Finite Group Databasebeta

← Group #258694

Character table — Group #258694

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444444444444488888888888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11-11-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-111-1-1111111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-1111111
χ71111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ91111111111111111-1-11-1-1-1-11-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-111-1-1
χ101111111111111111-1-11-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-111-1-111
χ111111111111111111-1-11-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-1-1-111
χ121111111111111111-1-11-1-1-1-11-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1111111-1-1
χ131111111111111111-1-11-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-11111-1-111
χ141111111111111111-1-11-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111-111-1-111-1-111-1-1
χ151111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-111-1-11111-1-1
χ161111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111-111-1-1-1-1-1-111
χ172222222222-2-222-2-222-222-2-2-2-22200-2-20000000000000000000020-200000000000
χ182222222222-2-222-2-222-222-2-2-2-2-2-2002200000000000000000000-20200000000000
χ192222222222-2-222-2-2-2-2-2-2-222-222200-2-200000000000000000000-20200000000000
χ202222222222-2-222-2-2-2-2-2-2-222-22-2-200220000000000000000000020-200000000000
χ2122222222-2-222-2-22222-2-2-222-2-2002200220000000000000000000-20-20000000000
χ2222222222-2-222-2-22222-2-2-222-2-200-2-200-2-200000000000000000002020000000000
χ2322222222-2-222-2-222-2-2-222-2-2-22002200-2-2000000000000000000020-20000000000
χ2422222222-2-222-2-222-2-2-222-2-2-2200-2-200220000000000000000000-2020000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-2220000000000000000000000000000002-22-2000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-222000000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000000000-222-2000000
χ292-22-222-2-2002-2002-22i−2i0002i−2i00002-2002i−2i22−2−2i2i2−i2−i222−2−2i2i2−i2−i20000000000000000
χ302-22-222-2-2002-2002-22i−2i0002i−2i00002-2002i−2i−2−222−i2−i2i2i2−2−222−i2−i2i2i20000000000000000
χ312-22-222-2-2002-2002-22i−2i0002i−2i0000-2200−2i2i22−2−2i2i2−i2−i2−2−222−i2−i2i2i20000000000000000
χ322-22-222-2-2002-2002-22i−2i0002i−2i0000-2200−2i2i−2−222−i2−i2i2i222−2−2i2i2−i2−i20000000000000000
χ332-22-222-2-2002-2002-2−2i2i000−2i2i00002-200−2i2i22−2−2−i2−i2i2i222−2−2−i2−i2i2i20000000000000000
χ342-22-222-2-2002-2002-2−2i2i000−2i2i00002-200−2i2i−2−222i2i2−i2−i2−2−222i2i2−i2−i20000000000000000
χ352-22-222-2-2002-2002-2−2i2i000−2i2i0000-22002i−2i22−2−2−i2−i2i2i2−2−222i2i2−i2−i20000000000000000
χ362-22-222-2-2002-2002-2−2i2i000−2i2i0000-22002i−2i−2−222i2i2−i2−i222−2−2−i2−i2i2i20000000000000000
χ372-2-222-22-22-2222-2-2-200-20000202i−2i002i−2i0000002-22-20000000000000000002i−2i0000
χ382-2-222-22-22-2222-2-2-200-20000202i−2i002i−2i000000-22-22000000000000000000−2i2i0000
χ392-2-222-22-22-2222-2-2-200-2000020−2i2i00−2i2i0000002-22-2000000000000000000−2i2i0000
χ402-2-222-22-22-2222-2-2-200-2000020−2i2i00−2i2i000000-22-220000000000000000002i−2i0000
χ412-2-222-22-22-2-2-22-2220020000-202i−2i00−2i2i002i−2i2i−2i0000000000002-200000000000000
χ422-2-222-22-22-2-2-22-2220020000-202i−2i00−2i2i00−2i2i−2i2i000000000000-2200000000000000
χ432-2-222-22-22-2-2-22-2220020000-20−2i2i002i−2i002i−2i2i−2i000000000000-2200000000000000
χ442-2-222-22-22-2-2-22-2220020000-20−2i2i002i−2i00−2i2i−2i2i0000000000002-200000000000000
χ4544-44-44-4-44400-4-400000000000000000000000000022−2222−2200000000000000000000
χ4644-44-44-4-44400-4-4000000000000000000000000000−2222−222200000000000000000000
χ4744-44-44-4-4-4-4004400000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ4844-44-44-4-4-4-400440000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ4944-4-44-4-44004-400-440000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5044-4-44-4-44004-400-44000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ5144-4-44-4-4400-44004-4000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ5244-4-44-4-4400-44004-400000000000000000−2i22i22i2−2i20000000000000000000000000000
χ534-444-4-4-444-400-44000000000000000000000000000000000000000000000002i2−2i200
χ544-444-4-4-444-400-4400000000000000000000000000000000000000000000000−2i22i200
χ554-444-4-4-44-44004-400000000000000000000000000000000000000000000000002i2−2i2
χ564-444-4-4-44-44004-40000000000000000000000000000000000000000000000000−2i22i2
χ574-44-444-4-400-4400-444i−4i000−4i4i000000000000000000000000000000000000000000
χ584-44-444-4-400-4400-44−4i4i0004i−4i000000000000000000000000000000000000000000
χ594-4-444-44-4-4444-44-4-40040000-400000000000000000000000000000000000000000
χ604-4-444-44-4-44-4-4-444400-40000400000000000000000000000000000000000000000
χ614-4-4-4-4444000000000004-4000000000000000000002-2-222-2-220000000000000000
χ624-4-4-4-4444000000000004-400000000000000000000-222-2-222-20000000000000000
χ634-4-4-4-444400000000000-44000000000000000000002-2-22-222-20000000000000000
χ644-4-4-4-444400000000000-4400000000000000000000-222-22-2-220000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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