Finite Group Databasebeta

← Group #278404

Character table — Group #278404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222222244444444444448888888888888888888888888816161616161632323232
order12222244444488882244444888888224444888888888888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-11-11-1
χ10111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-11-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111-111-1-1-11-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1-1111-11-1
χ13111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111111-1-1-1111-1-11
χ14111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1111111-1111-1-1-111-1
χ15111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-1-111-111-1
χ16111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1111-1-11-1-11
χ172222222-2-2-2-22222200-2002-2-2-2-2-22200000000000000000000000000002i−2i2i−2i0000
χ182222222-2-2-2-22222200-2002-2-2-2-2-2220000000000000000000000000000−2i2i−2i2i0000
χ192222222-2-2-2-22-2-2-2-200-2002-22222-2-200000000000000000000000000002i−2i−2i2i0000
χ202222222-2-2-2-22-2-2-2-200-2002-22222-2-20000000000000000000000000000−2i2i2i−2i0000
χ21222222-22222-2000022-222-2-200000022-2-2-2-20022-2-2000000000000000000000000
χ22222222-22222-2000022-222-2-2000000-2-2-2-22200-2-222000000000000000000000000
χ23222222-22222-20000-2-2-2-2-2-2-20000002222-2-200-2-222000000000000000000000000
χ24222222-22222-20000-2-2-2-2-2-2-2000000-2-222220022-2-2000000000000000000000000
χ252222-2-2222-2-22222222-2-2-2-2222-2-2-2-200-2200-2-20000220000000000000000000000
χ262222-2-2222-2-222222-2-2-222-2222-2-2-2-2002-200220000-2-20000000000000000000000
χ272222-2-2222-2-22-2-2-2-222-2-2-2-22-2-2222200-2200220000-2-20000000000000000000000
χ282222-2-2222-2-22-2-2-2-2-2-2-222-22-2-22222002-200-2-20000220000000000000000000000
χ292222-2-22-2-2222222200200-2-2-2-222-2-200000000000000000022220000-2-200000000
χ302222-2-22-2-2222222200200-2-2-2-222-2-2000000000000000000-2-2-2-200002200000000
χ312222-2-22-2-2222-2-2-2-200200-2-222-2-22200000000000000000022-2-20000-2200000000
χ322222-2-22-2-2222-2-2-2-200200-2-222-2-222000000000000000000-2-22200002-200000000
χ332222-2-2-222-2-2-20000222-2-22-2000000002-200000000002i2i−2i−2i00002i2i−2i−2i0000000000
χ342222-2-2-222-2-2-20000222-2-22-2000000002-20000000000−2i−2i2i2i0000−2i−2i2i2i0000000000
χ352222-2-2-222-2-2-20000-2-22222-200000000-2200000000002i2i−2i−2i0000−2i−2i2i2i0000000000
χ362222-2-2-222-2-2-20000-2-22222-200000000-220000000000−2i−2i2i2i00002i2i−2i−2i0000000000
χ372-22-22-202-22-20i2i2−i2−i22-202-200i2−i2i2−i2i2−i200002i−2ii2−i2002i−2ii2−i22−22−200002−22−20000000000
χ382-22-22-202-22-20i2i2−i2−i22-202-200i2−i2i2−i2i2−i20000−2i2ii2−i200−2i2ii2−i2−22−220000−22−220000000000
χ392-22-22-202-22-20i2i2−i2−i2-220-2200i2−i2i2−i2i2−i200002i−2i−i2i200−2i2i−i2i22−22−20000−22−220000000000
χ402-22-22-202-22-20i2i2−i2−i2-220-2200i2−i2i2−i2i2−i20000−2i2i−i2i2002i−2i−i2i2−22−2200002−22−20000000000
χ412-22-22-202-22-20−i2−i2i2i22-202-200−i2i2−i2i2−i2i200002i−2i−i2i2002i−2i−i2i2−22−220000−22−220000000000
χ422-22-22-202-22-20−i2−i2i2i22-202-200−i2i2−i2i2−i2i20000−2i2i−i2i200−2i2i−i2i22−22−200002−22−20000000000
χ432-22-22-202-22-20−i2−i2i2i2-220-2200−i2i2−i2i2−i2i200002i−2ii2−i200−2i2ii2−i2−22−2200002−22−20000000000
χ442-22-22-202-22-20−i2−i2i2i2-220-2200−i2i2−i2i2−i2i20000−2i2ii2−i2002i−2ii2−i22−22−20000−22−220000000000
χ452-22-2-2202-2-220i2i2−i2−i22-20-2200i2−i2−i2i2−i2i22-20000−i2i22-200i2−i2i2−i2−i2i20000i2−i2−i2i20000000000
χ462-22-2-2202-2-220i2i2−i2−i22-20-2200i2−i2−i2i2−i2i2-220000−i2i2-2200i2−i2−i2i2i2−i20000−i2i2i2−i20000000000
χ472-22-2-2202-2-220i2i2−i2−i2-2202-200i2−i2−i2i2−i2i22-20000i2−i2-2200−i2i2i2−i2−i2i20000−i2i2i2−i20000000000
χ482-22-2-2202-2-220i2i2−i2−i2-2202-200i2−i2−i2i2−i2i2-220000i2−i22-200−i2i2−i2i2i2−i20000i2−i2−i2i20000000000
χ492-22-2-2202-2-220−i2−i2i2i22-20-2200−i2i2i2−i2i2−i22-20000i2−i22-200−i2i2−i2i2i2−i20000−i2i2i2−i20000000000
χ502-22-2-2202-2-220−i2−i2i2i22-20-2200−i2i2i2−i2i2−i2-220000i2−i2-2200−i2i2i2−i2−i2i20000i2−i2−i2i20000000000
χ512-22-2-2202-2-220−i2−i2i2i2-2202-200−i2i2i2−i2i2−i22-20000−i2i2-2200i2−i2−i2i2i2−i20000i2−i2−i2i20000000000
χ522-22-2-2202-2-220−i2−i2i2i2-2202-200−i2i2i2−i2i2−i2-220000−i2i22-200i2−i2i2−i2−i2i20000−i2i2i2−i20000000000
χ53444444-4-4-4-4-4-4000000400-44000000000000000000000000000000000000000000
χ544444-4-4-4-4-444-4000000-40044000000000000000000000000000000000000000000
χ554-44-44-40-44-4402i22i2−2i2−2i20000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000
χ564-44-44-40-44-440−2i2−2i22i22i200000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000
χ574-44-4-440-444-402i22i2−2i2−2i20000000−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ584-44-4-440-444-40−2i2−2i22i22i200000002i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ594-4-440040000-44i−4i4i−4i00000000000000000000000000000002i2−2i222−2200000000000000
χ604-4-440040000-44i−4i4i−4i0000000000000000000000000000000−2i22i2−222200000000000000
χ614-4-440040000-4−4i4i−4i4i00000000000000000000000000000002i2−2i2−222200000000000000
χ624-4-440040000-4−4i4i−4i4i0000000000000000000000000000000−2i22i222−2200000000000000
χ6388-8-80000000042−42−42420000000000000000000000000000000000000000000000000
χ6488-8-800000000−424242−420000000000000000000000000000000000000000000000000
χ658-8-8800-80000800000000000000000000000000000000000000000000000000000

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