Finite Group Databasebeta

← Group #10826849

Character table — Group #10826849

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222224444444444444444444444448888888888888888888888888888888812121212121212122424242448484848
order1222223444444446662244446612121212121212121212121212121212222244444466666666661212121212121212121212124444444422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1
χ91111111-1-1-1-11111111-1-11111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11-1
χ101111111-1-1-1-11111111-1-11111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11
χ111111111-1-1-1-11111111-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-11-11
χ121111111-1-1-1-11111111-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-11-1
χ131111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111-1-11
χ141111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-111-1
χ151111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-11-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-1
χ161111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-11-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-11-1-11
χ1722222222222-2-2-2-2222-2-222-2-222-2-2-2-222222222-2-2-2-22-200000000-2-222-2-200000000000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2200000000-2-2-2-22200000000000000000000000000000000
χ192222222-2-2-2-2-2-2-2-22222222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-220000000022-2-22200000000000000000000000000000000
χ202222222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222-2000000002222-2-200000000000000000000000000000000
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
χ22222222-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111111110000000000000000
χ23222222-122222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-2-22-222-2-22-2-1-11111-1-111-1-1-1-11111-1-1110000000000000000
χ24222222-122222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-2-2-22-2-222-22-1-1111111-1-11111-1-1-1-111-1-10000000000000000
χ25222222-12222-2-2-2-2-1-1-1-2-222-2-2-1-11111-1-1-1-1-1-1-1-111112-20000000011-1-111−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i30000000000000000
χ26222222-12222-2-2-2-2-1-1-1-2-222-2-2-1-11111-1-1-1-1-1-1-1-111112-20000000011-1-111i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3−i30000000000000000
χ27222222-12222-2-2-2-2-1-1-1-2-2-2-222-1-11111-1-1-1-11111-1-1-1-1-22000000001111-1-1−i3i3i3−i3−i3−i3i3i3i3i3−i3−i3−i3i3i3−i30000000000000000
χ28222222-12222-2-2-2-2-1-1-1-2-2-2-222-1-11111-1-1-1-11111-1-1-1-1-22000000001111-1-1i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3i3−i3−i3i30000000000000000
χ29222222-1-2-2-2-22222-1-1-1-2-22222-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-2-2-222111111-1-1-1-111111111-1-1-1-10000000000000000
χ30222222-1-2-2-2-22222-1-1-1-2-22222-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-22222-2-21111111111-1-1-1-1-1-1-1-111110000000000000000
χ31222222-1-2-2-2-22222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111111111111222-2-2-2222-211-1-1-1-1-1-1111111-1-1-1-1-1-1110000000000000000
χ32222222-1-2-2-2-22222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111111122-2222-2-2-2211-1-1-1-111-1-1-1-1-1-1111111-1-10000000000000000
χ33222222-1-2-2-2-2-2-2-2-2-1-1-12222-2-2-1-111111111-1-1-1-11111-2200000000-1-111-1-1−i3i3−i3i3i3i3−i3−i3i3i3−i3−i3−i3i3−i3i30000000000000000
χ34222222-1-2-2-2-2-2-2-2-2-1-1-12222-2-2-1-111111111-1-1-1-11111-2200000000-1-111-1-1i3−i3i3−i3−i3−i3i3i3−i3−i3i3i3i3−i3i3−i30000000000000000
χ35222222-1-2-2-2-2-2-2-2-2-1-1-122-2-222-1-1111111111111-1-1-1-12-200000000-1-1-1-111−i3i3i3−i3i3i3−i3−i3−i3−i3i3i3−i3i3i3−i30000000000000000
χ36222222-1-2-2-2-2-2-2-2-2-1-1-122-2-222-1-1111111111111-1-1-1-12-200000000-1-1-1-111i3−i3−i3i3−i3−i3i3i3i3i3−i3−i3i3−i3−i3i30000000000000000
χ372222-2-2222-2-222-2-22222-20000-2-222-2-222-2-2000000000002002-20-22-20000002200002-22-200-2-20000000000000000
χ382222-2-2222-2-222-2-22222-20000-2-222-2-222-2-200000000000-200-22022-2000000-2-20000-22-2200220000000000000000
χ392222-2-2222-2-2-2-222222-220000-2-2-2-22222-2-20000000000202-200-20-22000022002-22-20000-2-2000000000000000000
χ402222-2-2222-2-2-2-222222-220000-2-2-2-22222-2-20000000000-20-220020-220000-2-200-22-22000022000000000000000000
χ412222-2-22-2-22222-2-2222-220000-2-222-2-2-2-22200000000000200-220-2-22000000220000-22-2200-2-20000000000000000
χ422222-2-22-2-22222-2-2222-220000-2-222-2-2-2-22200000000000-2002-202-22000000-2-200002-22-200220000000000000000
χ432222-2-22-2-222-2-2222222-20000-2-2-2-222-2-222000000000020-2200-202-200002200-22-220000-2-2000000000000000000
χ442222-2-22-2-222-2-2222222-20000-2-2-2-222-2-2220000000000-202-200202-20000-2-2002-22-2000022000000000000000000
χ452222-2-2-122-2-222-2-2-1-1-12-2000011-1-111-1-111−i3−i3i3i3−i3−i3i3i30002002-20-2-11−i3i3−i3i3−i3i3-1-1−i3i3i3−i3-11-11i3−i3110000000000000000
χ462222-2-2-122-2-222-2-2-1-1-12-2000011-1-111-1-111−i3−i3i3i3−i3−i3i3i3000-200-2202-11−i3i3−i3i3i3−i311i3−i3−i3i31-11-1−i3i3-1-10000000000000000
χ472222-2-2-122-2-222-2-2-1-1-12-2000011-1-111-1-111i3i3−i3−i3i3i3−i3−i30002002-20-2-11i3−i3i3−i3i3−i3-1-1i3−i3−i3i3-11-11−i3i3110000000000000000
χ482222-2-2-122-2-222-2-2-1-1-12-2000011-1-111-1-111i3i3−i3−i3i3i3−i3−i3000-200-2202-11i3−i3i3−i3−i3i311−i3i3i3−i31-11-1i3−i3-1-10000000000000000
χ492222-2-2-122-2-2-2-222-1-1-1-2200001111-1-1-1-111−i3−i3i3i3i3i3−i3−i300202-200-201-1−i3i3i3−i3-1-1−i3i3-11-11−i3i3i3−i311i3−i30000000000000000
χ502222-2-2-122-2-2-2-222-1-1-1-2200001111-1-1-1-111−i3−i3i3i3i3i3−i3−i300-20-2200201-1−i3i3i3−i311i3−i31-11-1i3−i3−i3i3-1-1−i3i30000000000000000
χ512222-2-2-122-2-2-2-222-1-1-1-2200001111-1-1-1-111i3i3−i3−i3−i3−i3i3i300202-200-201-1i3−i3−i3i3-1-1i3−i3-11-11i3−i3−i3i311−i3i30000000000000000
χ522222-2-2-122-2-2-2-222-1-1-1-2200001111-1-1-1-111i3i3−i3−i3−i3−i3i3i300-20-2200201-1i3−i3−i3i311−i3i31-11-1−i3i3i3−i3-1-1i3−i30000000000000000
χ532222-2-2-1-2-22222-2-2-1-1-1-22000011-1-11111-1-1−i3−i3i3i3−i3−i3i3i3000200-220-21-1i3−i3i3−i3−i3i3-1-1i3−i3−i3i31-11-1i3−i3110000000000000000
χ542222-2-2-1-2-22222-2-2-1-1-1-22000011-1-11111-1-1−i3−i3i3i3−i3−i3i3i3000-2002-2021-1i3−i3i3−i3i3−i311−i3i3i3−i3-11-11−i3i3-1-10000000000000000
χ552222-2-2-1-2-22222-2-2-1-1-1-22000011-1-11111-1-1i3i3−i3−i3i3i3−i3−i3000200-220-21-1−i3i3−i3i3i3−i3-1-1−i3i3i3−i31-11-1−i3i3110000000000000000
χ562222-2-2-1-2-22222-2-2-1-1-1-22000011-1-11111-1-1i3i3−i3−i3i3i3−i3−i3000-2002-2021-1−i3i3−i3i3−i3i311i3−i3−i3i3-11-11i3−i3-1-10000000000000000
χ572222-2-2-1-2-222-2-222-1-1-12-200001111-1-111-1-1−i3−i3i3i3i3i3−i3−i30020-2200-20-11i3−i3−i3i3-1-1−i3i31-11-1i3−i3−i3i311i3−i30000000000000000
χ582222-2-2-1-2-222-2-222-1-1-12-200001111-1-111-1-1−i3−i3i3i3i3i3−i3−i300-202-20020-11i3−i3−i3i311i3−i3-11-11−i3i3i3−i3-1-1−i3i30000000000000000
χ592222-2-2-1-2-222-2-222-1-1-12-200001111-1-111-1-1i3i3−i3−i3−i3−i3i3i30020-2200-20-11−i3i3i3−i3-1-1i3−i31-11-1−i3i3i3−i311−i3i30000000000000000
χ602222-2-2-1-2-222-2-222-1-1-12-200001111-1-111-1-1i3i3−i3−i3−i3−i3i3i300-202-20020-11−i3i3i3−i311−i3i3-11-11i3−i3−i3i3-1-1i3−i30000000000000000
χ612-2-22-22200002-22-2-2-22002-22-22-22-22-200002-22-22-22-200000000000000000000000000000000000022-2-2002-20000
χ622-2-22-22200002-22-2-2-22002-22-22-22-22-200002-22-22-22-2000000000000000000000000000000000000-2-22200-220000
χ632-2-22-22200002-22-2-2-2200-22-222-22-22-20000-22-22-22-2200000000000000000000000000000000000022-2-200-220000
χ642-2-22-22200002-22-2-2-2200-22-222-22-22-20000-22-22-22-22000000000000000000000000000000000000-2-222002-20000
χ652-2-22-2220000-22-22-2-22002-2-222-2-22-2200002-22-2-22-220000000000000000000000000000000022-2-200002-2000000
χ662-2-22-2220000-22-22-2-22002-2-222-2-22-2200002-22-2-22-2200000000000000000000000000000000-2-2220000-22000000
χ672-2-22-2220000-22-22-2-2200-222-22-2-22-220000-22-222-22-20000000000000000000000000000000022-2-20000-22000000
χ682-2-22-2220000-22-22-2-2200-222-22-2-22-220000-22-222-22-200000000000000000000000000000000-2-22200002-2000000
χ6944-4-4004004i−4i00004-4-4000000000000004i−4i00000000000000000000000000000000000000002i−2i2i−2i2-22-200000000
χ7044-4-4004004i−4i00004-4-4000000000000004i−4i0000000000000000000000000000000000000000−2i2i−2i2i-22-2200000000
χ7144-4-400400−4i4i00004-4-400000000000000−4i4i00000000000000000000000000000000000000002i−2i2i−2i-22-2200000000
χ7244-4-400400−4i4i00004-4-400000000000000−4i4i0000000000000000000000000000000000000000−2i2i−2i2i2-22-200000000
χ734-44-40044i−4i000000-44-40000000000004i−4i0000000000000000000000000000000000000000002i−2i−2i2i2-2-2200000000
χ744-44-40044i−4i000000-44-40000000000004i−4i000000000000000000000000000000000000000000−2i2i2i−2i-222-200000000
χ754-44-4004−4i4i000000-44-4000000000000−4i4i0000000000000000000000000000000000000000002i−2i−2i2i-222-200000000
χ764-44-4004−4i4i000000-44-4000000000000−4i4i000000000000000000000000000000000000000000−2i2i2i−2i2-2-2200000000
χ774-4-444-4400004-4-44-4-44000000-444-4-44000000000000000000000000000000000000000000000000000000000000
χ784-4-444-440000-444-4-4-44000000-44-444-4000000000000000000000000000000000000000000000000000000000000
χ794-4-444-4-200004-4-4422-20000002-2-222-20000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ804-4-444-4-200004-4-4422-20000002-2-222-200002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ814-4-444-4-20000-444-422-20000002-22-2-220000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ824-4-444-4-20000-444-422-20000002-22-2-2200002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ834-4-44-44-200004-44-422-2004-44-4-22-22-220000-22-22-22-22000000000000000000000000000000000000000000000000
χ844-4-44-44-200004-44-422-200-44-44-22-22-2200002-22-22-22-2000000000000000000000000000000000000000000000000
χ854-4-44-44-20000-44-4422-2004-4-44-222-22-20000-22-222-22-2000000000000000000000000000000000000000000000000
χ864-4-44-44-20000-44-4422-200-444-4-222-22-200002-22-2-22-22000000000000000000000000000000000000000000000000
χ8788-8-800-4008i−8i0000-44400000000000000−4i4i00000000000000000000000000000000000000000000000000000000
χ8888-8-800-400−8i8i0000-444000000000000004i−4i00000000000000000000000000000000000000000000000000000000
χ898-88-800-48i−8i0000004-44000000000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ908-88-800-4−8i8i0000004-440000000000004i−4i0000000000000000000000000000000000000000000000000000000000

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