Finite Group Databasebeta

← Group #247255

Character table — Group #247255

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111-1-11-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111111111-11111-111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111
χ91111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-111111-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-1111111-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111111-1-1-1-1-1-11-1-111-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-1-11111111-1-1-1-1-11111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111111-1-1-1-111-111-1-11-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-1-11111-1-1-111111-1-111-1-111-1-1
χ172222222222-2-2-222-22222-2-20000-2-2222200-200000000000000-20000-20000000000
χ182222222222-2-2-222-22222-2-20000-2-2-2-2-2-200-2000000000000002000020000000000
χ192222222222-2-2-222-2-2-2-2-2220000-2-222-2-200200000000000000-2000020000000000
χ202222222222-2-2-222-2-2-2-2-2220000-2-2-2-2220020000000000000020000-20000000000
χ2122222222-2-2222-2-2222-2-2222222-2-2000022-2-2-2-2-200000000000000000000000000
χ2222222222-2-2222-2-2222-2-222-2-2-2-2-2-20000-2-2-2222200000000000000000000000000
χ2322222222-2-2222-2-22-2-222-2-22222-2-20000-2-22-2-22200000000000000000000000000
χ2422222222-2-2222-2-22-2-222-2-2-2-2-2-2-2-2000022222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-200002200000020000000000000002-20002-200000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-20000220000002000000000000000-22000-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000022000000-20000000000000002-2000-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000022000000-2000000000000000-220002-200000000
χ29222-2-2-22-2002-2-20022-2002-222-2-20000002-200000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ30222-2-2-22-2002-2-20022-2002-222-2-20000002-200000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ31222-2-2-22-2002-2-20022-2002-2-2-222000000-2200000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ32222-2-2-22-2002-2-20022-2002-2-2-222000000-2200000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ33222-2-2-22-2002-2-2002-2200-2222-2-2000000-2200000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ34222-2-2-22-2002-2-2002-2200-2222-2-2000000-2200000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ35222-2-2-22-2002-2-2002-2200-22-2-2220000002-200000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ36222-2-2-22-2002-2-2002-2200-22-2-2220000002-200000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ372-2-2-22-2222-2-22-22-220000002-22-22-200000002-20000000000000002-20000000002-2
χ382-2-2-22-2222-2-22-22-220000002-22-22-200000002-2000000000000000-22000000000-22
χ392-2-2-22-2222-2-22-22-22000000-22-222-20000000-220000000000000002-2000000000-22
χ402-2-2-22-2222-2-22-22-22000000-22-222-20000000-22000000000000000-220000000002-2
χ412-2-2-22-222-22-22-2-2220000002-22-2-220000000-2200000000002-20000000000002-200
χ422-2-2-22-222-22-22-2-2220000002-22-2-220000000-220000000000-22000000000000-2200
χ432-2-2-22-222-22-22-2-222000000-22-22-2200000002-200000000002-2000000000000-2200
χ442-2-2-22-222-22-22-2-222000000-22-22-2200000002-20000000000-220000000000002-200
χ45444-4-4-44-400-44400-44-400-440000000000000000000000000000000000000000000
χ46444-4-4-44-400-44400-4-44004-40000000000000000000000000000000000000000000
χ4744-444-4-4-44-4000-440000000000000004-4000000000000000000000000000000000
χ4844-444-4-4-44-4000-44000000000000000-44000000000000000000000000000000000
χ4944-444-4-4-4-440004-400000000000004-400000000000000000000000000000000000
χ5044-444-4-4-4-440004-40000000000000-4400000000000000000000000000000000000
χ514-444-4-4-4400000000004i−4i00000000000000000002i−2i2i−2i2-22-2000000000000000000
χ524-444-4-4-4400000000004i−4i0000000000000000000−2i2i−2i2i-22-22000000000000000000
χ534-444-4-4-440000000000−4i4i00000000000000000002i−2i2i−2i-22-22000000000000000000
χ544-444-4-4-440000000000−4i4i0000000000000000000−2i2i−2i2i2-22-2000000000000000000
χ554-44-444-4-444000-4-400000000000000000000000022−22−22220000000000000000000000
χ564-44-444-4-444000-4-4000000000000000000000000−222222−220000000000000000000000
χ574-44-444-4-4-4-40004400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-44-444-4-4-4-4000440000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-4-44-444-40044-400-40000000000000000000004i−4i00000000000000000000000000
χ604-4-44-444-40044-400-4000000000000000000000−4i4i00000000000000000000000000
χ614-4-44-444-400-4-440040000004-4-44000000000000000000000000000000000000000
χ624-4-44-444-400-4-44004000000-444-4000000000000000000000000000000000000000
χ634-4-4-44-4444-44-444-4-40000000000-440000000000000000000000000000000000000
χ644-4-4-44-444-444-44-44-400000000004-40000000000000000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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