Finite Group Databasebeta

← Group #335659

Character table — Group #335659

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-111
χ61111111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-111-111-1-11-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ9111111111111111111-1-1-1-1111111-1-11111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-111-1-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-11-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ172222222222-2-2-222-2-2-22222000022220000-2-20000-2-2000000000000000-20000000
χ182222222222-2-2-222-2-2-222220000-2-2-2-20000220000-2-200000000000000020000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000022-2-20000-2-200002200000000000000020000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-222000022000022000000000000000-20000000
χ2122222222-2-2222-2-22-2-2000022220000222200-2-2-2-200000000000000-20000000000
χ2222222222-2-2222-2-22-2-2000022220000-2-2-2-20022-2-20000000000000020000000000
χ2322222222-2-2222-2-22-2-20000-2-2-2-2000022-2-200-2-2220000000000000020000000000
χ2422222222-2-2222-2-22-2-20000-2-2-2-20000-2-22200222200000000000000-20000000000
χ25222-2-2-22-200-2-220020022−2−222-2-200002i−2i2i−2i0000002−20000i2i2−i2−i222−2−2000000i2−i2000
χ26222-2-2-22-200-2-220020022−2−222-2-20000−2i2i−2i2i0000002−20000−i2−i2i2i222−2−2000000−i2i2000
χ27222-2-2-22-200-2-220020022−2−2-2-22200002i−2i−2i2i0000002−20000i2i2−i2−i2−2−222000000−i2i2000
χ28222-2-2-22-200-2-220020022−2−2-2-2220000−2i2i2i−2i0000002−20000−i2−i2i2i2−2−222000000i2−i2000
χ29222-2-2-22-200-2-2200200−2−22222-2-200002i−2i2i−2i000000−220000−i2−i2i2i2−2−222000000−i2i2000
χ30222-2-2-22-200-2-2200200−2−22222-2-20000−2i2i−2i2i000000−220000i2i2−i2−i2−2−222000000i2−i2000
χ31222-2-2-22-200-2-2200200−2−222-2-22200002i−2i−2i2i000000−220000−i2−i2i2i222−2−2000000i2−i2000
χ32222-2-2-22-200-2-2200200−2−222-2-2220000−2i2i2i−2i000000−220000i2i2−i2−i222−2−2000000−i2i2000
χ332-22-222-2-22-20002-20002-22-2i2−i2i2−i22-22-200000000i2−i200i2i2−i2−i20000i2−i2i2−i20000i2−i200000
χ342-22-222-2-22-20002-20002-22-2i2−i2i2−i2-22-2200000000i2−i200−i2−i2i2i20000i2−i2i2−i20000−i2i200000
χ352-22-222-2-22-20002-20002-22-2−i2i2−i2i22-22-200000000−i2i200−i2−i2i2i20000−i2i2−i2i20000−i2i200000
χ362-22-222-2-22-20002-20002-22-2−i2i2−i2i2-22-2200000000−i2i200i2i2−i2−i20000−i2i2−i2i20000i2−i200000
χ372-22-222-2-22-20002-2000-22-22i2−i2i2−i22-2-2200000000i2−i200i2i2−i2−i20000−i2i2−i2i20000−i2i200000
χ382-22-222-2-22-20002-2000-22-22i2−i2i2−i2-222-200000000i2−i200−i2−i2i2i20000−i2i2−i2i20000i2−i200000
χ392-22-222-2-22-20002-2000-22-22−i2i2−i2i22-2-2200000000−i2i200−i2−i2i2i20000i2−i2i2−i20000i2−i200000
χ402-22-222-2-22-20002-2000-22-22−i2i2−i2i2-222-200000000−i2i200i2i2−i2−i20000i2−i2i2−i20000−i2i200000
χ412-2-222-22-222-22-2-2-22-220000000000000000000000002-22-22i−2i2i−2i000002i−2i00000000
χ422-2-222-22-222-22-2-2-22-220000000000000000000000002-22-2−2i2i−2i2i00000−2i2i00000000
χ432-2-222-22-222-22-2-2-22-22000000000000000000000000-22-222i−2i2i−2i00000−2i2i00000000
χ442-2-222-22-222-22-2-2-22-22000000000000000000000000-22-22−2i2i−2i2i000002i−2i00000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-40044-400-4002222−22−22000000000000000000−222200000000000000000000000
χ47444-4-4-44-40044-400-400−22−22222200000000000000000022−2200000000000000000000000
χ4844-4-44-4-444-4000-440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ4944-4-44-4-444-4000-44000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5044-4-44-4-44-440004-400000000000000000004i−4i00000000000000000000000000000
χ5144-4-44-4-44-440004-40000000000000000000−4i4i00000000000000000000000000000
χ524-444-4-4-44000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ534-444-4-4-44000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ544-444-4-4-440000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ554-444-4-4-440000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ564-44-444-4-4-44000-4400000002i2−2i22i2−2i2000000000000−2i22i20000000000000000000000000
χ574-44-444-4-4-44000-440000000−2i22i2−2i22i20000000000002i2−2i20000000000000000000000000
χ584-4-444-44-4444-44-4-4-44-400000000000000000000000000000000000000000000000
χ594-4-444-44-4-4-44-4444-4-4400000000000000000000000000000000000000000000000
χ604-4-444-44-4-4-4-44-44444-400000000000000000000000000000000000000000000000
χ614-4-4-4-4444004-4-400400000000000000000000000000000022−22−2222000000000000000
χ624-4-4-4-4444004-4-4004000000000000000000000000000000−222222−22000000000000000
χ634-4-4-4-444400-44400-4000000000000000000004-4000000000000000000000000000
χ644-4-4-4-444400-44400-400000000000000000000-44000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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