Finite Group Databasebeta

← Group #13152095

Character table — Group #13152095

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222244444446666666666666666121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222222236662666666336666666666666636666666666666666666666622224444222444446666666612121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-11-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-11111-111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-11-111-1-1111111-1-1-1-1-1-111-1-1
χ6111111-1-11111-111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-11-11-1111-1-1-1-1-1-111-1-11111-1-111
χ7111111-1-11111-111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-1-11-1-1111111-1-111-1-1-1-1-1-111
χ8111111-1-11111-111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111-1-1-111-1-1-1-1-1-111111111-1-1
χ91111-1-1111111-1-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1111-11-1-1-1-11111111-1-1-1-1-1-111-1-11-11-1
χ101111-1-1111111-1-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11-111-11111-1-111-1-1-1-1-1-111-11-11
χ111111-1-1111111-1-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-11-1-1-1-1-111-1-1111111-1-1-11-11
χ121111-1-1111111-1-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-111-11-1-1-1-1-1-1111111-1-1111-11-1
χ131111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1111-1-11
χ141111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-11-11111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1-1-1111-1-11111-1-111-1-1-1-111-111-1
χ161111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-11-1-11
χ1722222222222222222222-122-1-12222-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220020002000-1-1-1-10000-1-1-1-100000000
χ1822222222222222222222-122-1-12222-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2000-200011110000111100000000
χ192222222222222222222-12-1-122-1-1-1-12222-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022020002000000-1-1-1-10000-1-1-1-10000
χ202222222222222222222-12-1-122-1-1-1-12222-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20-2000-20000001111000011110000
χ21222222-2-22222-222-2-2-2-22-122-1-1222211112-1-1-1-1-2-2-2-211-1-1-1-1-1-1-11111111122002200-2000-2000-1-1110000-1-11100000000
χ22222222-2-22222-222-2-2-2-22-122-1-1222211112-1-1-1-1-2-2-2-211-1-1-1-1-1-1-111111111-2-200-2-2002000200011-1-1000011-1-100000000
χ23222222-2-22222-222-2-2-2-2-12-1-122-1-1-1-1-2-2-2-2-12-1221111-2-2-1-1-1-1-1-1-111111111002200-2-202000-2000000-1-1-1-1000011110000
χ24222222-2-22222-222-2-2-2-2-12-1-122-1-1-1-1-2-2-2-2-12-1221111-2-2-1-1-1-1-1-1-11111111100-2-200220-2000200000011110000-1-1-1-10000
χ252222-2-2222222-2-2-222-2-22-122-1-1-2-2-2-2-1-1-1-12-1-11122-2-211-1-1-11111-1-1-1-111112200-2-2002000-2000-1-1-1-10000111100000000
χ262222-2-2222222-2-2-222-2-22-122-1-1-2-2-2-2-1-1-1-12-1-11122-2-211-1-1-11111-1-1-1-11111-2-2002200-2000200011110000-1-1-1-100000000
χ272222-2-2222222-2-2-222-2-2-12-1-12211112222-12-1-2-2-1-111-2-2-1-1-11111-1-1-1-11111002200220-2000-2000000-1-1110000-1-1110000
χ282222-2-2222222-2-2-222-2-2-12-1-12211112222-12-1-2-2-1-111-2-2-1-1-11111-1-1-1-1111100-2-200-2-202000200000011-1-1000011-1-10000
χ292222-2-2-2-222222-2-2-2-2222-122-1-1-2-2-2-211112-1-111-2-222-1-1-1-1-111111111-1-1-1-12200-2-200-20002000-1-111000011-1-100000000
χ302222-2-2-2-222222-2-2-2-2222-122-1-1-2-2-2-211112-1-111-2-222-1-1-1-1-111111111-1-1-1-1-2-20022002000-200011-1-10000-1-11100000000
χ312222-2-2-2-222222-2-2-2-222-12-1-1221111-2-2-2-2-12-1-2-211-1-122-1-1-111111111-1-1-1-1002200-2-20-20002000000-1-111000011-1-10000
χ322222-2-2-2-222222-2-2-2-222-12-1-1221111-2-2-2-2-12-1-2-211-1-122-1-1-111111111-1-1-1-100-2-2002202000-200000011-1-10000-1-1110000
χ332-22-2002-222-2-20002-20022-2-22-2000022-2-22-22002-200002-2-2000022-2-20000002-2002-20000000000002-20000002-2000000
χ342-22-2002-222-2-20002-20022-2-22-2000022-2-22-22002-200002-2-2000022-2-2000000-2200-22000000000000-22000000-22000000
χ352-22-2002-222-2-20002-200-12112-2i3i3−i3−i322-2-2-1-2-100-11i3−i300-111i3i3−i3−i3-1-111i3i3−i3−i3002-2002-2000000000000-11i3−i30000-11i3−i30000
χ362-22-2002-222-2-20002-200-12112-2i3i3−i3−i322-2-2-1-2-100-11i3−i300-111i3i3−i3−i3-1-111i3i3−i3−i300-2200-220000000000001-1−i3i300001-1−i3i30000
χ372-22-2002-222-2-20002-200-12112-2−i3−i3i3i322-2-2-1-2-100-11−i3i300-111−i3−i3i3i3-1-111−i3−i3i3i3002-2002-2000000000000-11−i3i30000-11−i3i30000
χ382-22-2002-222-2-20002-200-12112-2−i3−i3i3i322-2-2-1-2-100-11−i3i300-111−i3−i3i3i3-1-111−i3−i3i3i300-2200-220000000000001-1i3−i300001-1i3−i30000
χ392-22-200-2222-2-2000-220022-2-22-20000-2-2222-2200-2200002-2-20000-2-2220000002-200-220000000000002-2000000-22000000
χ402-22-200-2222-2-2000-220022-2-22-20000-2-2222-2200-2200002-2-20000-2-222000000-22002-2000000000000-220000002-2000000
χ412-22-200-2222-2-2000-2200-12112-2i3i3−i3−i3-2-222-1-2-1001-1−i3i300-111i3i3−i3−i311-1-1−i3−i3i3i3002-200-22000000000000-11i3−i300001-1−i3i30000
χ422-22-200-2222-2-2000-2200-12112-2i3i3−i3−i3-2-222-1-2-1001-1−i3i300-111i3i3−i3−i311-1-1−i3−i3i3i300-22002-20000000000001-1−i3i30000-11i3−i30000
χ432-22-200-2222-2-2000-2200-12112-2−i3−i3i3i3-2-222-1-2-1001-1i3−i300-111−i3−i3i3i311-1-1i3i3−i3−i3002-200-22000000000000-11−i3i300001-1i3−i30000
χ442-22-200-2222-2-2000-2200-12112-2−i3−i3i3i3-2-222-1-2-1001-1i3−i300-111−i3−i3i3i311-1-1i3i3−i3−i300-22002-20000000000001-1i3−i30000-11−i3i30000
χ452-2-222-2002-22-202-20000222-2-2-22-22-20000-2222-2000000-22-22-22-2000000002-2002-200000000002-20000002-20000000000
χ462-2-222-2002-22-202-20000222-2-2-22-22-20000-2222-2000000-22-22-22-200000000-2200-220000000000-22000000-220000000000
χ472-2-222-2002-22-202-200002-12-2112-22-2i3−i3i3−i3-2-1-1-110000i3−i31-11-11-11i3−i3i3−i3i3−i3i3−i32-2002-20000000000-11i3−i30000-11i3−i300000000
χ482-2-222-2002-22-202-200002-12-2112-22-2i3−i3i3−i3-2-1-1-110000i3−i31-11-11-11i3−i3i3−i3i3−i3i3−i3-2200-2200000000001-1−i3i300001-1−i3i300000000
χ492-2-222-2002-22-202-200002-12-2112-22-2−i3i3−i3i3-2-1-1-110000−i3i31-11-11-11−i3i3−i3i3−i3i3−i3i32-2002-20000000000-11−i3i30000-11−i3i300000000
χ502-2-222-2002-22-202-200002-12-2112-22-2−i3i3−i3i3-2-1-1-110000−i3i31-11-11-11−i3i3−i3i3−i3i3−i3i3-2200-2200000000001-1i3−i300001-1i3−i300000000
χ512-2-22-22002-22-20-220000222-2-2-2-22-220000-222-22000000-22-2-22-22000000002-200-2200000000002-2000000-220000000000
χ522-2-22-22002-22-20-220000222-2-2-2-22-220000-222-22000000-22-2-22-2200000000-22002-20000000000-220000002-20000000000
χ532-2-22-22002-22-20-2200002-12-211-22-22i3−i3i3−i3-2-1-11-10000−i3i31-111-11-1i3−i3i3−i3−i3i3−i3i32-200-220000000000-11i3−i300001-1−i3i300000000
χ542-2-22-22002-22-20-2200002-12-211-22-22i3−i3i3−i3-2-1-11-10000−i3i31-111-11-1i3−i3i3−i3−i3i3−i3i3-22002-200000000001-1−i3i30000-11i3−i300000000
χ552-2-22-22002-22-20-2200002-12-211-22-22−i3i3−i3i3-2-1-11-10000i3−i31-111-11-1−i3i3−i3i3i3−i3i3−i32-200-220000000000-11−i3i300001-1i3−i300000000
χ562-2-22-22002-22-20-2200002-12-211-22-22−i3i3−i3i3-2-1-11-10000i3−i31-111-11-1−i3i3−i3i3i3−i3i3−i3-22002-200000000001-1i3−i30000-11−i3i300000000
χ574444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2111111111111111000000000000000000000000000000000000
χ58444444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-2-2-22222-2-21-2-22222221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ594444-4-4444444-4-4-444-4-4-2-2-2-2-2-22222-2-2-2-2-2-2122-2-22222111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ604444-4-4-4-444444-4-4-4-444-2-2-2-2-2-222222222-2-212222-2-2-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ6144-4-400004-4-44000000044-44-4400000000-4-4400000000-4-44000000000000000000000000000000000000000000000000
χ6244-4-400004-4-4400000004-2-442-200002i3−2i3−2i32i3-42-20000000022-200002i3−2i3−2i32i30000000000000000000000000000000000000000
χ6344-4-400004-4-4400000004-2-442-20000−2i32i32i3−2i3-42-20000000022-20000−2i32i32i3−2i30000000000000000000000000000000000000000
χ6444-4-400004-4-440000000-242-2-442i3−2i3−2i32i300002-4-20000000022-22i3−2i3−2i32i300000000000000000000000000000000000000000000
χ6544-4-400004-4-440000000-242-2-44−2i32i32i3−2i300002-4-20000000022-2−2i32i32i3−2i300000000000000000000000000000000000000000000
χ6644-4-400004-4-440000000-2-22-22-22i3−2i3−2i32i32i3−2i3−2i32i322100000000-1-11−i3i3i3−i3−i3i3i3−i3-333-3000000000000000000000000000000000000
χ6744-4-400004-4-440000000-2-22-22-22i3−2i3−2i32i3−2i32i32i3−2i322100000000-1-11−i3i3i3−i3i3−i3−i3i33-3-33000000000000000000000000000000000000
χ6844-4-400004-4-440000000-2-22-22-2−2i32i32i3−2i32i3−2i3−2i32i322100000000-1-11i3−i3−i3i3−i3i3i3−i33-3-33000000000000000000000000000000000000
χ6944-4-400004-4-440000000-2-22-22-2−2i32i32i3−2i3−2i32i32i3−2i322100000000-1-11i3−i3−i3i3i3−i3−i3i3-333-3000000000000000000000000000000000000
χ704-44-4004-444-4-40004-4004-2-4-4-220000-2-22242-2004-40000-2220000-2-2220000000000000000000000000000000000000000
χ714-44-4004-444-4-40004-400-2-222-222i32i3−2i3−2i3-2-222-22100-222i3−2i3001-1-1−i3−i3i3i311-1-1−i3−i3i3i3000000000000000000000000000000000000
χ724-44-4004-444-4-40004-400-2-222-22−2i3−2i32i32i3-2-222-22100-22−2i32i3001-1-1i3i3−i3−i311-1-1i3i3−i3−i3000000000000000000000000000000000000
χ734-44-400-4444-4-4000-44004-2-4-4-22000022-2-242-200-440000-222000022-2-20000000000000000000000000000000000000000
χ744-44-400-4444-4-4000-4400-2-222-222i32i3−2i3−2i322-2-2-221002-2−2i32i3001-1-1−i3−i3i3i3-1-111i3i3−i3−i3000000000000000000000000000000000000
χ754-44-400-4444-4-4000-4400-2-222-22−2i3−2i32i32i322-2-2-221002-22i3−2i3001-1-1i3i3−i3−i3-1-111−i3−i3i3i3000000000000000000000000000000000000
χ764-4-444-4004-44-404-40000-24-22-4-4-22-22000024-24-40000002-22-22-2200000000000000000000000000000000000000000000
χ774-4-444-4004-44-404-40000-2-2-2222-22-222i3−2i32i3−2i32-21-2200002i3−2i3-11-11-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ784-4-444-4004-44-404-40000-2-2-2222-22-22−2i32i3−2i32i32-21-220000−2i32i3-11-11-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ794-4-44-44004-44-40-440000-24-22-4-42-22-2000024-2-440000002-222-22-200000000000000000000000000000000000000000000
χ804-4-44-44004-44-40-440000-2-2-22222-22-22i3−2i32i3−2i32-212-20000−2i32i3-11-1-11-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ814-4-44-44004-44-40-440000-2-2-22222-22-2−2i32i3−2i32i32-212-200002i3−2i3-11-1-11-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ8266666666-3-3-3-36-3-3-3-3-3-3000000000000000000000000000000000000000000000000002200220000000000000000-1-1-1-1
χ8366666666-3-3-3-36-3-3-3-3-3-300000000000000000000000000000000000000000000000000-2-200-2-200000000000000001111
χ84666666-6-6-3-3-3-3-6-3-33333000000000000000000000000000000000000000000000000002-2002-20000000000000000-1-111
χ85666666-6-6-3-3-3-3-6-3-3333300000000000000000000000000000000000000000000000000-2200-22000000000000000011-1-1
χ866666-6-666-3-3-3-3-633-3-333000000000000000000000000000000000000000000000000002-200-220000000000000000-11-11
χ876666-6-666-3-3-3-3-633-3-33300000000000000000000000000000000000000000000000000-22002-200000000000000001-11-1
χ886666-6-6-6-6-3-3-3-363333-3-3000000000000000000000000000000000000000000000000002200-2-20000000000000000-111-1
χ896666-6-6-6-6-3-3-3-363333-3-300000000000000000000000000000000000000000000000000-2-2002200000000000000001-1-11
χ901212-12-120000-666-6000006i3−6i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ911212-12-120000-666-600000−6i36i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-1212-120012-12-6-666000-66000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-1200-1212-6-6660006-6000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-121212-1200-66-660-6600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-121200-66-6606-600000000000000000000000000000000000000000000000000000000000000000000000000000000

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