Finite Group Databasebeta

← Group #274491

Character table — Group #274491

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888822224488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1
χ91111111111111111-1-1-1-111-1-11111-1111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-11
χ101111111111111111-1-1-1-111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11-1
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1111-1
χ17222222222-2-222-2-2222-2-2-2-2-2-20000222-2-200000000000000000000002-200000000
χ18222222222-2-222-2-2222-2-2-2-2-2-200002-2-2220000000000000000000000-2200000000
χ19222222222-2-222-2-22-2-222-2-2220000-222-2-20000000000000000000000-2200000000
χ20222222222-2-222-2-22-2-222-2-2220000-2-2-22200000000000000000000002-200000000
χ2122222222-222-2-222-22222-2-2-2-22222-20000-2-2-2-20000220000000000000000000000
χ2222222222-222-2-222-22222-2-2-2-2-2-2-2-2-2000022220000-2-20000000000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-222222220000-2-2220000-2-20000000000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-222-2-2-2-22000022-2-20000220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222220000-2000000000000002i2i−2i−2i0000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-222220000-200000000000000−2i−2i2i2i000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-200002000000000000002i2i−2i−2i000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-20000200000000000000−2i−2i2i2i0000000000002i−2i0000
χ292-222-2-2-2222-22-22-2-200002-200000002i−2i2i−2i00002i2i−2i−2i00000000002-2000000000000
χ302-222-2-2-2222-22-22-2-200002-200000002i−2i2i−2i0000−2i−2i2i2i0000000000-22000000000000
χ312-222-2-2-2222-22-22-2-200002-20000000−2i2i−2i2i00002i2i−2i−2i0000000000-22000000000000
χ322-222-2-2-2222-22-22-2-200002-20000000−2i2i−2i2i0000−2i−2i2i2i00000000002-2000000000000
χ332-222-2-2-222-222-2-22-20000-2200000002i−2i−2i2i000000000000002i2i−2i−2i002-20000000000
χ342-222-2-2-222-222-2-22-20000-2200000002i−2i−2i2i00000000000000−2i−2i2i2i00-220000000000
χ352-222-2-2-222-222-2-22-20000-220000000−2i2i2i−2i000000000000002i2i−2i−2i00-220000000000
χ362-222-2-2-222-222-2-22-20000-220000000−2i2i2i−2i00000000000000−2i−2i2i2i002-20000000000
χ372-22-222-2-202200-2-202-22-200002i2i−2i−2i0000000002−22−22i−2i00002−22−2000000i2−i200i2−i200
χ382-22-222-2-202200-2-202-22-200002i2i−2i−2i000000000−22−222i−2i0000−22−22000000−i2i200−i2i200
χ392-22-222-2-202200-2-202-22-20000−2i−2i2i2i0000000002−22−2−2i2i00002−22−2000000−i2i200−i2i200
χ402-22-222-2-202200-2-202-22-20000−2i−2i2i2i000000000−22−22−2i2i0000−22−22000000i2−i200i2−i200
χ412-22-222-2-202200-2-20-22-2200002i2i−2i−2i0000000002−22−2−2i2i0000−22−22000000−i2i200i2−i200
χ422-22-222-2-202200-2-20-22-2200002i2i−2i−2i000000000−22−22−2i2i00002−22−2000000i2−i200−i2i200
χ432-22-222-2-202200-2-20-22-220000−2i−2i2i2i0000000002−22−22i−2i0000−22−22000000i2−i200−i2i200
χ442-22-222-2-202200-2-20-22-220000−2i−2i2i2i000000000−22−222i−2i00002−22−2000000−i2i200i2−i200
χ45444-4-4-44-404-400-4400000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ46444-4-4-44-404-400-440000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ47444-4-4-44-40-44004-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ48444-4-4-44-40-44004-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ4944-444-4-4-4400-4-4004000000002i2−2i22i2−2i2000002i2−2i2000000000000000000000000000000
χ5044-444-4-4-4400-4-400400000000−2i22i2−2i22i200000−2i22i2000000000000000000000000000000
χ5144-444-4-4-4-4004400-4000000002i2−2i22i2−2i200000−2i22i2000000000000000000000000000000
χ5244-444-4-4-4-4004400-400000000−2i22i2−2i22i2000002i2−2i2000000000000000000000000000000
χ534-444-4-4-44-44-4-444-440000-440000000000000000000000000000000000000000000
χ544-444-4-4-44-4-44-44-44400004-40000000000000000000000000000000000000000000
χ554-44-444-4-40-4-4004404-4-44000000000000000000000000000000000000000000000
χ564-44-444-4-40-4-400440-444-4000000000000000000000000000000000000000000000
χ574-4-44-444-4400-4400-40000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ584-4-44-444-4400-4400-4000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ594-4-44-444-4-4004-400400000000000000000000000000022−22−2222000000000000000000
χ604-4-44-444-4-4004-4004000000000000000000000000000−222222−22000000000000000000
χ614-4-4-44-444000000000000004-422−22−2222000000022−220000000000000000000000000000
χ624-4-4-44-444000000000000004-4−222222−220000000−22220000000000000000000000000000
χ634-4-4-44-44400000000000000-4422−22−22220000000−22220000000000000000000000000000
χ644-4-4-44-44400000000000000-44−222222−22000000022−220000000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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