Finite Group Databasebeta

← Group #11878728

Character table — Group #11878728

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order12222233446666666666346666666661212121212124444444412121212121212121212121212121212121212121248888121212121212121224441212121224242424888861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1111111-1-11-1-111-1-111-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ101111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1111111-1-11-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-11-1111-1-1-1-111-1-111-11-11
χ111111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ121111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1111111-1-1-1-11-11-1-1-111-1-111-1-1111-11-1
χ131111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1-111-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1111-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1111-1-11
χ141111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1-111-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-111-1
χ151111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1-111-1-1-1-111-11-1-1-111-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-11111-11-1111-1-111-1-1-1-111-111-1
χ161111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1-111-1-1-1-111-11-1-1-111-1-11111-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-11-1-11
χ1722222222-2-222222222222-2222222222-2-2-2-2-2-222-2-2-2-200-200000000-2-2-2-2000000002000022-2-222-2-200000000000000000000
χ1822222222-2-222222222222-2222222222-2-2-2-2-2-2-2-2222200-200000000-2-2-2-200000000-20000-2-222-2-22200000000000000000000
χ192222222-1222222-122-1-12-12-1-1-1-1-1-1-1-1-12222-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1022220000000020020000-1-1-1-10000-1-100
χ202222222-1222222-122-1-12-12-1-1-1-1-1-1-1-1-12222-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000-200-20000111100001100
χ212222222-1222222-122-1-12-12-1-1-1-1-1-1-1-1-12222-1-1000000-2-2-11111-2-2-2-2-1-1-1-1111111110222200000000-200-20000-1-1-1-100001100
χ222222222-1222222-122-1-12-12-1-1-1-1-1-1-1-1-12222-1-1000000-2-2-11111-2-2-2-2-1-1-1-1111111110-2-2-2-2000000002002000011110000-1-100
χ23222222-1222-1-1-1-12-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-10220-1-1-1-1000000000000
χ24222222-1222-1-1-1-12-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-122222222-2-22-2-2-2-21111-1-1-1-11111111120000-1-1-1-1-1-1-1-10-2-201111000000000000
χ25222222-1222-1-1-1-12-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20000111111110-2-201111000000000000
χ26222222-1222-1-1-1-12-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-22-2-2-2-21111-1-1-1-111111111-20000111111110220-1-1-1-1000000000000
χ27222222-12-2-2-1-1-1-12-1-122-1-1-222-1-1-1-1-1-1-11111-2-222-2-2-2-200-20000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i320000-1-111-1-1110000−i3i3−i3i3000000000000
χ28222222-12-2-2-1-1-1-12-1-122-1-1-222-1-1-1-1-1-1-11111-2-222-2-2-2-200-20000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i320000-1-111-1-1110000i3−i3i3−i3000000000000
χ29222222-12-2-2-1-1-1-12-1-122-1-1-222-1-1-1-1-1-1-11111-2-2-2-2222200-20000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-2000011-1-111-1-10000i3−i3i3−i3000000000000
χ30222222-12-2-2-1-1-1-12-1-122-1-1-222-1-1-1-1-1-1-11111-2-2-2-2222200-20000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-2000011-1-111-1-10000−i3i3−i3i3000000000000
χ312222-2-222-2-2-2-2-2-222222222-2-222-2-2-2-22-2-222-2-222-2-22200200000000-2-22200000000-2000022-2-2-2-22200000000000000000000
χ322222-2-222-2-2-2-2-2-222222222-2-222-2-2-2-22-2-222-2-2-2-222-2-200200000000-2-2220000000020000-2-22222-2-200000000000000000000
χ332222-2-22-122-2-2-2-2-122-1-12-1-211-1-11111-122-2-2-1-10000002-21-1-11122-2-2-1-111-1-1-1-11111022-2-200000000200-20000-1-1110000-1100
χ342222-2-22-122-2-2-2-2-122-1-12-1-211-1-11111-122-2-2-1-10000002-21-1-11122-2-2-1-111-1-1-1-111110-2-22200000000-2002000011-1-100001-100
χ352222-2-22-122-2-2-2-2-122-1-12-1-211-1-11111-122-2-2-1-1000000-22111-1-1-2-222-1-1111111-1-1-1-1022-2-200000000-20020000-1-11100001-100
χ362222-2-22-122-2-2-2-2-122-1-12-1-211-1-11111-122-2-2-1-1000000-22111-1-1-2-222-1-1111111-1-1-1-10-2-22200000000200-2000011-1-10000-1100
χ372222-2-2-122211112-1-122-1-1-2-2-2-1-11111-1-1-111222222-2-22-2-222-2-2-1-111-1-111-1-1-1-11111-20000-1-1-1-1111102-20-1-111000000000000
χ382222-2-2-122211112-1-122-1-1-2-2-2-1-11111-1-1-111222222-2-2-22-2-2-22211-1-1-1-1111111-1-1-1-1-20000-1-1-1-111110-22011-1-1000000000000
χ392222-2-2-122211112-1-122-1-1-2-2-2-1-11111-1-1-11122-2-2-2-2222-2-222-2-2-1-111-1-111-1-1-1-11111200001111-1-1-1-10-22011-1-1000000000000
χ402222-2-2-122211112-1-122-1-1-2-2-2-1-11111-1-1-11122-2-2-2-222-22-2-2-22211-1-1-1-1111111-1-1-1-1200001111-1-1-1-102-20-1-111000000000000
χ412222-2-2-12-2-211112-1-122-1-12-2-2-1-11111-111-1-1-2-222-2-2220020000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-20000-1-11111-1-10000−i3i3i3−i3000000000000
χ422222-2-2-12-2-211112-1-122-1-12-2-2-1-11111-111-1-1-2-222-2-2220020000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-20000-1-11111-1-10000i3−i3−i3i3000000000000
χ432222-2-2-12-2-211112-1-122-1-12-2-2-1-11111-111-1-1-2-2-2-222-2-20020000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i32000011-1-1-1-1110000i3−i3−i3i3000000000000
χ442222-2-2-12-2-211112-1-122-1-12-2-2-1-11111-111-1-1-2-2-2-222-2-20020000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i32000011-1-1-1-1110000−i3i3i3−i3000000000000
χ452-2-222-2220022-2-2-22-22-2-2202-22-222-2-2-2000000002-22-2000000000000000000000000−i2i2−i2i2002-2002-200000000−i2i2−i2i2−i2i2−i2i20000
χ462-2-222-2220022-2-2-22-22-2-2202-22-222-2-2-2000000002-22-2000000000000000000000000i2−i2i2−i2002-2002-200000000i2−i2i2−i2i2−i2i2−i20000
χ472-2-222-2220022-2-2-22-22-2-2202-22-222-2-2-200000000-22-22000000000000000000000000−i2i2−i2i200-2200-2200000000−i2i2−i2i2i2−i2i2−i20000
χ482-2-222-2220022-2-2-22-22-2-2202-22-222-2-2-200000000-22-22000000000000000000000000i2−i2i2−i200-2200-2200000000i2−i2i2−i2−i2i2−i2i20000
χ492-2-22-222200-2-222-22-22-2-220-222-2-2-222-2000000002-2-22000000000000000000000000−i2i2i2−i2002-200-2200000000−i2i2i2−i2−i2i2i2−i20000
χ502-2-22-222200-2-222-22-22-2-220-222-2-2-222-2000000002-2-22000000000000000000000000i2−i2−i2i2002-200-2200000000i2−i2−i2i2i2−i2−i2i20000
χ512-2-22-222200-2-222-22-22-2-220-222-2-2-222-200000000-222-2000000000000000000000000−i2i2i2−i200-22002-200000000−i2i2i2−i2i2−i2−i2i20000
χ522-2-22-222200-2-222-22-22-2-220-222-2-2-222-200000000-222-2000000000000000000000000i2−i2−i2i200-22002-200000000i2−i2−i2i2−i2i2i2−i20000
χ534444444-2-4-44444-244-2-24-2-4-2-2-2-2-2-2-2-2-2-4-4-4-42200000000200000000222200000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-2-2-2-2-2-200000044-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-2-2-2-2-2-2000000-4-4-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-211111112222220000000020000−2i32i3−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-2111111122222200000000200002i3−2i32i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ584444-4-44-2-4-4-4-4-4-4-244-2-24-2422-2-22222-2-4-4442200000000-20000000022-2-200000000000000000000000000000000000000000
χ594444-4-4-2-2442222-2-2-2-2-2-21-42211-1-1-1-11-2-222-2-20000004-42-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000
χ604444-4-4-2-2442222-2-2-2-2-2-21-42211-1-1-1-11-2-222-2-2000000-44222-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000
χ614444-4-4-2-2-4-42222-2-2-2-2-2-2142211-1-1-1-1122-2-22200000000-20000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ624444-4-4-2-2-4-42222-2-2-2-2-2-2142211-1-1-1-1122-2-22200000000-200002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ6344-4-400440000004-44-4-4-44000-440000-40000004-4000000000000000000000000000000004-400000000000000000000000000
χ6444-4-400440000004-44-4-4-44000-440000-4000000-4400000000000000000000000000000000-4400000000000000000000000000
χ6544-4-400-2400−2i32i3−2i32i342-2-4-42-20002-2−2i32i3−2i32i320000004-400000000000000000000000000000000-2200−2i32i30000000000000000000000
χ6644-4-400-2400−2i32i3−2i32i342-2-4-42-20002-2−2i32i3−2i32i32000000-44000000000000000000000000000000002-2002i3−2i30000000000000000000000
χ6744-4-400-24002i3−2i32i3−2i342-2-4-42-20002-22i3−2i32i3−2i320000004-400000000000000000000000000000000-22002i3−2i30000000000000000000000
χ6844-4-400-24002i3−2i32i3−2i342-2-4-42-20002-22i3−2i32i3−2i32000000-44000000000000000000000000000000002-200−2i32i30000000000000000000000
χ694-44-400444-40000-4-4-4-4444000-4-4000044-4004-4000000000000000004-40000000000000000000000000000000000000000000
χ704-44-40044-440000-4-4-4-4444000-4-400004-4400-4400000000000000000-440000000000000000000000000000000000000000000
χ714-44-4004-24-400002-4-42-24-2000220000-24-400-22000000000−2i32i3000000-2200−2i32i3−2i32i30000000000000000000000000000000000000
χ724-44-4004-24-400002-4-42-24-2000220000-24-400-220000000002i3−2i3000000-22002i3−2i32i3−2i30000000000000000000000000000000000000
χ734-44-4004-2-4400002-4-42-24-2000220000-2-44002-200000000000−2i32i300002-2000000−2i32i3−2i32i3000000000000000000000000000000000
χ744-44-4004-2-4400002-4-42-24-2000220000-2-44002-2000000000002i3−2i300002-20000002i3−2i32i3−2i3000000000000000000000000000000000
χ754-44-400-244-4−2i32i32i3−2i3-422-44-2-200022−2i32i32i3−2i3-2-22−2i32i34-400000000000000000-22−2i32i300000000000000000000000000000000000000000
χ764-44-400-244-42i3−2i3−2i32i3-422-44-2-2000222i3−2i3−2i32i3-2-222i3−2i34-400000000000000000-222i3−2i300000000000000000000000000000000000000000
χ774-44-400-24-44−2i32i32i3−2i3-422-44-2-200022−2i32i32i3−2i3-22-22i3−2i3-44000000000000000002-22i3−2i300000000000000000000000000000000000000000
χ784-44-400-24-442i3−2i3−2i32i3-422-44-2-2000222i3−2i3−2i32i3-22-2−2i32i3-44000000000000000002-2−2i32i300000000000000000000000000000000000000000
χ794-44-400-2-24-4−2i32i32i3−2i32222-2-21000-1-1i3−i3−i3i31-22−2i32i3-22000000000−2i32i30000001-1i3−i3i3−i3i3−i33-3-33000000000000000000000000000000000
χ804-44-400-2-24-4−2i32i32i3−2i32222-2-21000-1-1i3−i3−i3i31-22−2i32i3-220000000002i3−2i30000001-1i3−i3−i3i3−i3i3-333-3000000000000000000000000000000000
χ814-44-400-2-24-42i3−2i3−2i32i32222-2-21000-1-1−i3i3i3−i31-222i3−2i3-22000000000−2i32i30000001-1−i3i3i3−i3i3−i3-333-3000000000000000000000000000000000
χ824-44-400-2-24-42i3−2i3−2i32i32222-2-21000-1-1−i3i3i3−i31-222i3−2i3-220000000002i3−2i30000001-1−i3i3−i3i3−i3i33-3-33000000000000000000000000000000000
χ834-44-400-2-2-44−2i32i32i3−2i32222-2-21000-1-1i3−i3−i3i312-22i3−2i32-200000000000−2i32i30000-11−i3i33-3-33i3−i3i3−i3000000000000000000000000000000000
χ844-44-400-2-2-44−2i32i32i3−2i32222-2-21000-1-1i3−i3−i3i312-22i3−2i32-2000000000002i3−2i30000-11−i3i3-333-3−i3i3−i3i3000000000000000000000000000000000
χ854-44-400-2-2-442i3−2i3−2i32i32222-2-21000-1-1−i3i3i3−i312-2−2i32i32-200000000000−2i32i30000-11i3−i3-333-3i3−i3i3−i3000000000000000000000000000000000
χ864-44-400-2-2-442i3−2i3−2i32i32222-2-21000-1-1−i3i3i3−i312-2−2i32i32-2000000000002i3−2i30000-11i3−i33-3-33−i3i3−i3i3000000000000000000000000000000000
χ874-4-444-44-20044-4-424-4-22-4-20-22-22-2-2222000000000000000000000000000000000000−2i22i2−2i22i20000000000000000i2−i2i2−i200000000
χ884-4-444-44-20044-4-424-4-22-4-20-22-22-2-22220000000000000000000000000000000000002i2−2i22i2−2i20000000000000000−i2i2−i2i200000000
χ894-4-444-4-2400-2-222-4-224-42-204-4-22-2-2222000000004-44-4000000000000000000000000000000-2200-2200000000000000000000
χ904-4-444-4-2400-2-222-4-224-42-204-4-22-2-222200000000-44-440000000000000000000000000000002-2002-200000000000000000000
χ914-4-44-444-200-4-44424-4-22-4-202-2-2222-2-22000000000000000000000000000000000000−2i22i22i2−2i20000000000000000i2−i2−i2i200000000
χ924-4-44-444-200-4-44424-4-22-4-202-2-2222-2-220000000000000000000000000000000000002i2−2i2−2i22i20000000000000000−i2i2i2−i200000000
χ934-4-44-44-240022-2-2-4-224-42-20-44-2222-2-22000000004-4-44000000000000000000000000000000-22002-200000000000000000000
χ944-4-44-44-240022-2-2-4-224-42-20-44-2222-2-2200000000-444-40000000000000000000000000000002-200-2200000000000000000000
χ9588-8-8008-4000000-4-8844-8-40004-40000400000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-400−4i34i3−4i34i3-44-44442000-222i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-800-4-4004i3−4i34i3−4i3-44-44442000-22−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000000000
χ988-8-888-8-4-400-4-4444-44-44420-442-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-88-4-40044-4-44-44-444204-42-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000

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