Finite Group Databasebeta

← Group #276170

Character table — Group #276170

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1111111-1-1
χ91111111111111111-1-1-1-111-1-11111-1111111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111-1-11-1
χ101111111111111111-1-1-1-111-1-11111-1111111-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-111-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-11111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-11-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-2-2-2220000-222-2-200000000000000000020000-200000000
χ1822222222222-2-2-2-2222-2-2-2-2220000-2-2-222000000000000000000-20000200000000
χ1922222222222-2-2-2-22-2-222-2-2-2-20000222-2-2000000000000000000-20000200000000
χ2022222222222-2-2-2-22-2-222-2-2-2-200002-2-22200000000000000000020000-200000000
χ2122222222-2-2-22222-22222-2-2-2-22222-20000-2-222-2-200000000000000000000000000
χ2222222222-2-2-22222-22222-2-2-2-2-2-2-2-2-2000022-2-22200000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-222222220000-2-2-2-22200000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-222-2-2-2-2200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-20000200000000002i2i−2i−2i000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-2000020000000000−2i−2i2i2i00000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000-200000000002i2i−2i−2i00000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000-20000000000−2i−2i2i2i000000000000002i−2i000000
χ2922-2-22-2-2200022-2-202i−2i2i−2i000022-2-200000002i−2i00000022−2−2i2i2−i2−i2000000002−2i2−i200
χ3022-2-22-2-2200022-2-202i−2i2i−2i000022-2-200000002i−2i000000−2−222−i2−i2i2i200000000−22−i2i200
χ3122-2-22-2-2200022-2-202i−2i2i−2i0000-2-2220000000−2i2i00000022−2−2i2i2−i2−i200000000−22−i2i200
χ3222-2-22-2-2200022-2-202i−2i2i−2i0000-2-2220000000−2i2i000000−2−222−i2−i2i2i2000000002−2i2−i200
χ3322-2-22-2-2200022-2-20−2i2i−2i2i000022-2-20000000−2i2i00000022−2−2−i2−i2i2i2000000002−2−i2i200
χ3422-2-22-2-2200022-2-20−2i2i−2i2i000022-2-20000000−2i2i000000−2−222i2i2−i2−i200000000−22i2−i200
χ3522-2-22-2-2200022-2-20−2i2i−2i2i0000-2-22200000002i−2i00000022−2−2−i2−i2i2i200000000−22i2−i200
χ3622-2-22-2-2200022-2-20−2i2i−2i2i0000-2-22200000002i−2i000000−2−222i2i2−i2−i2000000002−2−i2i200
χ372-2-2-2-222222-22-22-2-200002-200000002i−2i2i−2i00000000002i−2i2i−2i000002-200000000000
χ382-2-2-2-222222-22-22-2-200002-200000002i−2i2i−2i0000000000−2i2i−2i2i00000-2200000000000
χ392-2-2-2-222222-22-22-2-200002-20000000−2i2i−2i2i00000000002i−2i2i−2i00000-2200000000000
χ402-2-2-2-222222-22-22-2-200002-20000000−2i2i−2i2i0000000000−2i2i−2i2i000002-200000000000
χ412-2-2-2-222222-2-22-22-20000-2200000002i−2i−2i2i000000000000002-22-20002i−2i000000000
χ422-2-2-2-222222-2-22-22-20000-2200000002i−2i−2i2i00000000000000-22-22000−2i2i000000000
χ432-2-2-2-222222-2-22-22-20000-220000000−2i2i2i−2i000000000000002-22-2000−2i2i000000000
χ442-2-2-2-222222-2-22-22-20000-220000000−2i2i2i−2i00000000000000-22-220002i−2i000000000
χ45444-4-44-4-44-440000-40000000000000000000000022−2222−220000000000000000000000
χ46444-4-44-4-44-440000-400000000000000000000000−2222−22220000000000000000000000
χ47444-4-44-4-4-44-400004000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ48444-4-44-4-4-44-40000400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ4944-4-44-4-44000-4-44404i−4i−4i4i000000000000000000000000000000000000000000000
χ5044-4-44-4-44000-4-4440−4i4i4i−4i000000000000000000000000000000000000000000000
χ514-444-4-4-440004-4-4400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ524-444-4-4-440004-4-440000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-444-4-4-44000-444-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ544-444-4-4-44000-444-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ554-44-44-44-4000000000000004-42i2−2i22i2−2i20000000002i2−2i200000000000000000000000000
χ564-44-44-44-4000000000000004-4−2i22i2−2i22i2000000000−2i22i200000000000000000000000000
χ574-44-44-44-400000000000000-442i2−2i22i2−2i2000000000−2i22i200000000000000000000000000
χ584-44-44-44-400000000000000-44−2i22i2−2i22i20000000002i2−2i200000000000000000000000000
χ594-4-4444-4-44-4-400004000000002i2−2i2−2i22i2000002i2−2i2000000000000000000000000000000
χ604-4-4444-4-44-4-40000400000000−2i22i22i2−2i200000−2i22i2000000000000000000000000000000
χ614-4-4444-4-4-4440000-4000000002i2−2i2−2i22i200000−2i22i2000000000000000000000000000000
χ624-4-4444-4-4-4440000-400000000−2i22i22i2−2i2000002i2−2i2000000000000000000000000000000
χ634-4-4-4-4444-4-444-44-440000-440000000000000000000000000000000000000000000
χ644-4-4-4-4444-4-44-44-44400004-40000000000000000000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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