Finite Group Databasebeta

← Group #13017879

Character table — Group #13017879

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111224444448888888888881010101016161616161616161616161620202020202040404040404040404040404080808080
order12224424510101024444410102020202044441010202020202020202020204444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11-11-1
χ611111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-11-11
χ711111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iiii−i−ii
χ811111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−iii−i
χ9111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-11-11
χ10111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-11-1
χ11111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111ii−i−i−i−iii−iii−i
χ12111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111−i−iiiii−i−ii−i−ii
χ13111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ14111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ15111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i−i−iii
χ16111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiiiii−i−i
χ17222222-2-222222-20000-2-222-2-22-22-2220000-2-2000022-2-22-20000000000000000
χ18222222-2-222222-20000-2-222-2-2-22-22220000-2-20000-2-222-220000000000000000
χ19222222-2-22222-220000-2-222-2-22-22-2-2-20000220000-2-2222-20000000000000000
χ20222222-2-22222-220000-2-222-2-2-22-22-2-2000022000022-2-2-220000000000000000
χ212222-2-22-22222002-20022-2-2-2-22-22-20000000022-2-20000-222-200000000000000
χ222222-2-22-22222002-20022-2-2-2-2-22-220000000022-2-200002-2-2200000000000000
χ232222-2-22-2222200-220022-2-2-2-22-22-200000000-2-2220000-22-2200000000000000
χ242222-2-22-2222200-220022-2-2-2-2-22-2200000000-2-22200002-22-200000000000000
χ252222-2-2-22222200002-2-2-2-2-22222220022-2-20000000000-2-2002-2000000000000
χ262222-2-2-22222200002-2-2-2-2-222-2-2-2-20022-2-200000000002200-22000000000000
χ272222-2-2-2222220000-22-2-2-2-222222200-2-2220000000000-2-200-22000000000000
χ282222-2-2-2222220000-22-2-2-2-222-2-2-2-200-2-222000000000022002-2000000000000
χ2944444444-1-1-1-1444444-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ3044444444-1-1-1-144-4-4-4-4-1-1-1-1-1-10000-1-11111-1-111110000000000000000000000
χ3144444444-1-1-1-1-4-444-4-4-1-1-1-1-1-1000011111111-1-1-1-10000000000000000000000
χ3244444444-1-1-1-1-4-4-4-444-1-1-1-1-1-1000011-1-1-1-11111110000000000000000000000
χ33444444-4-4-1-1-1-14-4000011-1-1110000-1-15−55−5115−55−50000000000000000000000
χ34444444-4-4-1-1-1-14-4000011-1-1110000-1-1−55−5511−55−550000000000000000000000
χ35444444-4-4-1-1-1-1-44000011-1-1110000115−55−5-1-1−55−550000000000000000000000
χ36444444-4-4-1-1-1-1-44000011-1-111000011−55−55-1-15−55−50000000000000000000000
χ374444-4-44-4-1-1-1-1004-400-1-1111100005−55−5−555−5-1-1110000000000000000000000
χ384444-4-44-4-1-1-1-1004-400-1-111110000−55−555−5−55-1-1110000000000000000000000
χ394444-4-44-4-1-1-1-100-4400-1-1111100005−5−555−55−511-1-10000000000000000000000
χ404444-4-44-4-1-1-1-100-4400-1-111110000−555−5−55−5511-1-10000000000000000000000
χ414444-4-4-44-1-1-1-100004-41111-1-100005−5-1-111−555−5−550000000000000000000000
χ424444-4-4-44-1-1-1-100004-41111-1-10000−55-1-1115−5−555−50000000000000000000000
χ434444-4-4-44-1-1-1-10000-441111-1-100005−511-1-1−55−555−50000000000000000000000
χ444444-4-4-44-1-1-1-10000-441111-1-10000−5511-1-15−55−5−550000000000000000000000
χ4544-4-44-4004-4-44000000004-4000000000000000000004i−4i000000000000000000
χ4644-4-44-4004-4-44000000004-400000000000000000000−4i4i000000000000000000
χ4744-4-4-44004-4-4400000000-440000000000000000004i−4i00000000000000000000
χ4844-4-4-44004-4-4400000000-44000000000000000000−4i4i00000000000000000000
χ494-44-4000044-4-4000000000000040-400000000000000000000002-2002-2000000
χ504-44-4000044-4-4000000000000040-40000000000000000000000-2200-22000000
χ514-44-4000044-4-40000000000000-40400000000000000000000002i−2i00−2i2i000000
χ524-44-4000044-4-40000000000000-4040000000000000000000000−2i2i002i−2i000000
χ534-4-4400004-44-400000000000040-400000000000000000000000002-2002-20000
χ544-4-4400004-44-400000000000040-40000000000000000000000000-2200-220000
χ554-4-4400004-44-4000000000000-40400000000000000000000000002i−2i00−2i2i0000
χ564-4-4400004-44-4000000000000-4040000000000000000000000000−2i2i002i−2i0000
χ5788-8-88-800-222-200000025−25-2225−2500000000000000000000000000000000000000
χ5888-8-88-800-222-2000000−2525-22−252500000000000000000000000000000000000000
χ5988-8-8-8800-222-200000025−252-2−252500000000000000000000000000000000000000
χ6088-8-8-8800-222-2000000−25252-225−2500000000000000000000000000000000000000
χ6116-1616-160000-4-44400000000000000000000000000000000000000000000000000
χ6216-16-16160000-44-4400000000000000000000000000000000000000000000000000

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