Finite Group Databasebeta

← Group #13026250

Character table — Group #13026250

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11222444444445588888888888101010161616161616161616161616202020204040404040404040404040404080808080
order1224424588102020222244810101020202024410101010202020204040404024882244816161616161616164444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1
χ4111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ51111111111111-1-111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−ii−ii−i
χ61111111111111-1-111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii−ii
χ71111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−i−ii−ii
χ81111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1−i−i−i−iiiiii−ii−i
χ911111-1-1111111111-11-1-11-1-1-1-1111111-1-111-1-111-1-1-1-1111-11-1-111-1-111-1-111-1-1
χ1011111-1-1111111111-11-1-11-1-1-1-1111111-1-111-1-111-1-1-1-1111-11-1-1-1-111-1-111-1-111
χ1111111-1-111111111-11-11-11-1-1-1-11111-1-111-1-11111-1-1-1-111-11-11-111-1-111-1-1-1-111
χ1211111-1-111111111-11-11-11-1-1-1-11111-1-111-1-11111-1-1-1-111-11-11-1-1-111-1-11111-1-1
χ1311111-1-1111111-1-11-11-1-11-1-1-1-11-1-1-111-1-111-1-111-1-111-1-1-11-111ii−i−i−i−iiii−i−ii
χ1411111-1-1111111-1-11-11-1-11-1-1-1-11-1-1-111-1-111-1-111-1-111-1-1-11-111−i−iiiii−i−i−iii−i
χ1511111-1-1111111-1-1-11-11-11-1-1-1-11-1-1-1-1-111-1-11111-1-111-1-11-11-11ii−i−i−i−iii−iii−i
χ1611111-1-1111111-1-1-11-11-11-1-1-1-11-1-1-1-1-111-1-11111-1-111-1-11-11-11−i−iiiii−i−ii−i−ii
χ1722222222-2-2222220000-222222222200000000-2-2-2-222-2-20000-2000000000000
χ1822222222-2-2222-2-20000-2222222-2-2-200000000-2-2-2-2-2-22200002000000000000
χ1922222-2-22-2-222222000022-2-2-2-2222200000000-2-222-2-2-2-200002000000000000
χ2022222-2-22-2-2222-2-2000022-2-2-2-22-2-2-200000000-2-22222220000-2000000000000
χ21222-2-22-22002-2-22200000222-2-2-22-2-20000000000002-200000002−22−22−22−20000
χ22222-2-22-22002-2-22200000222-2-2-22-2-20000000000002-20000000−22−22−22−220000
χ23222-2-22-22002-2-2-2-200000222-2-2-2-222000000000000-220000000i2−i2i2−i2−i2i2−i2i20000
χ24222-2-22-22002-2-2-2-200000222-2-2-2-222000000000000-220000000−i2i2−i2i2i2−i2i2−i20000
χ25222-2-2-222002-2-222000002-2-222-22-2-2000000000000-2200000002−2−222−2−220000
χ26222-2-2-222002-2-222000002-2-222-22-2-2000000000000-220000000−222−2−222−20000
χ27222-2-2-222002-2-2-2-2000002-2-222-2-2220000000000002-20000000i2−i2−i2i2−i2i2i2−i20000
χ28222-2-2-222002-2-2-2-2000002-2-222-2-2220000000000002-20000000−i2i2i2−i2i2−i2−i2i20000
χ2922-2-220022-22-2-222020-20-200002-22-2002200-2-22-200002-2020-20000000000000
χ3022-2-220022-22-2-2220-2020-200002-22-200-2-200222-200002-20-2020000000000000
χ3122-2-220022-22-2-2-2-2020-20-2000022-22002200-2-22-20000-220-2020000000000000
χ3222-2-220022-22-2-2-2-20-2020-2000022-2200-2-200222-20000-22020-20000000000000
χ3322-2-22002-222-2-22220-200-200002-22-22200-2-200-220000-2220-200000000000000
χ3422-2-22002-222-2-222-20200-200002-22-2-2-2002200-220000-22-20200000000000000
χ3522-2-22002-222-2-2-2-220-200-2000022-222200-2-200-2200002-2-20200000000000000
χ3622-2-22002-222-2-2-2-2-20200-2000022-22-2-2002200-2200002-220-200000000000000
χ374444444-144-1-1-10044444-1-1-1-1-1-1000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ384444444-144-1-1-100-4-4-4-44-1-1-1-1-1-100011111111-1-1-1-1000000000000000000000
χ394444444-1-4-4-1-1-1000000-4-1-1-1-1-1-10005−55−55−55−51111000000000000000000000
χ404444444-1-4-4-1-1-1000000-4-1-1-1-1-1-1000−55−55−55−551111000000000000000000000
χ4144444-4-4-144-1-1-1004-44-4-4-11111-1000-1-111-1-111-1-111000000000000000000000
χ4244444-4-4-144-1-1-100-44-44-4-11111-100011-1-111-1-1-1-111000000000000000000000
χ4344444-4-4-1-4-4-1-1-10000004-11111-10005−5−555−5−5511-1-1000000000000000000000
χ4444444-4-4-1-4-4-1-1-10000004-11111-1000−555−5−555−511-1-1000000000000000000000
χ4544-44-4004004444400000-40000-4-4-44000000000000000000000000000000000
χ4644-44-400400444-4-400000-40000-444-4000000000000000000000000000000000
χ4744-4-4400-14-4-11100040-4015−55−5-10005−5-1-1−5511-115−5000000000000000000000
χ4844-4-4400-14-4-11100040-401−55−55-1000−55-1-15−511-11−55000000000000000000000
χ4944-4-4400-14-4-111000-404015−55−5-1000−55115−5-1-1-115−5000000000000000000000
χ5044-4-4400-14-4-111000-40401−55−55-10005−511−55-1-1-11−55000000000000000000000
χ5144-4-4400-1-44-1110040-40015−55−5-1000-1-15−511−551-1−55000000000000000000000
χ5244-4-4400-1-44-1110040-4001−55−55-1000-1-1−55115−51-15−5000000000000000000000
χ5344-4-4400-1-44-11100-4040015−55−5-100011−55-1-15−51-1−55000000000000000000000
χ5444-4-4400-1-44-11100-404001−55−55-1000115−5-1-1−551-15−5000000000000000000000
χ55888-8-88-8-200-2220000000-2-2-2222000000000000000000000000000000000000
χ56888-8-8-88-200-2220000000-222-2-22000000000000000000000000000000000000
χ5788-88-800-200-2-2-20000000225−25−25252000000000000000000000000000000000000
χ5888-88-800-200-2-2-200000002−252525−252000000000000000000000000000000000000
χ598-800000800-8008-800000000000000000000000000000000000000000000000
χ608-800000800-800-8800000000000000000000000000000000000000000000000
χ6116-1600000-40044i5−4i50000000000000000000000000000000000000000000000000
χ6216-1600000-4004−4i54i50000000000000000000000000000000000000000000000000

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