Finite Group Databasebeta

← Group #10877312

Character table — Group #10877312

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888888888888888824242424242424242424242424242424
order122222223444466666662244444412121212121212121212121222444444446666661212121212121212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1
χ911111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ1111111111111111111111-1-1-1-11111111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-11111111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-111-1-1-1-111
χ17222222222-2-2-2-2222222222-2-222-2-2-2-2-2-22222-2-2-2-200-20020000220000-2-2-2-2000000002200000000000000000000
χ18222222222-2-2-2-2222222222-2-2-2-222-2-2-2-2-2-2-2-2222200200-20000220000-2-22200000000-2-200000000000000000000
χ19222222222-2-2-2-22222222-2-22222-2-2-2-2-2-22222-2-2-2-200200-20000-2-20000222200000000-2-200000000000000000000
χ20222222222-2-2-2-22222222-2-222-2-222-2-2-2-2-2-2-2-2222200-20020000-2-2000022-2-2000000002200000000000000000000
χ2122222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-22-2-2-2-2-1-11111-1-1-1-111111111-1-111110000000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111111122-222-2-2-2-2-2-1-1-1-1-1-1-1-111-1-1-1-111111111110000000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2-2-2-2-2-22222-1-11111-1-1111111-1-1-1-111-1-1-1-10000000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-211-1-1-1-111111111111111-1-1-1-10000000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-222-2-2-2221111111111-1-1-1-1-1-1-1-11111110000000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111222-2-22-2-22211-1-1-1-111-1-11111-1-1-1-1-1-111110000000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-2-2222222-2-211111111-1-1-1-1-1-11111-1-1-1-1-1-10000000000000000
χ2922222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-1111100-20020000-1-1−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i3-1-1−i3−i3i3i30000000000000000
χ3022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-1111100-20020000-1-1i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i3-1-1i3i3−i3−i30000000000000000
χ3122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-100200-20000-1-1−i3−i3i3i311-1-1−i3−i3i3i3i3i3−i3−i311i3i3−i3−i30000000000000000
χ3222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-100200-20000-1-1i3i3−i3−i311-1-1i3i3−i3−i3−i3−i3i3i311−i3−i3i3i30000000000000000
χ3322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1111100200-2000011−i3−i3i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i311−i3−i3i3i30000000000000000
χ3422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1111100200-2000011i3i3−i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i311i3i3−i3−i30000000000000000
χ3522222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100-2002000011−i3−i3i3i3-1-111i3i3−i3−i3−i3−i3i3i3-1-1i3i3−i3−i30000000000000000
χ3622222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100-2002000011i3i3−i3−i3-1-111−i3−i3i3i3i3i3−i3−i3-1-1−i3−i3i3i30000000000000000
χ372222-2-2-2-2222-2-22-222-2-2-22-22-2000022-2-2000000002-202-2000002-22-22-22-2002-22-200000000000000000000000000
χ382222-2-2-2-2222-2-22-222-2-2-22-22-2000022-2-200000000-220-22000002-2-22-222-200-22-2200000000000000000000000000
χ392222-2-2-2-2222-2-22-222-2-2-2-22-22000022-2-2000000002-20-2200000-222-22-2-2200-22-2200000000000000000000000000
χ402222-2-2-2-2222-2-22-222-2-2-2-22-22000022-2-200000000-2202-200000-22-22-22-22002-22-200000000000000000000000000
χ412222-2-2-2-22-2-2222-222-2-2-22-2-220000-2-222000000000000002i−2i2i−2i2-20000-220000002i−2i2i−2i002i−2i2i−2i0000000000000000
χ422222-2-2-2-22-2-2222-222-2-2-22-2-220000-2-22200000000000000−2i2i−2i2i2-20000-22000000−2i2i−2i2i00−2i2i−2i2i0000000000000000
χ432222-2-2-2-22-2-2222-222-2-2-2-222-20000-2-222000000000000002i−2i−2i2i-2200002-2000000−2i2i−2i2i002i−2i2i−2i0000000000000000
χ442222-2-2-2-22-2-2222-222-2-2-2-222-20000-2-22200000000000000−2i2i2i−2i-2200002-20000002i−2i2i−2i00−2i2i−2i2i0000000000000000
χ452222-2-2-2-2-122-2-2-11-1-11112-22-20000-1-11133−3−333−3−32-202-200000-11-11-11-113−3-11-113−3−333−33−3−330000000000000000
χ462222-2-2-2-2-122-2-2-11-1-11112-22-20000-1-11133−3−333−3−3-220-2200000-111-11-1-113−31-11-1−333−33−3−333−30000000000000000
χ472222-2-2-2-2-122-2-2-11-1-11112-22-20000-1-111−3−333−3−3332-202-200000-11-11-11-11−33-11-11−333−3−33−333−30000000000000000
χ482222-2-2-2-2-122-2-2-11-1-11112-22-20000-1-111−3−333−3−333-220-2200000-111-11-1-11−331-11-13−3−33−333−3−330000000000000000
χ492222-2-2-2-2-122-2-2-11-1-1111-22-220000-1-11133−3−333−3−32-20-22000001-1-11-111-1−331-11-1−333−3−333−3−330000000000000000
χ502222-2-2-2-2-122-2-2-11-1-1111-22-220000-1-11133−3−333−3−3-2202-2000001-11-11-11-1−33-11-113−3−33−33−333−30000000000000000
χ512222-2-2-2-2-122-2-2-11-1-1111-22-220000-1-111−3−333−3−3332-20-22000001-1-11-111-13−31-11-13−3−333−3−333−30000000000000000
χ522222-2-2-2-2-122-2-2-11-1-1111-22-220000-1-111−3−333−3−333-2202-2000001-11-11-11-13−3-11-11−333−33−33−3−330000000000000000
χ532222-2-2-2-2-1-2-222-11-1-11112-2-22000011-1-133−3−3−3−3330000002i−2i2i−2i-11−i3i3i3−i31-1−33−i3i3i3−i3−ii−ii3−3−ii−ii0000000000000000
χ542222-2-2-2-2-1-2-222-11-1-11112-2-22000011-1-133−3−3−3−333000000−2i2i−2i2i-11i3−i3−i3i31-1−33i3−i3−i3i3i−ii−i3−3i−ii−i0000000000000000
χ552222-2-2-2-2-1-2-222-11-1-11112-2-22000011-1-1−3−33333−3−30000002i−2i2i−2i-11i3−i3−i3i31-13−3i3−i3−i3i3−ii−ii−33−ii−ii0000000000000000
χ562222-2-2-2-2-1-2-222-11-1-11112-2-22000011-1-1−3−33333−3−3000000−2i2i−2i2i-11−i3i3i3−i31-13−3−i3i3i3−i3i−ii−i−33i−ii−i0000000000000000
χ572222-2-2-2-2-1-2-222-11-1-1111-222-2000011-1-133−3−3−3−3330000002i−2i−2i2i1-1−i3i3i3−i3-113−3i3−i3−i3i3i−ii−i−33−ii−ii0000000000000000
χ582222-2-2-2-2-1-2-222-11-1-1111-222-2000011-1-133−3−3−3−333000000−2i2i2i−2i1-1i3−i3−i3i3-113−3−i3i3i3−i3−ii−ii−33i−ii−i0000000000000000
χ592222-2-2-2-2-1-2-222-11-1-1111-222-2000011-1-1−3−33333−3−30000002i−2i−2i2i1-1i3−i3−i3i3-11−33−i3i3i3−i3i−ii−i3−3−ii−ii0000000000000000
χ602222-2-2-2-2-1-2-222-11-1-1111-222-2000011-1-1−3−33333−3−3000000−2i2i2i−2i1-1−i3i3i3−i3-11−33i3−i3−i3i3−ii−ii3−3i−ii−i0000000000000000
χ612-22-222-2-222-22-2-2-22-22-2200002-22-22-22-22-22-22-22-20000000000000000000000000000000000002i−2i002i−2i00000000
χ622-22-222-2-222-22-2-2-22-22-2200002-22-22-22-22-22-22-22-2000000000000000000000000000000000000−2i2i00−2i2i00000000
χ632-22-222-2-222-22-2-2-22-22-220000-22-222-22-2-22-22-22-220000000000000000000000000000000000002i−2i00−2i2i00000000
χ642-22-222-2-222-22-2-2-22-22-220000-22-222-22-2-22-22-22-22000000000000000000000000000000000000−2i2i002i−2i00000000
χ652-22-222-2-22-22-22-2-22-22-2200002-2-22-22-222-22-2-22-2200000000000000000000000000000000002i−2i002i−2i0000000000
χ662-22-222-2-22-22-22-2-22-22-2200002-2-22-22-222-22-2-22-220000000000000000000000000000000000−2i2i00−2i2i0000000000
χ672-22-222-2-22-22-22-2-22-22-220000-222-2-22-22-22-222-22-200000000000000000000000000000000002i−2i00−2i2i0000000000
χ682-22-222-2-22-22-22-2-22-22-220000-222-2-22-22-22-222-22-20000000000000000000000000000000000−2i2i002i−2i0000000000
χ6944-4-44-4-444000044-4-44-4-400000000000000000000000000000000000000000000000000000000000000−2i22i2000000
χ7044-4-44-4-444000044-4-44-4-4000000000000000000000000000000000000000000000000000000000000002i2−2i2000000
χ7144-4-4-444-4400004-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000−2i22i20000
χ7244-4-4-444-4400004-4-4-4-44400000000000000000000000000000000000000000000000000000000000000002i2−2i20000
χ734-44-444-4-4-24-44-422-22-22-200004-44-4-22-22-22-22-22-2200000000000000000000000000000000000000000000000000
χ744-44-444-4-4-24-44-422-22-22-20000-44-44-22-222-22-22-22-200000000000000000000000000000000000000000000000000
χ754-44-444-4-4-2-44-4422-22-22-200004-4-442-22-2-22-222-22-200000000000000000000000000000000000000000000000000
χ764-44-444-4-4-2-44-4422-22-22-20000-444-42-22-22-22-2-22-2200000000000000000000000000000000000000000000000000
χ774-44-4-4-44444-4-44-444-4-44-4000000004-4-440000000000000000000000000000000000000000000000000000000000
χ784-44-4-4-4444-444-4-444-4-44-400000000-444-40000000000000000000000000000000000000000000000000000000000
χ794-44-4-4-444-24-4-442-2-222-2200000000-222-223−23−232323−23−232300000000000000000000000000000000000000000000000000
χ804-44-4-4-444-24-4-442-2-222-2200000000-222-2−232323−23−232323−2300000000000000000000000000000000000000000000000000
χ814-44-4-4-444-2-444-42-2-222-22000000002-2-2223−23−2323−232323−2300000000000000000000000000000000000000000000000000
χ824-44-4-4-444-2-444-42-2-222-22000000002-2-22−232323−2323−23−232300000000000000000000000000000000000000000000000000
χ834-4-444-44-440000-4-4-4444-4000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ844-4-444-44-440000-4-4-4444-40000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ854-4-44-44-4440000-44-44-4-440000000000000000000000000000000000000000000000000000000000000000000022−22
χ864-4-44-44-4440000-44-44-4-4400000000000000000000000000000000000000000000000000000000000000000000−2222
χ8788-8-88-8-88-40000-4-444-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-888-8-40000-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-888-88-8-40000444-4-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ908-8-88-88-88-400004-44-444-40000000000000000000000000000000000000000000000000000000000000000000000

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