Finite Group Databasebeta

← Group #276721

Character table — Group #276721

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
χ91111111111111111-1-111-1-1-1-11111-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11-1
χ101111111111111111-1-111-1-1-1-11111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-11
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-2-2-2-2-20000222-2-20000000000000000002-2000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-2-200002-2-222000000000000000000-22000000000000
χ1922222222222-2-2-2-22-2-2-2-222220000-222-2-2000000000000000000-22000000000000
χ2022222222222-2-2-2-22-2-2-2-222220000-2-2-2220000000000000000002-2000000000000
χ2122222222-2-2-22222-222-2-2-2-2222222-20000-2-222-2-200000000000000000000000000
χ2222222222-2-2-22222-222-2-2-2-222-2-2-2-2-2000022-2-22200000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-222-2-2222220000-2-2-2-22200000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-222-2-2-2-2-2-2200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-20000-200000000002i2i−2i−2i000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-2222222-2-20000-20000000000−2i−2i2i2i00000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-2220000200000000002i2i−2i−2i00000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222000020000000000−2i−2i2i2i000000000000002i−2i000000
χ292-222-22-2-2-22-222-2-22002-20000000002i−2i2i−2i0000000000000022-2-200002i−2i00000000
χ302-222-22-2-2-22-222-2-22002-20000000002i−2i2i−2i00000000000000-2-2220000−2i2i00000000
χ312-222-22-2-2-22-222-2-22002-2000000000−2i2i−2i2i0000000000000022-2-20000−2i2i00000000
χ322-222-22-2-2-22-222-2-22002-2000000000−2i2i−2i2i00000000000000-2-22200002i−2i00000000
χ332-222-22-2-2-22-2-2-222200-220000000002i−2i−2i2i00000000002i2i−2i−2i0000002-20000000000
χ342-222-22-2-2-22-2-2-222200-220000000002i−2i−2i2i0000000000−2i−2i2i2i000000-220000000000
χ352-222-22-2-2-22-2-2-222200-22000000000−2i2i2i−2i00000000002i2i−2i−2i000000-220000000000
χ362-222-22-2-2-22-2-2-222200-22000000000−2i2i2i−2i0000000000−2i−2i2i2i0000002-20000000000
χ372-2-2-2222-20002-22-202i−2i00002i−2i22-2-200000002i−2i0000002−22−2i2−i2i2−i2000000002−2i2−i200
χ382-2-2-2222-20002-22-202i−2i00002i−2i22-2-200000002i−2i000000−22−22−i2i2−i2i200000000−22−i2i200
χ392-2-2-2222-20002-22-202i−2i00002i−2i-2-2220000000−2i2i0000002−22−2i2−i2i2−i200000000−22−i2i200
χ402-2-2-2222-20002-22-202i−2i00002i−2i-2-2220000000−2i2i000000−22−22−i2i2−i2i2000000002−2i2−i200
χ412-2-2-2222-20002-22-20−2i2i0000−2i2i22-2-20000000−2i2i0000002−22−2−i2i2−i2i2000000002−2−i2i200
χ422-2-2-2222-20002-22-20−2i2i0000−2i2i22-2-20000000−2i2i000000−22−22i2−i2i2−i200000000−22i2−i200
χ432-2-2-2222-20002-22-20−2i2i0000−2i2i-2-22200000002i−2i0000002−22−2−i2i2−i2i200000000−22i2−i200
χ442-2-2-2222-20002-22-20−2i2i0000−2i2i-2-22200000002i−2i000000−22−22i2−i2i2−i2000000002−2−i2i200
χ45444-44-4-4-44-4-4000040000000022−2222−220000022−22000000000000000000000000000000
χ46444-44-4-4-44-4-40000400000000−2222−222200000−2222000000000000000000000000000000
χ47444-44-4-4-4-4440000-40000000022−2222−2200000−2222000000000000000000000000000000
χ48444-44-4-4-4-4440000-400000000−2222−22220000022−22000000000000000000000000000000
χ4944-4-4-44-440004-4-44000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5044-4-4-44-440004-4-4400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ5144-4-4-44-44000-444-400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-4-4-44-44000-444-40000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-444-44-4-44-4444-4-4-400-44000000000000000000000000000000000000000000000
χ544-444-44-4-44-44-4-444-4004-4000000000000000000000000000000000000000000000
χ554-44-4-4-44444-40000-4000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ564-44-4-4-44444-40000-400000000000000000000000−2i22i2−2i22i20000000000000000000000
χ574-44-4-4-444-4-44000040000000000000000000000022−22−22220000000000000000000000
χ584-44-4-4-444-4-440000400000000000000000000000−222222−220000000000000000000000
χ594-4-444-4-440000000000004i−4i0022−22−22220000000002i2−2i200000000000000000000000000
χ604-4-444-4-440000000000004i−4i00−222222−22000000000−2i22i200000000000000000000000000
χ614-4-444-4-44000000000000−4i4i0022−22−2222000000000−2i22i200000000000000000000000000
χ624-4-444-4-44000000000000−4i4i00−222222−220000000002i2−2i200000000000000000000000000
χ634-4-4-4444-4000-44-4404i−4i0000−4i4i00000000000000000000000000000000000000000
χ644-4-4-4444-4000-44-440−4i4i00004i−4i00000000000000000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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