Finite Group Databasebeta

← Group #303305

Character table — Group #303305

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422224444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ91111111111111-1-11111111-1-1-1-1-1111-11-1-1-111-1-11-111-1-111-1-111-1-1
χ101111111111111-1-11111111-1-1-1-1-1111-11-1-1-1-1-1111-1-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1111-1-1-1-111-1-111
χ121111111111111-1-111111-1-1-1-1-1-1-1-1-1-111-111-1-111-11-1-11111-1-111-1-1
χ131111111111111-1-1111-1-111-1-1-11111-11-11-1-111-1-1-11-1-111-1-11111-1-1
χ141111111111111-1-1111-1-111-1-1-11111-11-11-1-1-1-111-1111-1-111-1-1-1-111
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-11-1-111111-1-11-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-11-1-1111-1-1111-111-1-1-1-11111-1-1
χ17222222222222-222-2-2-222002-2-2220000-2-200000000000000000000
χ18222222222222-222-2-2-2-2-2002-2-2-2-200002200000000000000000000
χ19222222222222-2-2-2-2-2-22200-222-2-20000-2200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-200-2222200002-200000000000000000000
χ2122222222-2-2-2-2222-2-220022-22-200-2-200002-2000000000000000000
χ2222222222-2-2-2-2222-2-2200-2-2-22-200220000-22000000000000000000
χ2322222222-2-2-2-22-2-2-2-2200222-2200-2-20000-22000000000000000000
χ2422222222-2-2-2-22-2-2-2-2200-2-22-22002200002-2000000000000000000
χ2522222222-2-2-2-2-22222-20000-2-2200002-200000000-22000000000000
χ2622222222-2-2-2-2-22222-20000-2-220000-22000000002-2000000000000
χ2722222222-2-2-2-2-2-2-222-2000022-200002200000000-2-2000000000000
χ2822222222-2-2-2-2-2-2-222-2000022-20000-2-20000000022000000000000
χ292-222-2-2-222-22-22002-2-2002-2000002-2000000000000002i−2i002i−2i0000
χ302-222-2-2-222-22-22002-2-2002-2000002-200000000000000−2i2i00−2i2i0000
χ312-222-2-2-222-22-22002-2-200-2200000-22000000000000002i−2i00−2i2i0000
χ322-222-2-2-222-22-22002-2-200-2200000-2200000000000000−2i2i002i−2i0000
χ332-222-2-2-22-22-22200-22-2002-200000-220000000000002i−2i002i−2i000000
χ342-222-2-2-22-22-22200-22-2002-200000-22000000000000−2i2i00−2i2i000000
χ352-222-2-2-22-22-22200-22-200-22000002-20000000000002i−2i00−2i2i000000
χ362-222-2-2-22-22-22200-22-200-22000002-2000000000000−2i2i002i−2i000000
χ3744-44-44-4-4000004i−4i000000000000000000002-22i−2i00000000000000
χ3844-44-44-4-4000004i−4i00000000000000000000-22−2i2i00000000000000
χ3944-44-44-4-400000−4i4i000000000000000000002-2−2i2i00000000000000
χ4044-44-44-4-400000−4i4i00000000000000000000-222i−2i00000000000000
χ4144-4-4-4-44444-4-400000000000000000000000000000000000002i2−2i200
χ4244-4-4-4-44444-4-40000000000000000000000000000000000000−2i22i200
χ4344-4-4-4-444-4-44400000000000000000000000000000000000000022−22
χ4444-4-4-4-444-4-444000000000000000000000000000000000000000−2222
χ454-444-4-4-444-44-4-400-44400000000000000000000000000000000000
χ464-444-4-4-44-44-44-4004-4400000000000000000000000000000000000
χ474-4-4-444-444-4-4400000000000004-400000000000000000000000000
χ484-4-4-444-444-4-440000000000000-4400000000000000000000000000
χ494-4-4-444-44-444-40000004-4000000000000000000000000000000000
χ504-4-4-444-44-444-4000000-44000000000000000000000000000000000
χ51888-88-8-8-8000000000000000000000000000000000000000000000
χ528-88-8-888-8000000000000000000000000000000000000000000000
χ538-8-888-88-8000000000000000000000000000000000000000000000

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