Finite Group Databasebeta

← Group #295413

Character table — Group #295413

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-1111-1-11-1-1-111-111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-1111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-1-1-1-111-111-111-111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-11111
χ91111111111111-1-1111-1-111-111-1-111-1-11-11-1-1111-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-111-111-1-111-1-11-11-1-1-1-1111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-1-1-1-1-111-11-11-1111-1-111-1-1-1-111-1-111
χ121111111111111-1-1111-1-111-1-1-1-1-1-1-111-11-11-1-1-1111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-1-1111111-11-1-1-11111-1-1-1-1-111-1-11111-1-1
χ141111111111111-1-1111-1-1-1-1-1111111-11-1-1-111-1-1-11111-1-111-1-1-1-111
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-11-1111-1111-1-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-11-1111-11-1-1-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2222002200000000-200-200000000000000
χ18222222222222-222-2-2-2-2-2-2-2200-2-200000000200200000000000000
χ19222222222222-2-2-2-2-2-22222-200-2-200000000200-200000000000000
χ20222222222222-2-2-2-2-2-222-2-2-2002200000000-200200000000000000
χ2122222222-2-2-2-2222-2-222-200-22200-2-2200-200000000000000000000
χ2222222222-2-2-2-2222-2-222-200-2-2-20022-200200000000000000000000
χ2322222222-2-2-2-22-2-2-2-22-220022200-2-2-200200000000000000000000
χ2422222222-2-2-2-22-2-2-2-22-22002-2-20022200-200000000000000000000
χ2522222222-2-2-2-2-22222-2-2200-20000000220-2-2000000000000000000
χ2622222222-2-2-2-2-22222-2-2200-20000000-2-2022000000000000000000
χ2722222222-2-2-2-2-2-2-222-22-200200000002-202-2000000000000000000
χ2822222222-2-2-2-2-2-2-222-22-20020000000-220-22000000000000000000
χ292-2222-2-2-22-22-2-2002-22000002i−2i002i−2i000000000000002-2002i−2i0000
χ302-2222-2-2-22-22-2-2002-22000002i−2i002i−2i00000000000000-2200−2i2i0000
χ312-2222-2-2-22-22-2-2002-2200000−2i2i00−2i2i000000000000002-200−2i2i0000
χ322-2222-2-2-22-22-2-2002-2200000−2i2i00−2i2i00000000000000-22002i−2i0000
χ332-2222-2-2-2-22-22-200-222000002i−2i00−2i2i0000000000002-2002i−2i000000
χ342-2222-2-2-2-22-22-200-222000002i−2i00−2i2i000000000000-2200−2i2i000000
χ352-2222-2-2-2-22-22-200-22200000−2i2i002i−2i0000000000002-200−2i2i000000
χ362-2222-2-2-2-22-22-200-22200000−2i2i002i−2i000000000000-22002i−2i000000
χ3744-44-44-4-444-4-4000000004-40000000000000000000000000000000
χ3844-44-44-4-444-4-400000000-440000000000000000000000000000000
χ3944-44-44-4-4-4-44400000000000004i−4i00000000000000000000000000
χ4044-44-44-4-4-4-4440000000000000−4i4i00000000000000000000000000
χ4144-4-44-4-44000004i−4i0000000000000000000002i−2i02-2000000000000
χ4244-4-44-4-44000004i−4i000000000000000000000−2i2i0-22000000000000
χ4344-4-44-4-4400000−4i4i0000000000000000000002i−2i0-22000000000000
χ4444-4-44-4-4400000−4i4i000000000000000000000−2i2i02-2000000000000
χ454-4444-4-4-44-44-4400-44-400000000000000000000000000000000000
χ464-4444-4-4-4-44-444004-4-400000000000000000000000000000000000
χ474-4-44-4-4444-4-4400000000000000000000000000000000000000022−22
χ484-4-44-4-4444-4-44000000000000000000000000000000000000000−2222
χ494-4-44-4-444-444-4000000000000000000000000000000000000022−2200
χ504-4-44-4-444-444-40000000000000000000000000000000000000−222200
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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