Finite Group Databasebeta

← Group #282369

Character table — Group #282369

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488882444488888888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111-1-11111-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-1
χ101111111111111111-1-1-1-111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-11-1
χ17222222222-2-222-2-2222-2-2-2-2-2-20000222-2-20000000000000000002-2000000000000
χ18222222222-2-222-2-2222-2-2-2-2-2-200002-2-222000000000000000000-22000000000000
χ19222222222-2-222-2-22-2-222-2-2220000-222-2-2000000000000000000-22000000000000
χ20222222222-2-222-2-22-2-222-2-2220000-2-2-2220000000000000000002-2000000000000
χ2122222222-222-2-222-222-2-2-2-2222222-20000-2-2000022-2-20000000000000000000000
χ2222222222-222-2-222-222-2-2-2-222-2-2-2-2-20000220000-2-2220000000000000000000000
χ2322222222-222-2-222-2-2-222-2-2-2-2222220000-2-20000-2-2220000000000000000000000
χ2422222222-222-2-222-2-2-222-2-2-2-2-2-2-2-22000022000022-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-20000-2000000000000002i2i−2i−2i0000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-2222222-2-20000-200000000000000−2i−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
χ2922-2-2-222-202-2002-202i−2i00002i−2i22-2-20000000i2i2−i2−i22i−2i00000022−2−2000000i2−i2002−200
χ3022-2-2-222-202-2002-202i−2i00002i−2i22-2-20000000−i2−i2i2i22i−2i000000−2−222000000−i2i200−2200
χ3122-2-2-222-202-2002-202i−2i00002i−2i-2-2220000000i2i2−i2−i2−2i2i00000022−2−2000000−i2i200−2200
χ3222-2-2-222-202-2002-202i−2i00002i−2i-2-2220000000−i2−i2i2i2−2i2i000000−2−222000000i2−i2002−200
χ3322-2-2-222-202-2002-20−2i2i0000−2i2i22-2-20000000i2i2−i2−i2−2i2i000000−2−222000000i2−i200−2200
χ3422-2-2-222-202-2002-20−2i2i0000−2i2i22-2-20000000−i2−i2i2i2−2i2i00000022−2−2000000−i2i2002−200
χ3522-2-2-222-202-2002-20−2i2i0000−2i2i-2-2220000000i2i2−i2−i22i−2i000000−2−222000000−i2i2002−200
χ3622-2-2-222-202-2002-20−2i2i0000−2i2i-2-2220000000−i2−i2i2i22i−2i00000022−2−2000000i2−i200−2200
χ372-22-2-2-2222222-2-2-2-200002-20000000000000000000002i−2i2i−2i2i−2i2i−2i00002-200000000
χ382-22-2-2-2222222-2-2-2-200002-20000000000000000000002i−2i2i−2i−2i2i−2i2i0000-2200000000
χ392-22-2-2-2222222-2-2-2-200002-2000000000000000000000−2i2i−2i2i2i−2i2i−2i0000-2200000000
χ402-22-2-2-2222222-2-2-2-200002-2000000000000000000000−2i2i−2i2i−2i2i−2i2i00002-200000000
χ412-22-2-2-222-2-2-2-2222200002-200000000000002-22-200002-2-220000002-20000000000
χ422-22-2-2-222-2-2-2-2222200002-200000000000002-22-20000-222-2000000-220000000000
χ432-22-2-2-222-2-2-2-2222200002-20000000000000-22-2200002-2-22000000-220000000000
χ442-22-2-2-222-2-2-2-2222200002-20000000000000-22-220000-222-20000002-20000000000
χ454444-4-4-4-4400-4-40040000000022−2222−220000022−22000000000000000000000000000000
χ464444-4-4-4-4400-4-400400000000−2222−222200000−2222000000000000000000000000000000
χ474444-4-4-4-4-4004400-40000000022−2222−2200000−2222000000000000000000000000000000
χ484444-4-4-4-4-4004400-400000000−2222−22220000022−22000000000000000000000000000000
χ4944-4-44-4-4400000000004i−4i000022−22−222200000000000002i2−2i20000000000000000000000
χ5044-4-44-4-4400000000004i−4i0000−222222−220000000000000−2i22i20000000000000000000000
χ5144-4-44-4-440000000000−4i4i000022−22−22220000000000000−2i22i20000000000000000000000
χ5244-4-44-4-440000000000−4i4i0000−222222−2200000000000002i2−2i20000000000000000000000
χ5344-4-4-444-40-4400-4404i−4i0000−4i4i00000000000000000000000000000000000000000
χ5444-4-4-444-40-4400-440−4i4i00004i−4i00000000000000000000000000000000000000000
χ554-44-444-4-4400-4400-400000000000004-40000000000000000000000000000000000
χ564-44-444-4-4400-4400-40000000000000-440000000000000000000000000000000000
χ574-44-444-4-4-4004-40040000000000000004i−4i00000000000000000000000000000000
χ584-44-444-4-4-4004-4004000000000000000−4i4i00000000000000000000000000000000
χ594-44-4-4-4444-4-44-444-40000-440000000000000000000000000000000000000000000
χ604-44-4-4-444-444-44-4-440000-440000000000000000000000000000000000000000000
χ614-4-444-44-404-400-44000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ624-4-444-44-404-400-4400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ634-4-444-44-40-44004-4000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ644-4-444-44-40-44004-400000000000000000000−2i22i22i2−2i200000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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