Finite Group Databasebeta

← Group #173510

Character table — Group #173510

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444224444444444422444488888888888822
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111111-1-1-1-1-1-11-1-1-11-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111111-1-1-1-1-1-11-1-1-11-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-11-1-1-1-11111-1-1-11-1-1-111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11-1-1-1-11111-1-1-11-1-1-11-1-1-1-111111111-1-1
χ91111111111-1-1-1-1-1-1111111-111-1-111-1-1-1-11-11-1-1111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-1111111-111-1-111-1-1-1-11-11-1-11-1-111-1-111-1-111-11
χ111111111111-1-1-1-1-1-1111111-1-1-111-1-111-1-1-111-11-111-1-111-1-1-1-111-11
χ121111111111-1-1-1-1-1-1111111-1-1-111-1-111-1-1-111-11-1-1-111-1-11111-1-11-1
χ131111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-11-1-1-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-111111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1111-1-11111-1-111-1-1-11
χ17222222222-22222-2-2-22-2-200-200002222000-2000-200000000000000
χ18222222222-22222-2-2-22-2-200-20000-2-2-2-20002000200000000000000
χ19222222222-2-2-2-2-222-22-2-2002000022-2-20002000-200000000000000
χ20222222222-2-2-2-2-222-22-2-20020000-2-222000-2000200000000000000
χ2122222222-2222-2-222-2-22-200-22222000000-2000-2000000000000000
χ2222222222-2222-2-222-2-22-200-2-2-2-2-200000020002000000000000000
χ2322222222-22-2-222-2-2-2-22-200222-2-2000000-20002000000000000000
χ2422222222-22-2-222-2-2-2-22-2002-2-2220000002000-2000000000000000
χ2522222222-2-222-2-2-2-22-2-2222200000000-2-200-220000000000000000
χ2622222222-2-222-2-2-2-22-2-22-2-220000000022002-20000000000000000
χ2722222222-2-2-2-222222-2-2222-2000000002200-2-20000000000000000
χ2822222222-2-2-2-222222-2-22-2-2-200000000-2-200220000000000000000
χ292-2-2-2-222200002-22-2-20022-20000000002-20000002−22−22−22−2000000
χ302-2-2-2-222200002-22-2-20022-20000000002-2000000−22−22−22−22000000
χ312-2-2-2-222200002-22-2-2002-22000000000-220000002−22−2−22−22000000
χ322-2-2-2-222200002-22-2-2002-22000000000-22000000−22−222−22−2000000
χ332-2-2-2-22220000-22-22-20022-2000000000-220000002−2−222−2−22000000
χ342-2-2-2-22220000-22-22-20022-2000000000-22000000−222−2−222−2000000
χ352-2-2-2-22220000-22-22-2002-220000000002-20000002−2−22−222−2000000
χ362-2-2-2-22220000-22-22-2002-220000000002-2000000−222−22−2−22000000
χ3744-44-44-4-40400000000-400004i−4i0000000000000000000000000000
χ3844-44-44-4-40400000000-40000−4i4i0000000000000000000000000000
χ3944-44-44-4-40-40000000040000004-400000000000000000000000000
χ4044-44-44-4-40-4000000004000000-4400000000000000000000000000
χ414-444-4-44-4400000000-4000000000004i−4i0000000000000000000000
χ424-444-4-44-4400000000-400000000000−4i4i0000000000000000000000
χ434-444-4-44-4-40000000040000000004-4000000000000000000000000
χ444-444-4-44-4-4000000004000000000-44000000000000000000000000
χ454-4-444-4-44004-4000000000000000000000000000000000002-22-200
χ464-4-444-4-44004-400000000000000000000000000000000000-22-2200
χ474-4-444-4-4400-44000000000000000000000000000000000002-2-2200
χ484-4-444-4-4400-4400000000000000000000000000000000000-222-200
χ494-4-4-4-444400004-4-44400-4000000000000000000000000000000000
χ504-4-4-4-44440000-444-4400-4000000000000000000000000000000000
χ51888-8-8-8-88000000000000000000000000000000000000000000000
χ5288-8-88-88-8000000000000000000000000000000000000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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