Finite Group Databasebeta

← Group #11675652

Character table — Group #11675652

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222222222444444444444444444444444444444444466666666888888881212121212121212121212121212121212121212161616161616161624242424
order12224444223444444666888888881212121244668888121212121212121212122424242424242424242424242424242444444444444444442222444444448888888812121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ1011111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111
χ1111111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111
χ1211111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1
χ1311111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ1411111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1
χ1511111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ1611111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ171111-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-11-11-11-11-11111-1-1-1-11-11-111-1-111-1-11-11-11-11-11-11-1
χ181111-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-11-11-11-11-1-1-1-111111-11-111-1-111-1-1-11-11-11-11-11-11
χ191111-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-11-11-1-1-1-1-11111-11-11-1-111-1-1111-11-11-11-1-11-11
χ201111-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11-11-111111-1-1-1-1-11-11-1-111-1-111-11-11-11-111-11-1
χ211111-1-1-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-1-11-1111-1-1-1-1111-11-1-1-111-1-1111-11-1-11-111-1-11
χ221111-1-1-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-111-11-1-1-11111-1-11-11-1-1-111-1-111-11-111-11-1-111-1
χ231111-1-1-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1-11-11-1-11111-1-1-11-1111-1-111-1-11-11-1-11-11-111-1
χ241111-1-1-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-11-111-11-111-1-1-1-111-11-1111-1-111-1-1-11-111-11-11-1-11
χ251111-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-111111-1-1-1-11-1-1111-1-1-1-1111-1-111-1-11-11-11
χ261111-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1-1-1-1-111111-1-1111-1-1-1-111-111-1-111-11-11-1
χ271111-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-1-11-1-1-1-11111-111-1-1-11111-1-11-1-111-1-111-11-1
χ281111-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-11111-1-1-1-1-111-1-1-11111-1-1-111-1-111-1-11-11
χ291111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-11-111-111-1-1-1-1111-1-11-1-11111-1-11-1-11-111-1-111-1
χ301111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-11-1-11-1-11111-1-11-1-11-1-11111-1-1-111-11-1-111-1-11
χ311111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11-111-1-1-11111-1-1-111-111-1-1-1-1111-1-11-111-11-1-11
χ321111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-111-11-1-1111-1-1-1-111-111-111-1-1-1-111-111-11-1-11-111-1
χ332222222222-1222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222200000000000000000000-1-1-1-1-1-1-1-10000
χ342222222222-1222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-200000000000000000000111111110000
χ352222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-2-200000000000000000000-1-1-1-111110000
χ362222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-22222000000000000000000001111-1-1-1-10000
χ372222222222-1-2-2-2-222-1-1-122222222-1-1-1-1-2-2-1-1-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1111111110000000022-2-222-2-200000000000000000000-1-111-1-1110000
χ382222222222-1-2-2-2-222-1-1-122222222-1-1-1-1-2-2-1-1-2-2-2-211111111-1-1-1-1-1-1-1-1-1-11111111100000000-2-222-2-2220000000000000000000011-1-111-1-10000
χ392222222222-1-2-2-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2-1-1222211111111-1-111111111-1-1-1-1-1-1-1-10000000022-2-2-2-22200000000000000000000-1-11111-1-10000
χ402222222222-1-2-2-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2-1-1222211111111-1-111111111-1-1-1-1-1-1-1-100000000-2-22222-2-20000000000000000000011-1-1-1-1110000
χ4122222222-2-222222-2-2222000000002222-2-2-2-2000022-2-222-2-2-2-20000000000000000222222220000000000000000-2-2-2-200000000000000000000
χ4222222222-2-222222-2-2222000000002222-2-2-2-2000022-2-222-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000222200000000000000000000
χ4322222222-2-22-2-2-2-2-2-222200000000222222-2-20000-2-222-2-222-2-200000000000000002222-2-2-2-20000000000000000-2-22200000000000000000000
χ4422222222-2-22-2-2-2-2-2-222200000000222222-2-20000-2-222-2-222-2-20000000000000000-2-2-2-22222000000000000000022-2-200000000000000000000
χ452222-2-2-2-222222-2-2-2-222200000000-2-2-2-2-2222000022-2-2-2-222-2-2000000000000000022-2-222-2-20000000000000000-22-2200000000000000000000
χ462222-2-2-2-222222-2-2-2-222200000000-2-2-2-2-2222000022-2-2-2-222-2-20000000000000000-2-222-2-22200000000000000002-22-200000000000000000000
χ472222-2-2-2-2222-2-222-2-222200000000-2-2-2-22-2220000-2-22222-2-2-2-2000000000000000022-2-2-2-2220000000000000000-222-200000000000000000000
χ482222-2-2-2-2222-2-222-2-222200000000-2-2-2-22-2220000-2-22222-2-2-2-20000000000000000-2-22222-2-200000000000000002-2-2200000000000000000000
χ492222-2-2-2-2-2-2-122-2-222-1-1-12222-2-2-2-211112-21122-2-2-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111000000002-22-22-22-200000000000000000000-11-11-11-110000
χ502222-2-2-2-2-2-2-122-2-222-1-1-12222-2-2-2-211112-21122-2-2-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111100000000-22-22-22-22000000000000000000001-11-11-11-10000
χ512222-2-2-2-2-2-2-122-2-222-1-1-1-2-2-2-2222211112-211-2-222-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1000000002-22-2-22-2200000000000000000000-11-111-11-10000
χ522222-2-2-2-2-2-2-122-2-222-1-1-1-2-2-2-2222211112-211-2-222-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-100000000-22-222-22-2000000000000000000001-11-1-11-110000
χ532222-2-2-2-2-2-2-1-2-22222-1-1-12222-2-2-2-21111-2211-2-2221111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1000000002-2-222-2-2200000000000000000000-111-1-111-10000
χ542222-2-2-2-2-2-2-1-2-22222-1-1-12222-2-2-2-21111-2211-2-2221111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-100000000-222-2-222-2000000000000000000001-1-111-1-110000
χ552222-2-2-2-2-2-2-1-2-22222-1-1-1-2-2-2-222221111-221122-2-21111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111000000002-2-22-222-200000000000000000000-111-11-1-110000
χ562222-2-2-2-2-2-2-1-2-22222-1-1-1-2-2-2-222221111-221122-2-21111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111100000000-222-22-2-22000000000000000000001-1-11-111-10000
χ5722-2-222-2-22-2200002-22-2-222-2-222-2-222-2-2002-20000000000002-222-2-222-2-20000000000000000000000002-22-22-22-2000000000000000000000000
χ5822-2-222-2-22-2200002-22-2-222-2-222-2-222-2-2002-20000000000002-222-2-222-2-2000000000000000000000000-22-22-22-22000000000000000000000000
χ5922-2-222-2-22-2200002-22-2-2-2-222-2-22222-2-2002-20000000000002-2-2-222-2-2220000000000000000000000002-2-222-2-22000000000000000000000000
χ6022-2-222-2-22-2200002-22-2-2-2-222-2-22222-2-2002-20000000000002-2-2-222-2-222000000000000000000000000-222-2-222-2000000000000000000000000
χ6122-2-2-2-222-22200002-22-2-222-2-2-2-222-2-22200-220000000000002-222-2-2-2-2220000000000000000000000002-22-2-22-22000000000000000000000000
χ6222-2-2-2-222-22200002-22-2-222-2-2-2-222-2-22200-220000000000002-222-2-2-2-222000000000000000000000000-22-222-22-2000000000000000000000000
χ6322-2-2-2-222-22200002-22-2-2-2-22222-2-2-2-22200-220000000000002-2-2-22222-2-20000000000000000000000002-2-22-222-2000000000000000000000000
χ6422-2-2-2-222-22200002-22-2-2-2-22222-2-2-2-22200-220000000000002-2-2-22222-2-2000000000000000000000000-222-22-2-22000000000000000000000000
χ652-22-22i−2i2i−2i0022-22i−2i00-22-22−22−2−i2i2−i2i22i−2i2i−2i00002−2−i2i22-2002i−2i00002−22−2−i2i2−i2i222−2−2−i2−i2i2i22-22i−2i2-22i−2i000000000000000000002−2−i2i22−2−i2i2000000000000
χ662-22-22i−2i2i−2i0022-22i−2i00-22-22−22−2−i2i2−i2i22i−2i2i−2i00002−2−i2i22-2002i−2i00002−22−2−i2i2−i2i222−2−2−i2−i2i2i2-22−2i2i-22−2i2i00000000000000000000−22i2−i2−22i2−i2000000000000
χ672-22-22i−2i2i−2i0022-22i−2i00-22-2−22−22i2−i2i2−i22i−2i2i−2i0000−22i2−i22-2002i−2i0000−22−22i2−i2i2−i2−2−222i2i2−i2−i22-22i−2i2-22i−2i00000000000000000000−22i2−i2−22i2−i2000000000000
χ682-22-22i−2i2i−2i0022-22i−2i00-22-2−22−22i2−i2i2−i22i−2i2i−2i0000−22i2−i22-2002i−2i0000−22−22i2−i2i2−i2−2−222i2i2−i2−i2-22−2i2i-22−2i2i000000000000000000002−2−i2i22−2−i2i2000000000000
χ692-22-22i−2i2i−2i002-22−2i2i00-22-22−22−2−i2i2−i2i22i−2i2i−2i0000−22i2−i2-2200−2i2i00002−22−2−i2i2−i2i2−2−222i2i2−i2−i22-22i−2i-22−2i2i000000000000000000002−2−i2i2−22i2−i2000000000000
χ702-22-22i−2i2i−2i002-22−2i2i00-22-22−22−2−i2i2−i2i22i−2i2i−2i0000−22i2−i2-2200−2i2i00002−22−2−i2i2−i2i2−2−222i2i2−i2−i2-22−2i2i2-22i−2i00000000000000000000−22i2−i22−2−i2i2000000000000
χ712-22-22i−2i2i−2i002-22−2i2i00-22-2−22−22i2−i2i2−i22i−2i2i−2i00002−2−i2i2-2200−2i2i0000−22−22i2−i2i2−i222−2−2−i2−i2i2i22-22i−2i-22−2i2i00000000000000000000−22i2−i22−2−i2i2000000000000
χ722-22-22i−2i2i−2i002-22−2i2i00-22-2−22−22i2−i2i2−i22i−2i2i−2i00002−2−i2i2-2200−2i2i0000−22−22i2−i2i2−i222−2−2−i2−i2i2i2-22−2i2i2-22i−2i000000000000000000002−2−i2i2−22i2−i2000000000000
χ732-22-2−2i2i−2i2i0022-2−2i2i00-22-22−22−2i2−i2i2−i2−2i2i−2i2i00002−2i2−i22-200−2i2i00002−22−2i2−i2i2−i222−2−2i2i2−i2−i22-2−2i2i2-2−2i2i000000000000000000002−2i2−i22−2i2−i2000000000000
χ742-22-2−2i2i−2i2i0022-2−2i2i00-22-22−22−2i2−i2i2−i2−2i2i−2i2i00002−2i2−i22-200−2i2i00002−22−2i2−i2i2−i222−2−2i2i2−i2−i2-222i−2i-222i−2i00000000000000000000−22−i2i2−22−i2i2000000000000
χ752-22-2−2i2i−2i2i0022-2−2i2i00-22-2−22−22−i2i2−i2i2−2i2i−2i2i0000−22−i2i22-200−2i2i0000−22−22−i2i2−i2i2−2−222−i2−i2i2i22-2−2i2i2-2−2i2i00000000000000000000−22−i2i2−22−i2i2000000000000
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χ994-44-4−4i4i−4i4i00-24-4−4i4i002-2222−2222−222i2−2i22i2−2i22i−2i2i−2i000022−222i2−2i2-22002i−2i0000−22−22−i2i2−i2i2−2−222−i2−i2i2i2000000000000000000000000000000000000000000000000
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χ1064-4-444i−4i−4i4i00-200000022-222−22−2222−2i22i22i2−2i2−2i2i2i−2i00000000002i3−2i300−232300−222−2i2−i2−i2i2−i6i6i6−i6−666−6000000000000000000000000000000000000000000000000
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χ1104-4-44−4i4i4i−4i004000000-4-44−222222−22−2i22i22i2−2i2−4i4i4i−4i000000000000000000−222222−22−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000
χ1114-4-44−4i4i4i−4i00-200000022-222−22−22222i2−2i2−2i22i22i−2i−2i2i0000000000−2i32i300−232300−222−2−i2i2i2−i2i6−i6−i6i6−666−6000000000000000000000000000000000000000000000000
χ1124-4-44−4i4i4i−4i00-200000022-222−22−22222i2−2i2−2i22i22i−2i−2i2i00000000002i3−2i30023−2300−222−2−i2i2i2−i2−i6i6i6−i66−6−66000000000000000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i00-200000022-2−222222−22−2i22i22i2−2i22i−2i−2i2i0000000000−2i32i300−2323002−2−22i2−i2−i2i2−i6i6i6−i66−6−66000000000000000000000000000000000000000000000000
χ1144-4-44−4i4i4i−4i00-200000022-2−222222−22−2i22i22i2−2i22i−2i−2i2i00000000002i3−2i30023−23002−2−22i2−i2−i2i2i6−i6−i6i6−666−6000000000000000000000000000000000000000000000000

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