Finite Group Databasebeta

← Group #296015

Character table — Group #296015

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444422444444444448888888888888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1
χ5111111111111111111111111-1-1111-1-111-1-1-1-11111111111111111-11-1-1-11-1-1-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111
χ7111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ8111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-111
χ91111111111111111-1-11-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11-1
χ101111111111111111-1-11-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-11
χ111111111111111111-1-11-1-1-1-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111-1
χ121111111111111111-1-11-1-1-1-1111-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-11
χ131111111111111111-1-11-1-1-1-11-1-1-11111-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-11-1-111-11
χ141111111111111111-1-11-1-1-1-11-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1111-1-11-1
χ151111111111111111-1-11-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-111-1-1-11
χ161111111111111111-1-11-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-1-1111-1
χ172222222222-2-222-2-222-222-2-2-222-200-2-2000000000000000000000020-2000000000
χ182222222222-2-222-2-222-222-2-2-2-2-2-200220000000000000000000000-202000000000
χ192222222222-2-222-2-2-2-2-2-2-222-222200220000000000000000000000-20-2000000000
χ202222222222-2-222-2-2-2-2-2-2-222-2-2-2200-2-20000000000000000000000202000000000
χ2122222222-2-222-2-22222-2-2-222-200-2220022000000000000000000000-2000-2000000
χ2222222222-2-222-2-22222-2-2-222-200-2-2-200-2-200000000000000000000020002000000
χ2322222222-2-222-2-222-2-2-222-2-2-20022200-2-20000000000000000000002000-2000000
χ2422222222-2-222-2-222-2-2-222-2-2-2002-2-20022000000000000000000000-20002000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-2200200000022-2-200000000000000000002-20000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-22002000000-2-2220000000000000000000-220000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222200-200000022-2-20000000000000000000-220000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222200-2000000-2-22200000000000000000002-20000000
χ2922-2-222-2-22-22-22-22-200-2000020000000002i−2i2i−2i00002i2i−2i−2i000000000000002-20000
χ3022-2-222-2-22-22-22-22-200-2000020000000002i−2i2i−2i0000−2i−2i2i2i00000000000000-220000
χ3122-2-222-2-22-22-22-22-200-200002000000000−2i2i−2i2i00002i2i−2i−2i00000000000000-220000
χ3222-2-222-2-22-22-22-22-200-200002000000000−2i2i−2i2i0000−2i−2i2i2i000000000000002-20000
χ3322-2-222-2-2-22-22-22-2200-2000020000000002i−2i−2i2i2i2i−2i−2i000000000000000000002-200
χ3422-2-222-2-2-22-22-22-2200-2000020000000002i−2i−2i2i−2i−2i2i2i00000000000000000000-2200
χ3522-2-222-2-2-22-22-22-2200-200002000000000−2i2i2i−2i2i2i−2i−2i00000000000000000000-2200
χ3622-2-222-2-2-22-22-22-2200-200002000000000−2i2i2i−2i−2i−2i2i2i000000000000000000002-200
χ372-22-22-2-22002200-2-22-20002-200002i−2i002i−2i00002−22−22−22−2i2i2−i2−i2i2i2−i2−i2000000000000
χ382-22-22-2-22002200-2-22-20002-200002i−2i002i−2i0000−22−22−22−22−i2−i2i2i2−i2−i2i2i2000000000000
χ392-22-22-2-22002200-2-22-20002-20000−2i2i00−2i2i00002−22−22−22−2−i2−i2i2i2−i2−i2i2i2000000000000
χ402-22-22-2-22002200-2-22-20002-20000−2i2i00−2i2i0000−22−22−22−22i2i2−i2−i2i2i2−i2−i2000000000000
χ412-22-22-2-22002200-2-2-22000-2200002i−2i00−2i2i00002−22−2−22−22i2i2−i2−i2−i2−i2i2i2000000000000
χ422-22-22-2-22002200-2-2-22000-2200002i−2i00−2i2i0000−22−222−22−2−i2−i2i2i2i2i2−i2−i2000000000000
χ432-22-22-2-22002200-2-2-22000-220000−2i2i002i−2i00002−22−2−22−22−i2−i2i2i2i2i2−i2−i2000000000000
χ442-22-22-2-22002200-2-2-22000-220000−2i2i002i−2i0000−22−222−22−2i2i2−i2−i2−i2−i2i2i2000000000000
χ45444-4-4-44-44400-4-400000000004-4000000000000000000000000000000000000000
χ46444-4-4-44-44400-4-40000000000-44000000000000000000000000000000000000000
χ47444-4-4-44-4-4-400440000000000000004i−4i0000000000000000000000000000000000
χ48444-4-4-44-4-4-40044000000000000000−4i4i0000000000000000000000000000000000
χ4944-44-4-4-444-400-4400000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ5044-44-4-4-444-400-440000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ5144-44-4-4-44-44004-4000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ5244-44-4-4-44-44004-400000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ5344-4-444-4-44-4-444-4-440040000-400000000000000000000000000000000000000000
χ5444-4-444-4-4-444-4-444-40040000-400000000000000000000000000000000000000000
χ554-44-44-4-4400-4-400444-4000-44000000000000000000000000000000000000000000
χ564-44-44-4-4400-4-40044-440004-4000000000000000000000000000000000000000000
χ574-4-444-44-4004-400-4400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ584-4-444-44-4004-400-440000000000000000000000000−2i22i22i2−2i200000000000000000000
χ594-4-444-44-400-44004-40000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ604-4-444-44-400-44004-4000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ614-4-4-4-4444000000000004-40000000000000000000000002-2-222-2-22000000000000
χ624-4-4-4-4444000000000004-4000000000000000000000000-222-2-222-2000000000000
χ634-4-4-4-444400000000000-440000000000000000000000002-2-22-222-2000000000000
χ644-4-4-4-444400000000000-44000000000000000000000000-222-22-2-22000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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