Finite Group Databasebeta

← Group #336803

Character table — Group #336803

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-111-1-1-1-11111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-111-111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-11
χ9111111111111111111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ11111111111111111111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-1-111-1-1-111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1111111111111-1-1-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-111
χ172222222222-22-2-2-22-2-22222000022-2-200000022000000-2-200000000-20000000000
χ182222222222-22-2-2-22-2-222220000-2-222000000-2-2000000-2-20000000020000000000
χ192222222222-22-2-2-22-2-2-2-2-2-200002222000000-2-20000002200000000-20000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-2-2-200000022000000220000000020000000000
χ2122222222-2-22-2222-2-2-200002222000022-2-2-2-200-2-20000000000000000020000000
χ2222222222-2-22-2222-2-2-2000022220000-2-2222200-2-200000000000000000-20000000
χ2322222222-2-22-2222-2-2-20000-2-2-2-2000022-2-222002200000000000000000-20000000
χ2422222222-2-22-2222-2-2-20000-2-2-2-20000-2-222-2-200220000000000000000020000000
χ25222-22-2-2-22-20-20002002i2i−2i−2i22−2−22-2000000002i−2i2−2i2i2−i2−i2000000i2i2−i2−i200002−200000
χ26222-22-2-2-22-20-20002002i2i−2i−2i22−2−2-2200000000−2i2i2−2−i2−i2i2i2000000i2i2−i2−i20000−2200000
χ27222-22-2-2-22-20-20002002i2i−2i−2i−2−2222-2000000002i−2i−22−i2−i2i2i2000000−i2−i2i2i20000−2200000
χ28222-22-2-2-22-20-20002002i2i−2i−2i−2−222-2200000000−2i2i−22i2i2−i2−i2000000−i2−i2i2i200002−200000
χ29222-22-2-2-22-20-2000200−2i−2i2i2i22−2−22-200000000−2i2i2−2−i2−i2i2i2000000−i2−i2i2i200002−200000
χ30222-22-2-2-22-20-2000200−2i−2i2i2i22−2−2-22000000002i−2i2−2i2i2−i2−i2000000−i2−i2i2i20000−2200000
χ31222-22-2-2-22-20-2000200−2i−2i2i2i−2−2222-200000000−2i2i−22i2i2−i2−i2000000i2i2−i2−i20000−2200000
χ32222-22-2-2-22-20-2000200−2i−2i2i2i−2−222-22000000002i−2i−22−i2−i2i2i2000000i2i2−i2−i200002−200000
χ3322-22-22-2-2-2-2-2222-222-200000000000000000000002i−2i2i−2i0022-2-2000002i−2i00000000
χ3422-22-22-2-2-2-2-2222-222-200000000000000000000002i−2i2i−2i00-2-22200000−2i2i00000000
χ3522-22-22-2-2-2-2-2222-222-20000000000000000000000−2i2i−2i2i0022-2-200000−2i2i00000000
χ3622-22-22-2-2-2-2-2222-222-20000000000000000000000−2i2i−2i2i00-2-222000002i−2i00000000
χ372-22-2-22-2200202-2-20002−22−22i−2i2i−2i0000002-22i−2i000000002−22−22−2i2−i2i2−i2000000i2−i2000
χ382-22-2-22-2200202-2-20002−22−22i−2i2i−2i000000-22−2i2i000000002−2−22−22i2−i2i2−i2000000−i2i2000
χ392-22-2-22-2200202-2-20002−22−2−2i2i−2i2i0000002-2−2i2i000000002−22−22−2−i2i2−i2i2000000−i2i2000
χ402-22-2-22-2200202-2-20002−22−2−2i2i−2i2i000000-222i−2i000000002−2−22−22−i2i2−i2i2000000i2−i2000
χ412-22-2-22-2200202-2-2000−22−222i−2i2i−2i0000002-22i−2i00000000−22−22−22−i2i2−i2i2000000−i2i2000
χ422-22-2-22-2200202-2-2000−22−222i−2i2i−2i000000-22−2i2i00000000−222−22−2−i2i2−i2i2000000i2−i2000
χ432-22-2-22-2200202-2-2000−22−22−2i2i−2i2i0000002-2−2i2i00000000−22−22−22i2−i2i2−i2000000i2−i2000
χ442-22-2-22-2200202-2-2000−22−22−2i2i−2i2i000000-222i−2i00000000−222−22−2i2−i2i2−i2000000−i2i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-4-4404000-40000002222−22−22000000000000−22220000000000000000000000000
χ47444-44-4-4-4-4404000-4000000−22−22222200000000000022−220000000000000000000000000
χ4844-44-44-4-4444-4-4-44-44-400000000000000000000000000000000000000000000000
χ4944-44-44-4-444-4-444-4-4-4400000000000000000000000000000000000000000000000
χ5044-44-44-4-4-4-444-4-444-4400000000000000000000000000000000000000000000000
χ5144-4-4-4-4444-404000-40000000000004i−4i00000000000000000000000000000000000
χ5244-4-4-4-4444-404000-4000000000000−4i4i00000000000000000000000000000000000
χ5344-4-4-4-444-440-4000400000000000000000000000022−22−2222000000000000000000000
χ5444-4-4-4-444-440-40004000000000000000000000000−222222−22000000000000000000000
χ554-444-4-44-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ564-444-4-44-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ574-444-4-44-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ584-444-4-44-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ594-44-4-44-4400-40-44400022−2222−220000000000000000000000−22220000000000000000000
χ604-44-4-44-4400-40-444000−2222−2222000000000000000000000022−220000000000000000000
χ614-4-4-4444-40040-44-40000000000000004i−4i000000000000000000000000000000000
χ624-4-4-4444-40040-44-4000000000000000−4i4i000000000000000000000000000000000
χ634-4-4-4444-400-404-44000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-4444-400-404-440000000000000000000000000000000−222222−22000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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