Finite Group Databasebeta

← Group #260335

Character table — Group #260335

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888222244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1111-1-1-1-11-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111111-1-1111-1-1-1-1-111-1-11111-1-1-1-111-1-1111-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11-111-1-111-1-111
χ111111111111111111-1-1-1-111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111111-1-1-1-111
χ121111111111111111-1-1-1-111111-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-11111-11-1-1-1-11111-1-1
χ131111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-11111-1-11111-1-1-1-1-1-111-1-11-111-1-11111-1-1
χ141111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-11111-1-111111-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-111-1-1111111-1-1-1-111-1-111-11-1-1-1-111-1-111
χ161111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-111-1-111-1-1-1-1111111-1-1-1-1-111111-1-111-1-1
χ172222222222-2-222-2-222-2-2-2000022-20000-200222200000000000000-2-20000000000
χ182222222222-2-222-2-222-2-2-2000022-20000-200-2-2-2-200000000000000220000000000
χ192222222222-2-222-2-2-2-222-20000-2-2-2000020022-2-200000000000000-220000000000
χ202222222222-2-222-2-2-2-222-20000-2-2-20000200-2-222000000000000002-20000000000
χ2122222222-2-222-2-2222222-22222-2-2-2-2-2-2-2-222000000000000000000000000000000
χ2222222222-2-222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2000000000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-2-2222222-2-2-2222-2-2000000000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2-2-2-222-222-2-2222000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-220000-2-2200002000000000000002-22-200000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-220000-2-220000200000000000000-22-2200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222200002220000-2000000000000002-2-2200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222200002220000-200000000000000-222-200000000000000
χ2922-222-2-2-200-2-200222-22-202i2i−2i−2i000000002i−2i0000i2i2−i2−i2i2i2−i2−i200000000002−22−20000
χ3022-222-2-2-200-2-200222-22-202i2i−2i−2i000000002i−2i0000−i2−i2i2i2−i2−i2i2i20000000000−22−220000
χ3122-222-2-2-200-2-200222-22-20−2i−2i2i2i00000000−2i2i0000i2i2−i2−i2i2i2−i2−i20000000000−22−220000
χ3222-222-2-2-200-2-200222-22-20−2i−2i2i2i00000000−2i2i0000−i2−i2i2i2−i2−i2i2i200000000002−22−20000
χ3322-222-2-2-200-2-20022-22-2202i2i−2i−2i00000000−2i2i0000i2i2−i2−i2−i2−i2i2i200000000002−2−220000
χ3422-222-2-2-200-2-20022-22-2202i2i−2i−2i00000000−2i2i0000−i2−i2i2i2i2i2−i2−i20000000000−222−20000
χ3522-222-2-2-200-2-20022-22-220−2i−2i2i2i000000002i−2i0000i2i2−i2−i2−i2−i2i2i20000000000−222−20000
χ3622-222-2-2-200-2-20022-22-220−2i−2i2i2i000000002i−2i0000−i2−i2i2i2i2i2−i2−i200000000002−2−220000
χ372-222-22-2-2222-2-2-22-20000-22i−2i2i−2i0022i−2i0000000000000000000002-2000000002i−2i00
χ382-222-22-2-2222-2-2-22-20000-22i−2i2i−2i0022i−2i000000000000000000000-2200000000−2i2i00
χ392-222-22-2-2222-2-2-22-20000-2−2i2i−2i2i002−2i2i0000000000000000000002-200000000−2i2i00
χ402-222-22-2-2222-2-2-22-20000-2−2i2i−2i2i002−2i2i000000000000000000000-22000000002i−2i00
χ412-222-22-2-2-2-22-2222-2000022i−2i2i−2i00-2−2i2i00000000000000000000000002i−2i0000002-2
χ422-222-22-2-2-2-22-2222-2000022i−2i2i−2i00-2−2i2i0000000000000000000000000−2i2i000000-22
χ432-222-22-2-2-2-22-2222-200002−2i2i−2i2i00-22i−2i00000000000000000000000002i−2i000000-22
χ442-222-22-2-2-2-22-2222-200002−2i2i−2i2i00-22i−2i0000000000000000000000000−2i2i0000002-2
χ45444-4-4-4-444-4004-4000000000000000000000004i−4i00000000000000000000000000
χ46444-4-4-4-444-4004-400000000000000000000000−4i4i00000000000000000000000000
χ47444-4-4-4-44-4400-440000000000000000000004i−4i0000000000000000000000000000
χ48444-4-4-4-44-4400-44000000000000000000000−4i4i0000000000000000000000000000
χ4944-444-4-4-4004400-4-44-4-44000000000000000000000000000000000000000000000
χ5044-444-4-4-4004400-4-4-444-4000000000000000000000000000000000000000000000
χ514-444-44-4-444-44-4-4-4400004000000-40000000000000000000000000000000000000
χ524-444-44-4-4-4-4-4444-440000-400000040000000000000000000000000000000000000
χ534-44-44-44-44-400-44000000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ544-44-44-44-44-400-4400000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ554-44-44-44-4-44004-400000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ564-44-44-44-4-44004-40000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ574-4-44-4-444004-400-44000000000000004-4000000000000000000000000000000000
χ584-4-44-4-444004-400-4400000000000000-44000000000000000000000000000000000
χ594-4-44-4-44400-44004-4000004-4-440000000000000000000000000000000000000000
χ604-4-44-4-44400-44004-400000-444-40000000000000000000000000000000000000000
χ614-4-4-444-44000000000000000004-40000000000002-2-222-2-22000000000000000000
χ624-4-4-444-44000000000000000004-4000000000000-222-2-222-2000000000000000000
χ634-4-4-444-4400000000000000000-440000000000002-2-22-222-2000000000000000000
χ644-4-4-444-4400000000000000000-44000000000000-222-22-2-22000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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