Finite Group Databasebeta

← Group #274483

Character table — Group #274483

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-111-1-1-1-111111111-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-11
χ101111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1111-1
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-11111-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111-1-1-1-111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-111-1-1-1-11-1
χ17222222222-2-222-2-2222-2-2-2-2-2-2000022-2-220000000000000000002-2000000000000
χ18222222222-2-222-2-2222-2-2-2-2-2-20000-2-2222000000000000000000-22000000000000
χ19222222222-2-222-2-22-2-2-2-22222000022-2-2-2000000000000000000-22000000000000
χ20222222222-2-222-2-22-2-2-2-222220000-2-222-20000000000000000002-2000000000000
χ2122222222-222-2-222-222-2-222-2-222220000-2220000-2-2-2-20000000000000000000000
χ2222222222-222-2-222-222-2-222-2-2-2-2-2-20000-2-2-2000022220000000000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-222222200002-2-20000-2-2220000000000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-222-2-2-2-20000222000022-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-22200000000-200000000002i2i−2i−2i0000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-22200000000-20000000000−2i−2i2i2i000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-200000000200000000002i2i−2i−2i000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-20000000020000000000−2i−2i2i2i0000000000002i−2i0000
χ29222-22-2-2-20-2-2002202-2002-2002i2i−2i−2i000002i−2i22−2−20000000022−2−2000000i2−i200i2−i200
χ30222-22-2-2-20-2-2002202-2002-2002i2i−2i−2i000002i−2i−2−22200000000−2−222000000−i2i200−i2i200
χ31222-22-2-2-20-2-2002202-2002-200−2i−2i2i2i00000−2i2i22−2−20000000022−2−2000000−i2i200−i2i200
χ32222-22-2-2-20-2-2002202-2002-200−2i−2i2i2i00000−2i2i−2−22200000000−2−222000000i2−i200i2−i200
χ33222-22-2-2-20-2-200220-2200-22002i2i−2i−2i00000−2i2i22−2−200000000−2−222000000i2−i200−i2i200
χ34222-22-2-2-20-2-200220-2200-22002i2i−2i−2i00000−2i2i−2−2220000000022−2−2000000−i2i200i2−i200
χ35222-22-2-2-20-2-200220-2200-2200−2i−2i2i2i000002i−2i22−2−200000000−2−222000000−i2i200i2−i200
χ36222-22-2-2-20-2-200220-2200-2200−2i−2i2i2i000002i−2i−2−2220000000022−2−2000000i2−i200−i2i200
χ372-222-2-2-2222-22-22-2-2002-2000000002i−2i2i−2i0000000000000002i−2i2i−2i00002-200000000
χ382-222-2-2-2222-22-22-2-2002-2000000002i−2i2i−2i000000000000000−2i2i−2i2i0000-2200000000
χ392-222-2-2-2222-22-22-2-2002-200000000−2i2i−2i2i0000000000000002i−2i2i−2i0000-2200000000
χ402-222-2-2-2222-22-22-2-2002-200000000−2i2i−2i2i000000000000000−2i2i−2i2i00002-200000000
χ412-222-2-2-222-222-2-22-200-22000000002i−2i−2i2i0002i−2i2i−2i000000000000002-20000000000
χ422-222-2-2-222-222-2-22-200-22000000002i−2i−2i2i000−2i2i−2i2i00000000000000-220000000000
χ432-222-2-2-222-222-2-22-200-2200000000−2i2i2i−2i0002i−2i2i−2i00000000000000-220000000000
χ442-222-2-2-222-222-2-22-200-2200000000−2i2i2i−2i000−2i2i−2i2i000000000000002-20000000000
χ45444-44-4-4-404400-4-404-400-440000000000000000000000000000000000000000000
χ46444-44-4-4-404400-4-40-44004-40000000000000000000000000000000000000000000
χ4744-4-4-44-44400-4400-40000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4844-4-4-44-44400-4400-4000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ4944-4-4-44-44-4004-400400000000000000000000000000022−22−2222000000000000000000
χ5044-4-4-44-44-4004-4004000000000000000000000000000−222222−22000000000000000000
χ514-444-4-4-44-44-4-444-4400-44000000000000000000000000000000000000000000000
χ524-444-4-4-44-4-44-44-444004-4000000000000000000000000000000000000000000000
χ534-44-4-444-404-400-44000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ544-44-4-444-404-400-4400000000000000000000−2i22i22i2−2i200000000000000000000000000
χ554-44-4-444-40-44004-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ564-44-4-444-40-44004-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ574-4-4444-4-4000000000000004-42i2−2i22i2−2i200000000000002i2−2i20000000000000000000000
χ584-4-4444-4-4000000000000004-4−2i22i2−2i22i20000000000000−2i22i20000000000000000000000
χ594-4-4444-4-400000000000000-442i2−2i22i2−2i20000000000000−2i22i20000000000000000000000
χ604-4-4444-4-400000000000000-44−2i22i2−2i22i200000000000002i2−2i20000000000000000000000
χ614-4-4-44-444400-4-40040000000022−22−22220000000000022−22000000000000000000000000
χ624-4-4-44-444400-4-400400000000−222222−2200000000000−2222000000000000000000000000
χ634-4-4-44-444-4004400-40000000022−22−222200000000000−2222000000000000000000000000
χ644-4-4-44-444-4004400-400000000−222222−220000000000022−22000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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