Finite Group Databasebeta

← Group #260444

Character table — Group #260444

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442244444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-1-1-1111-1-11-1-11111-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1
χ7111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-111111111-111-1111111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111
χ91111111111111111-1-11-1-11111-1-11-1-1-1-1-111-1-1111111-1-1-1-11-1-1-11111-1-111-1-111-1-1
χ101111111111111111-1-11-1-11111-1-11-1-1-1-1-111-1-111-1-1-1-111111-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-11-1-11111-1-11-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-1-1-111
χ121111111111111111-1-11-1-11111-1-11-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-1-11111-1-1
χ131111111111111111-1-11-1-1-1-1-1-1-1-1111-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-111-1-11111-1-1
χ141111111111111111-1-11-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-1-1-111
χ151111111111111111-1-11-1-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-111-1-111
χ161111111111111111-1-11-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-11111-1-1-1111-1-11111-1-111-1-1
χ172222222222-2-222-2-222-2-2-20000-2-2-20020022-2-20000000000-200200000000000000
χ182222222222-2-222-2-222-2-2-20000-2-2-200200-2-2220000000000200-200000000000000
χ192222222222-2-222-2-2-2-2-222000022-200-20022220000000000-200-200000000000000
χ202222222222-2-222-2-2-2-2-222000022-200-200-2-2-2-20000000000200200000000000000
χ2122222222-2-222-2-22222-2-2-2222222-2-2-2-2220000-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-222-222-2-2-200002200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2222222-2-2-2222-2-20000-2-200000000000000000000000000
χ2422222222-2-222-2-222-2-2-222-2-2-2-2-2-2-2-2-222200002200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222220000-2-2200-2000000000000000002-202-2000000000000
χ2622222222-2-2-2-2-2-2-2-2222220000-2-2200-200000000000000000-220-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22-2-20000222002000000000000000002-20-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22-2-2000022200200000000000000000-2202-2000000000000
χ2922-2-22-22-2002-2002-22i−2i00022-2-22i−2i00002i−2i000000i2i2−i2−i222−2−20000000000i2−i22−20000
χ3022-2-22-22-2002-2002-22i−2i00022-2-22i−2i00002i−2i000000−i2−i2i2i2−2−2220000000000−i2i2−220000
χ3122-2-22-22-2002-2002-22i−2i000-2-2222i−2i0000−2i2i000000i2i2−i2−i222−2−20000000000−i2i2−220000
χ3222-2-22-22-2002-2002-22i−2i000-2-2222i−2i0000−2i2i000000−i2−i2i2i2−2−2220000000000i2−i22−20000
χ3322-2-22-22-2002-2002-2−2i2i00022-2-2−2i2i0000−2i2i000000i2i2−i2−i2−2−2220000000000i2−i2−220000
χ3422-2-22-22-2002-2002-2−2i2i00022-2-2−2i2i0000−2i2i000000−i2−i2i2i222−2−20000000000−i2i22−20000
χ3522-2-22-22-2002-2002-2−2i2i000-2-222−2i2i00002i−2i000000i2i2−i2−i2−2−2220000000000−i2i22−20000
χ3622-2-22-22-2002-2002-2−2i2i000-2-222−2i2i00002i−2i000000−i2−i2i2i222−2−20000000000i2−i2−220000
χ372-22-2-222-2222-2-2-2-2200-2002i−2i2i−2i0020000000002i−2i00000000000000002-20000002i−2i
χ382-22-2-222-2222-2-2-2-2200-2002i−2i2i−2i0020000000002i−2i0000000000000000-22000000−2i2i
χ392-22-2-222-2222-2-2-2-2200-200−2i2i−2i2i002000000000−2i2i00000000000000002-2000000−2i2i
χ402-22-2-222-2222-2-2-2-2200-200−2i2i−2i2i002000000000−2i2i0000000000000000-220000002i−2i
χ412-22-2-222-2-2-22-222-22002002i−2i2i−2i00-2000000000−2i2i000000000000002i−2i0000002-200
χ422-22-2-222-2-2-22-222-22002002i−2i2i−2i00-2000000000−2i2i00000000000000−2i2i000000-2200
χ432-22-2-222-2-2-22-222-2200200−2i2i−2i2i00-20000000002i−2i000000000000002i−2i000000-2200
χ442-22-2-222-2-2-22-222-2200200−2i2i−2i2i00-20000000002i−2i00000000000000−2i2i0000002-200
χ454444-4-4-4-44-4004-40000000000000000000000000000022−2222−22000000000000000000
χ464444-4-4-4-44-4004-400000000000000000000000000000−2222−2222000000000000000000
χ474444-4-4-4-4-4400-44000000000000000000000000022−2222−220000000000000000000000
χ484444-4-4-4-4-4400-440000000000000000000000000−2222−22220000000000000000000000
χ4944-4-44-44-400-4400-444i−4i0000000−4i4i00000000000000000000000000000000000000
χ5044-4-44-44-400-4400-44−4i4i00000004i−4i00000000000000000000000000000000000000
χ5144-4-4-44-44000000000004i−4i0000000000000000002i−2i−2i2i2-2-22000000000000000000
χ5244-4-4-44-44000000000004i−4i000000000000000000−2i2i2i−2i-222-2000000000000000000
χ5344-4-4-44-4400000000000−4i4i0000000000000000002i−2i−2i2i-222-2000000000000000000
χ5444-4-4-44-4400000000000−4i4i000000000000000000−2i2i2i−2i2-2-22000000000000000000
χ554-44-44-4-444-400-4400000000000000000004i−4i000000000000000000000000000000
χ564-44-44-4-444-400-440000000000000000000−4i4i000000000000000000000000000000
χ574-44-44-4-44-44004-40000000000000000000004i−4i0000000000000000000000000000
χ584-44-44-4-44-44004-4000000000000000000000−4i4i0000000000000000000000000000
χ594-44-4-444-444-44-4-44-400400000000-40000000000000000000000000000000000000
χ604-44-4-444-4-4-4-44444-400-40000000040000000000000000000000000000000000000
χ614-4-44-4-444004400-4-4000004i−4i−4i4i0000000000000000000000000000000000000000
χ624-4-44-4-444004400-4-400000−4i4i4i−4i0000000000000000000000000000000000000000
χ634-4-44-4-44400-4-400440000000000004-400000000000000000000000000000000000
χ644-4-44-4-44400-4-40044000000000000-4400000000000000000000000000000000000
χ658-8-8888-8-8000000000000000000000000000000000000000000000000000000000

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