Finite Group Databasebeta

← Group #249883

Character table — Group #249883

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222444444444888888888888888888161616161616161616161616161616163232
order12222244222244444222222224444448888244444448888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-11-1-1-1-1-1-1-1-1-1-1111-1-1
χ3111111111111111111111111-1-1-1111-111-1-1-1-1-111-1-1-11-1-111-1-1-11-1
χ4111111111111111111111111-1-1-1111-1-1-1-1-1-11-1-1-1111-111-1-1-1-1-1-11
χ5111111111111111111-1-1-1-1-1-11111-1-1111-1-1111111-1-1111-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-11-11-1-1-111-1-1-111-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-111-1111-1-1-1-1111-11
χ8111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-11-1-1-11-1-1-111111111-1
χ9111111111-1-11-1-1111-11111-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1-1111-1-111-111
χ10111111111-1-11-1-1111-11111-1-1111-1-1-11-1-1-1-1-11-111111-1-1-11111-1-1-1
χ11111111111-1-11-1-1111-11111-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-111-1
χ12111111111-1-11-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-11-11
χ13111111111-1-11-1-1111-1-1-1-1-111111-11111111-1-1-1-1-1-11111111-1-11-1-1
χ14111111111-1-11-1-1111-1-1-1-1-111111-1111-1-111-11-1111-1-1-1-1-1-1-1-1-1111
χ15111111111-1-11-1-1111-1-1-1-1-111-1-1-1-111-111-1-1111-1-11-1-11-1-11111-1-11
χ16111111111-1-11-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1111-111-111-1-111-11-1
χ1722222222-222-2-2-22-2-22000000000-20002200000-22000-2000000000
χ1822222222-222-2-2-22-2-22000000000-2000-2-2000002-20002000000000
χ1922222222-2-2-2-2222-2-2-2000000000200022000002-2000-2000000000
χ2022222222-2-2-2-2222-2-2-20000000002000-2-200000-220002000000000
χ21222222-2-2-200-200-22200000222-220-2-2-20022000000000000000-200
χ22222222-2-2-200-200-2220000022-22-20-2-2200-2-2000000000000000200
χ23222222-2-2-200-200-22200000-2-22-22022-200-2-2000000000000000200
χ24222222-2-2-200-200-22200000-2-2-22-202220022000000000000000-200
χ252222-2-222222-222-2-22-20000002-2-2-2002000020-2000000000000000
χ262222-2-222222-222-2-22-2000000-222-200-20000-202000000000000000
χ272222-2-2222-2-2-2-2-2-2-2220000002-2-220020000-202000000000000000
χ282222-2-2222-2-2-2-2-2-2-222000000-222200-2000020-2000000000000000
χ292222-2-222-2222-2-2-22-2-20000000002000000002000-20002-20000000
χ302222-2-222-2222-2-2-22-2-2000000000200000000-20002000-220000000
χ312222-2-222-2-2-2222-22-22000000000-2000000002000-2000-220000000
χ322222-2-222-2-2-2222-22-22000000000-200000000-200020002-20000000
χ332222-2-2-2-2-2002002-22022-2-20022-2000-2000000000000000002-2000
χ342222-2-2-2-2-2002002-22022-2-200-2-22000200000000000000000-22000
χ352222-2-2-2-2-2002002-220-2-2220022-2000-200000000000000000-22000
χ362222-2-2-2-2-2002002-220-2-22200-2-220002000000000000000002-2000
χ37444444-4-4400400-4-4-4000000000000000000000000000000000000
χ384444-4-4-4-4400-40044-4000000000000000000000000000000000000
χ394-44-44-400000000000000000000000002i2−2i222−220000002i−2i0000000000
χ404-44-44-400000000000000000000000002i2−2i2−2222000000−2i2i0000000000
χ414-44-44-40000000000000000000000000−2i22i222−22000000−2i2i0000000000
χ424-44-44-40000000000000000000000000−2i22i2−22220000002i−2i0000000000
χ434-4-44004-400004-400002-22-22-200002-200000000000000000000000
χ444-4-44004-400004-40000-22-22-220000-2200000000000000000000000
χ454-4-44004-40000-4400002-22-2-220000-2200000000000000000000000
χ464-4-44004-40000-440000-22-222-200002-200000000000000000000000
χ474-4-4400-4404-400000002-2-222-20000-2200000000000000000000000
χ484-4-4400-4404-40000000-222-2-2200002-200000000000000000000000
χ494-4-4400-440-4400000002-2-22-2200002-200000000000000000000000
χ504-4-4400-440-440000000-222-22-20000-2200000000000000000000000
χ5188-8-80000000000000000000000000000000000000000002i2−2i200000
χ5288-8-8000000000000000000000000000000000000000000−2i22i200000
χ538-88-8-8800000000000000000000000000000000000000000000000

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