Finite Group Databasebeta

← Group #276191

Character table — Group #276191

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-1-1-1-1-1111111-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11-1
χ101111111111111111-1-1-1-1-1-1111111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-11
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-11
χ17222222222-222-2-22-222-2-222-2-20000-222-2-20000000000000000002-2000000000000
χ18222222222-222-2-22-222-2-222-2-20000-2-2-222000000000000000000-22000000000000
χ19222222222-222-2-22-2-2-222-2-2-2-20000222-2-2000000000000000000-22000000000000
χ20222222222-222-2-22-2-2-222-2-2-2-200002-2-2220000000000000000002-2000000000000
χ2122222222-22-2-222-2222-2-2-2-2-2-2222220000-2-222-2-200000000000000000000000000
χ2222222222-22-2-222-2222-2-2-2-2-2-2-2-2-2-22000022-2-22200000000000000000000000000
χ2322222222-22-2-222-22-2-22222-2-22222-20000-2-2-2-22200000000000000000000000000
χ2422222222-22-2-222-22-2-22222-2-2-2-2-2-2-200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2220000-2000000000000002i2i−2i−2i0000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2220000-200000000000000−2i−2i2i2i000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222200002000000000000002i2i−2i−2i000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222220000200000000000000−2i−2i2i2i0000000000002i−2i0000
χ2922-2-2-22-22222-2-2-2-220000002-2000002i−2i2i−2i00000022-2-200000000002i−2i0000000000
χ3022-2-2-22-22222-2-2-2-220000002-2000002i−2i2i−2i000000-2-2220000000000−2i2i0000000000
χ3122-2-2-22-22222-2-2-2-220000002-200000−2i2i−2i2i00000022-2-20000000000−2i2i0000000000
χ3222-2-2-22-22222-2-2-2-220000002-200000−2i2i−2i2i000000-2-22200000000002i−2i0000000000
χ3322-2-2-22-222-22-222-2-2000000-22000002i−2i−2i2i000000000000002i2i−2i−2i00002-200000000
χ3422-2-2-22-222-22-222-2-2000000-22000002i−2i−2i2i00000000000000−2i−2i2i2i0000-2200000000
χ3522-2-2-22-222-22-222-2-2000000-2200000−2i2i2i−2i000000000000002i2i−2i−2i0000-2200000000
χ3622-2-2-22-222-22-222-2-2000000-2200000−2i2i2i−2i00000000000000−2i−2i2i2i00002-200000000
χ372-2-2-2222-202002-20-2002-22-2002i2i−2i−2i0000000002i−2i2−22−200002−22−2000000i2−i200i2−i200
χ382-2-2-2222-202002-20-2002-22-2002i2i−2i−2i0000000002i−2i−22−220000−22−22000000−i2i200−i2i200
χ392-2-2-2222-202002-20-2002-22-200−2i−2i2i2i000000000−2i2i2−22−200002−22−2000000−i2i200−i2i200
χ402-2-2-2222-202002-20-2002-22-200−2i−2i2i2i000000000−2i2i−22−220000−22−22000000i2−i200i2−i200
χ412-2-2-2222-202002-20-200-22-22002i2i−2i−2i000000000−2i2i2−22−20000−22−22000000i2−i200−i2i200
χ422-2-2-2222-202002-20-200-22-22002i2i−2i−2i000000000−2i2i−22−2200002−22−2000000−i2i200i2−i200
χ432-2-2-2222-202002-20-200-22-2200−2i−2i2i2i0000000002i−2i2−22−20000−22−22000000−i2i200i2−i200
χ442-2-2-2222-202002-20-200-22-2200−2i−2i2i2i0000000002i−2i−22−2200002−22−2000000i2−i200−i2i200
χ45444-44-4-4-440-4-400400000000022−2222−220000022−22000000000000000000000000000000
χ46444-44-4-4-440-4-4004000000000−2222−222200000−2222000000000000000000000000000000
χ47444-44-4-4-4-404400-400000000022−2222−2200000−2222000000000000000000000000000000
χ48444-44-4-4-4-404400-4000000000−2222−22220000022−22000000000000000000000000000000
χ4944-44-4-44-440-4400-4000000000000000000000000000022−2222−22000000000000000000
χ5044-44-4-44-440-4400-40000000000000000000000000000−2222−2222000000000000000000
χ5144-44-4-44-4-404-400400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-44-4-44-4-404-40040000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5344-4-4-44-44-44-44-4-444000000-4400000000000000000000000000000000000000000
χ5444-4-4-44-44-4-4-44444-40000004-400000000000000000000000000000000000000000
χ554-444-44-4-40400-440-40000000000000000000000022−22−22220000000000000000000000
χ564-444-44-4-40400-440-400000000000000000000000−222222−220000000000000000000000
χ574-444-44-4-40-4004-40400000000000000000000000000000002i2−2i2−2i22i200000000000000
χ584-444-44-4-40-4004-4040000000000000000000000000000000−2i22i22i2−2i200000000000000
χ594-4-444-4-44000000004-40000002i2−2i2−2i22i200000002i2−2i20000000000000000000000000000
χ604-4-444-4-44000000004-4000000−2i22i22i2−2i20000000−2i22i20000000000000000000000000000
χ614-4-444-4-4400000000-440000002i2−2i2−2i22i20000000−2i22i20000000000000000000000000000
χ624-4-444-4-4400000000-44000000−2i22i22i2−2i200000002i2−2i20000000000000000000000000000
χ634-4-4-4444-40-400-4404004-4-440000000000000000000000000000000000000000000
χ644-4-4-4444-40-400-440400-444-40000000000000000000000000000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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