Finite Group Databasebeta

← Group #280401

Character table — Group #280401

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-111-111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-11
χ101111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-111111-1-1-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-1-1-11111-1-111-1
χ172222222222-2-22-2-220000-2-222220022-2-200-2-2-2-2000000000000200000000000000
χ182222222222-2-22-2-220000-2-2222200-2-2220022-2-2000000000000-200000000000000
χ192222222222-2-22-2-220000-2-2-2-2-2-200222200-2-222000000000000-200000000000000
χ202222222222-2-22-2-220000-2-2-2-2-2-200-2-2-2-2002222000000000000200000000000000
χ2122222222-2-222-222-22222-2-20000-2-2000022000022-2-20000000000000-2000000000
χ2222222222-2-222-222-22222-2-20000-2-20000-2-20000-2-22200000000000002000000000
χ2322222222-2-222-222-2-2-2-2-2-2-20000220000220000-2-2220000000000000-2000000000
χ2422222222-2-222-222-2-2-2-2-2-2-20000220000-2-2000022-2-200000000000002000000000
χ2522-2-22-2-22002-202-202i2i−2i−2i00i2i2−i2−i20000002-200i2−i22i−2i0022−2−222−2−200000000i2−i200000
χ2622-2-22-2-22002-202-202i2i−2i−2i00i2i2−i2−i2000000-2200i2−i2−2i2i0022−2−2−2−22200000000−i2i200000
χ2722-2-22-2-22002-202-202i2i−2i−2i00−i2−i2i2i20000002-200−i2i22i−2i00−2−222−2−22200000000−i2i200000
χ2822-2-22-2-22002-202-202i2i−2i−2i00−i2−i2i2i2000000-2200−i2i2−2i2i00−2−22222−2−200000000i2−i200000
χ2922-2-22-2-22002-202-20−2i−2i2i2i00i2i2−i2−i20000002-200i2−i2−2i2i00−2−222−2−22200000000i2−i200000
χ3022-2-22-2-22002-202-20−2i−2i2i2i00i2i2−i2−i2000000-2200i2−i22i−2i00−2−22222−2−200000000−i2i200000
χ3122-2-22-2-22002-202-20−2i−2i2i2i00−i2−i2i2i20000002-200−i2i2−2i2i0022−2−222−2−200000000−i2i200000
χ3222-2-22-2-22002-202-20−2i−2i2i2i00−i2−i2i2i2000000-2200−i2i22i−2i0022−2−2−2−22200000000i2−i200000
χ332-2-222-22-22-2222-2-2-22-22-2-2200002-22i−2i00002i−2i000000000000000000002i−2i0000000
χ342-2-222-22-22-2222-2-2-22-22-2-2200002-2−2i2i0000−2i2i00000000000000000000−2i2i0000000
χ352-2-222-22-22-2222-2-2-2-22-22-220000-222i−2i00002i−2i00000000000000000000−2i2i0000000
χ362-2-222-22-22-2222-2-2-2-22-22-220000-22−2i2i0000−2i2i000000000000000000002i−2i0000000
χ372-2-222-22-22-2-2-2222-200002-20000002i−2i0000−2i2i0000002i−2i2i−2i00000002-20000000000
χ382-2-222-22-22-2-2-2222-200002-20000002i−2i0000−2i2i000000−2i2i−2i2i0000000-220000000000
χ392-2-222-22-22-2-2-2222-200002-2000000−2i2i00002i−2i0000002i−2i2i−2i0000000-220000000000
χ402-2-222-22-22-2-2-2222-200002-2000000−2i2i00002i−2i000000−2i2i−2i2i00000002-20000000000
χ412-2-222-22-2-2222-2-2-222-22-22-20000-22000000000000000000000002i−2i00000002i−2i000
χ422-2-222-22-2-2222-2-2-222-22-22-20000-2200000000000000000000000−2i2i0000000−2i2i000
χ432-2-222-22-2-2222-2-2-22-22-222-200002-2000000000000000000000002i−2i0000000−2i2i000
χ442-2-222-22-2-2222-2-2-22-22-222-200002-200000000000000000000000−2i2i00000002i−2i000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-44-400-40040000004-44-4000000000000000000000000000000000000000
χ474444-4-4-4-44-400-4004000000-44-44000000000000000000000000000000000000000
χ484444-4-4-4-4-4400400-400000000000000000000000000000022−2222−22000000000000000
χ494444-4-4-4-4-4400400-4000000000000000000000000000000−2222−2222000000000000000
χ5044-4-44-4-4400-440-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5144-4-44-4-4400-440-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ5244-4-4-444-4000000000000002i2−2i2−2i22i2000000000000002i2−2i200002-2-22000000000000000
χ5344-4-4-444-4000000000000002i2−2i2−2i22i200000000000000−2i22i20000-222-2000000000000000
χ5444-4-4-444-400000000000000−2i22i22i2−2i2000000000000002i2−2i20000-222-2000000000000000
χ5544-4-4-444-400000000000000−2i22i22i2−2i200000000000000−2i22i200002-2-22000000000000000
χ564-44-444-4-4004-40-4404i−4i−4i4i000000000000000000000000000000000000000000000
χ574-44-444-4-4004-40-440−4i4i4i−4i000000000000000000000000000000000000000000000
χ584-44-444-4-400-4404-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ594-44-444-4-400-4404-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ604-4-444-44-4-44-4-4-44440000-440000000000000000000000000000000000000000000
χ614-4-44-44-444400-400-4000000000000004i−4i000000000000000000000000000000000
χ624-4-44-44-444400-400-400000000000000−4i4i000000000000000000000000000000000
χ634-4-44-44-44-4-4004004000000000000000000000000000000000000000000000022−220
χ644-4-44-44-44-4-40040040000000000000000000000000000000000000000000000−22220
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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