Finite Group Databasebeta

← Group #287342

Character table — Group #287342

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822224444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111-11-1-1-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-11-11-1-1-1-111-11
χ111111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-111111-1-1-11
χ121111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-11-111-1-1111-1
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11-11-111-1-111-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-11-111111-1-11-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-11-11-1-1-1-1111-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111111-11-1-1-111-1-1-11
χ17222222222-2222222-2-22-2-2-222-2-2-20000000000000000000000000022-2-200000000
χ18222222222-2222222-2-22-2-2-222-2-2-200000000000000000000000000-2-22200000000
χ19222222222-2-2-2-2-222-2-22-2-2-2-2-2222000000000000000000000000002-2-2200000000
χ20222222222-2-2-2-2-222-2-22-2-2-2-2-222200000000000000000000000000-222-200000000
χ2122222222-222222-2-222-22-2-2-2-222-200000000000022220000-2-2-2-200000000000000
χ2222222222-222222-2-222-22-2-2-2-222-2000000000000-2-2-2-20000222200000000000000
χ2322222222-22-2-2-2-2-2-222-22-2-222-2-2200000000000022-2-20000-2-22200000000000000
χ2422222222-22-2-2-2-2-2-222-22-2-222-2-22000000000000-2-222000022-2-200000000000000
χ2522222222-2-22222-2-2-2-2-2-222-2-2-2-22000000002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ2622222222-2-22222-2-2-2-2-2-222-2-2-2-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ29222-2-2-22-22-200002-22-2-222-2000002i2i−2i−2i0000000000002-22-200000000002i−2i000000
χ30222-2-2-22-22-200002-22-2-222-2000002i2i−2i−2i000000000000-22-220000000000−2i2i000000
χ31222-2-2-22-22-200002-22-2-222-200000−2i−2i2i2i0000000000002-22-20000000000−2i2i000000
χ32222-2-2-22-22-200002-22-2-222-200000−2i−2i2i2i000000000000-22-2200000000002i−2i000000
χ33222-2-2-22-2-220000-22-222-22-20000000002i2i−2i−2i000000002i−2i−2i2i00002-2000000000000
χ34222-2-2-22-2-220000-22-222-22-20000000002i2i−2i−2i00000000−2i2i2i−2i0000-22000000000000
χ35222-2-2-22-2-220000-22-222-22-2000000000−2i−2i2i2i000000002i−2i−2i2i0000-22000000000000
χ36222-2-2-22-2-220000-22-222-22-2000000000−2i−2i2i2i00000000−2i2i2i−2i00002-2000000000000
χ372-2-22-2-2220-222-2-200-220200002-202−22−22−22−20000000000002-22-2000000002−22−200
χ382-2-22-2-2220-222-2-200-220200002-202−22−22−22−2000000000000-22-2200000000−22−2200
χ392-2-22-2-2220-222-2-200-220200002-20−22−22−22−220000000000002-22-200000000−22−2200
χ402-2-22-2-2220-222-2-200-220200002-20−22−22−22−22000000000000-22-22000000002−22−200
χ412-2-22-2-2220-2-2-22200-22020000-2202−22−2−22−220000000000002-2-22000000002−2−2200
χ422-2-22-2-2220-2-2-22200-22020000-2202−22−2−22−22000000000000-222-200000000−222−200
χ432-2-22-2-2220-2-2-22200-22020000-220−22−222−22−20000000000002-2-2200000000−222−200
χ442-2-22-2-2220-2-2-22200-22020000-220−22−222−22−2000000000000-222-2000000002−2−2200
χ45444-4-4-44-44400004-4-44-4-4-440000000000000000000000000000000000000000000
χ46444-4-4-44-4-4-40000-444-444-440000000000000000000000000000000000000000000
χ4744-444-4-4-4400000-4400-4000000000000000022−2222−2200000000000000000000000000
χ4844-444-4-4-4400000-4400-40000000000000000−2222−222200000000000000000000000000
χ4944-444-4-4-4-4000004-400400000000000000002i2−2i2−2i22i200000000000000000000000000
χ5044-444-4-4-4-4000004-40040000000000000000−2i22i22i2−2i200000000000000000000000000
χ5144-4-4-44-44404-44-4-4-40040004-400000000000000000000000000000000000000000
χ5244-4-4-44-4440-44-44-4-4004000-4400000000000000000000000000000000000000000
χ5344-4-4-44-44-404-44-44400-4000-4400000000000000000000000000000000000000000
χ5444-4-4-44-44-40-44-444400-40004-400000000000000000000000000000000000000000
χ554-44-44-4-44004-4-44000000000000000000000000022−2222−220000000000000000000000
χ564-44-44-4-44004-4-440000000000000000000000000−2222−22220000000000000000000000
χ574-44-44-4-4400-444-4000000000000000000000000022−22−22220000000000000000000000
χ584-44-44-4-4400-444-40000000000000000000000000−222222−220000000000000000000000
χ594-4-44-4-4440444-4-4004-40-40000-44000000000000000000000000000000000000000
χ604-4-44-4-44404-4-444004-40-400004-4000000000000000000000000000000000000000
χ614-4-4-4444-404000000-4-40400000002i2−2i2−2i22i20000000000000000000000000000000000
χ624-4-4-4444-404000000-4-4040000000−2i22i22i2−2i20000000000000000000000000000000000
χ634-4-4-4444-40-4000000440-4000000000002i2−2i2−2i22i2000000000000000000000000000000
χ644-4-4-4444-40-4000000440-400000000000−2i22i22i2−2i2000000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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