Finite Group Databasebeta

← Group #343514

Character table — Group #343514

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111-11-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-11-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1111-1-1-1-1-1-111-11
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1111111-1-1-11
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-111111-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-1111-1-11-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-111-111-1-1-1-1-1-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1-11111-1-111-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-11111111-1-1-1-111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11-1-1-1-111111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1111111-1-1-11111-1-1-1-1
χ17222222222-22-22-22-2-2-2000022220000-2-2-2-200000000000022-2-2-202000000000000000
χ18222222222-22-22-22-2-2-2000022220000-2-2-2-2000000000000-2-22220-2000000000000000
χ19222222222-22-22-22-2-2-20000-2-2-2-2000022220000000000002222-20-2000000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-200002222000000000000-2-2-2-2202000000000000000
χ2122222222-22-22-22-22-2-222220000-2-2-2-2000000000000222200000-200000-20000000000
χ2222222222-22-22-22-22-2-222220000-2-2-2-2000000000000-2-2-2-20000020000020000000000
χ2322222222-22-22-22-22-2-2-2-2-2-20000222200000000000022-2-200000200000-20000000000
χ2422222222-22-22-22-22-2-2-2-2-2-200002222000000000000-2-22200000-20000020000000000
χ252222-2-2-2-202020-20-20022-2-222−2−2000022−2−22222−2−2−2−22-22-20000000000002−2002−20000
χ262222-2-2-2-202020-20-20022-2-222−2−2000022−2−22222−2−2−2−2-22-22000000000000−2200−220000
χ272222-2-2-2-202020-20-20022-2-2−2−2220000−2−222−2−2−2−222222-22-2000000000000−2200−220000
χ282222-2-2-2-202020-20-20022-2-2−2−2220000−2−222−2−2−2−22222-22-220000000000002−2002−20000
χ292222-2-2-2-202020-20-200-2-22222−2−2000022−2−2−2−2−2−222222-2-22000000000000−22002−20000
χ302222-2-2-2-202020-20-200-2-22222−2−2000022−2−2−2−2−2−22222-222-20000000000002−200−220000
χ312222-2-2-2-202020-20-200-2-222−2−2220000−2−2222222−2−2−2−22-2-220000000000002−200−220000
χ322222-2-2-2-202020-20-200-2-222−2−2220000−2−2222222−2−2−2−2-222-2000000000000−22002−20000
χ332-22-22-2-22-202020-2000i2−i2i2−i20000i2i2−i2−i22i−2i2i−2i22−2−222−2−200002i−2i2-200000000002−200i2−i200
χ342-22-22-2-22-202020-2000i2−i2i2−i20000i2i2−i2−i22i−2i2i−2i22−2−222−2−20000−2i2i-220000000000−2200−i2i200
χ352-22-22-2-22-202020-2000i2−i2i2−i20000i2i2−i2−i2−2i2i−2i2i−2−222−2−22200002i−2i-2200000000002−200−i2i200
χ362-22-22-2-22-202020-2000i2−i2i2−i20000i2i2−i2−i2−2i2i−2i2i−2−222−2−2220000−2i2i2-20000000000−2200i2−i200
χ372-22-22-2-22-202020-2000−i2i2−i2i20000−i2−i2i2i22i−2i2i−2i−2−222−2−22200002i−2i2-20000000000−2200−i2i200
χ382-22-22-2-22-202020-2000−i2i2−i2i20000−i2−i2i2i22i−2i2i−2i−2−222−2−2220000−2i2i-2200000000002−200i2−i200
χ392-22-22-2-22-202020-2000−i2i2−i2i20000−i2−i2i2i2−2i2i−2i2i22−2−222−2−200002i−2i-220000000000−2200i2−i200
χ402-22-22-2-22-202020-2000−i2i2−i2i20000−i2−i2i2i2−2i2i−2i2i22−2−222−2−20000−2i2i2-200000000002−200−i2i200
χ412-2-2222-2-2-2-222-2-222-2200000000000000002-22-22-22-2000000000002i−2i2i−2i00000000000
χ422-2-2222-2-2-2-222-2-222-2200000000000000002-22-22-22-200000000000−2i2i−2i2i00000000000
χ432-2-2222-2-2-2-222-2-222-220000000000000000-22-22-22-22000000000002i−2i−2i2i00000000000
χ442-2-2222-2-2-2-222-2-222-220000000000000000-22-22-22-2200000000000−2i2i2i−2i00000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ464444-4-4-4-40-40-404040000002222−22−220000−22−2222220000000000000000000000000000000000
χ474444-4-4-4-40-40-40404000000−22−22222200002222−22−220000000000000000000000000000000000
χ4844-4-44-44-44040-40-4000000000000000000022−22−222222−22−222200000000000000000000000000
χ4944-4-44-44-44040-40-40000000000000000000−222222−22−222222−2200000000000000000000000000
χ5044-4-44-44-4-40-4040400000004i−4i4i−4i000000000000000000000000000000000000000000
χ5144-4-44-44-4-40-404040000000−4i4i−4i4i000000000000000000000000000000000000000000
χ5244-4-4-44-44000000000000002i2−2i2−2i22i22i2−2i22i2−2i200002-2-22-222-200000000000000000000000000
χ5344-4-4-44-44000000000000002i2−2i2−2i22i2−2i22i2−2i22i20000-222-22-2-2200000000000000000000000000
χ5444-4-4-44-4400000000000000−2i22i22i2−2i22i2−2i22i2−2i20000-222-22-2-2200000000000000000000000000
χ5544-4-4-44-4400000000000000−2i22i22i2−2i2−2i22i2−2i22i200002-2-22-222-200000000000000000000000000
χ564-44-44-4-4440-40-4040002i2−2i22i2−2i20000−2i2−2i22i22i200000000000000000000000000000000000000
χ574-44-44-4-4440-40-404000−2i22i2−2i22i200002i22i2−2i2−2i200000000000000000000000000000000000000
χ584-44-4-444-400000000002i2−2i2−2i22i2000000002i2−2i2−2i22i222-2-2-2-22200000000000000000000000000
χ594-44-4-444-400000000002i2−2i2−2i22i200000000−2i22i22i2−2i2-2-22222-2-200000000000000000000000000
χ604-44-4-444-40000000000−2i22i22i2−2i2000000002i2−2i2−2i22i2-2-22222-2-200000000000000000000000000
χ614-44-4-444-40000000000−2i22i22i2−2i200000000−2i22i22i2−2i222-2-2-2-22200000000000000000000000000
χ624-4-4444-4-444-4-444-4-4-4400000000000000000000000000000000000000000000000000
χ634-4-4444-4-44-4-444-4-444-400000000000000000000000000000000000000000000000000
χ644-4-4444-4-4-444-4-444-44-400000000000000000000000000000000000000000000000000
χ654-4-44-4-444040-40-40400000000004-4-4400000000000000000000000000000000000000
χ664-4-44-4-444040-40-4040000000000-444-400000000000000000000000000000000000000
χ674-4-44-4-4440-404040-400000000000000000022−2222−22−2222−222200000000000000000000000000
χ684-4-44-4-4440-404040-4000000000000000000−2222−222222−2222−2200000000000000000000000000

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