Finite Group Databasebeta

← Group #278758

Character table — Group #278758

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488882244488888888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
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
χ91111111111111111-1-1-1-1-1-11111111111-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-11
χ101111111111111111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111-1
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-11
χ131111111111111111-1-1-1-1-1-111-1-1-1-11111-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-11
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-111-1-1-1-111-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11-1
χ172222222222-2-2-222-222-2-2-2-2-2-22222000020000-2-222-2-20000000000000000000000
χ182222222222-2-2-222-222-2-2-2-2-2-2-2-2-2-200002000022-2-2220000000000000000000000
χ192222222222-2-2-222-2-2-22222-2-222220000-20000-2-2-2-2220000000000000000000000
χ202222222222-2-2-222-2-2-22222-2-2-2-2-2-20000-200002222-2-20000000000000000000000
χ2122222222-2-2222-2-222222-2-2-2-2000022-2-2-20000000000000000002-2000000000000
χ2222222222-2-2222-2-222222-2-2-2-20000-2-222-2000000000000000000-22000000000000
χ2322222222-2-2222-2-22-2-2-2-222-2-2000022-2-22000000000000000000-22000000000000
χ2422222222-2-2222-2-22-2-2-2-222-2-20000-2-22220000000000000000002-2000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222200000000-200000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222-2-2222200000000-20000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-22200000000200000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-2220000000020000000000−2i−2i2i2i00000000002i−2i000000
χ29222-2-22-2-22-20002-20002i−2i2i−2i002i2i−2i−2i0000022−2−200002-20000i2i2−i2−i200000000i2−i22−200
χ30222-2-22-2-22-20002-20002i−2i2i−2i002i2i−2i−2i00000−2−22200002-20000−i2−i2i2i200000000−i2i2−2200
χ31222-2-22-2-22-20002-20002i−2i2i−2i00−2i−2i2i2i0000022−2−20000-220000i2i2−i2−i200000000−i2i2−2200
χ32222-2-22-2-22-20002-20002i−2i2i−2i00−2i−2i2i2i00000−2−2220000-220000−i2−i2i2i200000000i2−i22−200
χ33222-2-22-2-22-20002-2000−2i2i−2i2i002i2i−2i−2i0000022−2−20000-220000−i2−i2i2i200000000i2−i2−2200
χ34222-2-22-2-22-20002-2000−2i2i−2i2i002i2i−2i−2i00000−2−2220000-220000i2i2−i2−i200000000−i2i22−200
χ35222-2-22-2-22-20002-2000−2i2i−2i2i00−2i−2i2i2i0000022−2−200002-20000−i2−i2i2i200000000−i2i22−200
χ36222-2-22-2-22-20002-2000−2i2i−2i2i00−2i−2i2i2i00000−2−22200002-20000i2i2−i2−i200000000i2−i2−2200
χ372-22-2-2-222222-2-2-2-220000002-200002-22-202i−2i2i−2i00000000000000002i−2i0000000000
χ382-22-2-2-222222-2-2-2-220000002-200002-22-20−2i2i−2i2i0000000000000000−2i2i0000000000
χ392-22-2-2-222222-2-2-2-220000002-20000-22-2202i−2i2i−2i0000000000000000−2i2i0000000000
χ402-22-2-2-222222-2-2-2-220000002-20000-22-220−2i2i−2i2i00000000000000002i−2i0000000000
χ412-22-2-2-222-2-22-2-2222000000-2200002-2-220000000000000002-22-200002-200000000
χ422-22-2-2-222-2-22-2-2222000000-2200002-2-22000000000000000-22-220000-2200000000
χ432-22-2-2-222-2-22-2-2222000000-220000-222-20000000000000002-22-20000-2200000000
χ442-22-2-2-222-2-22-2-2222000000-220000-222-2000000000000000-22-2200002-200000000
χ45444-4-44-4-4-44000-440004i−4i−4i4i0000000000000000000000000000000000000000000
χ46444-4-44-4-4-44000-44000−4i4i4i−4i0000000000000000000000000000000000000000000
χ4744-44-4-44-4000000004-40000002i2−2i22i2−2i2000000000002i2−2i2000000000000000000000000
χ4844-44-4-44-4000000004-4000000−2i22i2−2i22i200000000000−2i22i2000000000000000000000000
χ4944-44-4-44-400000000-440000002i2−2i22i2−2i200000000000−2i22i2000000000000000000000000
χ5044-44-4-44-400000000-44000000−2i22i2−2i22i2000000000002i2−2i2000000000000000000000000
χ5144-4-44-4-440044-400-40000000022−22−222200000000022−2200000000000000000000000000
χ5244-4-44-4-440044-400-400000000−222222−22000000000−222200000000000000000000000000
χ5344-4-44-4-4400-4-440040000000022−22−2222000000000−222200000000000000000000000000
χ5444-4-44-4-4400-4-4400400000000−222222−2200000000022−2200000000000000000000000000
χ554-4444-4-4-44-4000-440000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ564-4444-4-4-44-4000-44000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ574-4444-4-4-4-440004-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ584-4444-4-4-4-440004-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ594-44-4-4-44444-444-4-4-4000000-4400000000000000000000000000000000000000000
χ604-44-4-4-444-4-4-44444-40000004-400000000000000000000000000000000000000000
χ614-4-44-44-44004-4400-40000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ624-4-44-44-44004-4400-4000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ634-4-44-44-4400-44-400400000000000000000000000000022−22−2222000000000000000000
χ644-4-44-44-4400-44-4004000000000000000000000000000−222222−22000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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