Finite Group Databasebeta

← Group #10901283

Character table — Group #10901283

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order1222223444444666444661212121212121212224466661212121212128888242424242424242422444444444422
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-11-11111-1-1
χ611111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-1-1-1-111
χ711111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-11-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-111111-1-1
χ9111111111-1-111111-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11-11-111-1-111-1-11-11-11-1-1111-1-11-1
χ10111111111-1-111111-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11-11-111-1-111-1-1-11-11-111-1-1-111-11
χ11111111111-1-111111-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-11-11-1-111-1-1111-11-11-1-11-1-111-11
χ12111111111-1-111111-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-11-11-1-111-1-111-11-11-111-111-1-11-1
χ13111111111-1-111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-111111-1-11-1-111-1-1-11
χ14111111111-1-111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1-111-111-1-1111-1
χ15111111111-1-111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-1111-1-11-1-1-1-1111-1
χ16111111111-1-111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-111-11111-1-1-11
χ172222222-2-222-2-2222-2-2222-2-22222-2-22-22-222-2-2-2-222-2-200000000000000000000000000
χ182222222-2-222-2-2222-2-2222-2-22222-2-2-22-22-2-222-2-2-2-22200000000000000000000000000
χ192222222-2-2-2-2-2-222222-222-2-2-2-2-2-2-2-22-2-2222-2-222-2-22200000000000000000000000000
χ202222222-2-2-2-2-2-222222-222-2-2-2-2-2-2-2-2-222-2-2-2222222-2-200000000000000000000000000
χ21222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ23222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-1-1111122-2-2-1-1-1-1111100000000000000
χ24222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-1-11111-2-2221111-1-1-1-100000000000000
χ25222222-122-2-222-1-1-1-2-2-2-1-1-1-11111-1-122-2-2-1-1-1-11111112-22-2-1-111-1-11100000000000000
χ26222222-122-2-222-1-1-1-2-2-2-1-1-1-11111-1-122-2-2-1-1-1-1111111-22-2211-1-111-1-100000000000000
χ27222222-122-2-222-1-1-1-2-2-2-1-1-1-11111-1-1-2-222111111-1-1-1-12-2-22-1-11111-1-100000000000000
χ28222222-122-2-222-1-1-1-2-2-2-1-1-1-11111-1-1-2-222111111-1-1-1-1-222-211-1-1-1-11100000000000000
χ29222222-1-2-222-2-2-1-1-1-2-22-1-111-1-1-1-1112-22-2-1-11111-1-11100003−33−33−33−300000000000000
χ30222222-1-2-222-2-2-1-1-1-2-22-1-111-1-1-1-1112-22-2-1-11111-1-1110000−33−33−33−3300000000000000
χ31222222-1-2-222-2-2-1-1-1-2-22-1-111-1-1-1-111-22-2211-1-11111-1-100003−33−3−33−3300000000000000
χ32222222-1-2-222-2-2-1-1-1-2-22-1-111-1-1-1-111-22-2211-1-11111-1-10000−33−333−33−300000000000000
χ33222222-1-2-2-2-2-2-2-1-1-122-2-1-1111111112-2-22-1-111-1-111-1-100003−3−333−3−3300000000000000
χ34222222-1-2-2-2-2-2-2-1-1-122-2-1-1111111112-2-22-1-111-1-111-1-10000−333−3−333−300000000000000
χ35222222-1-2-2-2-2-2-2-1-1-122-2-1-111111111-222-211-1-1-1-1-1-11100003−3−33−333−300000000000000
χ36222222-1-2-2-2-2-2-2-1-1-122-2-1-111111111-222-211-1-1-1-1-1-1110000−333−33−3−3300000000000000
χ372222-2-222-2222-22222-2-2-2-22-222-2-22-2000000002-200000000000000000200-2-202000000
χ382222-2-222-2222-22222-2-2-2-22-222-2-22-2000000002-200000000000000000-200220-2000000
χ392222-2-222-2-2-22-2222-222-2-22-2-2-2222-200000000-22000000000000000002002-20-2000000
χ402222-2-222-2-2-22-2222-222-2-22-2-2-2222-200000000-2200000000000000000-200-2202000000
χ412222-2-22-2222-22222-22-2-2-2-2222-2-2-2200000000-22000000000000000020-2-20020000000
χ422222-2-22-2222-22222-22-2-2-2-2222-2-2-2200000000-220000000000000000-202200-20000000
χ432222-2-22-22-2-2-222222-22-2-2-22-2-222-22000000002-2000000000000000020-2200-20000000
χ442222-2-22-22-2-2-222222-22-2-2-22-2-222-22000000002-20000000000000000-202-20020000000
χ454444-4-4-24-4444-4-2-2-24-4-422-22-2-222-2200000000-22000000000000000000000000000000
χ464444-4-4-24-4-4-44-4-2-2-2-44422-2222-2-2-22000000002-2000000000000000000000000000000
χ474444-4-4-2-4444-44-2-2-2-44-4222-2-2-2222-2000000002-2000000000000000000000000000000
χ484444-4-4-2-44-4-4-44-2-2-24-44222-222-2-22-200000000-22000000000000000000000000000000
χ4944-4-44-444400-4-44-4-40004-4440000-4-40000000000000000000000000000000000000000
χ5044-4-44-44-4-400444-4-40004-4-4-40000440000000000000000000000000000000000000000
χ5144-4-44-4-24400-4-4-222000-22-2-20000220000−2i32i3−2i32i300000000000000000000000000000000
χ5244-4-44-4-24400-4-4-222000-22-2-200002200002i3−2i32i3−2i300000000000000000000000000000000
χ5344-4-44-4-2-4-40044-222000-22220000-2-20000−2i32i32i3−2i300000000000000000000000000000000
χ5444-4-44-4-2-4-40044-222000-22220000-2-200002i3−2i3−2i32i300000000000000000000000000000000
χ5544-4-4-4444-400-444-4-4000-444-40000-440000000000000000000000000000000000000000
χ5644-4-4-444-44004-44-4-4000-44-4400004-40000000000000000000000000000000000000000
χ5744-4-4-44-24-400-44-2220002-2-2200002-2000000000023−2323−2300000000000000000000000000
χ5844-4-4-44-24-400-44-2220002-2-2200002-20000000000−2323−232300000000000000000000000000
χ5944-4-4-44-2-44004-4-2220002-22-20000-22000000000023−23−232300000000000000000000000000
χ6044-4-4-44-2-44004-4-2220002-22-20000-220000000000−232323−2300000000000000000000000000
χ614-4-44004004-400-4-4400000004-4000000000000000000000000000000000000002-22-200
χ624-4-44004004-400-4-4400000004-400000000000000000000000000000000000000-22-2200
χ634-4-4400400-4400-4-440000000-44000000000000000000000000000000000000002-2-2200
χ644-4-4400400-4400-4-440000000-4400000000000000000000000000000000000000-222-200
χ658-88-8008000000-88-800000000000000000000000000000000000000000000000000000
χ668-88-800-40000004-4400000000043−43000000000000000000000000000000000000000000
χ678-88-800-40000004-44000000000−4343000000000000000000000000000000000000000000
χ688-8-8800-4008-80044-40000000-4400000000000000000000000000000000000000000000
χ698-8-8800-400-880044-400000004-400000000000000000000000000000000000000000000

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