-2-2-2-21111-2-20000-4-222-211-1-1-1-1222211-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-4001−2i3−2i32i32i3111-2-222-2-2111122000002002-1-1i3i3−i3−i300−2i32i3-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-40012i32i3−2i3−2i3111-2-222-2-2111122000002002-1-1−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2-4441-2-2-2-211122-2-222-1-1-1-1-2-20000-42-2-22-1-11111222211-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-4-4-41222211122-2-222-1-1-1-1-2-2000042222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-24001−2i3−2i32i32i3111222222-1-1-1-12200000-200-211i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-240012i32i3−2i3−2i3111222222-1-1-1-12200000-200-211−i3−i3i3i300−2i32i3-1-1i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44400-44-4-4-4-44400040000-4-4400-44000000-440000000000000000000-44000000000000000000000000000000000000000
χ6844-4-44-2004-4-42-424-204-4-2-22-2222-200-220000004-40000004-4000-22-220000-22000000000000000000000000000000000000000
χ6944-4-44-2004-4-42-424-20-44-22-22-222-200-220000004-4000000-440002-22-20000-22000000000000000000000000000000000000000
χ7044-4-44-200-44-42-424-2000-2−2i32i32i3−2i322-2002-2000000-4400000000000−2i32i32i3−2i300002-2000000000000000000000000000000000000000
χ7144-4-44-200-44-42-424-2000-22i3−2i3−2i32i322-2002-2000000-44000000000002i3−2i3−2i32i300002-2000000000000000000000000000000000000000
χ7244-4-4-24004-42-42-4-2404-4-24-44-422-2004-4000000-22000000-22000-22-220000-22000000000000000000000000000000000000000
χ7344-4-4-24004-42-42-4-240-44-2-44-4422-2004-4000000-220000002-20002-22-20000-22000000000000000000000000000000000000000
χ7444-4-4-2400-442-42-4-24000-2000022-200-440000002-2000000000000000−2i32i3002-2−2i32i3−2i32i300000000000000000000000000000000000
χ7544-4-4-2400-442-42-4-24000-2000022-200-440000002-20000000000000002i3−2i3002-22i3−2i32i3−2i300000000000000000000000000000000000
χ7644-4-4-2-2004-42222-2-204-41-22-22-1-1100-22003-33-3-22000000-2203-31-11-100001-13-3-3300000000000000000000000000000000000
χ7744-4-4-2-2004-42222-2-204-41-22-22-1-1100-2200-33-33-22000000-220-331-11-100001-1-333-300000000000000000000000000000000000
χ7844-4-4-2-2004-42222-2-20-4412-22-2-1-1100-22003-33-3-220000002-203-3-11-1100001-1-333-300000000000000000000000000000000000
χ7944-4-4-2-2004-42222-2-20-4412-22-2-1-1100-2200-33-33-220000002-20-33-11-1100001-13-3-3300000000000000000000000000000000000
χ8044-4-4-2-200-442222-2-20001−2i32i32i3−2i3-1-11002-2003-33-32-2000000000-33i3−i3−i3i32i3−2i300-11−i3i3−i3i300000000000000000000000000000000000
χ8144-4-4-2-200-442222-2-20001−2i32i32i3−2i3-1-11002-200-33-332-20000000003-3i3−i3−i3i3−2i32i300-11i3−i3i3−i300000000000000000000000000000000000
χ8244-4-4-2-200-442222-2-200012i3−2i3−2i32i3-1-11002-2003-33-32-2000000000-33−i3i3i3−i3−2i32i300-11i3−i3i3−i300000000000000000000000000000000000
χ8344-4-4-2-200-442222-2-200012i3−2i3−2i32i3-1-11002-200-33-332-20000000003-3−i3i3i3−i32i3−2i300-11−i3i3−i3i300000000000000000000000000000000000
χ844-44-444000044-4-4-4-400040000-44-40000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ854-44-444000044-4-4-4-400040000-44-400000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ864-4-444-24i−4i00-424-2-42000-20000-2224i−4i00−2i2i−2i−2i2i2i004i−4i4-4000000000000000000000000000-22−2i2i0000000000000000000000000
χ874-4-444-24i−4i00-424-2-42000-20000-2224i−4i00−2i2i−2i−2i2i2i00−4i4i-440000000000000000000000000002-22i−2i0000000000000000000000000
χ884-4-444-2−4i4i00-424-2-42000-20000-222−4i4i002i−2i2i2i−2i−2i004i−4i-440000000000000000000000000002-2−2i2i0000000000000000000000000
χ894-4-444-2−4i4i00-424-2-42000-20000-222−4i4i002i−2i2i2i−2i−2i00−4i4i4-4000000000000000000000000000-222i−2i0000000000000000000000000
χ904-4-44-244i−4i002-4-242-4000-20000-222−2i2i004i−4i−2i−2i2i2i00000000000000000000000000000−2i22i222−22000000000000000000i2−i2−220000000
χ914-4-44-244i−4i002-4-242-4000-20000-222−2i2i004i−4i−2i−2i2i2i000000000000000000000000000002i2−2i2−2222000000000000000000−i2i22−20000000
χ924-4-44-24−4i4i002-4-242-4000-20000-2222i−2i00−4i4i2i2i−2i−2i00000000000000000000000000000−2i22i2−2222000000000000000000i2−i22−20000000
χ934-4-44-24−4i4i002-4-242-4000-20000-2222i−2i00−4i4i2i2i−2i−2i000000000000000000000000000002i2−2i222−22000000000000000000−i2i2−220000000
χ948-88-88-400008-4-84-84000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-480000-484-84-8000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40000-4-4444400020000-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-40000-4-4444400020000-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48i−8i0044-4-444000200002-2-2−4i4i00−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4−8i8i0044-4-444000200002-2-24i−4i004i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000

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