Finite Group Databasebeta

← Group #488651

Character table — Group #488651

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order1222224444444444448888248888882244444416161616161616164444
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
χ511111111111-1-1111-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ611111111111-1-1111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ711111111111-1-1111-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ811111111111-1-1111-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ9111111-1-111111-1-1-1-1-111111-1-1-111-1-11-11-11-11-111-1-111-1-11-11-1
χ10111111-1-111111-1-1-1-1-111111-1-1-111-1-11-11-11-11-1-1-111-1-111-11-11
χ11111111-1-111111-1-1-1-1-111111-1-1-111-1-1-11-11-11-1111-1-111-1-1-11-11
χ12111111-1-111111-1-1-1-1-111111-1-1-111-1-1-11-11-11-11-1-111-1-1111-11-1
χ13111111-1-1111-1-1-1-1-1111111-11-1-1-1-1111-1-111-1-1111-1-1-1-1111-1-11
χ14111111-1-1111-1-1-1-1-1111111-11-1-1-1-1111-1-111-1-11-1-11111-1-1-111-1
χ15111111-1-1111-1-1-1-1-1111111-11-1-1-1-111-111-1-111-111-1-1-1-111-111-1
χ16111111-1-1111-1-1-1-1-1111111-11-1-1-1-111-111-1-111-1-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ1822222222222-2-2222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-2-2222-2-2220000-2-2000000000000002−22−22−22−20000
χ2022222222-2-2-2222-2-2220000-2-200000000000000−22−22−22−220000
χ2122222222-2-2-2-2-22-2-2-2-2000022000000000000002−22−2−22−220000
χ2222222222-2-2-2-2-22-2-2-2-200002200000000000000−22−222−22−20000
χ23222222-2-222222-2-2-2-2-2-2-2-2-22-222-2-22200000000000000000000
χ24222222-2-2222-2-2-2-2-222-2-2-2-2-222222-2-200000000000000000000
χ25222222-2-2-2-2-222-222-2-20000-22000000000000002−2−222−2−220000
χ26222222-2-2-2-2-222-222-2-20000-2200000000000000−222−2−222−20000
χ27222222-2-2-2-2-2-2-2-2222200002-2000000000000002−2−22−222−20000
χ28222222-2-2-2-2-2-2-2-2222200002-200000000000000−222−22−2−220000
χ292222-2-22222-200-22-20022-2-2002-20000002-200-22000000000000
χ302222-2-22222-200-22-20022-2-2002-2000000-22002-2000000000000
χ312222-2-22222-200-22-200-2-22200-2200002-200-2200000000000000
χ322222-2-22222-200-22-200-2-22200-220000-22002-200000000000000
χ332222-2-2-2-222-2002-220022-2-200-220000002200-2-2000000000000
χ342222-2-2-2-222-2002-220022-2-200-22000000-2-20022000000000000
χ352222-2-2-2-222-2002-2200-2-222002-200002200-2-200000000000000
χ362222-2-2-2-222-2002-2200-2-222002-20000-2-2002200000000000000
χ374444-4-444-4-4400-4-440000000000000000000000000000000000
χ384444-4-4-4-4-4-440044-40000000000000000000000000000000000
χ394-44-44-400000000004i−4i22−2222−220000002i2−2i200000000000000000000
χ404-44-44-400000000004i−4i−2222−2222000000−2i22i200000000000000000000
χ414-44-44-40000000000−4i4i22−2222−22000000−2i22i200000000000000000000
χ424-44-44-40000000000−4i4i−2222−22220000002i2−2i200000000000000000000
χ434-44-4-44000004i−4i0000022−22−222200002i2−2i20000000000000000000000
χ444-44-4-44000004i−4i00000−222222−220000−2i22i20000000000000000000000
χ454-44-4-4400000−4i4i0000022−22−22220000−2i22i20000000000000000000000
χ464-44-4-4400000−4i4i00000−222222−2200002i2−2i20000000000000000000000
χ4788-8-800008-80000000000000000000000000000000000000000
χ4888-8-80000-880000000000000000000000000000000000000000
χ498-8-88008i−8i000000000000000000000000000000000000000000
χ508-8-8800−8i8i000000000000000000000000000000000000000000

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