Finite Group Databasebeta

← Group #10848586

Character table — Group #10848586

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222224444444444444444444444448888888888888888888888888888888812121212121212122424242448484848
order1222223444444446664444446612121212121212121212121212121212222224444466666666661212121212121212121212124444444488882288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111-1-11111111111-1-1-1-111111111-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1
χ1011111111-1-1-1-1111111-1-11111111111-1-1-1-111111111-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-11
χ1111111111-1-1-1-1111111-1-11111111111-1-1-1-111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-11
χ1211111111-1-1-1-1111111-1-11111111111-1-1-1-111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ1311111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11
χ1411111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1
χ1511111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-11
χ172222222-222-2-2-2-2-22222-2000022-2-2-2-222-2-20000000002-22-2000000022-2-222-2-2002-2000000000000000000000000
χ182222222-222-2-2-2-2-22222-2000022-2-2-2-222-2-2000000000-22-220000000-2-222-2-222002-2000000000000000000000000
χ192222222-2-2-222-2-2-2222-22000022-2-2-2-2-2-2220000000002-2-22000000022-2-2-2-22200-22000000000000000000000000
χ202222222-2-2-222-2-2-2222-22000022-2-2-2-2-2-222000000000-222-20000000-2-22222-2-200-22000000000000000000000000
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
χ22222222-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-22-2-2-2-2-1-111111111-1-1-1-1111111110000000000000000
χ23222222-122222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-22222-2-2-2-2-211-1-1-1-1-1-1-1-111-1-1111111110000000000000000
χ24222222-122222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-10000000000000000
χ25222222-12-2-2-2-2222-1-1-1-2-22222-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-222-2-2-222-2-211-1-1-1-111111111-1-1-1-111110000000000000000
χ26222222-12-2-2-2-2222-1-1-1-2-22222-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-222-2-2-222111111-1-1-1-111111111-1-1-1-10000000000000000
χ27222222-12-2-2-2-2222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111111111111222-2-22-2-222-1-1-1-1-1-11111-1-1111111-1-1-1-10000000000000000
χ28222222-12-2-2-2-2222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111111112-2-222222-2-2-1-11111-1-1-1-1-1-111-1-1-1-111110000000000000000
χ29222222-1-222-2-2-2-2-2-1-1-12-20000-1-11111-1-111−i3−i3−i3−i3i3i3i3i302-22-200000−i3i3-1-111-1-111−i3i3-11−i3−i3i3i3−i3−i3i3i30000000000000000
χ30222222-1-222-2-2-2-2-2-1-1-12-20000-1-11111-1-111−i3−i3−i3−i3i3i3i3i30-22-2200000−i3i311-1-111-1-1−i3i3-11i3i3−i3−i3i3i3−i3−i30000000000000000
χ31222222-1-222-2-2-2-2-2-1-1-12-20000-1-11111-1-111i3i3i3i3−i3−i3−i3−i302-22-200000i3−i3-1-111-1-111i3−i3-11i3i3−i3−i3i3i3−i3−i30000000000000000
χ32222222-1-222-2-2-2-2-2-1-1-12-20000-1-11111-1-111i3i3i3i3−i3−i3−i3−i30-22-2200000i3−i311-1-111-1-1i3−i3-11−i3−i3i3i3−i3−i3i3i30000000000000000
χ33222222-1-2-2-222-2-2-2-1-1-1-220000-1-1111111-1-1−i3−i3−i3−i3i3i3i3i302-2-2200000i3−i3-1-11111-1-1i3−i31-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ34222222-1-2-2-222-2-2-2-1-1-1-220000-1-1111111-1-1−i3−i3−i3−i3i3i3i3i30-222-200000i3−i311-1-1-1-111i3−i31-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ35222222-1-2-2-222-2-2-2-1-1-1-220000-1-1111111-1-1i3i3i3i3−i3−i3−i3−i302-2-2200000−i3i3-1-11111-1-1−i3i31-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ36222222-1-2-2-222-2-2-2-1-1-1-220000-1-1111111-1-1i3i3i3i3−i3−i3−i3−i30-222-200000−i3i311-1-1-1-111−i3i31-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ372222-2-22222-2-2-2-22222-2222-2-2-2-222-2-222-2-222-2-222-2-220000-200002200000000-2-2-22000000000000000000000000
χ382222-2-22222-2-2-2-22222-22-2-222-2-222-2-222-2-2-2-222-2-222-2000020000-2-20000000022-22000000000000000000000000
χ392222-2-222-2-222-2-222222-222-2-2-2-222-2-2-2-22222-2-222-2-2-2000020000-2-200000000222-2000000000000000000000000
χ402222-2-222-2-222-2-222222-2-2-222-2-222-2-2-2-222-2-222-2-22220000-200002200000000-2-22-2000000000000000000000000
χ412222-2-22-2222222-2222-2-20000-2-2-2-2222222000000000000002-22-2000000000000-2-22-22-22-22-20000000000000000
χ422222-2-22-2222222-2222-2-20000-2-2-2-222222200000000000000-22-22000000000000-2-2-22-22-22-220000000000000000
χ432222-2-22-2-2-2-2-222-2222220000-2-2-2-222-2-2-2-2000000000000002-2-22000000000000222-22-2-22-220000000000000000
χ442222-2-22-2-2-2-2-222-2222220000-2-2-2-222-2-2-2-200000000000000-222-200000000000022-22-222-22-20000000000000000
χ452222-2-2-1222-2-2-2-22-1-1-1-2222-2-211-1-111-1-111-1-111-1-11120000-20000-1-1−i3i3−i3i3−i3i3−i3i3111-1−i3i3i3−i3−i3i3i3−i30000000000000000
χ462222-2-2-1222-2-2-2-22-1-1-1-2222-2-211-1-111-1-111-1-111-1-11120000-20000-1-1i3−i3i3−i3i3−i3i3−i3111-1i3−i3−i3i3i3−i3−i3i30000000000000000
χ472222-2-2-1222-2-2-2-22-1-1-1-22-2-22211-1-111-1-11111-1-111-1-1-200002000011−i3i3−i3i3−i3i3−i3i3-1-11-1i3−i3−i3i3i3−i3−i3i30000000000000000
χ482222-2-2-1222-2-2-2-22-1-1-1-22-2-22211-1-111-1-11111-1-111-1-1-200002000011i3−i3i3−i3i3−i3i3−i3-1-11-1−i3i3i3−i3−i3i3i3−i30000000000000000
χ492222-2-2-12-2-222-2-22-1-1-12-222-2-211-1-11111-1-1-1-111-1-111-200002000011−i3i3−i3i3i3−i3i3−i3-1-1-11−i3i3i3−i3i3−i3−i3i30000000000000000
χ502222-2-2-12-2-222-2-22-1-1-12-222-2-211-1-11111-1-1-1-111-1-111-200002000011i3−i3i3−i3−i3i3−i3i3-1-1-11i3−i3−i3i3−i3i3i3−i30000000000000000
χ512222-2-2-12-2-222-2-22-1-1-12-2-2-22211-1-11111-1-111-1-111-1-120000-20000-1-1−i3i3−i3i3i3−i3i3−i311-11i3−i3−i3i3−i3i3i3−i30000000000000000
χ522222-2-2-12-2-222-2-22-1-1-12-2-2-22211-1-11111-1-111-1-111-1-120000-20000-1-1i3−i3i3−i3−i3i3−i3i311-11−i3i3i3−i3i3−i3−i3i30000000000000000
χ532222-2-2-1-2222222-2-1-1-1-2-200001111-1-1-1-1-1-1−i3−i3i3i3i3i3−i3−i30000002-22-2−i3i3−i3i3i3−i3−i3i3i3−i3i3−i311-11-11-11-110000000000000000
χ542222-2-2-1-2222222-2-1-1-1-2-200001111-1-1-1-1-1-1−i3−i3i3i3i3i3−i3−i3000000-22-22−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3111-11-11-11-10000000000000000
χ552222-2-2-1-2222222-2-1-1-1-2-200001111-1-1-1-1-1-1i3i3−i3−i3−i3−i3i3i30000002-22-2i3−i3i3−i3−i3i3i3−i3−i3i3−i3i311-11-11-11-110000000000000000
χ562222-2-2-1-2222222-2-1-1-1-2-200001111-1-1-1-1-1-1i3i3−i3−i3−i3−i3i3i3000000-22-22i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3111-11-11-11-10000000000000000
χ572222-2-2-1-2-2-2-2-222-2-1-1-12200001111-1-11111−i3−i3i3i3i3i3−i3−i30000002-2-22i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3-1-1-11-111-11-10000000000000000
χ582222-2-2-1-2-2-2-2-222-2-1-1-12200001111-1-11111−i3−i3i3i3i3i3−i3−i3000000-222-2i3−i3i3−i3−i3i3−i3i3i3−i3−i3i3-1-11-11-1-11-110000000000000000
χ592222-2-2-1-2-2-2-2-222-2-1-1-12200001111-1-11111i3i3−i3−i3−i3−i3i3i30000002-2-22−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3-1-1-11-111-11-10000000000000000
χ602222-2-2-1-2-2-2-2-222-2-1-1-12200001111-1-11111i3i3−i3−i3−i3−i3i3i3000000-222-2−i3i3−i3i3i3−i3i3−i3−i3i3i3−i3-1-11-11-1-11-110000000000000000
χ6122-2-22-22200002-2-22-2-2002i−2i2i−2i2-22-22-200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000022-2-2002i−2i0000
χ6222-2-22-22200002-2-22-2-2002i−2i2i−2i2-22-22-200002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000-2-22200−2i2i0000
χ6322-2-22-22200002-2-22-2-200−2i2i−2i2i2-22-22-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000022-2-200−2i2i0000
χ6422-2-22-22200002-2-22-2-200−2i2i−2i2i2-22-22-20000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000-2-222002i−2i0000
χ6522-2-2-22220000-22-22-2-2002i−2i−2i2i-222-2-2200002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000022-2-200002i−2i000000
χ6622-2-2-22220000-22-22-2-2002i−2i−2i2i-222-2-2200002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000-2-2220000−2i2i000000
χ6722-2-2-22220000-22-22-2-200−2i2i2i−2i-222-2-220000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000022-2-20000−2i2i000000
χ6822-2-2-22220000-22-22-2-200−2i2i2i−2i-222-2-220000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000-2-22200002i−2i000000
χ6944-4-44-44-40000-4444-4-40000004-4-44-44000000000000000000000000000000000000000000000000000000000000
χ7044-4-44-4-2400004-4-4-222004i−4i4i−4i-22-22-220000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ7144-4-44-4-2400004-4-4-22200−4i4i−4i4i-22-22-2200002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ7244-4-44-4-2-40000-444-222000000-222-22-2000023−2323−23−2323−2323000000000000000000000000000000000000000000000000
χ7344-4-44-4-2-40000-444-222000000-222-22-20000−2323−232323−2323−23000000000000000000000000000000000000000000000000
χ7444-4-4-444-400004-444-4-4000000-44-444-4000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-44-240000-44-4-222004i−4i−4i4i2-2-222-20000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ7644-4-4-44-240000-44-4-22200−4i4i4i−4i2-2-222-200002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ7744-4-4-44-2-400004-44-2220000002-22-2-22000023−23−2323−232323−23000000000000000000000000000000000000000000000000
χ7844-4-4-44-2-400004-44-2220000002-22-2-220000−232323−2323−23−2323000000000000000000000000000000000000000000000000
χ794-44-40040004-4000-44-4000000000000004-400000000000000000000000000000000000000002-22-22-22-200000000
χ804-44-40040004-4000-44-4000000000000004-40000000000000000000000000000000000000000-22-22-22-2200000000
χ814-44-4004000-44000-44-400000000000000-4400000000000000000000000000000000000000002-22-2-22-2200000000
χ824-44-4004000-44000-44-400000000000000-440000000000000000000000000000000000000000-22-222-22-200000000
χ834-4-4400404-400000-4-440000000000004-40000000000000000000000000000000000000000002-2-222-2-2200000000
χ844-4-4400404-400000-4-440000000000004-4000000000000000000000000000000000000000000-222-2-222-200000000
χ854-4-440040-4400000-4-44000000000000-440000000000000000000000000000000000000000002-2-22-222-200000000
χ864-4-440040-4400000-4-44000000000000-44000000000000000000000000000000000000000000-222-22-2-2200000000
χ878-88-800-40008-80004-4400000000000000-4400000000000000000000000000000000000000000000000000000000
χ888-88-800-4000-880004-44000000000000004-400000000000000000000000000000000000000000000000000000000
χ898-8-8800-408-80000044-4000000000000-440000000000000000000000000000000000000000000000000000000000
χ908-8-8800-40-880000044-40000000000004-40000000000000000000000000000000000000000000000000000000000

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