Finite Group Databasebeta

← Group #10826339

Character table — Group #10826339

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222444444444444448888888888888888888888888881212121212121616161616242424242424242424242448
order12222222344446666666222244121212121212121244444666688881212121212122424242424242424222244412121212222222488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-11-1-1-1-1-1
χ41111111111111111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111
χ5111111111111111111111111-1-111-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-11111-1-111-1-1-111-1
χ6111111111111111111111111-1-111-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1111-1-11
χ7111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-1-1-1-111-1-11
χ8111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-111111-1-111-1
χ911111111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-11
χ1011111111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1
χ1111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1
χ1211111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ1311111111111111111111-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-11111-111-1-1-1
χ1411111111111111111111-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-11-1-1111
χ1511111111111111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111111-1-1-1-111-1-1-1-1-1111
χ1611111111111111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1111-1-111-1-111111-1-1-1
χ17222222222-2-2-2-22222222000022-2-22222-2-2-2000000000000-2-20000000000002222-2-200000000000-200000
χ18222222222-2-2-2-22222222000022-2-22222-2-2-2000000000000-2-2000000000000-2-2-2-22200000000000200000
χ19222222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-220000000000002200000000000022-2-2-2-200000000000200000
χ20222222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-2200000000000022000000000000-2-2222200000000000-200000
χ2122222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-2-2-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111000000-21111000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-1-11111-1-1-2-2-222-1-1-1-1-2-222111111-1-1-1-11111000000-211-1-1000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-1-11111-1-1-2-2-2-2-2-1-1-1-122-2-21111111111-1-1-1-10000002-1-111000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-2-2221111-2-2-2-2-1-11111111111110000002-1-1-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-2-2-2-211112222-1-11111-1-1-1-1-1-1-1-1000000-21111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-11111-1-1-22222111122-2-211-1-1-1-11111-1-1-1-1000000-211-1-1000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-11111-1-1-222-2-21111-2-22211-1-1-1-1-1-1-1-111110000002-1-111000000000000
χ2922-2-22-2-222-22-222-2-2-222-222-2-200-2-20000220000022-2-20000000000000000000000000000000002-20002-20
χ3022-2-22-2-222-22-222-2-2-222-222-2-200-2-20000220000022-2-2000000000000000000000000000000000-22000-220
χ3122-2-22-2-222-22-222-2-2-222-2-2-22200-2-200002200000-2-2220000000000000000000000000000000002-2000-220
χ3222-2-22-2-222-22-222-2-2-222-2-2-22200-2-200002200000-2-222000000000000000000000000000000000-220002-20
χ332-22-2-2-2222-2-222-222-2-22-22-22-2002-200002-20002-22-22-2002-200000022-2-200000000000002-2000000000000
χ342-22-2-2-2222-2-222-222-2-22-22-22-2002-200002-2000-222-22-200-22000000-2-2220000000000000-22000000000000
χ352-22-2-2-2222-2-222-222-2-22-2-22-22002-200002-20002-2-22-2200-22000000-2-22200000000000002-2000000000000
χ362-22-2-2-2222-2-222-222-2-22-2-22-22002-200002-2000-22-22-22002-200000022-2-20000000000000-22000000000000
χ372-22-2-2-222-1-2-2221-1-111-112-22-200-1133−3−3-110002-2-11-11002-23−333−3−3-1-11133−3−300000003−3-11000000000000
χ382-22-2-2-222-1-2-2221-1-111-112-22-200-1133−3−3-11000-22-11-1100-223−333−3−311-1-1−3−3330000000−331-1000000000000
χ392-22-2-2-222-1-2-2221-1-111-112-22-200-11−3−333-110002-2-11-11002-2−33−3−333-1-111−3−3330000000−33-11000000000000
χ402-22-2-2-222-1-2-2221-1-111-112-22-200-11−3−333-11000-22-11-1100-22−33−3−33311-1-133−3−300000003−31-1000000000000
χ412-22-2-2-222-1-2-2221-1-111-11-22-2200-1133−3−3-110002-21-11-100-223−3−3−33311-1-1−3−33300000003−3-11000000000000
χ422-22-2-2-222-1-2-2221-1-111-11-22-2200-1133−3−3-11000-221-11-1002-23−3−3−333-1-11133−3−30000000−331-1000000000000
χ432-22-2-2-222-1-2-2221-1-111-11-22-2200-11−3−333-110002-21-11-100-22−3333−3−311-1-133−3−30000000−33-11000000000000
χ442-22-2-2-222-1-2-2221-1-111-11-22-2200-11−3−333-11000-221-11-1002-2−3333−3−3-1-111−3−33300000003−31-1000000000000
χ452-2-22-22-2222-2-22-2-2-22-2222-2-2200-2200002-2000002-2-220000000000000000002-2002-2000002-20000000000
χ462-2-22-22-2222-2-22-2-2-22-2222-2-2200-2200002-2000002-2-22000000000000000000-2200-2200000-220000000000
χ472-2-22-22-2222-2-22-2-2-22-222-222-200-2200002-200000-222-20000000000000000002-2002-200000-220000000000
χ482-2-22-22-2222-2-22-2-2-22-222-222-200-2200002-200000-222-2000000000000000000-2200-22000002-20000000000
χ492-2-22-22-222-222-2-2-2-22-2220000002-20000-2202-20000000000002-22-2000000002-200-2200000002-200000000
χ502-2-22-22-222-222-2-2-2-22-2220000002-20000-2202-20000000000002-22-200000000-22002-20000000-2200000000
χ512-2-22-22-222-222-2-2-2-22-2220000002-20000-220-22000000000000-22-22000000002-200-220000000-2200000000
χ522-2-22-22-222-222-2-2-2-22-2220000002-20000-220-22000000000000-22-2200000000-22002-200000002-200000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-200004422-2-2-2-222-40000000000002200000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-20000-4-4222222224000000000000-2-200000000000000000000000000000000000
χ554444-4-4-4-44000044-44-4-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ564444-4-4-4-44000044-44-4-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ5744-4-44-4-4444-44-44-4-4-444-4000000440000-4-400000000000000000000000000000000000000000000000000
χ5844-4-44-4-44-24-44-4-2222-2-22000000-2-200002200000000000000023−23−23230000000000000000000000000000000
χ5944-4-44-4-44-24-44-4-2222-2-22000000-2-2000022000000000000000−232323−230000000000000000000000000000000
χ6044-4-44-4-44-2-44-44-2222-2-2244-4-400220000-2-200000-2-22200000000000000000000000000000000000000000
χ6144-4-44-4-44-2-44-44-2222-2-22-4-44400220000-2-20000022-2-200000000000000000000000000000000000000000
χ6244-4-4-444-4400004-44-4-4-4400004-4004-44-40000000000000000000000000000000000000000000000000000
χ6344-4-4-444-4400004-44-4-4-440000-4400-44-440000000000000000000000000000000000000000000000000000
χ6444-4-4-444-4-20000-22-2222-200004-400-22-220000000000000000000006−66−66−66−600000000000000000000000
χ6544-4-4-444-4-20000-22-2222-200004-400-22-22000000000000000000000−66−66−66−6600000000000000000000000
χ6644-4-4-444-4-20000-22-2222-20000-44002-22-20000000000000000000006−66−6−66−6600000000000000000000000
χ6744-4-4-444-4-20000-22-2222-20000-44002-22-2000000000000000000000−66−666−66−600000000000000000000000
χ684-44-444-4-440000-44-4-44-4400000000000000000000000000000000000000000004-40000000000000000000
χ694-44-444-4-440000-44-4-44-440000000000000000000000000000000000000000000-440000000000000000000
χ704-44-4-4-444444-4-4-444-4-44-4000000-440000-4400000000000000000000000000000000000000000000000000
χ714-44-4-4-444-244-4-42-2-222-220000002-22323−23−232-20000000000000−232300000000000000000000000000000000000
χ724-44-4-4-444-244-4-42-2-222-220000002-2−23−2323232-2000000000000023−2300000000000000000000000000000000000
χ734-4-444-44-440000-4-4444-4-40000000000000000000000022−2200000000000022−22−222200000000000000000000000
χ744-4-444-44-440000-4-4444-4-400000000000000000000000−2222000000000000−222222−2200000000000000000000000
χ754-4-444-44-4-2000022-2-2-2220000000023−23−23230000000000022−2200000000−666−6−222−200000000000000000000000
χ764-4-444-44-4-2000022-2-2-2220000000023−23−232300000000000−2222000000006−6−662−2−2200000000000000000000000
χ774-4-444-44-4-2000022-2-2-22200000000−232323−230000000000022−22000000006−6−66−222−200000000000000000000000
χ784-4-444-44-4-2000022-2-2-22200000000−232323−2300000000000−222200000000−666−62−2−2200000000000000000000000
χ794-4-44-44-44-24-4-44222-22-2-24-4-44002-20000-2200000-222-200000000000000000000000000000000000000000
χ804-4-44-44-44-24-4-44222-22-2-2-444-4002-20000-22000002-2-2200000000000000000000000000000000000000000
χ814-4-44-44-44-2-444-4222-22-2-2000000-2200002-204-4000000000000-22-220000000000000000000000000000000
χ824-4-44-44-44-2-444-4222-22-2-2000000-2200002-20-440000000000002-22-20000000000000000000000000000000
χ838888-8-8-8-8-40000-4-44-44440000000000000000000000000000000000000000000000000000000000000000
χ848-88-888-8-8-400004-444-44-40000000000000000000000000000000000000000000000000000000000000000

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