Finite Group Databasebeta

← Group #246294

Character table — Group #246294

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222222444424444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-1-11-1-1-111-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-1-1-1111111-1-1-1-1-11-1-1-11-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-1-1-111-1-1-111-11-1111-111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-1-1-111-1-1-111-11-11-1-1-1-1-11111-1-1-1-11111
χ9111111111111-1-11111-111-1-111-1-111-1-1111-1-111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-111-1-111-1-111-1-1111-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-1-1-1-1-1-1-1-11-11-111111-1-111-1-1-1-111-1-111
χ12111111111111-1-11111-111-1-1-1-1-1-1-1-1-11-11-111-1-1111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-11111-1-11111-1-1-1-1111-1-1-1-1-111-1-11111-1-1
χ14111111111111-1-11111-1-1-11111-1-11111-1-1-1-11-1-1-11111-1-111-1-1-1-111
χ15111111111111-1-11111-1-1-111-1-1-1-1-1-11-11-111-1111-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-111-1-1-1-1-1-11-11-111-1-1-111111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-22222200-2-200-200-200000000000000000000
χ1822222222222222-2-2-2-22-2-2-2-200-2-200200200000000000000000000
χ19222222222222-2-2-2-2-2-2-222-2-2002200200-200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-222002200-200200000000000000000000
χ2122222222-2-2-2-2222-2-22-20000222-2-2-2000002000-200000000000000
χ2222222222-2-2-2-2222-2-22-20000-2-22-22200000-2000200000000000000
χ2322222222-2-2-2-222-222-2-2000000-220002-2020-200000000000000000
χ2422222222-2-2-2-222-222-2-2000000-22000-220-20200000000000000000
χ2522222222-2-2-2-2-2-22-2-222000022-22-2-200000-2000200000000000000
χ2622222222-2-2-2-2-2-22-2-2220000-2-2-2222000002000-200000000000000
χ2722222222-2-2-2-2-2-2-222-220000002-2000220-20-200000000000000000
χ2822222222-2-2-2-2-2-2-222-220000002-2000-2-2020200000000000000000
χ292-2-2-2-22222-22-200-22-22000002-2002-200000000002-200000000002-2
χ302-2-2-2-22222-22-200-22-22000002-2002-20000000000-220000000000-22
χ312-2-2-2-22222-22-200-22-2200000-2200-2200000000002-20000000000-22
χ322-2-2-2-22222-22-200-22-2200000-2200-220000000000-2200000000002-2
χ332-2-2-2-2222-22-2200-2-222000002-200-2200000002-2000000000002-200
χ342-2-2-2-2222-22-2200-2-222000002-200-220000000-2200000000000-2200
χ352-2-2-2-2222-22-2200-2-22200000-22002-200000002-200000000000-2200
χ362-2-2-2-2222-22-2200-2-22200000-22002-20000000-22000000000002-200
χ37444-4-44-4-444-4-40000000000000000000000000000000000022−220000
χ38444-4-44-4-444-4-400000000000000000000000000000000000−22220000
χ39444-4-44-4-4-4-4440000000000000000000000000000000002i2−2i2000000
χ40444-4-44-4-4-4-444000000000000000000000000000000000−2i22i2000000
χ414-44-44-44-400004-40000000000000000000000000002i−2i2i−2i00000000
χ424-44-44-44-400004-4000000000000000000000000000−2i2i−2i2i00000000
χ434-44-44-44-40000-440000000000000000000000000002i−2i−2i2i00000000
χ444-44-44-44-40000-44000000000000000000000000000−2i2i2i−2i00000000
χ454-4-4444-4-44-4-4400000004i−4i00000000000000000000000000000000
χ464-4-4444-4-44-4-440000000−4i4i00000000000000000000000000000000
χ474-4-4444-4-4-444-40000000004i−4i000000000000000000000000000000
χ484-4-4444-4-4-444-4000000000−4i4i000000000000000000000000000000
χ494-4-4-4-44444-44-4004-44-400000000000000000000000000000000000
χ504-4-4-4-4444-44-440044-4-400000000000000000000000000000000000
χ5188-88-8-88-8000000000000000000000000000000000000000000000
χ5288-8-88-8-88000000000000000000000000000000000000000000000
χ538-888-8-8-88000000000000000000000000000000000000000000000

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