Finite Group Databasebeta

← Group #258234

Character table — Group #258234

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-11111-11-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-11-1-11111-11-1-11-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-11111111-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-11-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ91111111111111-1-11111111-1-1-1-1-1111-11-1-1-11-111-1-111-1-111-1-111-1-1
χ101111111111111-1-11111111-1-1-1-1-1111-11-1-1-11-1-1-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-111-1-111-1-1-11-11-1111-1-1-1-11111-1-1-1-111
χ121111111111111-1-111111-1-1-111-1-111-1-1-11-11-11-1-11111-1-1-1-11111-1-1
χ131111111111111-1-1111-1-111-1-1-1-1-1-1-111-111-1-1111-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-111-1-1-1-1-1-1-111-111-1-11-1-111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-111-1-1-1-1-111-1111-111-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-1-111-1-1-1-1-111-1111-1-1-11111-1-111-1-1-1-111
χ17222222222222-222-2-2-20022222-2-200-20000-2000000000000000000
χ18222222222222-222-2-2-200-2-22-2-2-2-200200002000000000000000000
χ19222222222222-2-2-2-2-2-20022-2-2-22200-200002000000000000000000
χ20222222222222-2-2-2-2-2-200-2-2-222220020000-2000000000000000000
χ2122222222-2-2-2-2222-2-220000-2002-200002-200-220000000000000000
χ2222222222-2-2-2-2222-2-220000-2002-20000-22002-20000000000000000
χ2322222222-2-2-2-22-2-2-2-220000200-2200002200-2-20000000000000000
χ2422222222-2-2-2-22-2-2-2-220000200-220000-2-200220000000000000000
χ2522222222-2-2-2-2-22222-22200-200-22-2-20200-20000000000000000000
χ2622222222-2-2-2-2-22222-2-2-200-200-22220-20020000000000000000000
χ2722222222-2-2-2-2-2-2-222-222002002-2-2-20-20020000000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-2002002-2220200-20000000000000000000
χ292-22-222-2-222-2-2-2002-222i−2i00000002i−2i00000000002i−2i0000002-20000
χ302-22-222-2-222-2-2-2002-222i−2i00000002i−2i0000000000−2i2i000000-220000
χ312-22-222-2-222-2-2-2002-22−2i2i0000000−2i2i00000000002i−2i000000-220000
χ322-22-222-2-222-2-2-2002-22−2i2i0000000−2i2i0000000000−2i2i0000002-20000
χ332-22-222-2-2-2-2222002-2-22i−2i0000000−2i2i000000002-20000002i−2i000000
χ342-22-222-2-2-2-2222002-2-22i−2i0000000−2i2i00000000-22000000−2i2i000000
χ352-22-222-2-2-2-2222002-2-2−2i2i00000002i−2i000000002-2000000−2i2i000000
χ362-22-222-2-2-2-2222002-2-2−2i2i00000002i−2i00000000-220000002i−2i000000
χ3744-4-44-4-444-44-40000000000000000000000000000000000000002i2−2i2
χ3844-4-44-4-444-44-4000000000000000000000000000000000000000−2i22i2
χ3944-4-44-4-44-44-4400000000000000000000000000000000000002i2−2i200
χ4044-4-44-4-44-44-440000000000000000000000000000000000000−2i22i200
χ414-444-4-4-44000004i−4i000000000000000000000000002i−2i2-200000000
χ424-444-4-4-44000004i−4i00000000000000000000000000−2i2i-2200000000
χ434-444-4-4-4400000−4i4i000000000000000000000000002i−2i-2200000000
χ444-444-4-4-4400000−4i4i00000000000000000000000000−2i2i2-200000000
χ454-44-444-4-444-4-4400-44-400000000000000000000000000000000000
χ464-44-444-4-4-4-444-400-44400000000000000000000000000000000000
χ474-4-444-44-44-4-44000000004i−4i0000000000000000000000000000000
χ484-4-444-44-44-4-4400000000−4i4i0000000000000000000000000000000
χ494-4-444-44-4-444-4000000000004i−4i0000000000000000000000000000
χ504-4-444-44-4-444-400000000000−4i4i0000000000000000000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ5288-88-88-8-8000000000000000000000000000000000000000000000
χ538-8-8-8-8888000000000000000000000000000000000000000000000

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