Finite Group Databasebeta

← Group #10848595

Character table — Group #10848595

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222224444444444444444444444448888888888888888888888888888888812121212121212122424242448484848
order122222344444444666444444661212121212121212121212121212121224444444446612121212121212121212121212121212121212124444444488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ91111111-1-1-1-11111111-1-1111111-1-1-1-1111111111111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1
χ101111111-1-1-1-11111111-1-1111111-1-1-1-1111111111111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-11
χ111111111-1-1-1-11111111-1-1111111-1-1-1-1111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-11-11
χ121111111-1-1-1-11111111-1-1111111-1-1-1-1111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ131111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-111-1
χ141111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-11
χ151111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111-1-11
χ161111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-111-1
χ17222222222-2-2-2-2-2-22222-200002222-2-200000000-2-2-2-20000002-22-2002-2000000000022-2-222-2-20000000000000000
χ18222222222-2-2-2-2-2-22222-200002222-2-200000000-2-2-2-2000000-22-22002-20000000000-2-222-2-2220000000000000000
χ192222222-2-222-2-2-2-2222-22000022-2-22200000000-2-2-2-20000002-2-2200-22000000000022-2-2-2-2220000000000000000
χ202222222-2-222-2-2-2-2222-22000022-2-22200000000-2-2-2-2000000-222-200-220000000000-2-22222-2-20000000000000000
χ21222222-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ22222222-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-22-2-2-2-2-1-1-1-111111111-1-1111111110000000000000000
χ23222222-122222222-1-1-122-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-22222-2-2-2-2-211-1-1-1-1-1-1-1-1-1-111111111110000000000000000
χ24222222-122222222-1-1-122-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-2222211-1-11111111111-1-1-1-1-1-1-1-10000000000000000
χ25222222-122-2-2-2-2-2-2-1-1-12-20000-1-1-1-111−i3−i3−i3−i3i3i3i3i311110000002-22-2−i3i3-11−i3−i3i3i3−i3−i3i3i3−i3i3-1-111-1-1110000000000000000
χ26222222-122-2-2-2-2-2-2-1-1-12-20000-1-1-1-111−i3−i3−i3−i3i3i3i3i31111000000-22-22−i3i3-11i3i3−i3−i3i3i3−i3−i3−i3i311-1-111-1-10000000000000000
χ27222222-122-2-2-2-2-2-2-1-1-12-20000-1-1-1-111i3i3i3i3−i3−i3−i3−i311110000002-22-2i3−i3-11i3i3−i3−i3i3i3−i3−i3i3−i3-1-111-1-1110000000000000000
χ28222222-122-2-2-2-2-2-2-1-1-12-20000-1-1-1-111i3i3i3i3−i3−i3−i3−i31111000000-22-22i3−i3-11−i3−i3i3i3−i3−i3i3i3i3−i311-1-111-1-10000000000000000
χ29222222-1-2-222-2-2-2-2-1-1-1-220000-1-111-1-1−i3−i3−i3−i3i3i3i3i311110000002-2-22i3−i31-1−i3−i3i3i3i3i3−i3−i3i3−i3-1-11111-1-10000000000000000
χ30222222-1-2-222-2-2-2-2-1-1-1-220000-1-111-1-1−i3−i3−i3−i3i3i3i3i31111000000-222-2i3−i31-1i3i3−i3−i3−i3−i3i3i3i3−i311-1-1-1-1110000000000000000
χ31222222-1-2-222-2-2-2-2-1-1-1-220000-1-111-1-1i3i3i3i3−i3−i3−i3−i311110000002-2-22−i3i31-1i3i3−i3−i3−i3−i3i3i3−i3i3-1-11111-1-10000000000000000
χ32222222-1-2-222-2-2-2-2-1-1-1-220000-1-111-1-1i3i3i3i3−i3−i3−i3−i31111000000-222-2−i3i31-1−i3−i3i3i3i3i3−i3−i3−i3i311-1-1-1-1110000000000000000
χ33222222-1-2-2-2-22222-1-1-1-2-22222-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-222-2-21111-1-1-1-1111111-1-1-1-111110000000000000000
χ34222222-1-2-2-2-22222-1-1-1-2-22222-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-222-2-2-22211111111-1-1-1-1111111-1-1-1-10000000000000000
χ35222222-1-2-2-2-22222-1-1-1-2-2-2-2-2-2-1-1111111111111-1-1-1-1222-2-22-2-222-1-111-1-1-1-11111-1-11111-1-1-1-10000000000000000
χ36222222-1-2-2-2-22222-1-1-1-2-2-2-2-2-2-1-1111111111111-1-1-1-12-2-222222-2-2-1-1111111-1-1-1-1-1-1-1-1-1-111110000000000000000
χ372222-2-222222-222-2222-2-20000-2-222220000000022-2-202-22-20000000-2-22-22-22-22-200000000000000000000000000
χ382222-2-222222-222-2222-2-20000-2-222220000000022-2-20-22-220000000-2-2-22-22-22-2200000000000000000000000000
χ392222-2-2222-2-22-2-22222-2222-2-2-2-222-2-222-2-222-2-2-2-22220000-2000022-2200000000-2-2000000000000000000000000
χ402222-2-2222-2-22-2-22222-22-2-222-2-222-2-2-2-222-2-222-2-222-2000020000-2-2-220000000022000000000000000000000000
χ412222-2-22-2-2222-2-222222-222-2-2-2-2-2-22222-2-222-2-2-2-222-2000020000-2-22-20000000022000000000000000000000000
χ422222-2-22-2-2222-2-222222-2-2-222-2-2-2-222-2-222-2-222-2-22220000-20000222-200000000-2-2000000000000000000000000
χ432222-2-22-2-2-2-2-222-2222220000-2-2-2-2-2-20000000022-2-202-2-220000000222-22-2-22-2200000000000000000000000000
χ442222-2-22-2-2-2-2-222-2222220000-2-2-2-2-2-20000000022-2-20-222-2000000022-22-222-22-200000000000000000000000000
χ452222-2-2-12222-222-2-1-1-1-2-2000011-1-1-1-1−i3−i3i3i3i3i3−i3−i3-1-11102-22-200000−i3i311-11-11-11-11i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ462222-2-2-12222-222-2-1-1-1-2-2000011-1-1-1-1−i3−i3i3i3i3i3−i3−i3-1-1110-22-2200000−i3i3111-11-11-11-1i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ472222-2-2-12222-222-2-1-1-1-2-2000011-1-1-1-1i3i3−i3−i3−i3−i3i3i3-1-11102-22-200000i3−i311-11-11-11-11−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ482222-2-2-12222-222-2-1-1-1-2-2000011-1-1-1-1i3i3−i3−i3−i3−i3i3i3-1-1110-22-2200000i3−i3111-11-11-11-1−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ492222-2-2-122-2-22-2-22-1-1-1-2222-2-211-1-111-1-111-1-11111-1-120000-20000-1-11-1−i3i3i3−i3−i3i3i3−i311−i3i3i3−i3−i3i3i3−i30000000000000000
χ502222-2-2-122-2-22-2-22-1-1-1-2222-2-211-1-111-1-111-1-11111-1-120000-20000-1-11-1i3−i3−i3i3i3−i3−i3i311i3−i3−i3i3i3−i3−i3i30000000000000000
χ512222-2-2-122-2-22-2-22-1-1-1-22-2-22211-1-11111-1-111-1-111-1-1-2000020000111-1−i3i3i3−i3−i3i3i3−i3-1-1i3−i3−i3i3i3−i3−i3i30000000000000000
χ522222-2-2-122-2-22-2-22-1-1-1-22-2-22211-1-11111-1-111-1-111-1-1-2000020000111-1i3−i3−i3i3i3−i3−i3i3-1-1−i3i3i3−i3−i3i3i3−i30000000000000000
χ532222-2-2-1-2-2222-2-22-1-1-12-222-2-21111-1-1-1-111-1-11111-1-1-200002000011-11−i3i3i3−i3i3−i3−i3i3-1-1−i3i3i3−i3i3−i3−i3i30000000000000000
χ542222-2-2-1-2-2222-2-22-1-1-12-222-2-21111-1-1-1-111-1-11111-1-1-200002000011-11i3−i3−i3i3−i3i3i3−i3-1-1i3−i3−i3i3−i3i3i3−i30000000000000000
χ552222-2-2-1-2-2222-2-22-1-1-12-2-2-2221111-1-111-1-111-1-111-1-120000-20000-1-1-11−i3i3i3−i3i3−i3−i3i311i3−i3−i3i3−i3i3i3−i30000000000000000
χ562222-2-2-1-2-2222-2-22-1-1-12-2-2-2221111-1-111-1-111-1-111-1-120000-20000-1-1-11i3−i3−i3i3−i3i3i3−i311−i3i3i3−i3i3−i3−i3i30000000000000000
χ572222-2-2-1-2-2-2-2-222-2-1-1-1220000111111−i3−i3i3i3i3i3−i3−i3-1-11102-2-2200000i3−i3-1-1-11-111-11-1−i3i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ582222-2-2-1-2-2-2-2-222-2-1-1-1220000111111−i3−i3i3i3i3i3−i3−i3-1-1110-222-200000i3−i3-1-11-11-1-11-11−i3i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ592222-2-2-1-2-2-2-2-222-2-1-1-1220000111111i3i3−i3−i3−i3−i3i3i3-1-11102-2-2200000−i3i3-1-1-11-111-11-1i3−i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ602222-2-2-1-2-2-2-2-222-2-1-1-1220000111111i3i3−i3−i3−i3−i3i3i3-1-1110-222-200000−i3i3-1-11-11-1-11-11i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ612-2-222-22000022-2-2-2-22002i−2i2i−2i2-200002i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000000000000022-2-2002i−2i0000
χ622-2-222-22000022-2-2-2-22002i−2i2i−2i2-200002i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000000000000000000-2-22200−2i2i0000
χ632-2-222-22000022-2-2-2-2200−2i2i−2i2i2-20000−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000000000000022-2-200−2i2i0000
χ642-2-222-22000022-2-2-2-2200−2i2i−2i2i2-20000−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000000000000000-2-222002i−2i0000
χ652-2-22-22200002-22-2-2-22002i−2i−2i2i-2200002i−2i−2i2i2i−2i−2i2i-222-20000000000000000000000000000000022-2-200002i−2i000000
χ662-2-22-22200002-22-2-2-22002i−2i−2i2i-2200002i−2i−2i2i2i−2i−2i2i-222-200000000000000000000000000000000-2-2220000−2i2i000000
χ672-2-22-22200002-22-2-2-2200−2i2i2i−2i-220000−2i2i2i−2i−2i2i2i−2i-222-20000000000000000000000000000000022-2-20000−2i2i000000
χ682-2-22-22200002-22-2-2-2200−2i2i2i−2i-220000−2i2i2i−2i−2i2i2i−2i-222-200000000000000000000000000000000-2-22200002i−2i000000
χ6944-4-4004004-400004-4-400000000004-4000000000000000000000000000000000000000000002-22-22-22-200000000
χ7044-4-4004004-400004-4-400000000004-400000000000000000000000000000000000000000000-22-22-22-2200000000
χ7144-4-400400-4400004-4-40000000000-44000000000000000000000000000000000000000000002-22-2-22-2200000000
χ7244-4-400400-4400004-4-40000000000-4400000000000000000000000000000000000000000000-22-222-22-200000000
χ734-44-40044-4000000-44-4000000004-400000000000000000000000000000000000000000000002-2-222-2-2200000000
χ744-44-40044-4000000-44-4000000004-40000000000000000000000000000000000000000000000-222-2-222-200000000
χ754-44-4004-44000000-44-400000000-4400000000000000000000000000000000000000000000002-2-22-222-200000000
χ764-44-4004-44000000-44-400000000-440000000000000000000000000000000000000000000000-222-22-2-2200000000
χ774-4-444-440000-4-444-4-440000004-4000000000000-44-44000000000000000000000000000000000000000000000000
χ784-4-444-4-2000044-4-422-2004i−4i4i−4i-220000−2i2i−2i2i−2i2i−2i2i-22-22000000000000000000000000000000000000000000000000
χ794-4-444-4-2000044-4-422-200−4i4i−4i4i-2200002i−2i2i−2i2i−2i2i−2i-22-22000000000000000000000000000000000000000000000000
χ804-4-444-4-20000-4-44422-2000000-22000023−2323−23−2323−23232-22-2000000000000000000000000000000000000000000000000
χ814-4-444-4-20000-4-44422-2000000-220000−2323−232323−2323−232-22-2000000000000000000000000000000000000000000000000
χ824-4-44-4440000-44-44-4-44000000-440000000000004-4-44000000000000000000000000000000000000000000000000
χ834-4-44-44-200004-44-422-2004i−4i−4i4i2-20000−2i2i2i−2i−2i2i2i−2i2-2-22000000000000000000000000000000000000000000000000
χ844-4-44-44-200004-44-422-200−4i4i4i−4i2-200002i−2i−2i2i2i−2i−2i2i2-2-22000000000000000000000000000000000000000000000000
χ854-4-44-44-20000-44-4422-20000002-2000023−23−2323−232323−23-222-2000000000000000000000000000000000000000000000000
χ864-4-44-44-20000-44-4422-20000002-20000−232323−2323−23−2323-222-2000000000000000000000000000000000000000000000000
χ8788-8-800-4008-80000-4440000000000-44000000000000000000000000000000000000000000000000000000000000
χ8888-8-800-400-880000-44400000000004-4000000000000000000000000000000000000000000000000000000000000
χ898-88-800-48-80000004-4400000000-4400000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-880000004-44000000004-400000000000000000000000000000000000000000000000000000000000000

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