Finite Group Databasebeta

← Group #9738

Character table — Group #9738

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888888888882244
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91-1-111-1-11-111-111-1-11111-1-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1-11-1
χ101-1-111-1-11-111-111-1-11111-1-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-11-11
χ111-1-111-1-11-111-111-1-11111-1-1-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−i-11-11
χ121-1-111-1-11-111-111-1-11111-1-1-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii1-11-1
χ131-1-111-1-11-111-111-1-1-1-1-1-111111-1iiii−i−i−i−i-1-111−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ141-1-111-1-11-111-111-1-1-1-1-1-111111-1iiii−i−i−i−i-1-111−i−i−i−iiiii−i−iiiii−i−i-111-1
χ151-1-111-1-11-111-111-1-1-1-1-1-111111-1−i−i−i−iiiii-1-111iiii−i−i−i−iii−i−i−i−iii-111-1
χ161-1-111-1-11-111-111-1-1-1-1-1-111111-1−i−i−i−iiiii-1-111iiii−i−i−i−i−i−iiiii−i−i1-1-11
χ17222222222-2-2-2222-222222222-2-200000000-2-2-2-200000000000000000000
χ18222222222-2-2-2222-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000
χ1922222222-2222-2-2-2200000000-2-222-2-222-2-2000000000000000000000000
χ2022222222-2222-2-2-2200000000-2-2-2-222-2-222000000000000000000000000
χ2122222222-2-2-2-2-2-2-2-200000000220000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-20000000022000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ232222-2-2-2-2-20002-2202i2i−2i−2i2i2i−2i−2i0000000000000000000000i2−i2i2−i22−22−20000
χ242222-2-2-2-2-20002-2202i2i−2i−2i2i2i−2i−2i0000000000000000000000−i2i2−i2i2−22−220000
χ252222-2-2-2-2-20002-220−2i−2i2i2i−2i−2i2i2i0000000000000000000000i2−i2i2−i2−22−220000
χ262222-2-2-2-2-20002-220−2i−2i2i2i−2i−2i2i2i0000000000000000000000−i2i2−i2i22−22−20000
χ2722-2-2-22-2202-22000-22−22−22−22−200002i−2i002i−2i2−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ2822-2-2-22-2202-22000-22−22−22−22−20000−2i2i00−2i2i2−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ2922-2-2-22-2202-22000-2−22−22−22−2200002i−2i002i−2i−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ3022-2-2-22-2202-22000-2−22−22−22−220000−2i2i00−2i2i−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ3122-2-2-22-220-22-200022−22−22−22−2002-2002-200−22−222−2−222−2−22000000000000
χ3222-2-2-22-220-22-200022−22−22−22−200-2200-2200−22−22−222−2−222−2000000000000
χ3322-2-2-22-220-22-20002−22−22−22−22002-2002-2002−22−2−222−2−222−2000000000000
χ3422-2-2-22-220-22-20002−22−22−22−2200-2200-22002−22−22−2−222−2−22000000000000
χ352-22-2-2-22202-2-200022−22−2−22−2200002-200-222−2−222−22−2−22−22000000000000
χ362-22-2-2-22202-2-200022−22−2−22−220000-22002-22−2−22−22−222−22−2000000000000
χ372-22-2-2-22202-2-20002−22−222−22−200002-200-22−222−2−22−222−22−2000000000000
χ382-22-2-2-22202-2-20002−22−222−22−20000-22002-2−222−22−22−2−22−22000000000000
χ392-22-2-2-2220-222000-22−22−2−22−22002i−2i00−2i2i00−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ402-22-2-2-2220-222000-22−22−2−22−2200−2i2i002i−2i00−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ412-22-2-2-2220-222000-2−22−222−22−2002i−2i00−2i2i002−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ422-22-2-2-2220-222000-2−22−222−22−200−2i2i002i−2i002−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ432-2-222-2-22222-2-2-22-200000000-222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ442-2-222-2-22222-2-2-22-200000000-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ452-2-222-2-222-2-22-2-222000000002-200000000000022-2-2-2-222000000000000
χ462-2-222-2-222-2-22-2-222000000002-2000000000000-2-22222-2-2000000000000
χ472-2-222-2-22-2-2-2222-222222-2-2-2-2-2200000000-2-22200000000000000000000
χ482-2-222-2-22-2-2-2222-22-2-2-2-22222-220000000022-2-200000000000000000000
χ492-2-22-222-220002-2-202i2i−2i−2i−2i−2i2i2i00000000000000000000002−2−22−i2i2i2−i20000
χ502-2-22-222-220002-2-202i2i−2i−2i−2i−2i2i2i0000000000000000000000−222−2i2−i2−i2i20000
χ512-2-22-222-220002-2-20−2i−2i2i2i2i2i−2i−2i00000000000000000000002−2−22i2−i2−i2i20000
χ522-2-22-222-220002-2-20−2i−2i2i2i2i2i−2i−2i0000000000000000000000−222−2−i2i2i2−i20000
χ534444-4-4-4-44000-44-40000000000000000000000000000000000000000000
χ5444-4-44-44-4000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ5544-4-44-44-400000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ564-44-444-4-4000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ574-44-444-4-400000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ584-4-44-444-4-4000-4440000000000000000000000000000000000000000000

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