Finite Group Databasebeta

← Group #260356

Character table — Group #260356

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442244444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-11-1-11-1-1-1-1-111-1-1111111-1-1-1-11111-1-11-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-11-1-11-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11-111-1-111-1-111
χ711111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111111-1-1-1-111
χ811111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-11-1-1-1-11111-1-1
χ91111111111111111-1-1-1-111111111-1-11-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ101111111111111111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ111111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ131111111111111111-1-1-1-1-1-1-1-11-1-1111-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-11-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-11-1-1111-111-1-111-1-11111-1-1-1-11111-1-1-11-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-11-1-1111-111-1-111-1-1-1-1-1-11111-1-111-1-1-111111-1-111-1-1
χ172222222222-2-222-2-2000022-2-2-222-200-20022220000000000000000-2-20000000000
χ182222222222-2-222-2-2000022-2-2-222-200-200-2-2-2-20000000000000000220000000000
χ192222222222-2-222-2-20000-2-222-2-2-2-20020022-2-20000000000000000-220000000000
χ202222222222-2-222-2-20000-2-222-2-2-2-200200-2-22200000000000000002-20000000000
χ2122222222-2-222-2-222222222-2-2-2-2-2-2222-2-20000-2-200000000000000000000000000
χ2222222222-2-222-2-2222222-2-222-222-2-2-2-2220000-2-200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-222-2-2-2-2-2-2-2-222200002200000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-222-222-222-2-2-200002200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2000022222-2-2200-20000000000000000002-22-2000000000000
χ2622222222-2-2-2-2-2-2-2-2000022222-2-2200-2000000000000000000-22-22000000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2-2-222220020000000000000000002-2-22000000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2-2-22222002000000000000000000-222-2000000000000
χ292-22-22-22-2222-2-2-22-22i2i−2i−2i0000-20020000000002i−2i000000002-20000000000002i−2i00
χ302-22-22-22-2222-2-2-22-22i2i−2i−2i0000-20020000000002i−2i00000000-22000000000000−2i2i00
χ312-22-22-22-2222-2-2-22-2−2i−2i2i2i0000-2002000000000−2i2i000000002-2000000000000−2i2i00
χ322-22-22-22-2222-2-2-22-2−2i−2i2i2i0000-2002000000000−2i2i00000000-220000000000002i−2i00
χ332-22-22-22-2-2-22-2222-22i2i−2i−2i0000200-2000000000−2i2i00000000000000002i−2i0000002-2
χ342-22-22-22-2-2-22-2222-22i2i−2i−2i0000200-2000000000−2i2i0000000000000000−2i2i000000-22
χ352-22-22-22-2-2-22-2222-2−2i−2i2i2i0000200-20000000002i−2i00000000000000002i−2i000000-22
χ362-22-22-22-2-2-22-2222-2−2i−2i2i2i0000200-20000000002i−2i0000000000000000−2i2i0000002-2
χ372-2-2-222-22002200-2-22i−2i2i−2i002-202-200002i−2i000000i2i2−i2−i2i2i2−i2−i200000000002−22−20000
χ382-2-2-222-22002200-2-22i−2i2i−2i002-202-200002i−2i000000−i2−i2i2i2−i2−i2i2i20000000000−22−220000
χ392-2-2-222-22002200-2-22i−2i2i−2i00-220-220000−2i2i000000i2i2−i2−i2−i2−i2i2i200000000002−2−220000
χ402-2-2-222-22002200-2-22i−2i2i−2i00-220-220000−2i2i000000−i2−i2i2i2i2i2−i2−i20000000000−222−20000
χ412-2-2-222-22002200-2-2−2i2i−2i2i002-202-20000−2i2i000000i2i2−i2−i2i2i2−i2−i20000000000−22−220000
χ422-2-2-222-22002200-2-2−2i2i−2i2i002-202-20000−2i2i000000−i2−i2i2i2−i2−i2i2i200000000002−22−20000
χ432-2-2-222-22002200-2-2−2i2i−2i2i00-220-2200002i−2i000000i2i2−i2−i2−i2−i2i2i20000000000−222−20000
χ442-2-2-222-22002200-2-2−2i2i−2i2i00-220-2200002i−2i000000−i2−i2i2i2i2i2−i2−i200000000002−2−220000
χ45444-4-44-4-44-4004-40000000000000000000000000000022−2222−22000000000000000000
χ46444-4-44-4-44-4004-400000000000000000000000000000−2222−2222000000000000000000
χ47444-4-44-4-4-4400-44000000000000000000000000022−2222−220000000000000000000000
χ48444-4-44-4-4-4400-440000000000000000000000000−2222−22220000000000000000000000
χ4944-444-4-4-4004-400-444-4-44000000000000000000000000000000000000000000000
χ5044-444-4-4-4004-400-44-444-4000000000000000000000000000000000000000000000
χ5144-444-4-4-400-44004-40000000000004-400000000000000000000000000000000000
χ5244-444-4-4-400-44004-4000000000000-4400000000000000000000000000000000000
χ534-444-4-4-444-400-440000000000000000000004i−4i0000000000000000000000000000
χ544-444-4-4-444-400-44000000000000000000000−4i4i0000000000000000000000000000
χ554-444-4-4-44-44004-400000000000000000004i−4i000000000000000000000000000000
χ564-444-4-4-44-44004-40000000000000000000−4i4i000000000000000000000000000000
χ574-44-44-44-444-44-4-4-4400000000400-40000000000000000000000000000000000000
χ584-44-44-44-4-4-4-4444-4400000000-40040000000000000000000000000000000000000
χ594-4-44-444-40000000000004-4000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ604-4-44-444-40000000000004-400000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ614-4-44-444-4000000000000-44000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ624-4-44-444-4000000000000-4400000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ634-4-4-444-4400-4-400440000004-40-4400000000000000000000000000000000000000
χ644-4-4-444-4400-4-40044000000-4404-400000000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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