Finite Group Databasebeta

← Group #280314

Character table — Group #280314

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-11111-1-1111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-11111-1-111-1-111-1
χ17222222222-222-2-2-220000-2-222222200-2-2-2-200-2-2000000000000200000000000000
χ18222222222-222-2-2-220000-2-22222-2-200222200-2-2000000000000-200000000000000
χ19222222222-222-2-2-220000-2-2-2-2-2-22200-2-2220022000000000000-200000000000000
χ20222222222-222-2-2-220000-2-2-2-2-2-2-2-20022-2-20022000000000000200000000000000
χ2122222222-22-2-2222-22222-2-2000000-2-20000220022-2-2000000000-20000000000000
χ2222222222-22-2-2222-22222-2-2000000-2-20000-2-200-2-22200000000020000000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-20000002200002200-2-222000000000-20000000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-2000000220000-2-20022-2-200000000020000000000000
χ252-2-22-222-222-2-2-22-222i2i−2i−2i2-20000002i−2i00000000000000000000002-20000002i−2i000
χ262-2-22-222-222-2-2-22-222i2i−2i−2i2-20000002i−2i0000000000000000000000-22000000−2i2i000
χ272-2-22-222-222-2-2-22-22−2i−2i2i2i2-2000000−2i2i00000000000000000000002-2000000−2i2i000
χ282-2-22-222-222-2-2-22-22−2i−2i2i2i2-2000000−2i2i0000000000000000000000-220000002i−2i000
χ292-2-22-222-2-2222-22-2-22i2i−2i−2i-2200002-2−2i2i2-200000000000000000000002i−2i000000000
χ302-2-22-222-2-2222-22-2-22i2i−2i−2i-220000-22−2i2i-220000000000000000000000−2i2i000000000
χ312-2-22-222-2-2222-22-2-2−2i−2i2i2i-2200002-22i−2i2-20000000000000000000000−2i2i000000000
χ322-2-22-222-2-2222-22-2-2−2i−2i2i2i-220000-222i−2i-2200000000000000000000002i−2i000000000
χ332-2-22-222-2-2-2222-22-200002-200002-200-2200000000002i2i−2i−2i00000000002i−2i0000000
χ342-2-22-222-2-2-2222-22-200002-200002-200-220000000000−2i−2i2i2i0000000000−2i2i0000000
χ352-2-22-222-2-2-2222-22-200002-20000-22002-200000000002i2i−2i−2i0000000000−2i2i0000000
χ362-2-22-222-2-2-2222-22-200002-20000-22002-20000000000−2i−2i2i2i00000000002i−2i0000000
χ372-2-2-222-2202002-2-202i−2i2i−2i0022−2−2000000002i−2i2−22-200i2−i2i2−i222−2−2000000000000i2−i20
χ382-2-2-222-2202002-2-202i−2i2i−2i0022−2−200000000−2i2i2−2-2200i2−i2i2−i2−2−222000000000000−i2i20
χ392-2-2-222-2202002-2-202i−2i2i−2i00−2−222000000002i−2i−222-200−i2i2−i2i2−2−222000000000000−i2i20
χ402-2-2-222-2202002-2-202i−2i2i−2i00−2−22200000000−2i2i−22-2200−i2i2−i2i222−2−2000000000000i2−i20
χ412-2-2-222-2202002-2-20−2i2i−2i2i0022−2−2000000002i−2i2−2-2200−i2i2−i2i2−2−222000000000000i2−i20
χ422-2-2-222-2202002-2-20−2i2i−2i2i0022−2−200000000−2i2i2−22-200−i2i2−i2i222−2−2000000000000−i2i20
χ432-2-2-222-2202002-2-20−2i2i−2i2i00−2−222000000002i−2i−22-2200i2−i2i2−i222−2−2000000000000−i2i20
χ442-2-2-222-2202002-2-20−2i2i−2i2i00−2−22200000000−2i2i−222-200i2−i2i2−i2−2−222000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-44-4-40400-4-4404-4-44000000000000000000000000000000000000000000000
χ47444-4-44-4-40400-4-440-444-4000000000000000000000000000000000000000000000
χ48444-4-44-4-40-40044-400000000000000000000000000022−22−22220000000000000000000
χ49444-4-44-4-40-40044-4000000000000000000000000000−222222−220000000000000000000
χ5044-44-4-4-44404-4000-40000004-44-4000000000000000000000000000000000000000
χ5144-44-4-4-44404-4000-4000000-44-44000000000000000000000000000000000000000
χ5244-44-4-4-44-40-4400040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5344-44-4-4-44-40-440004000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ544-4444-4-4-440-44000-400000000000000000000000000000000000000000022−2200000
χ554-4444-4-4-440-44000-4000000000000000000000000000000000000000000−222200000
χ564-4444-4-4-4-404-4000400000000000000004i−4i0000000000000000000000000000000
χ574-4444-4-4-4-404-400040000000000000000−4i4i0000000000000000000000000000000
χ584-44-4-4-4440000000000000022−22−2222000000000000002i2−2i200002i−2i−2i2i000000000000000
χ594-44-4-4-4440000000000000022−22−222200000000000000−2i22i20000−2i2i2i−2i000000000000000
χ604-44-4-4-44400000000000000−222222−22000000000000002i2−2i20000−2i2i2i−2i000000000000000
χ614-44-4-4-44400000000000000−222222−2200000000000000−2i22i200002i−2i−2i2i000000000000000
χ624-4-44-444-44-4-4-44-4440000-440000000000000000000000000000000000000000000
χ634-4-4-444-440-400-44400000002222−22−220000000000−2222000000000000000000000000000
χ644-4-4-444-440-400-4440000000−22−222222000000000022−22000000000000000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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