Finite Group Databasebeta

← Group #10826349

Character table — Group #10826349

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444444444444888888888888888888888888121212121616161616162424242424242424242424242424
order122222223444466666662222224412121212121212124466666688881212121224242424242424242244441212121222222244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-111-1-11111-1-1-11-1-111-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-1-11111-1-111-11-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1-111-1-111-1-11-11111-1-1
χ911111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ1011111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ1111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1
χ1211111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111
χ1311111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-11-1-111-1-1-1-111-111111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-11-1-1111111-1-11-1-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11-111-1-1-1-111-1-1-1111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111-111-1-111-1-1111-1-1-111-1-1
χ17222222222-2-2-2-22222222000022-2-2-2-2-2-2-2-2-2-200000022000000000000000022-2-20000000000002-2000000
χ18222222222-2-2-2-22222222000022-2-2-2-2-2-2-2-2-2-2000000220000000000000000-2-222000000000000-22000000
χ19222222222-2-2-2-222222220000-2-222-2-22222-2-2000000-2-200000000000000002222000000000000-2-2000000
χ20222222222-2-2-2-222222220000-2-222-2-22222-2-2000000-2-20000000000000000-2-2-2-200000000000022000000
χ2122222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000-2-2111100000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-11111-1-1-2-2-1-1-1-11122-2-21111-1-1-1-1111100002-2-1-11100000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-11111-1-1-2-2-1-1-1-111-2-22211111111-1-1-1-10000-2211-1-100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-1-122221111-1-1-1-1-1-1-1-10000-2-2111100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-1-1-2-2-2-2111111111111000022-1-1-1-100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-11111-1-12211111122-2-2-1-1-1-1-1-1-1-111110000-2211-1-100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-11111-1-122111111-2-222-1-1-1-11111-1-1-1-100002-2-1-11100000000000000
χ2922-22-2-22-22-22-222-2-2-22-2222-2-200002-200002-20022-2-20000000000000000000000000000002-20000002-200
χ3022-22-2-22-22-22-222-2-2-22-2222-2-200002-200002-20022-2-2000000000000000000000000000000-22000000-2200
χ3122-22-2-22-22-22-222-2-2-22-22-2-22200002-200002-200-2-2220000000000000000000000000000002-2000000-2200
χ3222-22-2-22-22-22-222-2-2-22-22-2-22200002-200002-200-2-222000000000000000000000000000000-220000002-200
χ332-22-22-22-22-2-222-22-2-2-2222-22-200002-20000-22002-22-2000000000000000000000000000000002-20000002-2
χ342-22-22-22-22-2-222-22-2-2-2222-22-200002-20000-22002-22-200000000000000000000000000000000-22000000-22
χ352-22-22-22-22-2-222-22-2-2-222-22-2200002-20000-2200-22-22000000000000000000000000000000002-2000000-22
χ362-22-22-22-22-2-222-22-2-2-222-22-2200002-20000-2200-22-2200000000000000000000000000000000-220000002-2
χ372-2-2-2-222222-2-22-2-222-2-222-2-222-22-22222-2-2-2-22-22-2-222-2000022-2-200000000000000000000000000000000
χ382-2-2-2-222222-2-22-2-222-2-222-2-22-22-2222-2-222-2-2-222-2-22-220000-2-22200000000000000000000000000000000
χ392-2-2-2-222222-2-22-2-222-2-22-222-22-22-22222-2-2-2-2-22-222-22-20000-2-22200000000000000000000000000000000
χ402-2-2-2-222222-2-22-2-222-2-22-222-2-22-2222-2-222-2-22-2-222-2-22000022-2-200000000000000000000000000000000
χ412-2-2-2-22222-222-2-2-222-2-2200002-2-22-2-2-2-222220000002-2000000000000000000000000002-20000002-20000
χ422-2-2-2-22222-222-2-2-222-2-2200002-2-22-2-2-2-222220000002-200000000000000000000000000-22000000-220000
χ432-2-2-2-22222-222-2-2-222-2-220000-222-2-2-222-2-222000000-22000000000000000000000000002-2000000-220000
χ442-2-2-2-22222-222-2-2-222-2-220000-222-2-2-222-2-222000000-2200000000000000000000000000-220000002-20000
χ452-2-2-2-2222-12-2-2211-1-111-12-2-222-22-2-1-1-1-111112-2-111-1-110000-1-11133−3−333−3−30000003−33−300000000000000
χ462-2-2-2-2222-12-2-2211-1-111-12-2-222-22-2-1-1-1-111112-2-111-1-110000-1-111−3−333−3−333000000−33−3300000000000000
χ472-2-2-2-2222-12-2-2211-1-111-12-2-22-22-22-1-111-1-111-22-111-11-1000011-1-133−3−3−3−3330000003−3−3300000000000000
χ482-2-2-2-2222-12-2-2211-1-111-12-2-22-22-22-1-111-1-111-22-111-11-1000011-1-1−3−33333−3−3000000−333−300000000000000
χ492-2-2-2-2222-12-2-2211-1-111-1-222-22-22-2-1-1-1-11111-221-1-11-11000011-1-133−3−333−3−3000000−33−3300000000000000
χ502-2-2-2-2222-12-2-2211-1-111-1-222-22-22-2-1-1-1-11111-221-1-11-11000011-1-1−3−333−3−3330000003−33−300000000000000
χ512-2-2-2-2222-12-2-2211-1-111-1-222-2-22-22-1-111-1-1112-21-1-111-10000-1-11133−3−3−3−333000000−333−300000000000000
χ522-2-2-2-2222-12-2-2211-1-111-1-222-2-22-22-1-111-1-1112-21-1-111-10000-1-111−3−33333−3−30000003−3−3300000000000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-2000044-4-422222222000000-2-20000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-20000-4-44422-2-2-2-222000000220000000000000000000000000000000000000000
χ55444-4-44-4-440000444-4-4-4-40000000000000000000000000000000000000000004i−4i00000000000000000000
χ56444-4-44-4-440000444-4-4-4-4000000000000000000000000000000000000000000−4i4i00000000000000000000
χ5744-44-4-44-444-44-44-4-4-44-4400000000-440000-44000000000000000000000000000000000000000000000000
χ5844-44-4-44-4-24-44-4-2222-22-2000000002-200002-2000000000000−2i32i3−2i32i300000000000000000000000000000000
χ5944-44-4-44-4-24-44-4-2222-22-2000000002-200002-20000000000002i3−2i32i3−2i300000000000000000000000000000000
χ6044-44-4-44-4-2-44-44-2222-22-244-4-40000-220000-2200-2-222000000000000000000000000000000000000000000
χ6144-44-4-44-4-2-44-44-2222-22-2-4-4440000-220000-220022-2-2000000000000000000000000000000000000000000
χ6244-4-44-4-44400004-4-44-44-40000000000000000000000000022−220000000022−2222−22000000000000000000000000
χ6344-4-44-4-44400004-4-44-44-400000000000000000000000000−222200000000−2222−2222000000000000000000000000
χ6444-4-44-4-44-20000-222-22-22000000000023−2323−2300000000000022−2200006−66−6−22−22000000000000000000000000
χ6544-4-44-4-44-20000-222-22-22000000000023−2323−23000000000000−22220000−66−662−22−2000000000000000000000000
χ6644-4-44-4-44-20000-222-22-220000000000−2323−232300000000000022−220000−66−66−22−22000000000000000000000000
χ6744-4-44-4-44-20000-222-22-220000000000−2323−2323000000000000−222200006−66−62−22−2000000000000000000000000
χ684-444-4-4-4440000-44-444-4-400000000000000000000000022−2200000022−22−22220000000000000000000000000000
χ694-444-4-4-4440000-44-444-4-4000000000000000000000000−2222000000−222222−220000000000000000000000000000
χ704-444-4-4-44-200002-22-2-222000000000023−23−2323000000000022−22000000−222−2−666−6000000000000000000000000
χ714-444-4-4-44-200002-22-2-222000000000023−23−23230000000000−22220000002−2−226−6−66000000000000000000000000
χ724-444-4-4-44-200002-22-2-2220000000000−232323−23000000000022−22000000−222−26−6−66000000000000000000000000
χ734-444-4-4-44-200002-22-2-2220000000000−232323−230000000000−22220000002−2−22−666−6000000000000000000000000
χ744-44-44-44-4444-4-4-44-4-4-44400000000-4400004-4000000000000000000000000000000000000000000000000
χ754-44-44-44-4-244-4-42-2222-2-2000000002-20000-22000000000000−2i32i32i3−2i300000000000000000000000000000000
χ764-44-44-44-4-244-4-42-2222-2-2000000002-20000-220000000000002i3−2i3−2i32i300000000000000000000000000000000
χ774-44-44-44-4-2-4-4442-2222-2-24-44-40000-2200002-200-22-22000000000000000000000000000000000000000000
χ784-44-44-44-4-2-4-4442-2222-2-2-44-440000-2200002-2002-22-2000000000000000000000000000000000000000000
χ794-4-4444-4-440000-4-44-444-400000000000000000000000000000000000000004-40000000000000000000000
χ804-4-4444-4-440000-4-44-444-40000000000000000000000000000000000000000-440000000000000000000000
χ814-4-4-4-4444-2-444-422-2-222-200004-4-442222-2-2-2-2000000-220000000000000000000000000000000000000000
χ824-4-4-4-4444-2-444-422-2-222-20000-444-422-2-222-2-20000002-20000000000000000000000000000000000000000
χ83888-8-88-8-8-40000-4-4-444440000000000000000000000000000000000000000000000000000000000000000
χ848-8-8888-8-8-4000044-44-4-440000000000000000000000000000000000000000000000000000000000000000

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