Finite Group Databasebeta

← Group #103730

Character table — Group #103730

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
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
χ9222222222222222-2-2-2-22-2-22-22-2-200000000000000000000000022-2-20000000000
χ10222222222222222-2-2-2-22-2-22-22-2-2000000000000000000000000-2-2220000000000
χ11222222222222-2-2-22222-2-2-2-22-22-22222-2-2-2-2000000000000000000000000000000
χ12222222222222-2-2-22222-2-2-2-22-22-2-2-2-2-22222000000000000000000000000000000
χ13222222222222-2-2-2-2-2-2-2-222-2-2-2-22000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000
χ14222222222222-2-2-2-2-2-2-2-222-2-2-2-2200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000
χ1522222222-2-2-2-22222222222-2-2-2-2-2000000000000000000000000000022-2-2000000
χ1622222222-2-2-2-22222222222-2-2-2-2-20000000000000000000000000000-2-222000000
χ1722222222-2-2-2-2222-2-2-2-22-2-2-22-2220000000000000000000000000000000022-2-200
χ1822222222-2-2-2-2222-2-2-2-22-2-2-22-22200000000000000000000000000000000-2-22200
χ1922222222-2-2-2-2-2-2-22222-2-2-22-22-220000000000000000000000000000000000002-2
χ2022222222-2-2-2-2-2-2-22222-2-2-22-22-22000000000000000000000000000000000000-22
χ2122222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000002222-2-2-2-200000000000000
χ2222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000-2-2-2-2222200000000000000
χ2322-22-2-2-22000022-2-2-222-22-20000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000002-2000000
χ2422-22-2-2-22000022-2-2-222-22-20000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000-22000000
χ2522-22-2-2-22000022-2-2-222-22-20000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000-22000000
χ2622-22-2-2-22000022-2-2-222-22-20000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000002-2000000
χ2722-22-2-2-220000-2-2222-2-222-2000000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i200002i−2i00000000
χ2822-22-2-2-220000-2-2222-2-222-2000000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000−2i2i00000000
χ2922-22-2-2-220000-2-2222-2-222-20000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000−2i2i00000000
χ3022-22-2-2-220000-2-2222-2-222-20000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i200002i−2i00000000
χ312-2-2222-2-222-2-22-220000-200-20200i2i2−i2−i2i2i2−i2−i22−22−22−22−200000000002i−2i0000000000
χ322-2-2222-2-222-2-22-220000-200-20200i2i2−i2−i2i2i2−i2−i2−22−22−22−220000000000−2i2i0000000000
χ332-2-2222-2-222-2-22-220000-200-20200−i2−i2i2i2−i2−i2i2i22−22−22−22−20000000000−2i2i0000000000
χ342-2-2222-2-222-2-22-220000-200-20200−i2−i2i2i2−i2−i2i2i2−22−22−22−2200000000002i−2i0000000000
χ352-2-2222-2-222-2-2-22-2000020020-200i2i2−i2−i2−i2−i2i2i2i2−i2i2−i2−i2i2−i2i2000000002-2000000000000
χ362-2-2222-2-222-2-2-22-2000020020-200i2i2−i2−i2−i2−i2i2i2−i2i2−i2i2i2−i2i2−i200000000-22000000000000
χ372-2-2222-2-222-2-2-22-2000020020-200−i2−i2i2i2i2i2−i2−i2i2−i2i2−i2−i2i2−i2i200000000-22000000000000
χ382-2-2222-2-222-2-2-22-2000020020-200−i2−i2i2i2i2i2−i2−i2−i2i2−i2i2i2−i2i2−i2000000002-2000000000000
χ392-2-2-22-2222-22-20002-22-2000020-2000002i−2i2i−2i000000002−22−22−22−200000000i2−i2i2−i200
χ402-2-2-22-2222-22-20002-22-2000020-2000002i−2i2i−2i00000000−22−22−22−2200000000−i2i2−i2i200
χ412-2-2-22-2222-22-20002-22-2000020-200000−2i2i−2i2i000000002−22−22−22−200000000−i2i2−i2i200
χ422-2-2-22-2222-22-20002-22-2000020-200000−2i2i−2i2i00000000−22−22−22−2200000000i2−i2i2−i200
χ432-2-2-22-222-22-22000-22-22000020-202i−2i2i−2i0000000000002−22−2−22−2200000000i2−i2−i2i200
χ442-2-2-22-222-22-22000-22-22000020-202i−2i2i−2i000000000000−22−222−22−200000000−i2i2i2−i200
χ452-2-2-22-222-22-22000-22-22000020-20−2i2i−2i2i0000000000002−22−2−22−2200000000−i2i2i2−i200
χ462-2-2-22-222-22-22000-22-22000020-20−2i2i−2i2i000000000000−22−222−22−200000000i2−i2−i2i200
χ47444-44-4-4-44-4-44000000000000000000022−22−2222000000000000000000000000000000
χ48444-44-4-4-44-4-440000000000000000000−222222−22000000000000000000000000000000
χ49444-44-4-4-4-444-400000000000000022−22−22220000000000000000000000000000000000
χ50444-44-4-4-4-444-4000000000000000−222222−220000000000000000000000000000000000
χ5144-44-4-4-44000044-444-4-4-4-440000000000000000000000000000000000000000000
χ5244-44-4-4-440000-4-44-4-4444-440000000000000000000000000000000000000000000
χ534-444-4-44-400004-4-4000040000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ544-444-4-44-400004-4-400004000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ554-444-4-44-40000-4440000-40000000000000002-2-22-222-20000000000000000000000
χ564-444-4-44-40000-4440000-4000000000000000-222-22-2-220000000000000000000000
χ574-44-4-44-4400000004-4-440000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ584-44-4-44-4400000004-4-44000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ594-44-4-44-440000000-444-40000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ604-44-4-44-440000000-444-4000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ614-4-4444-4-4-4-4444-440000-40040-40000000000000000000000000000000000000000
χ624-4-4444-4-4-4-444-44-40000400-4040000000000000000000000000000000000000000
χ634-4-4-44-4444-44-4000-44-440000-404000000000000000000000000000000000000000
χ644-4-4-44-444-44-440004-44-40000-404000000000000000000000000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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