Finite Group Databasebeta

← Group #9801

Character table — Group #9801

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222224444444488888888448888888888888888888844448888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9111111-111-1-1-1-1-11111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i
χ10111111-111-1-1-1-1-11111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii
χ11111111-111-1-1-1-1-11111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii
χ12111111-111-1-1-1-1-11111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i
χ13111111-111-1-1-1-1-1-1-1-1-111111-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii
χ14111111-111-1-1-1-1-1-1-1-1-111111-1-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i
χ15111111-111-1-1-1-1-1-1-1-1-111111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i
χ16111111-111-1-1-1-1-1-1-1-1-111111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii
χ172222222-2-222-2-2200000000-2-200000000000022-2-222-2-200000000
χ182222222-2-222-2-2200000000-2-2000000000000-2-222-2-22200000000
χ19222222-2-2-2-2-222-200000000-220000000000002i2i−2i−2i−2i−2i2i2i00000000
χ20222222-2-2-2-2-222-200000000-22000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ212222-2-2222-2-2-2-222222-2-2-2-2-22-2-222000000000000000000000000
χ222222-2-2222-2-2-2-22-2-2-2-22222-2222-2-2000000000000000000000000
χ232222-2-22-2-2-2-2222000000002-2000022-2-222-2-20000000000000000
χ242222-2-22-2-2-2-2222000000002-20000-2-222-2-2220000000000000000
χ252222-2-2-2222222-222222222-2-2-2-2-2-2000000000000000000000000
χ262222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ272222-2-2-2-2-222-2-2-2000000002200002i2i−2i−2i−2i−2i2i2i0000000000000000
χ282222-2-2-2-2-222-2-2-200000000220000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ2922-2-22-22002-200-222−2−222−2−2002−22−22−22−22−22−2002-2002-200000000
χ3022-2-22-22002-200-222−2−222−2−2002−22−2−22−22−22−2200-2200-2200000000
χ3122-2-22-22002-200-2−2−222−2−22200−22−222−22−22−22−200-2200-2200000000
χ3222-2-22-22002-200-2−2−222−2−22200−22−22−22−22−22−22002-2002-200000000
χ3322-2-22-2-200-2200222−2−2−2−222002−2−22i2−i2i2−i2−i2i2−i2i2002i−2i00−2i2i00000000
χ3422-2-22-2-200-2200222−2−2−2−222002−2−22−i2i2−i2i2i2−i2i2−i200−2i2i002i−2i00000000
χ3522-2-22-2-200-22002−2−22222−2−200−222−2i2−i2i2−i2−i2i2−i2i200−2i2i002i−2i00000000
χ3622-2-22-2-200-22002−2−22222−2−200−222−2−i2i2−i2i2i2−i2i2−i2002i−2i00−2i2i00000000
χ3722-2-2-22200-2200-222−2−2−2−22200−222−22−2−222−2−222-2002-20000000000
χ3822-2-2-22200-2200-222−2−2−2−22200−222−2−222−2−222−2-2200-220000000000
χ3922-2-2-22200-2200-2−2−22222−2−2002−2−222−2−222−2−22-2200-220000000000
χ4022-2-2-22200-2200-2−2−22222−2−2002−2−22−222−2−222−22-2002-20000000000
χ4122-2-2-22-2002-200222−2−222−2−200−22−22i2−i2−i2i2−i2i2i2−i22i−2i00−2i2i0000000000
χ4222-2-2-22-2002-200222−2−222−2−200−22−22−i2i2i2−i2i2−i2−i2i2−2i2i002i−2i0000000000
χ4322-2-2-22-2002-2002−2−222−2−222002−22−2i2−i2−i2i2−i2i2i2−i2−2i2i002i−2i0000000000
χ4422-2-2-22-2002-2002−2−222−2−222002−22−2−i2i2i2−i2i2−i2−i2i22i−2i00−2i2i0000000000
χ454-44-40004-40000000004-44-4000000000000000000000000000000
χ464-44-40004-4000000000-44-44000000000000000000000000000000
χ474-44-4000-44000004-44-40000000000000000000000000000000000
χ484-44-4000-4400000-44-440000000000000000000000000000000000
χ494-4-4400000004-4022−22−222222−22−2222000000000000000000000000000000
χ504-4-4400000004-40−222222−22−222222−22000000000000000000000000000000
χ514-4-440000000-44022−22−2222−222222−22000000000000000000000000000000
χ524-4-440000000-440−222222−2222−22−2222000000000000000000000000000000

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