Finite Group Databasebeta

← Group #278406

Character table — Group #278406

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222222244444444444448888888888888888888888888816161616161632323232
order12222244444488884444444888888222444888888888888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11-1-11111111-111-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111-1-11-1-11111111-111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ811111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
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
χ11111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111-1-111111-111-1-1-11-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1-1111-11-1
χ13111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-111-1-111111-1-1-1111-1-11
χ14111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-1111111-1111-1-1-111-1
χ15111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-1-111-111-1
χ16111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1111-1-11-1-11
χ172222222-2-2-2-222222-200200-2-2-2-2-22200000000000000000000000000002i−2i2i−2i0000
χ182222222-2-2-2-222222-200200-2-2-2-2-2220000000000000000000000000000−2i2i−2i2i0000
χ192222222-2-2-2-22-2-2-2-2-200200-22222-2-200000000000000000000000000002i−2i−2i2i0000
χ202222222-2-2-2-22-2-2-2-2-200200-22222-2-20000000000000000000000000000−2i2i2i−2i0000
χ21222222-22222-20000-222-222-2000000-222-2-2-20022-2-2000000000000000000000000
χ22222222-22222-20000-222-222-2000000-2-2-2-22200-2-222000000000000000000000000
χ23222222-22222-20000-2-2-2-2-2-2-20000002222-2-200-2-222000000000000000000000000
χ24222222-22222-20000-2-2-2-2-2-2-20000002-2-22220022-2-2000000000000000000000000
χ252222-2-2222-2-222222-222-2-2-2222-2-2-2-2-200200220000-2-20000000000000000000000
χ262222-2-2222-2-222222-2-2-2-222222-2-2-2-2200-200-2-20000220000000000000000000000
χ272222-2-2222-2-22-2-2-2-2-222-2-2-22-2-22222-200200-2-20000220000000000000000000000
χ282222-2-2222-2-22-2-2-2-2-2-2-2-2222-2-22222200-200220000-2-20000000000000000000000
χ292222-2-22-2-22222222200-200-2-2-222-2-200000000000000000022220000-2-200000000
χ302222-2-22-2-22222222200-200-2-2-222-2-2000000000000000000-2-2-2-200002200000000
χ312222-2-22-2-2222-2-2-2-2200-200-222-2-22200000000000000000022-2-20000-2200000000
χ322222-2-22-2-2222-2-2-2-2200-200-222-2-222000000000000000000-2-22200002-200000000
χ332222-2-2-222-2-2-200002222-2-2-2000000200-200000000002i2i−2i−2i00002i2i−2i−2i0000000000
χ342222-2-2-222-2-2-200002222-2-2-2000000200-20000000000−2i−2i2i2i0000−2i−2i2i2i0000000000
χ352222-2-2-222-2-2-200002-2-2222-2000000-200200000000002i2i−2i−2i0000−2i−2i2i2i0000000000
χ362222-2-2-222-2-2-200002-2-2222-2000000-20020000000000−2i−2i2i2i00002i2i−2i−2i0000000000
χ372-22-22-202-22-20i2i2−i2−i202i−2i02i−2i0i2−i2i2−i2i2−i200002i−2i2−2002-22−22−22−20000i2−i2i2−i20000000000
χ382-22-22-202-22-20i2i2−i2−i202i−2i02i−2i0i2−i2i2−i2i2−i20000−2i2i2−200-222−2−22−220000−i2i2−i2i20000000000
χ392-22-22-202-22-20i2i2−i2−i20−2i2i0−2i2i0i2−i2i2−i2i2−i200002i−2i−2200-22−222−22−20000−i2i2−i2i20000000000
χ402-22-22-202-22-20i2i2−i2−i20−2i2i0−2i2i0i2−i2i2−i2i2−i20000−2i2i−22002-2−22−22−220000i2−i2i2−i20000000000
χ412-22-22-202-22-20−i2−i2i2i202i−2i02i−2i0−i2i2−i2i2−i2i200002i−2i−22002-2−22−22−220000−i2i2−i2i20000000000
χ422-22-22-202-22-20−i2−i2i2i202i−2i02i−2i0−i2i2−i2i2−i2i20000−2i2i−2200-22−222−22−20000i2−i2i2−i20000000000
χ432-22-22-202-22-20−i2−i2i2i20−2i2i0−2i2i0−i2i2−i2i2−i2i200002i−2i2−200-222−2−22−220000i2−i2i2−i20000000000
χ442-22-22-202-22-20−i2−i2i2i20−2i2i0−2i2i0−i2i2−i2i2−i2i20000−2i2i2−2002-22−22−22−20000−i2i2−i2i20000000000
χ452-22-2-2202-2-220i2i2−i2−i202i−2i0−2i2i0i2−i2−i2i2−i2i202-20002−22i−2i00−22i2−i2−i2i20000−222−20000000000
χ462-22-2-2202-2-220i2i2−i2−i202i−2i0−2i2i0i2−i2−i2i2−i2i20-220002−2−2i2i00−22−i2i2i2−i200002−2−220000000000
χ472-22-2-2202-2-220i2i2−i2−i20−2i2i02i−2i0i2−i2−i2i2−i2i202-2000−22−2i2i002−2i2−i2−i2i200002−2−220000000000
χ482-22-2-2202-2-220i2i2−i2−i20−2i2i02i−2i0i2−i2−i2i2−i2i20-22000−222i−2i002−2−i2i2i2−i20000−222−20000000000
χ492-22-2-2202-2-220−i2−i2i2i202i−2i0−2i2i0−i2i2i2−i2i2−i202-2000−222i−2i002−2−i2i2i2−i200002−2−220000000000
χ502-22-2-2202-2-220−i2−i2i2i202i−2i0−2i2i0−i2i2i2−i2i2−i20-22000−22−2i2i002−2i2−i2−i2i20000−222−20000000000
χ512-22-2-2202-2-220−i2−i2i2i20−2i2i02i−2i0−i2i2i2−i2i2−i202-20002−2−2i2i00−22−i2i2i2−i20000−222−20000000000
χ522-22-2-2202-2-220−i2−i2i2i20−2i2i02i−2i0−i2i2i2−i2i2−i20-220002−22i−2i00−22i2−i2−i2i200002−2−220000000000
χ53444444-4-4-4-4-4-40000400-4004000000000000000000000000000000000000000000
χ544444-4-4-4-4-444-40000-4004004000000000000000000000000000000000000000000
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).