Finite Group Databasebeta

← Group #340636

Character table — Group #340636

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888822448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-111-1-1-1-11111111111-1-11-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-111
χ9111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11-11
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-11-1
χ11111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-11-1-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111111111111-1-1-1-1-1-11
χ172222222222-22-2-2-22-2-20000222200002200-2-222-2-200000000000000000-20000000
χ182222222222-22-2-2-22-2-2000022220000-2-20022-2-2-2-20000000000000000020000000
χ192222222222-22-2-2-22-2-20000-2-2-2-200002200-2-2-2-2220000000000000000020000000
χ202222222222-22-2-2-22-2-20000-2-2-2-20000-2-20022222200000000000000000-20000000
χ2122222222-2-22-2222-2-2-22222000022-2-200-2-20000000000-2-20000000000200000000
χ2222222222-2-22-2222-2-2-222220000-2-22200220000000000-2-20000000000-200000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2000022-2-200220000000000220000000000-200000000
χ2422222222-2-22-2222-2-2-2-2-2-2-20000-2-22200-2-20000000000220000000000200000000
χ2522-22-2-22-222-2-22-22-2-2200000000000000000000002i2i−2i−2i002i2i−2i−2i00002-2000000000
χ2622-22-2-22-222-2-22-22-2-2200000000000000000000002i2i−2i−2i00−2i−2i2i2i0000-22000000000
χ2722-22-2-22-222-2-22-22-2-220000000000000000000000−2i−2i2i2i002i2i−2i−2i0000-22000000000
χ2822-22-2-22-222-2-22-22-2-220000000000000000000000−2i−2i2i2i00−2i−2i2i2i00002-2000000000
χ292-222-2-2-222-202000-20022−2−22i2i−2i−2i00002i−2i00002-200i2−i2i2−i22−20000i2i2−i2−i200002−200000
χ302-222-2-2-222-202000-20022−2−22i2i−2i−2i0000−2i2i0000-2200−i2i2−i2i22−20000i2i2−i2−i20000−2200000
χ312-222-2-2-222-202000-20022−2−2−2i−2i2i2i00002i−2i0000-2200i2−i2i2−i22−20000−i2−i2i2i20000−2200000
χ322-222-2-2-222-202000-20022−2−2−2i−2i2i2i0000−2i2i00002-200−i2i2−i2i22−20000−i2−i2i2i200002−200000
χ332-222-2-2-222-202000-200−2−2222i2i−2i−2i00002i−2i00002-200−i2i2−i2i2−220000−i2−i2i2i20000−2200000
χ342-222-2-2-222-202000-200−2−2222i2i−2i−2i0000−2i2i0000-2200i2−i2i2−i2−220000−i2−i2i2i200002−200000
χ352-222-2-2-222-202000-200−2−222−2i−2i2i2i00002i−2i0000-2200−i2i2−i2i2−220000i2i2−i2−i200002−200000
χ362-222-2-2-222-202000-200−2−222−2i−2i2i2i0000−2i2i00002-200i2−i2i2−i2−220000i2i2−i2−i20000−2200000
χ372-22-22-22-200202-2-20002-22-22−22−2002i−2i002i−2i00002−2000000i2−i2i2−i22−22−2000000i2−i2000
χ382-22-22-22-200202-2-20002-22-22−22−200−2i2i00−2i2i00002−2000000−i2i2−i2i22−22−2000000−i2i2000
χ392-22-22-22-200202-2-20002-22-2−22−22002i−2i002i−2i0000−22000000−i2i2−i2i2−22−22000000−i2i2000
χ402-22-22-22-200202-2-20002-22-2−22−2200−2i2i00−2i2i0000−22000000i2−i2i2−i2−22−22000000i2−i2000
χ412-22-22-22-200202-2-2000-22-222−22−2002i−2i00−2i2i00002−2000000i2−i2i2−i2−22−22000000−i2i2000
χ422-22-22-22-200202-2-2000-22-222−22−200−2i2i002i−2i00002−2000000−i2i2−i2i2−22−22000000i2−i2000
χ432-22-22-22-200202-2-2000-22-22−22−22002i−2i00−2i2i0000−22000000−i2i2−i2i22−22−2000000i2−i2000
χ442-22-22-22-200202-2-2000-22-22−22−2200−2i2i002i−2i0000−22000000i2−i2i2−i22−22−2000000−i2i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-4000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ47444-4-44-4-4000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ48444-4-44-4-40000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ49444-4-44-4-40000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ5044-44-4-44-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ5144-44-4-44-4-4-444-44-44-4400000000000000000000000000000000000000000000000
χ5244-44-4-44-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ534-444-4-4-44-440-40004002222−22−220000000000000000000000−22220000000000000000000
χ544-444-4-4-44-440-4000400−22−222222000000000000000000000022−220000000000000000000
χ554-44-44-44-400-40-444000000022−2222−22000000000000−22220000000000000000000000000
χ564-44-44-44-400-40-4440000000−2222−222200000000000022−220000000000000000000000000
χ574-4-4444-4-44-40-4000400000000000000000000000022−22−2222000000000000000000000
χ584-4-4444-4-44-40-40004000000000000000000000000−222222−22000000000000000000000
χ594-4-4444-4-4-4404000-40000000000000000004i−4i00000000000000000000000000000
χ604-4-4444-4-4-4404000-4000000000000000000−4i4i00000000000000000000000000000
χ614-4-4-4-44440040-4-44000000000004-40000000000000000000000000000000000000
χ624-4-4-4-44440040-4-4400000000000-440000000000000000000000000000000000000
χ634-4-4-4-444400-4044-4000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-4-444400-4044-40000000000000000000000000000000−222222−22000000000000000
χ6588-8-88-8-88000000000000000000000000000000000000000000000000000000000

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