Finite Group Databasebeta

← Group #291929

Character table — Group #291929

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-111-1-1-1-111-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-111111-1-111-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1111-1-1-1-1-1-11-1-1-1-111-1-11-1-111111111-1-1-1-1
χ91111111111111-1-111111-1-1-11111-1-1-1-1-11-11-1111-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-1-11111-1-1-1-1-11-11-1-1-1111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-111111-1-1-11-1111-1-1-1-1-11111-1-1-1-111
χ121111111111111-1-111111-1-1-1-1-111111-1-1-11-11-1-1-11111-1-1-1-11111-1-1
χ131111111111111-1-1111-1-1-1-1-111-1-1-1-11111-1-1111-1-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-111-1-1-1-11111-1-11-1-1-111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-111-111-111-1111-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-111-111-111-1-1-111111-1-111-1-1-1-111
χ17222222222222-222-2-2-2002-2-2220022000-2-20000000000000000000
χ18222222222222-222-2-2-2002-2-2-2-200-2-2000220000000000000000000
χ19222222222222-2-2-2-2-2-200-2222200-2-2000-220000000000000000000
χ20222222222222-2-2-2-2-2-200-222-2-200220002-20000000000000000000
χ2122222222-2-2-2-2222-2-2200-22-2000000200002-200-200000000000000
χ2222222222-2-2-2-2222-2-2200-22-2000000-20000-2200200000000000000
χ2322222222-2-2-2-22-2-2-2-22002-2200000020000-2-200200000000000000
χ2422222222-2-2-2-22-2-2-2-22002-22000000-200002200-200000000000000
χ2522222222-2-2-2-2-22222-222-2-2200-2-20002-2000000000000000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-220022000-22000000000000000000000
χ2722222222-2-2-2-2-2-2-222-22222-200-2-2000-22000000000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-222-200220002-2000000000000000000000
χ292-22-2-222-222-2-2-2002-222i−2i000002i−2i00000000000000002i−2i0000002-2
χ302-22-2-222-222-2-2-2002-222i−2i000002i−2i0000000000000000−2i2i000000-22
χ312-22-2-222-222-2-2-2002-22−2i2i00000−2i2i00000000000000002i−2i000000-22
χ322-22-2-222-222-2-2-2002-22−2i2i00000−2i2i0000000000000000−2i2i0000002-2
χ332-22-2-222-2-2-2222002-2-22i−2i00000−2i2i000000000000002-20000002i−2i00
χ342-22-2-222-2-2-2222002-2-22i−2i00000−2i2i00000000000000-22000000−2i2i00
χ352-22-2-222-2-2-2222002-2-2−2i2i000002i−2i000000000000002-2000000−2i2i00
χ362-22-2-222-2-2-2222002-2-2−2i2i000002i−2i00000000000000-220000002i−2i00
χ37444-4-4-4-44000004i−4i0000000000000000000002i−2i02-2000000000000
χ38444-4-4-4-44000004i−4i000000000000000000000−2i2i0-22000000000000
χ39444-4-4-4-4400000−4i4i0000000000000000000002i−2i0-22000000000000
χ40444-4-4-4-4400000−4i4i000000000000000000000−2i2i02-2000000000000
χ4144-44-44-4-44-44-4000000000004-40000000000000000000000000000
χ4244-44-44-4-44-44-400000000000-440000000000000000000000000000
χ4344-44-44-4-4-44-440000000000000004i−4i000000000000000000000000
χ4444-44-44-4-4-44-44000000000000000−4i4i000000000000000000000000
χ454-44-4-444-444-4-4400-44-400000000000000000000000000000000000
χ464-44-4-444-4-4-444-400-44400000000000000000000000000000000000
χ474-4-4-444-444-4-440000000000000000000000000000000000022−220000
χ484-4-4-444-444-4-4400000000000000000000000000000000000−22220000
χ494-4-4-444-44-444-40000000000000000000000000000000002i2−2i2000000
χ504-4-4-444-44-444-4000000000000000000000000000000000−2i22i2000000
χ5188-8-88-88-8000000000000000000000000000000000000000000000
χ528-8888-8-8-8000000000000000000000000000000000000000000000
χ538-8-88-8-888000000000000000000000000000000000000000000000

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