Finite Group Databasebeta

← Group #276169

Character table — Group #276169

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888824444488888824
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
χ91111111111111111-1-1-1-111-1-11111-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1
χ101111111111111111-1-1-1-111-1-11111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-11-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-11
χ17222222222-2-2-2-222222-2-2-2-2220000-222-2-20000000000000000002-2000000000000
χ18222222222-2-2-2-222222-2-2-2-2220000-2-2-222000000000000000000-22000000000000
χ19222222222-2-2-2-2222-2-222-2-2-2-20000222-2-2000000000000000000-22000000000000
χ20222222222-2-2-2-2222-2-222-2-2-2-200002-2-2220000000000000000002-2000000000000
χ2122222222-22222-2-2-22222-2-2-2-22222-20000-2-222-2-200000000000000000000000000
χ2222222222-22222-2-2-22222-2-2-2-2-2-2-2-2-2000022-2-22200000000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-222222220000-2-2-2-22200000000000000000000000000
χ2422222222-22222-2-2-2-2-2-2-2-2-222-2-2-2-2200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-20000200000000002i2i−2i−2i000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-2000020000000000−2i−2i2i2i00000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000-200000000002i2i−2i−2i00000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000-20000000000−2i−2i2i2i000000000000002i−2i000000
χ29222-2-22-2-2022-2-20002i−2i2i−2i000022-2-200000002i−2i000000i2i2−i2−i222−2−2000000002−2i2−i200
χ30222-2-22-2-2022-2-20002i−2i2i−2i000022-2-200000002i−2i000000−i2−i2i2i2−2−22200000000−22−i2i200
χ31222-2-22-2-2022-2-20002i−2i2i−2i0000-2-2220000000−2i2i000000i2i2−i2−i222−2−200000000−22−i2i200
χ32222-2-22-2-2022-2-20002i−2i2i−2i0000-2-2220000000−2i2i000000−i2−i2i2i2−2−222000000002−2i2−i200
χ33222-2-22-2-2022-2-2000−2i2i−2i2i000022-2-20000000−2i2i000000i2i2−i2−i2−2−22200000000−22i2−i200
χ34222-2-22-2-2022-2-2000−2i2i−2i2i000022-2-20000000−2i2i000000−i2−i2i2i222−2−2000000002−2−i2i200
χ35222-2-22-2-2022-2-2000−2i2i−2i2i0000-2-22200000002i−2i000000i2i2−i2−i2−2−222000000002−2−i2i200
χ36222-2-22-2-2022-2-2000−2i2i−2i2i0000-2-22200000002i−2i000000−i2−i2i2i222−2−200000000−22i2−i200
χ372-22-2-2-22222-22-22-2-200002-200000002i−2i2i−2i000000000000002i−2i2i−2i00002-200000000
χ382-22-2-2-22222-22-22-2-200002-200000002i−2i2i−2i00000000000000−2i2i−2i2i0000-2200000000
χ392-22-2-2-22222-22-22-2-200002-20000000−2i2i−2i2i000000000000002i−2i2i−2i0000-2200000000
χ402-22-2-2-22222-22-22-2-200002-20000000−2i2i−2i2i00000000000000−2i2i−2i2i00002-200000000
χ412-22-2-2-2222-22-222-2-20000-2200000002i−2i−2i2i00000000002-22-20000002i−2i0000000000
χ422-22-2-2-2222-22-222-2-20000-2200000002i−2i−2i2i0000000000-22-22000000−2i2i0000000000
χ432-22-2-2-2222-22-222-2-20000-220000000−2i2i2i−2i00000000002-22-2000000−2i2i0000000000
χ442-22-2-2-2222-22-222-2-20000-220000000−2i2i2i−2i0000000000-22-220000002i−2i0000000000
χ45444-4-44-4-40-4-4440004i−4i−4i4i000000000000000000000000000000000000000000000
χ46444-4-44-4-40-4-444000−4i4i4i−4i000000000000000000000000000000000000000000000
χ4744-44-4-44-4000000000000004i−4i2i2−2i22i2−2i200000000022−2200000000000000000000000000
χ4844-44-4-44-4000000000000004i−4i−2i22i2−2i22i2000000000−222200000000000000000000000000
χ4944-44-4-44-400000000000000−4i4i2i2−2i22i2−2i2000000000−222200000000000000000000000000
χ5044-44-4-44-400000000000000−4i4i−2i22i2−2i22i200000000022−2200000000000000000000000000
χ5144-4-44-4-4440000-4-44000000002i2−2i2−2i22i2000002i2−2i2000000000000000000000000000000
χ5244-4-44-4-4440000-4-4400000000−2i22i22i2−2i200000−2i22i2000000000000000000000000000000
χ5344-4-44-4-44-4000044-4000000002i2−2i2−2i22i200000−2i22i2000000000000000000000000000000
χ5444-4-44-4-44-4000044-400000000−2i22i22i2−2i2000002i2−2i2000000000000000000000000000000
χ554-4444-4-4-404-4-4400000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ564-4444-4-4-404-4-440000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ574-4444-4-4-40-444-40000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-4444-4-4-40-444-4000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-44-4-4-444-44-44-4-4440000-440000000000000000000000000000000000000000000
χ604-44-4-4-444-4-44-44-44400004-40000000000000000000000000000000000000000000
χ614-4-44-44-4440000-44-4000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ624-4-44-44-4440000-44-400000000000000000000000−2i22i2−2i22i20000000000000000000000
χ634-4-44-44-44-400004-440000000000000000000000022−22−22220000000000000000000000
χ644-4-44-44-44-400004-4400000000000000000000000−222222−220000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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