Finite Group Databasebeta

← Group #276754

Character table — Group #276754

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111111111-1-1-1-1-1-11111-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-1-1-11111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-11
χ1722222222222-2-2-2-22-2-222-2-2220000-222-2-20000000000000000002-2000000000000
χ1822222222222-2-2-2-22-2-222-2-2220000-2-2-222000000000000000000-22000000000000
χ1922222222222-2-2-2-22-2-2-2-222-2-20000222-2-2000000000000000000-22000000000000
χ2022222222222-2-2-2-22-2-2-2-222-2-200002-2-2220000000000000000002-2000000000000
χ2122222222-2-2-22222-2-2-22222-2-22222-20000-2-222-2-200000000000000000000000000
χ2222222222-2-2-22222-2-2-22222-2-2-2-2-2-2-2000022-2-22200000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-222222220000-2-2-2-22200000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-222-2-2-2-2200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-20000200000000002i2i−2i−2i000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2000020000000000−2i−2i2i2i00000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-222-2-222220000-200000000002i2i−2i−2i00000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-222-2-222220000-20000000000−2i−2i2i2i000000000000002i−2i000000
χ29222-22-2-2-2-22-222-2-222-2000000000002i−2i2i−2i000000000022-2-20000002i−2i0000000000
χ30222-22-2-2-2-22-222-2-222-2000000000002i−2i2i−2i0000000000-2-222000000−2i2i0000000000
χ31222-22-2-2-2-22-222-2-222-200000000000−2i2i−2i2i000000000022-2-2000000−2i2i0000000000
χ32222-22-2-2-2-22-222-2-222-200000000000−2i2i−2i2i0000000000-2-2220000002i−2i0000000000
χ33222-22-2-2-2-22-2-2-2222-22000000000002i−2i−2i2i000000000000002i2i−2i−2i00002-200000000
χ34222-22-2-2-2-22-2-2-2222-22000000000002i−2i−2i2i00000000000000−2i−2i2i2i0000-2200000000
χ35222-22-2-2-2-22-2-2-2222-2200000000000−2i2i2i−2i000000000000002i2i−2i−2i0000-2200000000
χ36222-22-2-2-2-22-2-2-2222-2200000000000−2i2i2i−2i00000000000000−2i−2i2i2i00002-200000000
χ372-2-222-2-220002-22-20002i−2i2i−2i0022-2-200000002i−2i000000i2−i2i2−i22−22−200000000i2−i22−200
χ382-2-222-2-220002-22-20002i−2i2i−2i0022-2-200000002i−2i000000−i2i2−i2i2−22−2200000000−i2i2−2200
χ392-2-222-2-220002-22-20002i−2i2i−2i00-2-2220000000−2i2i000000i2−i2i2−i22−22−200000000−i2i2−2200
χ402-2-222-2-220002-22-20002i−2i2i−2i00-2-2220000000−2i2i000000−i2i2−i2i2−22−2200000000i2−i22−200
χ412-2-222-2-220002-22-2000−2i2i−2i2i0022-2-20000000−2i2i000000i2−i2i2−i2−22−2200000000i2−i2−2200
χ422-2-222-2-220002-22-2000−2i2i−2i2i0022-2-20000000−2i2i000000−i2i2−i2i22−22−200000000−i2i22−200
χ432-2-222-2-220002-22-2000−2i2i−2i2i00-2-22200000002i−2i000000i2−i2i2−i2−22−2200000000−i2i22−200
χ442-2-222-2-220002-22-2000−2i2i−2i2i00-2-22200000002i−2i000000−i2i2−i2i22−22−200000000i2−i2−2200
χ45444-44-4-4-44-4444-4-4-4-4400000000000000000000000000000000000000000000000
χ46444-44-4-4-44-44-4-444-44-400000000000000000000000000000000000000000000000
χ4744-44-44-4-444-40000-40000000000000000000000022−2222−220000000000000000000000
χ4844-44-44-4-444-40000-400000000000000000000000−2222−22220000000000000000000000
χ4944-44-44-4-4-4-4400004000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5044-44-44-4-4-4-440000400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ5144-4-4-4-4444-4-400004000000002i2−2i22i2−2i2000002i2−2i2000000000000000000000000000000
χ5244-4-4-4-4444-4-40000400000000−2i22i2−2i22i200000−2i22i2000000000000000000000000000000
χ5344-4-4-4-444-4440000-4000000002i2−2i22i2−2i200000−2i22i2000000000000000000000000000000
χ5444-4-4-4-444-4440000-400000000−2i22i2−2i22i2000002i2−2i2000000000000000000000000000000
χ554-44-4-44-44000000000000004-42i2−2i2−2i22i20000000002i2−2i200000000000000000000000000
χ564-44-4-44-44000000000000004-4−2i22i22i2−2i2000000000−2i22i200000000000000000000000000
χ574-44-4-44-4400000000000000-442i2−2i2−2i22i2000000000−2i22i200000000000000000000000000
χ584-44-4-44-4400000000000000-44−2i22i22i2−2i20000000002i2−2i200000000000000000000000000
χ594-4-444-4-44000-44-440004i−4i−4i4i0000000000000000000000000000000000000000000
χ604-4-444-4-44000-44-44000−4i4i4i−4i0000000000000000000000000000000000000000000
χ614-4-4-4444-40004-4-4400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ624-4-4-4444-40004-4-440000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ634-4-4-4444-4000-444-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ644-4-4-4444-4000-444-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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