Finite Group Databasebeta

← Group #286408

Character table — Group #286408

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-11111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-1-11111111111-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11
χ101111111111111111-1-1-1-1-1-11111111111-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11
χ131111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-111-1-11-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-11111-1-1-1-1-11
χ17222222222-2-2-2222-22222-2-2-2-2000022-2-2-20000000000000000002-2000000000000
χ18222222222-2-2-2222-22222-2-2-2-20000-2-222-2000000000000000000-22000000000000
χ19222222222-2-2-2222-2-2-2-2-222-2-2000022-2-22000000000000000000-22000000000000
χ20222222222-2-2-2222-2-2-2-2-222-2-20000-2-22220000000000000000002-2000000000000
χ2122222222-2222-2-2-2222-2-222-2-222220000-2-2-2-2-20000000022000000000000000000
χ2222222222-2222-2-2-2222-2-222-2-2-2-2-2-20000-2222200000000-2-2000000000000000000
χ2322222222-2222-2-2-22-2-222-2-2-2-2222200002-2-22200000000-2-2000000000000000000
χ2422222222-2222-2-2-22-2-222-2-2-2-2-2-2-2-20000222-2-20000000022000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-222000000002000000000000002i2i−2i−2i00000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22200000000200000000000000−2i−2i2i2i0000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-222222200000000-2000000000000002i2i−2i−2i0000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000−2i−2i2i2i00000000002i−2i00
χ29222-22-2-2-202-2-200022-2002-20022-2-2000000000i2i2−i2−i2i2i2−i2−i22-20000000000i2−i2i2−i20000
χ30222-22-2-2-202-2-200022-2002-20022-2-2000000000−i2−i2i2i2−i2−i2i2i22-20000000000−i2i2−i2i20000
χ31222-22-2-2-202-2-200022-2002-200-2-222000000000i2i2−i2−i2i2i2−i2−i2-220000000000−i2i2−i2i20000
χ32222-22-2-2-202-2-200022-2002-200-2-222000000000−i2−i2i2i2−i2−i2i2i2-220000000000i2−i2i2−i20000
χ33222-22-2-2-202-2-20002-2200-220022-2-2000000000i2i2−i2−i2−i2−i2i2i2-220000000000i2−i2−i2i20000
χ34222-22-2-2-202-2-20002-2200-220022-2-2000000000−i2−i2i2i2i2i2−i2−i2-220000000000−i2i2i2−i20000
χ35222-22-2-2-202-2-20002-2200-2200-2-222000000000i2i2−i2−i2−i2−i2i2i22-20000000000−i2i2i2−i20000
χ36222-22-2-2-202-2-20002-2200-2200-2-222000000000−i2−i2i2i2i2i2−i2−i22-20000000000i2−i2−i2i20000
χ372-2-222-22-22-22-22-2-220000002-2000000000000000002i−2i2i−2i002-22-200002i−2i00000000
χ382-2-222-22-22-22-22-2-220000002-2000000000000000002i−2i2i−2i00-22-220000−2i2i00000000
χ392-2-222-22-22-22-22-2-220000002-200000000000000000−2i2i−2i2i002-22-20000−2i2i00000000
χ402-2-222-22-22-22-22-2-220000002-200000000000000000−2i2i−2i2i00-22-2200002i−2i00000000
χ412-2-222-22-2-22-22-222-20000002-200000000000002-22-20000002i−2i−2i2i002i−2i0000000000
χ422-2-222-22-2-22-22-222-20000002-200000000000002-22-2000000−2i2i2i−2i00−2i2i0000000000
χ432-2-222-22-2-22-22-222-20000002-20000000000000-22-220000002i−2i−2i2i00−2i2i0000000000
χ442-2-222-22-2-22-22-222-20000002-20000000000000-22-22000000−2i2i2i−2i002i−2i0000000000
χ45444-44-4-4-40-444000-44-400-440000000000000000000000000000000000000000000
χ46444-44-4-4-40-444000-4-44004-40000000000000000000000000000000000000000000
χ4744-44-44-4-44000-44-400000000000004-400000000000000000000000000000000000
χ4844-44-44-4-44000-44-40000000000000-4400000000000000000000000000000000000
χ4944-44-44-4-4-40004-440000000000000004i−4i000000000000000000000000000000000
χ5044-44-44-4-4-40004-44000000000000000−4i4i000000000000000000000000000000000
χ514-444-4-4-444000-4-440000000002i2−2i22i2−2i2000002i2−2i2000000000000000000000000000000
χ524-444-4-4-444000-4-44000000000−2i22i2−2i22i200000−2i22i2000000000000000000000000000000
χ534-444-4-4-44-400044-40000000002i2−2i22i2−2i200000−2i22i2000000000000000000000000000000
χ544-444-4-4-44-400044-4000000000−2i22i2−2i22i2000002i2−2i2000000000000000000000000000000
χ554-44-4-444-400000000004i−4i00002i2−2i2−2i22i2000000022−220000000000000000000000000000
χ564-44-4-444-400000000004i−4i0000−2i22i22i2−2i20000000−22220000000000000000000000000000
χ574-44-4-444-40000000000−4i4i00002i2−2i2−2i22i20000000−22220000000000000000000000000000
χ584-44-4-444-40000000000−4i4i0000−2i22i22i2−2i2000000022−220000000000000000000000000000
χ594-4-444-44-444-444-4-4-4000000-4400000000000000000000000000000000000000000
χ604-4-444-44-4-4-44-4-4444000000-4400000000000000000000000000000000000000000
χ614-4-4-444-44044-4000-40000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ624-4-4-444-44044-4000-4000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ634-4-4-444-440-4-440004000000000000000000000000022−22−222200000000000000000000
χ644-4-4-444-440-4-4400040000000000000000000000000−222222−2200000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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