Finite Group Databasebeta

← Group #257182

Character table — Group #257182

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222222444424444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111
χ411111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-11-1-111111111-1-1-1-1
χ51111111111111111111-1-11111-1-111-1-1-11-11-111-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-111-1-1-1-1-1-111-1-11-1111-111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-111-1-1-1-1-1-111-1-11-11-1-1-1-1-11111-1-1-1-11111
χ9111111111111-1-11111-111-1-11111-1-1-11-11-1-1111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-111-1-11111-1-1-11-11-1-11-1-1-111-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-1-1-111111-1-1-111-111-1-1-1-1-111-1-11111-1-1
χ12111111111111-1-11111-111-1-1-1-111111-1-1-111-1-1-1-11111-1-111-1-1-1-111
χ13111111111111-1-11111-1-1-1-1-111-1-1-1-11-1111-1-1111-1-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-111-1-1-1-11-1111-1-1-1-1111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-111-111-1-111111-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-111111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2200-2-2220022000-20-2000000000000000000
χ1822222222222222-2-2-2-2200-2-2-2-200-2-2000202000000000000000000
χ19222222222222-2-2-2-2-2-2-200222200-2-2000-202000000000000000000
χ20222222222222-2-2-2-2-2-2-20022-2-2002200020-2000000000000000000
χ2122222222-2-2-2-2222-2-22-2222-200-2-200002000000-200000000000000
χ2222222222-2-2-2-2222-2-22-2-2-22-200220000-2000000200000000000000
χ2322222222-2-2-2-222-222-2-200-220000002200-20-200000000000000000
χ2422222222-2-2-2-222-222-2-200-22000000-2-20020200000000000000000
χ2522222222-2-2-2-2-2-22-2-22222-2200-2-20000-2000000200000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-2-22002200002000000-200000000000000
χ2722222222-2-2-2-2-2-2-222-22002-20000002-200-20200000000000000000
χ2822222222-2-2-2-2-2-2-222-22002-2000000-220020-200000000000000000
χ2922-22-22-2-22-22-200-22-2202i−2i00002i−2i0000000000002i−2i00000000002-2
χ3022-22-22-2-22-22-200-22-2202i−2i00002i−2i000000000000−2i2i0000000000-22
χ3122-22-22-2-22-22-200-22-220−2i2i0000−2i2i0000000000002i−2i0000000000-22
χ3222-22-22-2-22-22-200-22-220−2i2i0000−2i2i000000000000−2i2i00000000002-2
χ3322-22-22-2-2-22-2200-2-22202i−2i0000−2i2i0000000002i−2i000000000002-200
χ3422-22-22-2-2-22-2200-2-22202i−2i0000−2i2i000000000−2i2i00000000000-2200
χ3522-22-22-2-2-22-2200-2-2220−2i2i00002i−2i0000000002i−2i00000000000-2200
χ3622-22-22-2-2-22-2200-2-2220−2i2i00002i−2i000000000−2i2i000000000002-200
χ37444-44-4-4-400004-40000000000000000000000000002-22-200000000
χ38444-44-4-4-400004-4000000000000000000000000000-22-2200000000
χ39444-44-4-4-40000-440000000000000000000000000002-2-2200000000
χ40444-44-4-4-40000-44000000000000000000000000000-222-200000000
χ4144-44-44-4-44-44-4004-44-400000000000000000000000000000000000
χ4244-44-44-4-4-44-440044-4-400000000000000000000000000000000000
χ434-444-4-44-44-4-44000000000004i−4i0000000000000000000000000000
χ444-444-4-44-44-4-4400000000000−4i4i0000000000000000000000000000
χ454-444-4-44-4-444-40000000000000004i−4i000000000000000000000000
χ464-444-4-44-4-444-4000000000000000−4i4i000000000000000000000000
χ474-4-444-4-4444-4-4000000000000000000000000000000000002i2−2i20000
χ484-4-444-4-4444-4-400000000000000000000000000000000000−2i22i20000
χ494-4-444-4-44-4-44400000000000000000000000000000000022−22000000
χ504-4-444-4-44-4-444000000000000000000000000000000000−2222000000
χ5188-8-8-8-888000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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