Finite Group Databasebeta

← Group #273090

Character table — Group #273090

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222224444442244444448888888822224444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111-1-11-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-111-1-11-1-111-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1111111111-1-111-11-111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111111
χ9111111111111-1-1-1-11-1-1111111111-1-1-11111-1-1-1-1-1111-1-1-11-1-1-1111-1-111-1-1
χ10111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-11111-11-1-1-1-1-11-1111-1-111-1-111
χ11111111111111-1-1-1-11-1-11111111-1-111-11111-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-111
χ12111111111111-1-1-1-11-1-11111111-1-111-1-1-1-1-11111-1-11111-1-11-1-1-1-1-11111-1-1
χ13111111111111-1-1-1-11-1-1111-1-1-1-111-1-1-11111-1-1-1-111-1-1-111-1111-1-1-11111-1-1
χ14111111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-111111111-111-11-1-1-111-1-1-1-111
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-1-111-11111-1-1-1-11-1111-111-1-1-11-1-111-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-111-1-1-1-1-111111-1-1-11-111-111111-1-111-1-1
χ172222222222222222-2-2-2-2-2-200002222-2000000000-200-2000000000000000
χ182222222222222222-2-2-2-2-2-20000-2-2-2-2-20000000002002000000000000000
χ19222222222222-2-2-2-2-222-2-2-2000022-2-22000000000-2002000000000000000
χ20222222222222-2-2-2-2-222-2-2-20000-2-2222000000000200-2000000000000000
χ2122222222-2-2-2-222-2-2222-2-2200000000-20000000000000202-200-200000000
χ2222222222-2-2-2-222-2-2222-2-2200000000-20000000000000-20-2200200000000
χ2322222222-2-2-2-222-2-2-2-2-222-222-2-20000200000000-20000020000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2-2-2220000200000000200000-20000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-22000000002000000000000020-2-200200000000
χ2622222222-2-2-2-2-2-2222-2-2-2-220000000020000000000000-202200-200000000
χ2722222222-2-2-2-2-2-222-22222-222-2-20000-200000000200000-20000000000000
χ2822222222-2-2-2-2-2-222-22222-2-2-2220000-200000000-20000020000000000000
χ2922-222-2-2-222-2-22-22-200000000002i−2i2i−2i0i2i2−i2−i2i2i2−i2−i200000000000000002−22−2
χ3022-222-2-2-222-2-22-22-200000000002i−2i2i−2i0−i2−i2i2i2−i2−i2i2i20000000000000000−22−22
χ3122-222-2-2-222-2-22-22-20000000000−2i2i−2i2i0i2i2−i2−i2i2i2−i2−i20000000000000000−22−22
χ3222-222-2-2-222-2-22-22-20000000000−2i2i−2i2i0−i2−i2i2i2−i2−i2i2i200000000000000002−22−2
χ3322-222-2-2-222-2-2-22-2200000000002i−2i−2i2i0i2i2−i2−i2−i2−i2i2i200000000000000002−2−22
χ3422-222-2-2-222-2-2-22-2200000000002i−2i−2i2i0−i2−i2i2i2i2i2−i2−i20000000000000000−222−2
χ3522-222-2-2-222-2-2-22-220000000000−2i2i2i−2i0i2i2−i2−i2−i2−i2i2i20000000000000000−222−2
χ3622-222-2-2-222-2-2-22-220000000000−2i2i2i−2i0−i2−i2i2i2i2i2−i2−i200000000000000002−2−22
χ372-2-22-22-222-22-200002002-2-22-22-20000000002i−2i2i−2i000000000000002i−2i0000
χ382-2-22-22-222-22-200002002-2-22-22-2000000000−2i2i−2i2i00000000000000−2i2i0000
χ392-2-22-22-222-22-200002002-2-2-22-220000000002i−2i2i−2i00000000000000−2i2i0000
χ402-2-22-22-222-22-200002002-2-2-22-22000000000−2i2i−2i2i000000000000002i−2i0000
χ412-2-22-22-22-22-220000-2002-222-2-22000002-22-200000000000000002-2000000
χ422-2-22-22-22-22-220000-2002-222-2-2200000-22-220000000000000000-22000000
χ432-2-22-22-22-22-220000-2002-22-222-2000002-22-20000000000000000-22000000
χ442-2-22-22-22-22-220000-2002-22-222-200000-22-2200000000000000002-2000000
χ4544-444-4-4-4-4-4444-4-440000000000000000000000000000000000000000000
χ4644-444-4-4-4-4-444-444-40000000000000000000000000000000000000000000
χ474-444-4-44-44-4-440000000000000000000000022−22−222200000000000000000000
χ484-444-4-44-44-4-4400000000000000000000000−222222−2200000000000000000000
χ494-444-4-44-4-444-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-444-4-44-4-444-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-4-44-44-444-44-40000-400-4440000000000000000000000000000000000000
χ524-4-44-44-44-44-440000400-44-40000000000000000000000000000000000000
χ534-4-4-44-4440000000004-400000000000000000000002-2000002-2000000000
χ544-4-4-44-4440000000004-40000000000000000000000-2200000-22000000000
χ554-4-4-44-444000000000-4400000000000000000000002-200000-22000000000
χ564-4-4-44-444000000000-440000000000000000000000-22000002-2000000000
χ57888-8-8-8-88000000000000000000000000000000000000000000000000000
χ5888-8-8-888-8000000000000000000000000000000000000000000000000000
χ598-88-888-8-8000000000000000000000000000000000000000000000000000

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