Finite Group Databasebeta

← Group #302245

Character table — Group #302245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-1-1-1111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-11-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-11-1-1-1-111-1-1-111-1-1-111-1-11111-1-1-1-11111
χ91111111111111-1-11111111-111-1-1-1-111-11-1-11-11-1-1-111-1-111-1-111-1-1
χ101111111111111-1-11111111-111-1-1-1-1-1-1-11-1-11-11-111-1-111-1-111-1-111
χ111111111111111-1-11111111-1-1-111-1-111-1-11-1-11-11-1-1-1-111-1-11111-1-1
χ121111111111111-1-11111111-1-1-111-1-1-1-1-1-11-1-11-111111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-1-111-1-1-1-1111-1111-1-11-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-111-1-1-1-1-1-11-1111-1-1111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-11111-11-111-1-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-111-11-111-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2000022222-2-2000000-2-20000000000000000
χ18222222222222-222-2-2-200002-2-2-2-2-2-2000000220000000000000000
χ19222222222222-2-2-2-2-2-20000-222-2-222000000-220000000000000000
χ20222222222222-2-2-2-2-2-20000-2-2-222220000002-20000000000000000
χ2122222222-2-2-2-2222-2-2222-2-2-200002-200-2002000000000000000000
χ2222222222-2-2-2-2222-2-22-2-222-200002-200200-2000000000000000000
χ2322222222-2-2-2-22-2-2-2-2222-2-220000-2200200-2000000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-22220000-2200-2002000000000000000000
χ2522222222-2-2-2-2-22222-20000-20000-2200022000-2-200000000000000
χ2622222222-2-2-2-2-22222-20000-20000-22000-2-20002200000000000000
χ2722222222-2-2-2-2-2-2-222-20000200002-20002-2000-2200000000000000
χ2822222222-2-2-2-2-2-2-222-20000200002-2000-220002-200000000000000
χ292222-2-2-2-22-22-22002-2-22-22-20000000000000000000002-2002-20000
χ302222-2-2-2-22-22-22002-2-22-22-2000000000000000000000-2200-220000
χ312222-2-2-2-22-22-22002-2-2-22-220000000000000000000002-200-220000
χ322222-2-2-2-22-22-22002-2-2-22-22000000000000000000000-22002-20000
χ332222-2-2-2-2-22-22200-22-22-2-2200000000000000000002-2002-2000000
χ342222-2-2-2-2-22-22200-22-22-2-220000000000000000000-2200-22000000
χ352222-2-2-2-2-22-22200-22-2-222-200000000000000000002-200-22000000
χ362222-2-2-2-2-22-22200-22-2-222-20000000000000000000-22002-2000000
χ374444-4-4-4-44-44-4-400-44400000000000000000000000000000000000
χ384444-4-4-4-4-44-44-4004-4400000000000000000000000000000000000
χ3944-4-444-4-44-4-44000000000004-40000000000000000000000000000
χ4044-4-444-4-44-4-4400000000000-440000000000000000000000000000
χ4144-4-444-4-4-444-400000000000004-400000000000000000000000000
χ4244-4-444-4-4-444-40000000000000-4400000000000000000000000000
χ4344-4-4-4-44444-4-40000000000000000000000000000000000000002i2−2i2
χ4444-4-4-4-44444-4-4000000000000000000000000000000000000000−2i22i2
χ4544-4-4-4-444-4-444000000000000000000000000000000000000022−2200
χ4644-4-4-4-444-4-4440000000000000000000000000000000000000−222200
χ474-4-44-444-4000004-4000000000000002i−2i000000002i−2i000000000000
χ484-4-44-444-4000004-400000000000000−2i2i00000000−2i2i000000000000
χ494-4-44-444-400000-44000000000000002i−2i00000000−2i2i000000000000
χ504-4-44-444-400000-4400000000000000−2i2i000000002i−2i000000000000
χ518-88-88-88-8000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-888-8-88000000000000000000000000000000000000000000000

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