Finite Group Databasebeta

← Group #13070

Character table — Group #13070

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size112222222224444444444444444444444444441616161616161616
order12222444488224488888881616161616161616161616161616161624448888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9111-1-1-111-1-1-11-11-111-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−i1-1i−i
χ10111-1-1-111-1-1-11-11-111-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii-11−ii
χ11111-1-1-111-1-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii1-1−ii
χ12111-1-1-111-1-1-11-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−i-11i−i
χ13111-1-1-111-1-1-1-11-1111-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1i−i-11−ii
χ14111-1-1-111-1-1-1-11-1111-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11−ii1-1i−i
χ15111-1-1-111-1-1-1-11-1111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1−ii-11i−i
χ16111-1-1-111-1-1-1-11-1111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11i−i1-1−ii
χ17222222222-2-22222-2-2-2-2-2-2-2000000000000000000000000
χ18222222222-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222-2-2-2-20000000002i−2i2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000
χ2022222-2-2-2-20000000002i−2i2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000
χ2122222-2-2-2-2000000000−2i2i−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000
χ2222222-2-2-2-2000000000−2i2i−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000
χ23222-2-22-2-220000000002i−2i−2i2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000
χ24222-2-22-2-220000000002i−2i−2i2i−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000
χ25222-2-22-2-22000000000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000
χ26222-2-22-2-22000000000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000
χ27222-2-2-222-2222-22-2-2-22-2-222000000000000000000000000
χ28222-2-2-222-222-22-22-2-2222-2-2000000000000000000000000
χ2922-22-222-2-2002-2-220000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ3022-22-222-2-2002-2-220000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ3122-22-222-2-200-222-20000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ3222-22-222-2-200-222-20000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ3322-22-2-2-2222200002-2-20000000000002-2-222-2-2200000000
χ3422-22-2-2-2222200002-2-2000000000000-222-2-222-200000000
χ3522-22-2-2-222-2-20000-22200002i−2i−2i2i2i−2i−2i2i0000000000000000
χ3622-22-2-2-222-2-20000-2220000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ3722-2-222-22-2220000-22-200002-2-22-222-20000000000000000
χ3822-2-222-22-2220000-22-20000-222-22-2-220000000000000000
χ3922-2-222-22-2-2-200002-220000000000002i−2i−2i2i−2i2i2i−2i00000000
χ4022-2-222-22-2-2-200002-22000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ4122-2-22-22-220022-2-200000002−22−2−22−222−22−2−22−2200000000
χ4222-2-22-22-220022-2-20000000−22−222−22−2−22−222−22−200000000
χ4322-2-22-22-2200-2-22200000002−22−2−22−22−22−222−22−200000000
χ4422-2-22-22-2200-2-2220000000−22−222−22−22−22−2−22−2200000000
χ458-800000004i2−4i200000000000000000000000000000000000
χ468-80000000−4i24i200000000000000000000000000000000000

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