Finite Group Databasebeta

← Group #332921

Character table — Group #332921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444444488888888888816161616161616161616161616161632323232
order12222244444444444444444888888882244444888888884488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1
χ51111111111111111111-1-111111111111-1-11-1-1-111-1-111-1-1-1-11-1
χ61111111111111111111-1-11111111111-11-1-11-1-1-1-111-1-111-1-1-11
χ71111111111111111111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-111-1-111111-1
χ81111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-111-11
χ91111111111111-1-1-1-11111-1-11111-1-1-1-111-1111-111-1-1-1-1111-1-1-1
χ101111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-11111-1-11-111
χ111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1111-1-1-11111-1-1-11-1-1
χ121111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-111-1111
χ131111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111111-1-1-1-1-11-11
χ141111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-11-11-1-1-1-11111-111-1
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-11-1-1-1-111111-1-11
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-11-111111-1-1-1-11-11-1
χ1722222222-2-222-22222-2-222-2-20000000000200-2-2000000000000
χ1822222222-2-222-22222-2-2-2-2-2-20000000000-20022000000000000
χ1922222222-2-222-2-2-2-2-2-2-222220000000000-200-22000000000000
χ2022222222-2-222-2-2-2-2-2-2-2-2-22200000000002002-2000000000000
χ212222-2-22-2222-2-200002-20000000022-2-20200-200002-200000000
χ222222-2-22-2222-2-200002-20000000022-2-20-20020000-2200000000
χ232222-2-22-2222-2-200002-200000000-2-2220200-20000-2200000000
χ242222-2-22-2222-2-200002-200000000-2-2220-200200002-200000000
χ252222-2-2-2222-22-20000-22000022-2-20000200-20002-20000000000
χ262222-2-2-2222-22-20000-22000022-2-20000-2002000-220000000000
χ272222-2-2-2222-22-20000-220000-2-2220000200-2000-220000000000
χ282222-2-2-2222-22-20000-220000-2-2220000-20020002-20000000000
χ29444444-4-444-4-440000-4-40000000000000000000000000000000
χ30444444-4-4-4-4-4-4-40000440000000000000000000000000000000
χ314444-4-44-4-4-44-440000-440000000000000000000000000000000
χ324444-4-4-44-4-4-44400004-40000000000000000000000000000000
χ3344-4-400004-400022-2-200002-20022−220022−220000000000000000000
χ3444-4-400004-400022-2-200002-200−222200−22220000000000000000000
χ3544-4-400004-4000-2-2220000-220022−2200−22220000000000000000000
χ3644-4-400004-4000-2-2220000-2200−22220022−220000000000000000000
χ3744-4-40000-4400022-2-20000-2222−220022−22000000000000000000000
χ3844-4-40000-4400022-2-20000-22−222200−2222000000000000000000000
χ3944-4-40000-44000-2-22200002-222−2200−2222000000000000000000000
χ4044-4-40000-44000-2-22200002-2−22220022−22000000000000000000000
χ414-44-44-44400-4-400000004-400000000000000000000000000000
χ424-44-44-44400-4-40000000-4400000000000000000000000000000
χ434-44-44-4-4-4004404-44-4000000000000000000000000000000000
χ444-44-44-4-4-400440-44-44000000000000000000000000000000000
χ454-44-4-444-400-440000000000000000000000000000002i2−2i2000000
χ464-44-4-444-400-44000000000000000000000000000000−2i22i2000000
χ474-44-4-44-44004-4000000000000000000000000000000002i2−2i20000
χ484-44-4-44-44004-400000000000000000000000000000000−2i22i20000
χ498-8-880000000004-4-44000000000000000000000000000000000
χ508-8-88000000000-444-4000000000000000000000000000000000

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