Finite Group Databasebeta

← Group #278008

Character table — Group #278008

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488224488888884488888888888888888824
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111
χ511111111111111111-1-1-1-1111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-111
χ611111111111111111-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-11111111-1-1
χ711111111111111111-1-1-1-11-1-1-1-11111-1-1-11111-1-111-11111-1-1-1-1
χ811111111111111111-1-1-1-11-1-1-1-111-1-11-1-11111-1-1-1-11-1-1-1-11111
χ9111111111111111-1-11111-111-1-1-1-11111-111-1-1-1-1-1-1111-1-1-1-11-1
χ10111111111111111-1-11111-111-1-1-1-1-1-1-11-111-1-1-1-111-1-1-11111-11
χ11111111111111111-1-11111-1-1-111-1-1111-11-1-111-1-1-1-11-1-111-1-1-11
χ12111111111111111-1-11111-1-1-111-1-1-1-1-1-11-1-111-1-111-111-1-1111-1
χ13111111111111111-1-1-1-1-1-1-111-1-1-1-111-11-1-1-11111-1-1-1-1-111111-1
χ14111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111111111-1-1-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-111-1-1-111-1-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11-1111-1-111111-1-111-1-11-1
χ172222222-2-2-22-22-2-20022-2-20000000000000000002i−2i000002i−2i00
χ182222222-2-2-22-22-2-20022-2-2000000000000000000−2i2i00000−2i2i00
χ192222222-2-2-22-22-2-200-2-2220000000000000000002i−2i00000−2i2i00
χ202222222-2-2-22-22-2-200-2-222000000000000000000−2i2i000002i−2i00
χ21222222-2222-22-2-2-2220000222-2-2-2-2000-2200000000000000000
χ22222222-2222-22-2-2-22200002-2-222-2-20002-200000000000000000
χ23222222-2222-22-2-2-2-2-20000-2222222000-2-200000000000000000
χ24222222-2222-22-2-2-2-2-20000-2-2-2-2-2220002200000000000000000
χ252222-2-222-2-222-2-22222-22-2-200002-20000000002-200000000000
χ262222-2-222-2-222-2-2222-22-22-200002-2000000000-2200000000000
χ272222-2-222-2-222-2-22-2-22-22-220000-22000000000-2200000000000
χ282222-2-222-2-222-2-22-2-2-22-2220000-220000000002-200000000000
χ292222-2-22-2222-2-22-2002-2-2200000002-220000000000-200000000
χ302222-2-22-2222-2-22-2002-2-220000000-22-20000000000200000000
χ312222-2-22-2222-2-22-200-222-200000002-2-20000000000200000000
χ322222-2-22-2222-2-22-200-222-20000000-2220000000000-200000000
χ332222-2-2-22-2-2-2222-2220000-20000-22000002i−2i2i−2i0000000000000
χ342222-2-2-22-2-2-2222-2220000-20000-2200000−2i2i−2i2i0000000000000
χ352222-2-2-22-2-2-2222-2-2-20000200002-2000002i−2i−2i2i0000000000000
χ362222-2-2-22-2-2-2222-2-2-20000200002-200000−2i2i2i−2i0000000000000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ384444-4-4-4-444-4-44-4400000000000000000000000000000000000
χ394-4-444-4044-40-40000000000004i−4i000000000000000000000000
χ404-4-444-4044-40-4000000000000−4i4i000000000000000000000000
χ414-4-444-40-4-440400000000000000000000000000000022−22000000
χ424-4-444-40-4-4404000000000000000000000000000000−2222000000
χ434-4-44-4404-440-400000000004i−4i00000000000000000000000000
χ444-4-44-4404-440-40000000000−4i4i00000000000000000000000000
χ454-4-44-440-44-4040000000000000000000000000000000022−220000
χ464-4-44-440-44-40400000000000000000000000000000000−22220000
χ4788-8-8000000000004i2−4i2000000000000000000000000000000000
χ4888-8-800000000000−4i24i2000000000000000000000000000000000
χ498-88-8008000-8000000000000000000000000000000000000000
χ508-88-800-80008000000000000000000000000000000000000000

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