Finite Group Databasebeta

← Group #263370

Character table — Group #263370

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order12222244444444444488884488888822444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111-1-1-1-1-1-11-11-111-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-1111111-1-111-1-1-1-111-1-11-11-111-1-1-1-1111-11-1
χ10111111111111-1-1-1-1111111-1-111-1-1-1-111-1-11-11-1-1-11111-1-1-11-11
χ11111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-11-1111-1-1-1-111-11-11
χ12111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-11-11-1-11111-1-11-11-1
χ13111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-111-1-11-1-11
χ14111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-11-1-111-1-111-111-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-111-111-1-111-1-1-111-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-111-1-1-111-1-1111-1-11
χ172222222222-2-222-2-2-2-222222-2-2-222-2-200000000000000000000
χ182222222222-2-222-2-2-2-2-2-2-2-22-222-2-22200000000000000000000
χ192222222222-2-2-2-222-2-22222-22-2-2-2-22200000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-2-222222-2-200000000000000000000
χ21222222-2-2-2-2222222-2-20000-2-20000000000000000002i−2i2i−2i0000
χ22222222-2-2-2-2222222-2-20000-2-2000000000000000000−2i2i−2i2i0000
χ23222222-2-2-2-222-2-2-2-2-2-20000220000000000000000002i−2i−2i2i0000
χ24222222-2-2-2-222-2-2-2-2-2-2000022000000000000000000−2i2i2i−2i0000
χ25222222-2-2-2-2-2-222-2-2220000-22000000000000002-22-200000000
χ26222222-2-2-2-2-2-222-2-2220000-2200000000000000-22-2200000000
χ27222222-2-2-2-2-2-2-2-2222200002-2000000000000002-2-2200000000
χ28222222-2-2-2-2-2-2-2-2222200002-200000000000000-222-200000000
χ292222-2-2-2-2222-200002-222-2-2002-2000000220-20-2000000000000
χ302222-2-2-2-2222-200002-222-2-2002-2000000-2-20202000000000000
χ312222-2-2-2-2222-200002-2-2-22200-220000002-20-202000000000000
χ322222-2-2-2-2222-200002-2-2-22200-22000000-22020-2000000000000
χ332222-2-2-2-222-220000-2222-2-200-2200002200-20-20000000000000
χ342222-2-2-2-222-220000-2222-2-200-220000-2-2002020000000000000
χ352222-2-2-2-222-220000-22-2-222002-200002-200-2020000000000000
χ362222-2-2-2-222-220000-22-2-222002-20000-220020-20000000000000
χ374444-4-444-4-44-40000-4400000000000000000000000000000000
χ384444-4-444-4-4-4400004-400000000000000000000000000000000
χ394-44-44-4000000004i−4i0022−2222−220000002i2−2i200000000000000000000
χ404-44-44-4000000004i−4i00−2222−2222000000−2i22i200000000000000000000
χ414-44-44-400000000−4i4i0022−2222−22000000−2i22i200000000000000000000
χ424-44-44-400000000−4i4i00−2222−22220000002i2−2i200000000000000000000
χ434-44-4-440000004i−4i000022−22−222200002i2−2i20000000000000000000000
χ444-44-4-440000004i−4i0000−222222−220000−2i22i20000000000000000000000
χ454-44-4-44000000−4i4i000022−22−22220000−2i22i20000000000000000000000
χ464-44-4-44000000−4i4i0000−222222−2200002i2−2i20000000000000000000000
χ4788-8-800008-80000000000000000000000000000000000000000
χ4888-8-80000-880000000000000000000000000000000000000000
χ498-8-88008i−8i000000000000000000000000000000000000000000
χ508-8-8800−8i8i000000000000000000000000000000000000000000

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