Finite Group Databasebeta

← Group #340682

Character table — Group #340682

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888224
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-11111-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111111-11
χ9111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1111111-1
χ11111111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-111-1
χ12111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-1-111
χ172222222222-2-2-222-2-2-20000222200002200-2-2-2-2000000-2-20000000002000000000
χ182222222222-2-2-222-2-2-2000022220000-2-2002222000000-2-2000000000-2000000000
χ192222222222-2-2-222-2-2-20000-2-2-2-200002200-2-22200000022000000000-2000000000
χ202222222222-2-2-222-2-2-20000-2-2-2-20000-2-20022-2-2000000220000000002000000000
χ2122222222-2-2222-2-22-2-22222000022-2-2002200000000-2-20000000000-20000000000
χ2222222222-2-2222-2-22-2-222220000-2-22200-2-200000000-2-2000000000020000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-20000222200-2-200000000220000000000-20000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000-2-2-2-200220000000022000000000020000000000
χ2522-222-2-2-200-2-22002002i2i−2i−2i22−2−22-200002i−2i00000000002−2i2i2−i2−i2i2i2−i2−i200002−200000
χ2622-222-2-2-200-2-22002002i2i−2i−2i22−2−2-220000−2i2i00000000002−2−i2−i2i2i2i2i2−i2−i20000−2200000
χ2722-222-2-2-200-2-22002002i2i−2i−2i−2−2222-200002i−2i0000000000−22−i2−i2i2i2−i2−i2i2i20000−2200000
χ2822-222-2-2-200-2-22002002i2i−2i−2i−2−222-220000−2i2i0000000000−22i2i2−i2−i2−i2−i2i2i200002−200000
χ2922-222-2-2-200-2-2200200−2i−2i2i2i22−2−22-20000−2i2i00000000002−2−i2−i2i2i2−i2−i2i2i200002−200000
χ3022-222-2-2-200-2-2200200−2i−2i2i2i22−2−2-2200002i−2i00000000002−2i2i2−i2−i2−i2−i2i2i20000−2200000
χ3122-222-2-2-200-2-2200200−2i−2i2i2i−2−2222-20000−2i2i0000000000−22i2i2−i2−i2i2i2−i2−i20000−2200000
χ3222-222-2-2-200-2-2200200−2i−2i2i2i−2−222-2200002i−2i0000000000−22−i2−i2i2i2i2i2−i2−i200002−200000
χ332-222-22-2-22-20002-2000i2−i2i2−i22-22-2000000002i−2i2i−2i22−2−2i2−i2000000i2−i2i2−i20000002−2000
χ342-222-22-2-22-20002-2000i2−i2i2−i22-22-200000000−2i2i−2i2i−2−222i2−i2000000i2−i2i2−i2000000−22000
χ352-222-22-2-22-20002-2000i2−i2i2−i2-22-22000000002i−2i−2i2i22−2−2i2−i2000000−i2i2−i2i2000000−22000
χ362-222-22-2-22-20002-2000i2−i2i2−i2-22-2200000000−2i2i2i−2i−2−222i2−i2000000−i2i2−i2i20000002−2000
χ372-222-22-2-22-20002-2000−i2i2−i2i22-22-2000000002i−2i2i−2i−2−222−i2i2000000−i2i2−i2i2000000−22000
χ382-222-22-2-22-20002-2000−i2i2−i2i22-22-200000000−2i2i−2i2i22−2−2−i2i2000000−i2i2−i2i20000002−2000
χ392-222-22-2-22-20002-2000−i2i2−i2i2-22-22000000002i−2i−2i2i−2−222−i2i2000000i2−i2i2−i20000002−2000
χ402-222-22-2-22-20002-2000−i2i2−i2i2-22-2200000000−2i2i2i−2i22−2−2−i2i2000000i2−i2i2−i2000000−22000
χ412-22-22-22-222-22-2-2-22-22000000000000000000002i−2i2i−2i00002i−2i2i−2i0000002-20000000
χ422-22-22-22-222-22-2-2-22-22000000000000000000002i−2i2i−2i0000−2i2i−2i2i000000-220000000
χ432-22-22-22-222-22-2-2-22-2200000000000000000000−2i2i−2i2i00002i−2i2i−2i000000-220000000
χ442-22-22-22-222-22-2-2-22-2200000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000002-20000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-4-444-4000-44000000000000000000000002i2−2i2−2i22i200000000000000000000000
χ47444-4-4-4-444-4000-4400000000000000000000000−2i22i22i2−2i200000000000000000000000
χ48444-4-4-4-44-440004-40000000000000004i−4i000000000000000000000000000000000
χ49444-4-4-4-44-440004-4000000000000000−4i4i000000000000000000000000000000000
χ5044-444-4-4-40044-400-40000002222−22−22000000000000000000−22220000000000000000000
χ5144-444-4-4-40044-400-4000000−22−22222200000000000000000022−220000000000000000000
χ524-444-44-4-4-44000-440002i2−2i22i2−2i200000000000000000000−2i22i2000000000000000000000
χ534-444-44-4-4-44000-44000−2i22i2−2i22i2000000000000000000002i2−2i2000000000000000000000
χ544-44-44-44-4444-44-4-4-44-400000000000000000000000000000000000000000000000
χ554-44-44-44-4-4-44-4444-4-4400000000000000000000000000000000000000000000000
χ564-44-44-44-4-4-4-44-44444-400000000000000000000000000000000000000000000000
χ574-4-44-4-444000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ584-4-44-4-444000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ594-4-44-4-4440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ604-4-44-4-4440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ614-4-4-444-44004-4-400400000000000000000000000000000022−22−2222000000000000000
χ624-4-4-444-44004-4-4004000000000000000000000000000000−222222−22000000000000000
χ634-4-4-444-4400-44400-40000000000004-400000000000000000000000000000000000
χ644-4-4-444-4400-44400-4000000000000-4400000000000000000000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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