Finite Group Databasebeta

← Group #261455

Character table — Group #261455

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422222244444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-1-1-1-111-111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ91111111111111-1-111111-1-111-1-1-1111-1-11-1-1111-1-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-111-1-1-1111-1-11-1-1-1-11-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1111-1111-11-1-111-1-1-1-111-1-111
χ121111111111111-1-111111-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-11111-1-1-111-11-1-11-111-11-1-1-1-11111-1-1-1-111
χ141111111111111-1-1111-1-11111-1-1-111-11-1-11-1-1-1-111111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-111-1-1-1-1-1-1-11-11-111111-1-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-111-1-1-1-1-1-1-11-11-111-1-11-11111-1-111-1-1-1-111
χ17222222222222-222-2-2-22222002-2-200000-2-20000000000000000000
χ18222222222222-222-2-2-2-2-2-2-2002-2-200000220000000000000000000
χ19222222222222-2-2-2-2-2-222-2-200-22200000-220000000000000000000
χ20222222222222-2-2-2-2-2-2-2-22200-222000002-20000000000000000000
χ2122222222-2-2-2-2222-2-22000000-22-20022000000-2-200000000000000
χ2222222222-2-2-2-2222-2-22000000-22-200-2-20000002200000000000000
χ2322222222-2-2-2-22-2-2-2-220000002-22002-2000000-2200000000000000
χ2422222222-2-2-2-22-2-2-2-220000002-2200-220000002-200000000000000
χ2522222222-2-2-2-2-22222-2000022-2-22-2-200-2002000000000000000000
χ2622222222-2-2-2-2-22222-20000-2-2-2-222200200-2000000000000000000
χ2722222222-2-2-2-2-2-2-222-200002222-2-2-200200-2000000000000000000
χ2822222222-2-2-2-2-2-2-222-20000-2-222-22200-2002000000000000000000
χ292-22-22-2-2222-2-22002-2-200002-20002-20000002i−2i000000002i−2i000000
χ302-22-22-2-2222-2-22002-2-200002-20002-2000000−2i2i00000000−2i2i000000
χ312-22-22-2-2222-2-22002-2-20000-22000-220000002i−2i00000000−2i2i000000
χ322-22-22-2-2222-2-22002-2-20000-22000-22000000−2i2i000000002i−2i000000
χ332-22-22-2-22-2-222-2002-2200002-2000-2200000000002-20000002-20000
χ342-22-22-2-22-2-222-2002-2200002-2000-220000000000-22000000-220000
χ352-22-22-2-22-2-222-2002-220000-220002-200000000002-2000000-220000
χ362-22-22-2-22-2-222-2002-220000-220002-20000000000-220000002-20000
χ3744-4-444-4-4000004-4000000000000000000000000002i−2i2i−2i00000000
χ3844-4-444-4-4000004-400000000000000000000000000−2i2i−2i2i00000000
χ3944-4-444-4-400000-44000000000000000000000000002i−2i−2i2i00000000
χ4044-4-444-4-400000-4400000000000000000000000000−2i2i2i−2i00000000
χ4144-4-4-4-4444-44-4000000000000000000000000000000000000022−2200
χ4244-4-4-4-4444-44-40000000000000000000000000000000000000−222200
χ4344-4-4-4-444-44-4400000000000000000000000000000000000000022−22
χ4444-4-4-4-444-44-44000000000000000000000000000000000000000−2222
χ454-44-44-4-4444-4-4-400-44400000000000000000000000000000000000
χ464-44-44-4-44-4-444400-44-400000000000000000000000000000000000
χ474-4-44-44-444-4-440000004-4000000000000000000000000000000000
χ484-4-44-44-444-4-44000000-44000000000000000000000000000000000
χ494-4-44-44-44-444-4000000004-40000000000000000000000000000000
χ504-4-44-44-44-444-400000000-440000000000000000000000000000000
χ518888-8-8-8-8000000000000000000000000000000000000000000000
χ528-88-8-888-8000000000000000000000000000000000000000000000
χ538-8-888-88-8000000000000000000000000000000000000000000000

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