Finite Group Databasebeta

← Group #295937

Character table — Group #295937

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222444444444444444444444444444444488888888888888888888888824444444
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ311111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ5111111111111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ9111111111111-1-1-1-111111-1-1-1-11-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11-11-1
χ10111111111111-1-1-1-111111-1-1-1-11-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-11-1-11
χ11111111111111-1-1-1-111111-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-11-11
χ12111111111111-1-1-1-111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-111-1
χ13111111111111-1-1-1-111111-1-1-1-11-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-11
χ14111111111111-1-1-1-111111-1-1-1-11-1-1-1111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-111-1
χ15111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-11-1
χ16111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1111-1-11
χ172222222222-2-2222222-2-2-2-2-222-2-2220000220000000000000000000000000000-2-2000000
χ182222222222-2-2222222-2-2-2-2-222-2-2-2-20000-2-2000000000000000000000000000022000000
χ192222222222-2-2-2-2-2-222-2-2-222-2-2-22220000-2-200000000000000000000000000002-2000000
χ202222222222-2-2-2-2-2-222-2-2-222-2-2-22-2-20000220000000000000000000000000000-22000000
χ2122222222-2-2222222-2-222-222-2-2-2-20000000022220000000000000000000000000000-2-200
χ2222222222-2-2222222-2-222-222-2-2-2-200000000-2-2-2-200000000000000000000000000002200
χ2322222222-2-222-2-2-2-2-2-222-2-2-222-220000000022-2-20000000000000000000000000000-2200
χ2422222222-2-222-2-2-2-2-2-222-2-2-222-2200000000-2-22200000000000000000000000000002-200
χ2522222222-2-2-2-22222-2-2-2-22-2-2-2-2220022-2-2000000000000000000000000000000002-20000
χ2622222222-2-2-2-22222-2-2-2-22-2-2-2-22200-2-22200000000000000000000000000000000-220000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20022-2-200000000000000000000000000000000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200-2-222000000000000000000000000000000002-20000
χ2922-2-2-222-2002-22i2i−2i−2i002-202i−2i0000000000002-22i−2i00000000i2i2−i2−i222−2−2i2i2−i2−i222−2−200000000
χ3022-2-2-222-2002-22i2i−2i−2i002-202i−2i0000000000002-22i−2i00000000−i2−i2i2i2−2−222−i2−i2i2i2−2−22200000000
χ3122-2-2-222-2002-22i2i−2i−2i002-202i−2i000000000000-22−2i2i00000000i2i2−i2−i222−2−2−i2−i2i2i2−2−22200000000
χ3222-2-2-222-2002-22i2i−2i−2i002-202i−2i000000000000-22−2i2i00000000−i2−i2i2i2−2−222i2i2−i2−i222−2−200000000
χ3322-2-2-222-2002-2−2i−2i2i2i002-20−2i2i0000000000002-2−2i2i00000000i2i2−i2−i2−2−222i2i2−i2−i2−2−22200000000
χ3422-2-2-222-2002-2−2i−2i2i2i002-20−2i2i0000000000002-2−2i2i00000000−i2−i2i2i222−2−2−i2−i2i2i222−2−200000000
χ3522-2-2-222-2002-2−2i−2i2i2i002-20−2i2i000000000000-222i−2i00000000i2i2−i2−i2−2−222−i2−i2i2i222−2−200000000
χ3622-2-2-222-2002-2−2i−2i2i2i002-20−2i2i000000000000-222i−2i00000000−i2−i2i2i222−2−2i2i2−i2−i2−2−22200000000
χ372-222-22-2-22-22-200002-2-22-2000020002i−2i2i−2i000000000022-2-200002i−2i2i−2i0000000000000000
χ382-222-22-2-22-22-200002-2-22-2000020002i−2i2i−2i0000000000-2-2220000−2i2i−2i2i0000000000000000
χ392-222-22-2-22-22-200002-2-22-200002000−2i2i−2i2i000000000022-2-20000−2i2i−2i2i0000000000000000
χ402-222-22-2-22-22-200002-2-22-200002000−2i2i−2i2i0000000000-2-22200002i−2i2i−2i0000000000000000
χ412-222-22-2-2-22-220000-222-2-2000020002i−2i−2i2i00000022-2-200002i−2i2i−2i00000000000000000000
χ422-222-22-2-2-22-220000-222-2-2000020002i−2i−2i2i000000-2-2220000−2i2i−2i2i00000000000000000000
χ432-222-22-2-2-22-220000-222-2-200002000−2i2i2i−2i00000022-2-20000−2i2i−2i2i00000000000000000000
χ442-222-22-2-2-22-220000-222-2-200002000−2i2i2i−2i000000-2-22200002i−2i2i−2i00000000000000000000
χ452-22-2-2-22222002-22-2-2-2000002-2002i−2i00002i−2i00002−22−22−22−200000000i2−i2i2−i2i2−i2i2−i200000000
χ462-22-2-2-22222002-22-2-2-2000002-2002i−2i00002i−2i0000−22−22−22−2200000000−i2i2−i2i2−i2i2−i2i200000000
χ472-22-2-2-22222002-22-2-2-2000002-200−2i2i0000−2i2i00002−22−22−22−200000000−i2i2−i2i2−i2i2−i2i200000000
χ482-22-2-2-22222002-22-2-2-2000002-200−2i2i0000−2i2i0000−22−22−22−2200000000i2−i2i2−i2i2−i2i2−i200000000
χ492-22-2-2-2222200-22-22-2-200000-22002i−2i0000−2i2i00002−22−2−22−2200000000i2−i2i2−i2−i2i2−i2i200000000
χ502-22-2-2-2222200-22-22-2-200000-22002i−2i0000−2i2i0000−22−222−22−200000000−i2i2−i2i2i2−i2i2−i200000000
χ512-22-2-2-2222200-22-22-2-200000-2200−2i2i00002i−2i00002−22−2−22−2200000000−i2i2−i2i2i2−i2i2−i200000000
χ522-22-2-2-2222200-22-22-2-200000-2200−2i2i00002i−2i0000−22−222−22−200000000i2−i2i2−i2−i2i2−i2i200000000
χ53444-44-4-4-44-4000000-44000000000000000000000000022−22−2222000000000000000000000000
χ54444-44-4-4-44-4000000-440000000000000000000000000−222222−22000000000000000000000000
χ55444-44-4-4-4-440000004-400000000000000000000022−22−22220000000000000000000000000000
χ56444-44-4-4-4-440000004-4000000000000000000000−222222−220000000000000000000000000000
χ5744-4-4-444-400-444i4i−4i−4i00-440−4i4i000000000000000000000000000000000000000000000000
χ5844-4-4-444-400-44−4i−4i4i4i00-4404i−4i000000000000000000000000000000000000000000000000
χ594-444-44-4-44-4-4400004-44-440000-4000000000000000000000000000000000000000000000
χ604-444-44-4-4-444-40000-44-4440000-4000000000000000000000000000000000000000000000
χ614-44-4-4-444-4-4004-44-44400000-440000000000000000000000000000000000000000000000
χ624-44-4-4-444-4-400-44-4444000004-40000000000000000000000000000000000000000000000
χ634-4-444-44-400004i−4i−4i4i0000000000000000000000000000000000000002-2-22−2i2i2i−2i00000000
χ644-4-444-44-400004i−4i−4i4i000000000000000000000000000000000000000-222-22i−2i−2i2i00000000
χ654-4-444-44-40000−4i4i4i−4i0000000000000000000000000000000000000002-2-222i−2i−2i2i00000000
χ664-4-444-44-40000−4i4i4i−4i000000000000000000000000000000000000000-222-2−2i2i2i−2i00000000
χ674-4-4-444-440044000000-4-400000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ684-4-4-444-440044000000-4-40000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ694-4-4-444-4400-4-40000004400000000000000000000000000022−22−222200000000000000000000
χ704-4-4-444-4400-4-400000044000000000000000000000000000−222222−2200000000000000000000
χ7188-88-8-8-88000000000000000000000000000000000000000000000000000000000000000

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