Finite Group Databasebeta

← Group #283157

Character table — Group #283157

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111
χ101111111111111111-1-1-1-1111111-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-111111-1-11111-1
χ17222222222-2-222-22-22222-2-20000-2-2000000220022-2-20000000000-2000000000000
χ18222222222-2-222-22-22222-2-20000-2-2000000-2-200-2-22200000000002000000000000
χ19222222222-2-222-22-2-2-2-2-2-2-20000220000002200-2-2220000000000-2000000000000
χ20222222222-2-222-22-2-2-2-2-2-2-2000022000000-2-20022-2-200000000002000000000000
χ2122222222-222-2-22-220000-2-222220022-2-2-2-200-2-2000000000000000002000000000
χ2222222222-222-2-22-220000-2-2222200-2-2222200-2-200000000000000000-2000000000
χ2322222222-222-2-22-220000-2-2-2-2-2-20022-2-222002200000000000000000-2000000000
χ2422222222-222-2-22-220000-2-2-2-2-2-200-2-222-2-20022000000000000000002000000000
χ25222-2-2-22-2-2002-20202i2i−2i−2i0022−2−2000000002-22−22i−2i00i2i2−i2−i2i2i2−i2−i20000000000002−20
χ26222-2-2-22-2-2002-20202i2i−2i−2i0022−2−200000000-222−2−2i2i00i2i2−i2−i2−i2−i2i2i2000000000000−220
χ27222-2-2-22-2-2002-20202i2i−2i−2i00−2−222000000002-2−222i−2i00−i2−i2i2i2−i2−i2i2i2000000000000−220
χ28222-2-2-22-2-2002-20202i2i−2i−2i00−2−22200000000-22−22−2i2i00−i2−i2i2i2i2i2−i2−i20000000000002−20
χ29222-2-2-22-2-2002-2020−2i−2i2i2i0022−2−2000000002-22−2−2i2i00−i2−i2i2i2−i2−i2i2i20000000000002−20
χ30222-2-2-22-2-2002-2020−2i−2i2i2i0022−2−200000000-222−22i−2i00−i2−i2i2i2i2i2−i2−i2000000000000−220
χ31222-2-2-22-2-2002-2020−2i−2i2i2i00−2−222000000002-2−22−2i2i00i2i2−i2−i2i2i2−i2−i2000000000000−220
χ32222-2-2-22-2-2002-2020−2i−2i2i2i00−2−22200000000-22−222i−2i00i2i2−i2−i2−i2−i2i2i20000000000002−20
χ332-22-2-22-22222-2-2-22-22-22-22-200002-22i−2i2i−2i0000000000000000000002i−2i0000000000
χ342-22-2-22-22222-2-2-22-22-22-22-200002-2−2i2i−2i2i000000000000000000000−2i2i0000000000
χ352-22-2-22-22222-2-2-22-2-22-222-20000-222i−2i2i−2i000000000000000000000−2i2i0000000000
χ362-22-2-22-22222-2-2-22-2-22-222-20000-22−2i2i−2i2i0000000000000000000002i−2i0000000000
χ372-22-2-22-222-2-2-2-22222-22-2-220000-2200000000000000000000000000002-22-200000
χ382-22-2-22-222-2-2-2-22222-22-2-220000-220000000000000000000000000000-22-2200000
χ392-22-2-22-222-2-2-2-2222-22-22-2200002-200000000000000000000000000002-2-2200000
χ402-22-2-22-222-2-2-2-2222-22-22-2200002-20000000000000000000000000000-222-200000
χ412-22-2-22-22-22222-2-2-20000-220000002i−2i−2i2i00000000002i−2i2i−2i00002-20000000000000
χ422-22-2-22-22-22222-2-2-20000-220000002i−2i−2i2i0000000000−2i2i−2i2i0000-220000000000000
χ432-22-2-22-22-22222-2-2-20000-22000000−2i2i2i−2i00000000002i−2i2i−2i0000-220000000000000
χ442-22-2-22-22-22222-2-2-20000-22000000−2i2i2i−2i0000000000−2i2i−2i2i00002-20000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-4400-440-400000002222−22−220000000000−2222000000000000000000000000000
χ47444-4-4-44-4400-440-40000000−22−222222000000000022−22000000000000000000000000000
χ4844-44-44-4-404-40040-400000000000000004-40000000000000000000000000000000
χ4944-44-44-4-404-40040-40000000000000000-440000000000000000000000000000000
χ5044-44-44-4-40-4400-404000000000000000000000000000000000000000000002i2−2i2000
χ5144-44-44-4-40-4400-40400000000000000000000000000000000000000000000−2i22i2000
χ524-4444-4-4-44004-40-400000000000000000000000000022−22−22220000000000000000000
χ534-4444-4-4-44004-40-4000000000000000000000000000−222222−220000000000000000000
χ544-4444-4-4-4-400-440404i−4i−4i4i000000000000000000000000000000000000000000000
χ554-4444-4-4-4-400-44040−4i4i4i−4i000000000000000000000000000000000000000000000
χ564-44-4-44-44-4-4-4444-4400004-40000000000000000000000000000000000000000000
χ574-4-44-4-4440000000000000022−2222−220000000000000022−2200002-22-2000000000000000
χ584-4-44-4-4440000000000000022−2222−2200000000000000−22220000-22-22000000000000000
χ594-4-44-4-44400000000000000−2222−22220000000000000022−220000-22-22000000000000000
χ604-4-44-4-44400000000000000−2222−222200000000000000−222200002-22-2000000000000000
χ614-4-4-4444-404-400-4040000004-4-44000000000000000000000000000000000000000
χ624-4-4-4444-404-400-404000000-444-4000000000000000000000000000000000000000
χ634-4-4-4444-40-440040-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ644-4-4-4444-40-440040-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ6588-8-88-8-88000000000000000000000000000000000000000000000000000000000

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