Finite Group Databasebeta

← Group #257202

Character table — Group #257202

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222222444424444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11111-1-111-1-1-1-11-1111-111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-11111-1-111-1-1-1-11-1-1-11-1-1-111111111-1-1-1-1
χ71111111111111111111-1-111-1-1-1-1-1-111-1-1-1111-1111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-111-1-1-1-1-1-111-1-1-11-1-1-11-1-11111-1-1-1-11111
χ9111111111111-1-11111-111-1-111-1-111-1-11-1-1111-11-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-111-1-111-1-111-1-11-1-11-1-1-1111-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-1-1-1-1-1-1-1111-11-1111-1-1-111-1-1-1-111-1-111
χ12111111111111-1-11111-111-1-1-1-1-1-1-1-1111-11-1-1-11-111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-1-1-111111111-11-1-111-1-1-1-1-1-111-1-11111-1-1
χ14111111111111-1-11111-1-1-1-1-111111111-11-1-1-1-1-1-11111-1-111-1-1-1-111
χ15111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-11111111-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1111111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2222-2-200220000-2-200000000000000000000
χ1822222222222222-2-2-2-22-2-2-2-200-2-200002200000000000000000000
χ19222222222222-2-2-2-2-2-2-2222200-2-20000-2200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-222002200002-200000000000000000000
χ2122222222-2-2-2-2222-2-22-2002-22200-2-200002000-2000000000000000
χ2222222222-2-2-2-2222-2-22-2002-2-2-200220000-20002000000000000000
χ2322222222-2-2-2-222-222-2-200-220000002-20002000-200000000000000
χ2422222222-2-2-2-222-222-2-200-22000000-22000-2000200000000000000
χ2522222222-2-2-2-2-2-22-2-22200-222200-2-20000-20002000000000000000
χ2622222222-2-2-2-2-2-22-2-22200-22-2-2002200002000-2000000000000000
χ2722222222-2-2-2-2-2-2-222-22002-20000002-2000-2000200000000000000
χ2822222222-2-2-2-2-2-2-222-22002-2000000-220002000-200000000000000
χ2922-222-2-2-22-22-200-22-22000002i−2i002i−2i00000000002i−2i00000000002-2
χ3022-222-2-2-22-22-200-22-22000002i−2i002i−2i0000000000−2i2i0000000000-22
χ3122-222-2-2-22-22-200-22-2200000−2i2i00−2i2i00000000002i−2i0000000000-22
χ3222-222-2-2-22-22-200-22-2200000−2i2i00−2i2i0000000000−2i2i00000000002-2
χ3322-222-2-2-2-22-2200-2-222000002i−2i00−2i2i0000002i−2i0000000000002-200
χ3422-222-2-2-2-22-2200-2-222000002i−2i00−2i2i000000−2i2i000000000000-2200
χ3522-222-2-2-2-22-2200-2-22200000−2i2i002i−2i0000002i−2i000000000000-2200
χ3622-222-2-2-2-22-2200-2-22200000−2i2i002i−2i000000−2i2i0000000000002-200
χ37444-4-44-4-400004-40000000000000000000000000002-22-200000000
χ38444-4-44-4-400004-4000000000000000000000000000-22-2200000000
χ39444-4-44-4-40000-440000000000000000000000000002-2-2200000000
χ40444-4-44-4-40000-44000000000000000000000000000-222-200000000
χ4144-444-4-4-44-44-4004-44-400000000000000000000000000000000000
χ4244-444-4-4-4-44-440044-4-400000000000000000000000000000000000
χ434-444-4-44-444-4-40000000000000000000000000000000000022−220000
χ444-444-4-44-444-4-400000000000000000000000000000000000−22220000
χ454-444-4-44-4-4-4440000000000000000000000000000000002i2−2i2000000
χ464-444-4-44-4-4-444000000000000000000000000000000000−2i22i2000000
χ474-4-44-44-444-4-4400000004-400000000000000000000000000000000
χ484-4-44-44-444-4-440000000-4400000000000000000000000000000000
χ494-4-44-44-44-444-400000000000004-400000000000000000000000000
χ504-4-44-44-44-444-40000000000000-4400000000000000000000000000
χ5188-8-8-8-888000000000000000000000000000000000000000000000
χ528-88-88-8-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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