Finite Group Databasebeta

← Group #13026269

Character table — Group #13026269

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112224444448888888888888810101010101016161616161616161616162020204040404040404040404040404080808080
order1224424588102444810101020202020404022448810102020202020204040402482224816161616161616164488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ41111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ511111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1
χ611111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ711111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1ii−i−iii−i−i−ii−ii
χ811111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1−i−iii−i−iiii−ii−i
χ911111-1-1111111-1-1-11-1-11-1-11111111111111-1-1-1-11-1-1-1-111-1-11-11111-1-1-1-111-1-1
χ1011111-1-1111111-1-1-11-1-11-1-11111111111111-1-1-1-11-1-1-1-111-1-11-1-1-1-1-11111-1-111
χ1111111-1-1111111-1-1-11-1-11-1-1111-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-11ii−i−i−i−iiii−i−ii
χ1211111-1-1111111-1-1-11-1-11-1-1111-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-11−i−iiiii−i−i−iii−i
χ1311111-1-11111-1-111-11-1-11-1-1111111111-1-1-1-111111-1-1-1-11-111-1-11111-1-1-1-1-1-111
χ1411111-1-11111-1-111-11-1-11-1-1111111111-1-1-1-111111-1-1-1-11-111-1-1-1-1-1-1111111-1-1
χ1511111-1-11111-1-111-11-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-111ii−i−i−i−iii−iii−i
χ1611111-1-11111-1-111-11-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-111−i−iiiii−i−ii−i−ii
χ1722222222-2-220000-22222222-2-22222-2-200000000-2-2-222-20000-2000000000000
χ1822222222-2-220000-22222222-2-2-2-2-2-22200000000-2-2-2-2-2200002000000000000
χ1922222-2-22-2-22000022-2-22-2-22-2-22222-2-200000000-222-2-2-200002000000000000
χ2022222-2-22-2-22000022-2-22-2-22-2-2-2-2-2-22200000000-2222220000-2000000000000
χ2122-22-22-2200200000-2222-2-2-2002-22-20000000000000-22000000i2−i2i2−i2i2−i2i2−i20000
χ2222-22-22-2200200000-2222-2-2-2002-22-20000000000000-22000000−i2i2−i2i2−i2i2−i2i20000
χ2322-22-22-2200200000-2222-2-2-200-22-2200000000000002-20000002−2−222−2−220000
χ2422-22-22-2200200000-2222-2-2-200-22-2200000000000002-2000000−222−2−222−20000
χ2522-22-2-22200200000-2-2-2222-2002-22-200000000000002-2000000i2−i2i2−i2−i2i2−i2i20000
χ2622-22-2-22200200000-2-2-2222-2002-22-200000000000002-2000000−i2i2−i2i2i2−i2i2−i20000
χ2722-22-2-22200200000-2-2-2222-200-22-220000000000000-220000002−2−22−222−20000
χ2822-22-2-22200200000-2-2-2222-200-22-220000000000000-22000000−222−22−2−220000
χ2922-2-220022-22002-20-200-2002-2-22-2-2222000022-2-220000-202-200000000000000
χ3022-2-220022-22002-20-200-2002-2-2-222-2-2-2000022-2-22000020-2200000000000000
χ3122-2-220022-2200-220-200-2002-2-22-2-22220000-2-22220000-20-2200000000000000
χ3222-2-220022-2200-220-200-2002-2-2-222-2-2-20000-2-22220000202-200000000000000
χ3322-2-22002-2222-2000-200-2002222-2-22-2-222-2-20000-200002200-20000000000000
χ3422-2-22002-2222-2000-200-200222-222-22222-2-20000-20000-2-20020000000000000
χ3522-2-22002-222-22000-200-2002222-2-22-2-2-2-2220000-200002-20020000000000000
χ3622-2-22002-222-22000-200-200222-222-222-2-2220000-20000-2200-20000000000000
χ374444444-144-144444-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ384444444-144-1-4-4-4-44-1-1-1-1-1-1-1-1-100000011111111-1-1-100000000000000000000
χ394444444-1-4-4-10000-4-1-1-1-1-1-1-1110000005−55−55−55−511100000000000000000000
χ404444444-1-4-4-10000-4-1-1-1-1-1-1-111000000−55−55−55−5511100000000000000000000
χ4144444-4-4-144-144-4-4-4-111-111-1-1-1000000-1-1-1-11111-11100000000000000000000
χ4244444-4-4-144-1-4-444-4-111-111-1-1-10000001111-1-1-1-1-11100000000000000000000
χ4344444-4-4-1-4-4-100004-111-111-1110000005−55−5−55−551-1-100000000000000000000
χ4444444-4-4-1-4-4-100004-111-111-111000000−55−555−55−51-1-100000000000000000000
χ45444-4-400400400000400-400-40044-4-4000000000000000000000000000000000
χ46444-4-400400400000400-400-400-4-444000000000000000000000000000000000
χ4744-4-4400-14-4-1004-4015−515−5-1110000005−5−55-1-111-15−500000000000000000000
χ4844-4-4400-14-4-1004-401−551−55-111000000−555−5-1-111-1−5500000000000000000000
χ4944-4-4400-14-4-100-44015−515−5-111000000−555−511-1-1-15−500000000000000000000
χ5044-4-4400-14-4-100-4401−551−55-1110000005−5−5511-1-1-1−5500000000000000000000
χ5144-4-4400-1-44-14-400015−515−5-1-1-1000000-1-1115−5−551−5500000000000000000000
χ5244-4-4400-1-44-14-40001−551−55-1-1-1000000-1-111−555−515−500000000000000000000
χ5344-4-4400-1-44-1-4400015−515−5-1-1-100000011-1-1−555−51−5500000000000000000000
χ5444-4-4400-1-44-1-440001−551−55-1-1-100000011-1-15−5−5515−500000000000000000000
χ55888-8-800-200-200000-225−252−25252000000000000000000000000000000000000000
χ56888-8-800-200-200000-2−2525225−252000000000000000000000000000000000000000
χ5788-88-88-8-200-2000002-2-2-2222000000000000000000000000000000000000000
χ5888-88-8-88-200-200000222-2-2-22000000000000000000000000000000000000000
χ598-800000800-80000000000000000004i2−4i20000000000000000000000000000000
χ608-800000800-8000000000000000000−4i24i20000000000000000000000000000000
χ6116-1600000-4004000000000000210−2100000000000000000000000000000000000000
χ6216-1600000-4004000000000000−2102100000000000000000000000000000000000000

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