Finite Group Databasebeta

← Group #10944172

Character table — Group #10944172

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212121216161616161648484848
order122222344444466612121212224444444446612121212121244446612121212121212121212121212121212224444444444444488242424242288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-11-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111-1-11-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ711111111111111111111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ811111111111111111111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111
χ91111111-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-11-11-1
χ101111111-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111-111-1-1-11-11
χ111111111-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-111-11-11
χ121111111-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-11-1-1111-11-1
χ131111111-1-111111111111-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-11-1-111-111-1
χ141111111-1-111111111111-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1111-1-11
χ151111111-1-111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111-111-1-11-1-11
χ161111111-1-111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11-111-1-1-111-1
χ17222222222-2-2-2-2222-2-2-2-200200-2-2000022-2-222-2-20000002-2000000000000000000000022-2-222-2-20000000000
χ18222222222-2-2-2-2222-2-2-2-200200-2-2000022-2-222-2-20000002-20000000000000000000000-2-222-2-2220000000000
χ192222222-2-2-2-2-2-2222-2-2-2-200-20022000022-2-2-2-222000000-22000000000000000000000022-2-2-2-2220000000000
χ202222222-2-2-2-2-2-2222-2-2-2-200-20022000022-2-2-2-222000000-220000000000000000000000-2-22222-2-20000000000
χ21222222-1222222-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-10000
χ22222222-1222222-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-211110000
χ23222222-1222222-1-1-1-1-1-1-1-2-22-2-222-2-2-2-2-1-1-1-1-1-1-1-1222211-1-1111111-1-1-1-1-1-1-1-10000000000000000-2-211110000
χ24222222-1222222-1-1-1-1-1-1-1-2-22-2-222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-211-1-111111111111111000000000000000022-1-1-1-10000
χ25222222-1-2-22222-1-1-1-1-1-1-122-2-2-2-2-222-2-2-1-1-1-1111122-2-2-1-111-1-11111-1-1-1-1111100000000000000002-2-1-1110000
χ26222222-1-2-22222-1-1-1-1-1-1-122-2-2-2-2-222-2-2-1-1-1-11111-2-222-1-111-1-111111111-1-1-1-10000000000000000-2211-1-10000
χ27222222-1-2-22222-1-1-1-1-1-1-1-2-2-222-2-2-2-222-1-1-1-1111122-2-2111111-1-1-1-1-1-1-1-111110000000000000000-2211-1-10000
χ28222222-1-2-22222-1-1-1-1-1-1-1-2-2-222-2-2-2-222-1-1-1-11111-2-222111111-1-1-1-11111-1-1-1-100000000000000002-2-1-1110000
χ292222-2-22222-22-2222222200-2002-20000-2-2-2-22222000000-2-2000000000000002222-2-2-2-2000000000000000000
χ302222-2-22222-22-2222222200-2002-20000-2-2-2-22222000000-2-200000000000000-2-2-2-22222000000000000000000
χ312222-2-2222-22-22222-2-2-2-222-222-22-2-2-2-2-2-22222-2-2000022-22-2-222-2-20000000000000000000000000000000000
χ322222-2-2222-22-22222-2-2-2-2-2-2-2-2-2-222222-2-22222-2-20000-2-2-2222-2-2220000000000000000000000000000000000
χ332222-2-22-2-22-22-2222222200200-220000-2-2-2-2-2-2-2-2000000220000000000000022-2-2-2-222000000000000000000
χ342222-2-22-2-22-22-2222222200200-220000-2-2-2-2-2-2-2-20000002200000000000000-2-22222-2-2000000000000000000
χ352222-2-22-2-2-22-22222-2-2-2-2222-2-22-2-2-222-2-222-2-2220000222-2-2-2-2-2220000000000000000000000000000000000
χ362222-2-22-2-2-22-22222-2-2-2-2-2-22222-222-2-2-2-222-2-2220000-2-22-22222-2-20000000000000000000000000000000000
χ372222-2-2-122-22-22-1-1-1111122-222-22-2-2-2-211-1-1-1-1110000-1-11-111-1-11133−3−333−3−30000000000000000003−33−30000
χ382222-2-2-122-22-22-1-1-1111122-222-22-2-2-2-211-1-1-1-1110000-1-11-111-1-111−3−333−3−333000000000000000000−33−330000
χ392222-2-2-122-22-22-1-1-11111-2-2-2-2-2-22222211-1-1-1-1110000111-1-1-111-1-133−3−333−3−3000000000000000000−33−330000
χ402222-2-2-122-22-22-1-1-11111-2-2-2-2-2-22222211-1-1-1-1110000111-1-1-111-1-1−3−333−3−3330000000000000000003−33−30000
χ412222-2-2-1-2-2-22-22-1-1-11111222-2-22-2-2-22211-1-111-1-10000-1-1-111111-1-133−3−3−3−3330000000000000000003−3−330000
χ422222-2-2-1-2-2-22-22-1-1-11111222-2-22-2-2-22211-1-111-1-10000-1-1-111111-1-1−3−33333−3−3000000000000000000−333−30000
χ432222-2-2-1-2-2-22-22-1-1-11111-2-22222-222-2-211-1-111-1-1000011-11-1-1-1-11133−3−3−3−333000000000000000000−333−30000
χ442222-2-2-1-2-2-22-22-1-1-11111-2-22222-222-2-211-1-111-1-1000011-11-1-1-1-111−3−33333−3−30000000000000000003−3−330000
χ452-22-22-22002-2-222-2-222-2-22-2000002-2002-22-2000000002-2002-2000000000000002i−2i002i−2i00002i−2i2i−2i0000000000
χ462-22-22-22002-2-222-2-222-2-22-2000002-2002-22-2000000002-2002-200000000000000−2i2i00−2i2i0000−2i2i−2i2i0000000000
χ472-22-22-22002-2-222-2-222-2-2-2200000-22002-22-200000000-2200-22000000000000002i−2i002i−2i0000−2i2i−2i2i0000000000
χ482-22-22-22002-2-222-2-222-2-2-2200000-22002-22-200000000-2200-2200000000000000−2i2i00−2i2i00002i−2i2i−2i0000000000
χ492-22-22-2200-222-22-2-2-2-2220002i−2i00002i−2i2-2-22000000000000002i−2i2i−2i000000002-2002-20000002i−2i−2i2i0000000000
χ502-22-22-2200-222-22-2-2-2-2220002i−2i00002i−2i2-2-22000000000000002i−2i2i−2i00000000-2200-22000000−2i2i2i−2i0000000000
χ512-22-22-2200-222-22-2-2-2-222000−2i2i0000−2i2i2-2-2200000000000000−2i2i−2i2i000000002-2002-2000000−2i2i2i−2i0000000000
χ522-22-22-2200-222-22-2-2-2-222000−2i2i0000−2i2i2-2-2200000000000000−2i2i−2i2i00000000-2200-220000002i−2i−2i2i0000000000
χ532-22-2-2220022-2-22-2-222-2-20002i−2i0000−2i2i-22-22000000000000002i−2i−2i2i00000000002i−2i00−2i2i2-22-200000000000000
χ542-22-2-2220022-2-22-2-222-2-20002i−2i0000−2i2i-22-22000000000000002i−2i−2i2i0000000000−2i2i002i−2i-22-2200000000000000
χ552-22-2-2220022-2-22-2-222-2-2000−2i2i00002i−2i-22-2200000000000000−2i2i2i−2i00000000002i−2i00−2i2i-22-2200000000000000
χ562-22-2-2220022-2-22-2-222-2-2000−2i2i00002i−2i-22-2200000000000000−2i2i2i−2i0000000000−2i2i002i−2i2-22-200000000000000
χ572-22-2-22200-2-2222-2-2-2-2222-200000-2200-222-2000000002-200-220000000000002-200-22002-2-2200000000000000
χ582-22-2-22200-2-2222-2-2-2-2222-200000-2200-222-2000000002-200-22000000000000-22002-200-222-200000000000000
χ592-22-2-22200-2-2222-2-2-2-222-22000002-200-222-200000000-22002-20000000000002-200-2200-222-200000000000000
χ602-22-2-22200-2-2222-2-2-2-222-22000002-200-222-200000000-22002-2000000000000-22002-2002-2-2200000000000000
χ61444444-244-4-4-4-4-2-2-2222200400-4-40000-2-222-2-222000000-220000000000000000000000000000000000000000
χ62444444-2-4-4-4-4-4-4-2-2-2222200-400440000-2-22222-2-20000002-20000000000000000000000000000000000000000
χ634444-4-4-2444-44-4-2-2-2-2-2-2-200-4004-400002222-2-2-2-2000000220000000000000000000000000000000000000000
χ644444-4-4-2-4-44-44-4-2-2-2-2-2-2-200400-44000022222222000000-2-20000000000000000000000000000000000000000
χ6544-4-40044-40000-44-400000000000000000004-4002i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ6644-4-40044-40000-44-400000000000000000004-400−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ6744-4-4004-440000-44-40000000000000000000-44002i−2i−2i2i00000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ6844-4-4004-440000-44-40000000000000000000-4400−2i2i2i−2i0000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ6944-4-400-24-400002-2223−2323−23000000000000000-2223−232i−2i2i−2i0000000000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000000
χ7044-4-400-24-400002-2223−2323−23000000000000000-2223−23−2i2i−2i2i0000000000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000000
χ7144-4-400-24-400002-22−2323−2323000000000000000-22−23232i−2i2i−2i0000000000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000000
χ7244-4-400-24-400002-22−2323−2323000000000000000-22−2323−2i2i−2i2i0000000000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000000
χ7344-4-400-2-4400002-2223−2323−230000000000000002-2−23232i−2i−2i2i0000000000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000000
χ7444-4-400-2-4400002-2223−2323−230000000000000002-2−2323−2i2i2i−2i0000000000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000000
χ7544-4-400-2-4400002-22−2323−23230000000000000002-223−232i−2i−2i2i0000000000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000000
χ7644-4-400-2-4400002-22−2323−23230000000000000002-223−23−2i2i2i−2i0000000000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000000
χ774-44-44-4-2004-4-44-222-2-2224-4000004-400-22-2200000000-2200-2200000000000000000000000000000000000000
χ784-44-44-4-2004-4-44-222-2-222-4400000-4400-22-22000000002-2002-200000000000000000000000000000000000000
χ794-44-44-4-200-444-4-22222-2-20004i−4i00004i−4i-222-200000000000000−2i2i−2i2i0000000000000000000000000000000000
χ804-44-44-4-200-444-4-22222-2-2000−4i4i0000−4i4i-222-2000000000000002i−2i2i−2i0000000000000000000000000000000000
χ814-44-4-44-20044-4-4-222-2-2220004i−4i0000−4i4i2-22-200000000000000−2i2i2i−2i0000000000000000000000000000000000
χ824-44-4-44-20044-4-4-222-2-222000−4i4i00004i−4i2-22-2000000000000002i−2i−2i2i0000000000000000000000000000000000
χ834-44-4-44-200-4-444-22222-2-24-400000-44002-2-2200000000-22002-200000000000000000000000000000000000000
χ844-44-4-44-200-4-444-22222-2-2-44000004-4002-2-22000000002-200-2200000000000000000000000000000000000000
χ858-8-88008000000-8-8800000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-8800-400000044-443−43−43430000000000000000000000000000000000000000000000000000000000000000000
χ878-8-8800-400000044-4−434343−430000000000000000000000000000000000000000000000000000000000000000000

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