Finite Group Databasebeta

← Group #9567

Character table — Group #9567

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1
χ91-111-1-1-1111-1-1-111-1iiii−i−i−i−iiiii−i−i−i−i1-1ii−i−i1111-1-1-1-111-1-1ii−i−ii−i1-1
χ101-111-1-1-1111-1-1-111-1iiii−i−i−i−iiiii−i−i−i−i1-1ii−i−i1111-1-1-1-1-1-111−i−iii−ii-11
χ111-111-1-1-1111-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii1-1ii−i−i-1-1-1-1111111-1-1ii−i−i−ii-11
χ121-111-1-1-1111-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii1-1ii−i−i-1-1-1-11111-1-111−i−iiii−i1-1
χ131-111-1-1-1111-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i1-1−i−iii-1-1-1-1111111-1-1−i−iiii−i-11
χ141-111-1-1-1111-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i1-1−i−iii-1-1-1-11111-1-111ii−i−i−ii1-1
χ151-111-1-1-1111-1-1-111-1−i−i−i−iiiii−i−i−i−iiiii1-1−i−iii1111-1-1-1-111-1-1−i−iii−ii1-1
χ161-111-1-1-1111-1-1-111-1−i−i−i−iiiii−i−i−i−iiiii1-1−i−iii1111-1-1-1-1-1-111ii−i−ii−i-11
χ17222222222-22-2-22-220000000022-2-222-2-2-2-2000000000000000000000000
χ18222222222-22-2-22-2200000000-2-222-2-222-2-2000000000000000000000000
χ1922222222-22-222-22-22222222200000000-2-2-2-2-2-200000000000000000000
χ2022222222-22-222-22-2-2-2-2-2-2-2-2-200000000-2-2222200000000000000000000
χ2122222222-2-2-2-2-2-2-2-200000000000000002200002i2i−2i−2i2i2i−2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-20000000000000000220000−2i−2i2i2i−2i−2i2i2i000000000000
χ23222-22-2-2-220200-20-222−2−222−2−2002-2002-2002−22−22−22−22−22−2000000000000
χ24222-22-2-2-220200-20-222−2−222−2−200-2200-22002−22−2−22−22−22−22000000000000
χ25222-22-2-2-220200-20-2−2−222−2−222002-2002-200−22−22−22−22−22−22000000000000
χ26222-22-2-2-220200-20-2−2−222−2−22200-2200-2200−22−222−22−22−22−2000000000000
χ27222-22-2-2-2-20-20020222−2−222−2−22i−2i002i−2i0000−22−22i2−i2−i2i2i2−i2−i2i2000000000000
χ28222-22-2-2-2-20-20020222−2−222−2−2−2i2i00−2i2i0000−22−22−i2i2i2−i2−i2i2i2−i2000000000000
χ29222-22-2-2-2-20-200202−2−222−2−2222i−2i002i−2i00002−22−2−i2i2i2−i2−i2i2i2−i2000000000000
χ30222-22-2-2-2-20-200202−2−222−2−222−2i2i00−2i2i00002−22−2i2−i2−i2i2i2−i2−i2i2000000000000
χ3122-22-2-22-20-202-20202i−2i2i−2i2i−2i2i−2i0000000000000000000000i2−i2i2−i22−22−20000
χ3222-22-2-22-20-202-20202i−2i2i−2i2i−2i2i−2i0000000000000000000000−i2i2−i2i2−22−220000
χ3322-22-2-22-20-202-2020−2i2i−2i2i−2i2i−2i2i0000000000000000000000i2−i2i2−i2−22−220000
χ3422-22-2-22-20-202-2020−2i2i−2i2i−2i2i−2i2i0000000000000000000000−i2i2−i2i22−22−20000
χ352-222-2-2-222-2-2222-2-2000000002i2i−2i−2i−2i−2i2i2i-22000000000000000000000000
χ362-222-2-2-222-2-2222-2-200000000−2i−2i2i2i2i2i−2i−2i-22000000000000000000000000
χ372-222-2-2-22-222-2-2-2222i2i2i2i−2i−2i−2i−2i00000000-22−2i−2i2i2i00000000000000000000
χ382-222-2-2-22-222-2-2-222−2i−2i−2i−2i2i2i2i2i00000000-222i2i−2i−2i00000000000000000000
χ392-222-2-2-22-2-2222-2-2200000000000000002-200002i2i−2i−2i−2i−2i2i2i000000000000
χ402-222-2-2-22-2-2222-2-2200000000000000002-20000−2i−2i2i2i2i2i−2i−2i000000000000
χ412-22-2-222-220-200-202i2i2−i2−i2−i2−i2i2i2002i−2i00−2i2i00i2−i2−i2i22−22−2−22−22000000000000
χ422-22-2-222-220-200-202i2i2−i2−i2−i2−i2i2i200−2i2i002i−2i00i2−i2−i2i2−22−222−22−2000000000000
χ432-22-2-222-220-200-202−i2−i2i2i2i2i2−i2−i2002i−2i00−2i2i00−i2i2i2−i2−22−222−22−2000000000000
χ442-22-2-222-220-200-202−i2−i2i2i2i2i2−i2−i200−2i2i002i−2i00−i2i2i2−i22−22−2−22−22000000000000
χ452-22-2-222-2-2020020-2i2i2−i2−i2−i2−i2i2i22-200-220000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000000000
χ462-22-2-222-2-2020020-2i2i2−i2−i2−i2−i2i2i2-22002-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000
χ472-22-2-222-2-2020020-2−i2−i2i2i2i2i2−i2−i22-200-220000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000000000
χ482-22-2-222-2-2020020-2−i2−i2i2i2i2i2−i2−i2-22002-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000
χ492-2-2222-2-20-20-220202-22-2-22-220000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ502-2-2222-2-20-20-220202-22-2-22-220000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ512-2-2222-2-20-20-22020-22-222-22-20000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ522-2-2222-2-20-20-22020-22-222-22-20000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ5344-44-4-44-4040-440-40000000000000000000000000000000000000000000
χ5444-4-4-44-44000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ5544-4-4-44-4400000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ564-4-4444-4-40404-40-40000000000000000000000000000000000000000000
χ574-4-4-44-4440000000022−22−2222−222222−220000000000000000000000000000000000
χ584-4-4-44-44400000000−222222−2222−22−22220000000000000000000000000000000000

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