Finite Group Databasebeta

← Group #273158

Character table — Group #273158

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222224444442244444448888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11-1-11-111-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-1-11-1-11111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111111111
χ9111111111111-1-1-1-11-1-11111111-111-1-11111-1-1-1-1-111-1-1-1111-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-11111111-111-1-1-1-1-1-11111-111-1-1-1-1-11-111-1-111-1-111
χ11111111111111-1-1-1-11-1-11111111-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-111
χ12111111111111-1-1-1-11-1-11111111-1-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1
χ13111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-11111-1-1-1-111-11-11-1-1-1111-1-11111-1-1
χ14111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-11-1111-11-1-111-1-1-1-111
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-11-1111-1111-1-1-1-1-111-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-111111-1111-1-1-11-11111-1-111-1-1
χ172222222222222222-2-2-2-2-2-20000-22222000000000-200-2000000000000000
χ182222222222222222-2-2-2-2-2-20000-2-2-2-2-20000000002002000000000000000
χ19222222222222-2-2-2-2-222-2-2-20000222-2-2000000000-2002000000000000000
χ20222222222222-2-2-2-2-222-2-2-200002-2-222000000000200-2000000000000000
χ2122222222-2-2-2-222-2-2222-2-220000-200000000000000200-200-220000000000
χ2222222222-2-2-2-222-2-2222-2-220000-200000000000000-2002002-20000000000
χ2322222222-2-2-2-222-2-2-2-2-222-222-2-22000000000000-20020000000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2-2-2222000000000000200-20000000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-220000200000000000000200200-2-20000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-220000200000000000000-200-200220000000000
χ2722222222-2-2-2-2-2-222-22222-222-2-2-2000000000000200-20000000000000000
χ2822222222-2-2-2-2-2-222-22222-2-2-222-2000000000000-20020000000000000000
χ29222-22-2-2-22-2-222-22-2000000000002i−2i2i−2i22−2−222−2−20000000000000000i2−i2i2−i2
χ30222-22-2-2-22-2-222-22-2000000000002i−2i2i−2i−2−222−2−2220000000000000000−i2i2−i2i2
χ31222-22-2-2-22-2-222-22-200000000000−2i2i−2i2i22−2−222−2−20000000000000000−i2i2−i2i2
χ32222-22-2-2-22-2-222-22-200000000000−2i2i−2i2i−2−222−2−2220000000000000000i2−i2i2−i2
χ33222-22-2-2-22-2-22-22-22000000000002i−2i−2i2i22−2−2−2−2220000000000000000i2−i2−i2i2
χ34222-22-2-2-22-2-22-22-22000000000002i−2i−2i2i−2−22222−2−20000000000000000−i2i2i2−i2
χ35222-22-2-2-22-2-22-22-2200000000000−2i2i2i−2i22−2−2−2−2220000000000000000−i2i2i2−i2
χ36222-22-2-2-22-2-22-22-2200000000000−2i2i2i−2i−2−22222−2−20000000000000000i2−i2−i2i2
χ372-2-2-2222-222-2-200002002-2-22-22-2000002i−2i2i−2i00000000000000002i−2i000000
χ382-2-2-2222-222-2-200002002-2-22-22-200000−2i2i−2i2i0000000000000000−2i2i000000
χ392-2-2-2222-222-2-200002002-2-2-22-22000002i−2i2i−2i0000000000000000−2i2i000000
χ402-2-2-2222-222-2-200002002-2-2-22-2200000−2i2i−2i2i00000000000000002i−2i000000
χ412-2-2-2222-2-2-2220000-2002-222-2-220000000002-22-2000000000000002-20000
χ422-2-2-2222-2-2-2220000-2002-222-2-22000000000-22-2200000000000000-220000
χ432-2-2-2222-2-2-2220000-2002-22-222-20000000002-22-200000000000000-220000
χ442-2-2-2222-2-2-2220000-2002-22-222-2000000000-22-22000000000000002-20000
χ45444-44-4-4-4-444-44-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-444-4-444-40000000000000000000000000000000000000000000
χ474-444-4-44-40000000004-4000000000000000000000000002i−2i002i−2i00000000
χ484-444-4-44-40000000004-400000000000000000000000000−2i2i00−2i2i00000000
χ494-444-4-44-4000000000-44000000000000000000000000002i−2i00−2i2i00000000
χ504-444-4-44-4000000000-4400000000000000000000000000−2i2i002i−2i00000000
χ514-4-444-4-444-44-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-4-444-4-444-44-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-4-444-4-44-44-440000000000000000000000022−22−222200000000000000000000
χ544-4-444-4-44-44-4400000000000000000000000−222222−2200000000000000000000
χ554-4-4-4444-444-4-40000-400-4440000000000000000000000000000000000000
χ564-4-4-4444-4-4-4440000400-44-40000000000000000000000000000000000000
χ5788-88-88-8-8000000000000000000000000000000000000000000000000000
χ5888-8-8-8-888000000000000000000000000000000000000000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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