Finite Group Databasebeta

← Group #246295

Character table — Group #246295

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444222244444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-11-111-1-1-1-1111-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111-1-1111-1-11-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1
χ5111111111111111111-1-111111-1-111-1-1111-1-1111-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111111-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-111-1-11-1-1-1-1-1111-111-111-11-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-111-1-11-1-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-11111
χ91111111111111-1-111111-1-111-111-1-1-1-111111-1-1-1-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-111-111-1-1-1-1-1-1111-111-1-1-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-11111-1111-1-1-11-1-1-11-1-111-1-11111-1-1
χ121111111111111-1-111111-1-1-1-1-11111-11-1-1-1-1-1111-1111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-111-1-1-1-1-111111-1-1-1-1-11111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-111-1-1-1-1-111-1-11-1-1-11111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111-111-1111-1-11-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-111-1-1-1-11111-1-1
χ17222222222222-222-2-2-200-2-222200220000-200-20000000000000000
χ18222222222222-222-2-2-200-2-2-2-2200-2-2000020020000000000000000
χ19222222222222-2-2-2-2-2-2002222-200-2-20000-20020000000000000000
χ20222222222222-2-2-2-2-2-20022-2-2-200220000200-20000000000000000
χ2122222222-2-2-2-2222-2-22222-200-2-2-200-200000000020000000000000
χ2222222222-2-2-2-2222-2-22-2-22-200-222002000000000-20000000000000
χ2322222222-2-2-2-22-2-2-2-2222-22002-2-2002000000000-20000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-2-220022200-200000000020000000000000
χ2522222222-2-2-2-2-22222-200-2200-20000020002-20000-2000000000000
χ2622222222-2-2-2-2-22222-200-2200-200000-2000-2200002000000000000
χ2722222222-2-2-2-2-2-2-222-2002-2002000002000-220000-2000000000000
χ2822222222-2-2-2-2-2-2-222-2002-200200000-20002-200002000000000000
χ292-22-2-2-2222-22-2-2002-222-2000002-200000000002-20000000000002-2
χ302-22-2-2-2222-22-2-2002-222-2000002-20000000000-22000000000000-22
χ312-22-2-2-2222-22-2-2002-22-2200000-2200000000002-2000000000000-22
χ322-22-2-2-2222-22-2-2002-22-2200000-220000000000-220000000000002-2
χ332-22-2-2-222-22-22-200-2222-200000-2200002-200000000000000002-200
χ342-22-2-2-222-22-22-200-2222-200000-220000-220000000000000000-2200
χ352-22-2-2-222-22-22-200-222-22000002-200002-20000000000000000-2200
χ362-22-2-2-222-22-22-200-222-22000002-20000-2200000000000000002-200
χ3744-44-4-4-4444-4-40000000000000000000000000000000002i2−2i2000000
χ3844-44-4-4-4444-4-4000000000000000000000000000000000−2i22i2000000
χ3944-44-4-4-44-4-4440000000000000000000000000000000000022−220000
χ4044-44-4-4-44-4-44400000000000000000000000000000000000−22220000
χ414-444-44-4-4000004i−4i000000000000000000000000002-22i−2i00000000
χ424-444-44-4-4000004i−4i00000000000000000000000000-22−2i2i00000000
χ434-444-44-4-400000−4i4i000000000000000000000000002-2−2i2i00000000
χ444-444-44-4-400000−4i4i00000000000000000000000000-222i−2i00000000
χ454-44-4-4-4444-44-4400-44-400000000000000000000000000000000000
χ464-44-4-4-444-44-444004-4-400000000000000000000000000000000000
χ474-4-4-444-444-4-440000000000000004-4000000000000000000000000
χ484-4-4-444-444-4-44000000000000000-44000000000000000000000000
χ494-4-4-444-44-444-400000000004-400000000000000000000000000000
χ504-4-4-444-44-444-40000000000-4400000000000000000000000000000
χ51888-88-8-8-8000000000000000000000000000000000000000000000
χ5288-8-8-888-8000000000000000000000000000000000000000000000
χ538-8-888-88-8000000000000000000000000000000000000000000000

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