Finite Group Databasebeta

← Group #11864985

Character table — Group #11864985

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222222334444444444444444466666668888888888888881212121212121212121212121212161616161624242424242424242424243636363648487272
order12233446666442234466661212121212121212224121212124666612121212121212121212224444446612121212661212122666688121212122244242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-11111-1-1-1-111111111111-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111111-1-11111-1-1-1-111111111111-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111111111-1-11111111111111111111111-1-1-1-1-1-1-1111111111-1-1-11-111111111-1-1-1-1-1-11-1-1-11-11-1-1-11-11-11-11-1
χ61111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-11-1-1-1111111111-1-1-1-1-1-1-11-1-1-11-11-1-1-11-11-11-11
χ71111111111111-1-11-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-11-1-1-111-1-1-1-1-1-111111-111-111-1-1-11-11-1-11-11
χ81111111111111-1-11-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-11-1-1-11-1-111-1-1-1-1-1-11111-11111-1-11-1-1-11-111-11-1
χ911111111111-1-111111111111111111-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-1-1-111-1-1
χ1011111111111-1-111111111111111111-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-111111-1-111-1-1-1-1-1-1-1-111
χ1211111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-11-1-11111-1-1-1-1111111-1-1
χ1311111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-111-11-111-1-11
χ1411111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-11111-11-1-111-1
χ1511111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111-1111-111-1-11111-1-1111-11-1-1-1-111-111-11-11-111-1
χ1611111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1111-1111-1-11111-1-1111-1-11-1-11-1-11111-11-11-1-11
χ1722222-2-22222222-220022220000-2-2-2-2-2-22222202-22-200000000-2-2002-20000-2-200002-20000000000002-200000000
χ1822222-2-2222222-2220022220000-2-2-2-2-2-2222220-22-2200000000-2-200-220000-2-20000-22000000000000-2200000000
χ1922222-2-22222-2-22-220022220000-2-2-2-222-2-2-2-2-202-22-200000000-2-200-2200002200002-2000000000000-2200000000
χ2022222-2-22222-2-2-2220022220000-2-2-2-222-2-2-2-2-20-22-2200000000-2-2002-20000220000-220000000000002-200000000
χ212222-122-1-12-12222-1222-1-1-1-1-1-1-1-1-122222-1-1-1-1222-1-1-1-122-1-1-1-1-1-100220022-1-1-1-1-1-1-1-12-1-1200-1-10000-1-100000000
χ222222-122-1-12-12222-1-2-22-1-1-11111-1-122222-1-1-1-1-222-1-111-2-21111-1-1002200-2-2-1-11111-1-1-211-200110000-1-100000000
χ232222-122-1-12-122-2-2-1222-1-1-1-1-1-1-1-1-122222-1-1-1-1-2-2-2111122-1-1-1-1-1-100-2-20022-1-1-1-1-1-111-211-2001100001100000000
χ242222-122-1-12-122-2-2-1-2-22-1-1-11111-1-122222-1-1-1-12-2-211-1-1-2-21111-1-100-2-200-2-2-1-11111112-1-1200-1-100001100000000
χ252222-122-1-12-1-2-222-1222-1-1-1-1-1-1-1-1-122-2-2-21111222-1-1-1-122-1-1-1-1-1-100-2-200-2-2111111-1-12-1-1-2001100001100000000
χ262222-122-1-12-1-2-222-1-2-22-1-1-11111-1-122-2-2-21111-222-1-111-2-21111-1-100-2-2002211-1-1-1-1-1-1-211200-1-100001100000000
χ272222-122-1-12-1-2-2-2-2-1222-1-1-1-1-1-1-1-1-122-2-2-21111-2-2-2111122-1-1-1-1-1-1002200-2-211111111-211200-1-10000-1-100000000
χ282222-122-1-12-1-2-2-2-2-1-2-22-1-1-11111-1-122-2-2-211112-2-211-1-1-2-21111-1-10022002211-1-1-1-1112-1-1-200110000-1-100000000
χ292222-1-2-2-1-12-1222-2-1002-1-1-1−i3−i3i3i311-2-2-2-22-1-1-1-102-2-11−i3i300−i3−i3i3i311002-2000011−i3−i3i3i3-110−i3i3000−i3i30000-1100000000
χ302222-1-2-2-1-12-1222-2-1002-1-1-1i3i3−i3−i311-2-2-2-22-1-1-1-102-2-11i3−i300i3i3−i3−i311002-2000011i3i3−i3−i3-110i3−i3000i3−i30000-1100000000
χ312222-1-2-2-1-12-122-22-1002-1-1-1−i3−i3i3i311-2-2-2-22-1-1-1-10-221-1i3−i300−i3−i3i3i31100-22000011−i3−i3i3i31-10i3−i3000i3−i300001-100000000
χ322222-1-2-2-1-12-122-22-1002-1-1-1i3i3−i3−i311-2-2-2-22-1-1-1-10-221-1−i3i300i3i3−i3−i31100-22000011i3i3−i3−i31-10−i3i3000−i3i300001-100000000
χ332222-1-2-2-1-12-1-2-22-2-1002-1-1-1−i3−i3i3i311-2-222-2111102-2-11−i3i300−i3−i3i3i31100-220000-1-1i3i3−i3−i3-110−i3i3000i3−i300001-100000000
χ342222-1-2-2-1-12-1-2-22-2-1002-1-1-1i3i3−i3−i311-2-222-2111102-2-11i3−i300i3i3−i3−i31100-220000-1-1−i3−i3i3i3-110i3−i3000−i3i300001-100000000
χ352222-1-2-2-1-12-1-2-2-22-1002-1-1-1−i3−i3i3i311-2-222-211110-221-1i3−i300−i3−i3i3i311002-20000-1-1i3i3−i3−i31-10i3−i3000−i3i30000-1100000000
χ362222-1-2-2-1-12-1-2-2-22-1002-1-1-1i3i3−i3−i311-2-222-211110-221-1−i3i300i3i3−i3−i311002-20000-1-1−i3−i3i3i31-10−i3i3000i3−i30000-1100000000
χ37222-122222-120022-122-1-1-1-1222222-1-100000002-1-12222-1-1-1-1-1-1-1-122002200000000-1-1-1-1-10-1-10022-1-1000000-1-100
χ38222-122222-120022-122-1-1-1-1222222-1-100000002-1-12222-1-1-1-1-1-1-1-1-2-200-2-200000000-1-1-1-1-101100-2-2110000001100
χ39222-122222-120022-1-2-2-1-1-1-1-2-2-2-222-1-10000000-2-1-122-2-2111111-1-122002200000000-1-11110-1-100-2-2-1-10000001100
χ40222-122222-120022-1-2-2-1-1-1-1-2-2-2-222-1-10000000-2-1-122-2-2111111-1-1-2-200-2-200000000-1-1111011002211000000-1-100
χ41222-122222-1200-2-2-122-1-1-1-1222222-1-10000000-211-2-2-2-2-1-1-1-1-1-1-1-12-2002-200000000111110-11002-2-11000000-1100
χ42222-122222-1200-2-2-122-1-1-1-1222222-1-10000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2200-22000000001111101-100-221-10000001-100
χ43222-122222-1200-2-2-1-2-2-1-1-1-1-2-2-2-222-1-10000000211-2-222111111-1-12-2002-20000000011-1-1-10-1100-22-110000001-100
χ44222-122222-1200-2-2-1-2-2-1-1-1-1-2-2-2-222-1-10000000211-2-222111111-1-1-2200-220000000011-1-1-101-1002-21-1000000-1100
χ4522-2222-2-2-2222200200-2-2-2200002-22-22-2-222-2-200000000000002-202000-2002-200000000000200000-2000-2020000
χ4622-2222-2-2-2222200200-2-2-2200002-22-22-2-222-2-200000000000002-20-20002002-200000000000-200000200020-20000
χ4722-2222-2-2-222-2-200200-2-2-2200002-22-2-222-2-22200000000000002-202000-200-2200000000000200000-200020-20000
χ4822-2222-2-2-222-2-200200-2-2-2200002-22-2-222-2-22200000000000002-20-2000200-2200000000000-2000002000-2020000
χ4922-222-22-2-2222200200-2-2-220000-22-22-22-222-2-20000000000000-222000-2000-220000000000200000-2000-20200000
χ5022-222-22-2-2222200200-2-2-220000-22-22-22-222-2-20000000000000-22-20002000-220000000000-200000200020-200000
χ5122-222-22-2-222-2-200200-2-2-220000-22-222-22-2-2220000000000000-222000-20002-20000000000200000-200020-200000
χ5222-222-22-2-222-2-200200-2-2-220000-22-222-22-2-2220000000000000-22-200020002-20000000000-2000002000-20200000
χ53444-24-4-444-24004-4-200-2-2-2-20000-4-42200000000-224-4000000002200000000000000-220000000000000000000000
χ54444-24-4-444-2400-44-200-2-2-2-20000-4-422000000002-2-440000000022000000000000002-20000000000000000000000
χ55444-2-244-2-2-2-20044144-2111-2-2-2-2-2-2-2-200000004-2-2-2-2-2-2-2-21111110000000000000011-2110000000000000000000
χ56444-2-244-2-2-2-200441-4-4-21112222-2-2-2-20000000-4-2-2-2-22222-1-1-1-11100000000000000112-1-10000000000000000000
χ57444-2-244-2-2-2-200-4-4144-2111-2-2-2-2-2-2-2-20000000-4222222-2-211111100000000000000-1-12-1-10000000000000000000
χ58444-2-244-2-2-2-200-4-41-4-4-21112222-2-2-2-2000000042222-2-222-1-1-1-11100000000000000-1-1-2110000000000000000000
χ59444-2-2-4-4-2-2-2-2004-4100-2111−2i3−2i32i32i3222200000000-22-22−2i32i300i3i3−i3−i3-1-1000000000000001-10i3−i30000000000000000000
χ60444-2-2-4-4-2-2-2-2004-4100-21112i32i3−2i3−2i3222200000000-22-222i3−2i300−i3−i3i3i3-1-1000000000000001-10−i3i30000000000000000000
χ61444-2-2-4-4-2-2-2-200-44100-2111−2i3−2i32i32i32222000000002-22-22i3−2i300i3i3−i3−i3-1-100000000000000-110−i3i30000000000000000000
χ62444-2-2-4-4-2-2-2-200-44100-21112i32i3−2i3−2i32222000000002-22-2−2i32i300−i3−i3i3i3-1-100000000000000-110i3−i30000000000000000000
χ6344-44-24-4224-24400-200-422-20000-224-44-4-4-2-2220000000000000-2200000000-220000000000000000000000000000
χ6444-44-24-4224-2-4-400-200-422-20000-224-4-44422-2-20000000000000-22000000002-20000000000000000000000000000
χ6544-44-2-44224-24400-200-422-200002-2-44-44-4-2-22200000000000002-2000000002-20000000000000000000000000000
χ6644-44-2-44224-2-4-400-200-422-200002-2-444-4422-2-200000000000002-200000000-220000000000000000000000000000
χ6744-4-244-4-4-4-240000-200222-200004-4-2200000000000000000000-2204000-4000000000000000-20000020000000000
χ6844-4-244-4-4-4-240000-200222-200004-4-2200000000000000000000-220-40004000000000000000200000-20000000000
χ6944-4-24-44-4-4-240000-200222-20000-442-2000000000000000000002-24000-4000000000000000-200000200000000000
χ7044-4-24-44-4-4-240000-200222-20000-442-2000000000000000000002-2-40004000000000000000200000-200000000000
χ714-40440000-4-44i−4i0042i−2i000-42i−2i2i−2i00000004i−4i0000000002i−2i2i−2i2i−2i000000002-2002-22-2000000000000000000000000
χ724-40440000-4-44i−4i004−2i2i000-4−2i2i−2i2i00000004i−4i000000000−2i2i−2i2i−2i2i00000000-2200-22-22000000000000000000000000
χ734-40440000-4-4−4i4i0042i−2i000-42i−2i2i−2i0000000−4i4i0000000002i−2i2i−2i2i−2i00000000-2200-22-22000000000000000000000000
χ744-40440000-4-4−4i4i004−2i2i000-4−2i2i−2i2i0000000−4i4i000000000−2i2i−2i2i−2i2i000000002-2002-22-2000000000000000000000000
χ754-404-200−2i32i3-424i−4i00-22i−2i0−2i32i322ζ7−2ζ72ζ11−2ζ110000000−2i2i23−2300000002i−2i2ζ7−2ζ72ζ11−2ζ11000000002-200−1+i31−i3−1−i31+i3000000000000000000000000
χ764-404-200−2i32i3-424i−4i00-2−2i2i0−2i32i32−2ζ72ζ7−2ζ112ζ110000000−2i2i23−230000000−2i2i−2ζ72ζ7−2ζ112ζ1100000000-22001−i3−1+i31+i3−1−i3000000000000000000000000
χ774-404-200−2i32i3-42−4i4i00-22i−2i0−2i32i322ζ7−2ζ72ζ11−2ζ1100000002i−2i−232300000002i−2i2ζ7−2ζ72ζ11−2ζ1100000000-22001−i3−1+i31+i3−1−i3000000000000000000000000
χ784-404-200−2i32i3-42−4i4i00-2−2i2i0−2i32i32−2ζ72ζ7−2ζ112ζ1100000002i−2i−23230000000−2i2i−2ζ72ζ7−2ζ112ζ11000000002-200−1+i31−i3−1−i31+i3000000000000000000000000
χ794-404-2002i3−2i3-424i−4i00-22i−2i02i3−2i322ζ11−2ζ112ζ7−2ζ70000000−2i2i−232300000002i−2i2ζ11−2ζ112ζ7−2ζ7000000002-200−1−i31+i3−1+i31−i3000000000000000000000000
χ804-404-2002i3−2i3-424i−4i00-2−2i2i02i3−2i32−2ζ112ζ11−2ζ72ζ70000000−2i2i−23230000000−2i2i−2ζ112ζ11−2ζ72ζ700000000-22001+i3−1−i31−i3−1+i3000000000000000000000000
χ814-404-2002i3−2i3-42−4i4i00-22i−2i02i3−2i322ζ11−2ζ112ζ7−2ζ700000002i−2i23−2300000002i−2i2ζ11−2ζ112ζ7−2ζ700000000-22001+i3−1−i31−i3−1+i3000000000000000000000000
χ824-404-2002i3−2i3-42−4i4i00-2−2i2i02i3−2i32−2ζ112ζ11−2ζ72ζ700000002i−2i23−230000000−2i2i−2ζ112ζ11−2ζ72ζ7000000002-200−1−i31+i3−1+i31−i3000000000000000000000000
χ8388-8-4-48-844-4-400002004-2-220000-44-44000000000000000000002-200000000000000000000000000000000000000
χ8488-8-4-4-8844-4-400002004-2-2200004-44-400000000000000000000-2200000000000000000000000000000000000000
χ858-80-4800004-80000-44i−4i00044i−4i4i−4i000000000000000000−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ868-80-4800004-80000-4−4i4i0004−4i4i−4i4i0000000000000000002i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ878-80-4-400−4i34i344000024i−4i02i3−2i3-24ζ7−4ζ74ζ11−4ζ11000000000000000000−2i2i−2ζ72ζ7−2ζ112ζ110000000000000000000000000000000000000000
χ888-80-4-400−4i34i34400002−4i4i02i3−2i3-2−4ζ74ζ7−4ζ114ζ110000000000000000002i−2i2ζ7−2ζ72ζ11−2ζ110000000000000000000000000000000000000000
χ898-80-4-4004i3−4i344000024i−4i0−2i32i3-24ζ11−4ζ114ζ7−4ζ7000000000000000000−2i2i−2ζ112ζ11−2ζ72ζ70000000000000000000000000000000000000000
χ908-80-4-4004i3−4i34400002−4i4i0−2i32i3-2−4ζ114ζ11−4ζ74ζ70000000000000000002i−2i2ζ11−2ζ112ζ7−2ζ70000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.