Finite Group Databasebeta

← Group #290786

Character table — Group #290786

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-1-1-111-1-11-1111-11-11-1-1-111-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-111-1-11-1-1-11-11-11-111-1-111-1-1-1-11111
χ71111111111111111-1-1-1-11111-1-1-1-111-1-1-1111-11-11-11-1-111-1-1-1-1-1-11111
χ81111111111111111-1-1-1-11111-1-1-1-111-1-1-11-1-1-11-11-1111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-11111111111-1-1-1-1-1-11-111-111-1-1111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-111-1-11-1-11111-1-111-1-111
χ11111111111111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-111-1-111
χ12111111111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-11-1-111-1-1-1111111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-222000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000
χ2122222222-2-2-2-2000022-2-22-22-22-20000000200200-2-2000000000000000
χ2222222222-2-2-2-2000022-2-22-22-22-20000000-200-20022000000000000000
χ2322222222-2-2-2-2000022-2-2-22-22-22000000200002-200-200000000000000
χ2422222222-2-2-2-2000022-2-2-22-22-22000000-20000-2200200000000000000
χ2522222222-2-2-2-20000-2-2222-22-2-220000000200-200-22000000000000000
χ2622222222-2-2-2-20000-2-2222-22-2-220000000-2002002-2000000000000000
χ2722222222-2-2-2-20000-2-222-22-222-200000020000-2-200200000000000000
χ2822222222-2-2-2-20000-2-222-22-222-2000000-200002200-200000000000000
χ2922-2-2-22-222-22-22i2i−2i−2i00002-2-2200002i−2i0000000000000000002-22i−2i0000
χ3022-2-2-22-222-22-22i2i−2i−2i00002-2-2200002i−2i000000000000000000-22−2i2i0000
χ3122-2-2-22-222-22-22i2i−2i−2i0000-222-20000−2i2i00000000000000000000002i−2i2-2
χ3222-2-2-22-222-22-22i2i−2i−2i0000-222-20000−2i2i0000000000000000000000−2i2i-22
χ3322-2-2-22-222-22-2−2i−2i2i2i00002-2-220000−2i2i0000000000000000002-2−2i2i0000
χ3422-2-2-22-222-22-2−2i−2i2i2i00002-2-220000−2i2i000000000000000000-222i−2i0000
χ3522-2-2-22-222-22-2−2i−2i2i2i0000-222-200002i−2i00000000000000000000002i−2i-22
χ3622-2-2-22-222-22-2−2i−2i2i2i0000-222-200002i−2i0000000000000000000000−2i2i2-2
χ374444-4-4-4-44-4-44000000000000004-40000000000000000000000000000
χ384444-4-4-4-44-4-4400000000000000-440000000000000000000000000000
χ394444-4-4-4-4-444-44-44-40000000000000000000000000000000000000000
χ404444-4-4-4-4-444-4-44-440000000000000000000000000000000000000000
χ4144-4-44-44-444-4-40000000000000000004-4000000000000000000000000
χ4244-4-44-44-444-4-4000000000000000000-44000000000000000000000000
χ4344-4-44-44-4-4-4444i−4i−4i4i0000000000000000000000000000000000000000
χ4444-4-44-44-4-4-444−4i4i4i−4i0000000000000000000000000000000000000000
χ4544-4-4-44-44-44-440000000044-4-400000000000000000000000000000000
χ4644-4-4-44-44-44-4400000000-4-44400000000000000000000000000000000
χ474-44-44-4-44000000004i−4i00000000000000002i−2i0000002-2000000000000
χ484-44-44-4-44000000004i−4i0000000000000000−2i2i000000-22000000000000
χ494-44-44-4-4400000000−4i4i00000000000000002i−2i000000-22000000000000
χ504-44-44-4-4400000000−4i4i0000000000000000−2i2i0000002-2000000000000
χ514-44-4-444-400000000004-40000000000000000000000002i−2i2i−2i00000000
χ524-44-4-444-400000000004-4000000000000000000000000−2i2i−2i2i00000000
χ534-44-4-444-40000000000-440000000000000000000000002i−2i−2i2i00000000
χ544-44-4-444-40000000000-44000000000000000000000000−2i2i2i−2i00000000
χ558-8-8888-8-8000000000000000000000000000000000000000000000000
χ568-8-88-8-888000000000000000000000000000000000000000000000000

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