Finite Group Databasebeta

← Group #11670484

Character table — Group #11670484

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222233334444444444444444444444444666666666666888888888888888888812121212121212121212121212161616161616242424242424
order12222234444446668888444424444446688888812121212121224242424222244448888224444612121212121224242424242422222448888886612121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11-11-11-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-11-11-11-11-11-1
χ61111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-11-11-11111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-11-11-11-11-11-11
χ71111111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-111111-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-11-1-11-11-11
χ81111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11111-1-111-1-1-1-1-1-1-111-1-1-1-1111111-11-11-111-11-11-1
χ91111111-1-1-1-11111111111111-1-11111111-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111111-1-111-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ101111111-1-1-1-11111111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ111111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111
χ121111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-111111111-1-1111111-1-111-1-1-1-1
χ131111111-1-1-1-111111-1-1-1-11111-1-1111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-111-1-1-1111-1-111-1-111111-1-1-1-111-1-111-11-111-11-1-11-11
χ141111111-1-1-1-111111-1-1-1-11111-1-11-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-11-1-11-1-11-1-11111-1-1111-1-111-1-111-1-1111-11-1-11-111-11-1
χ151111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-11-111-1-1-1111-1-111-1-111-1-1-11111-1-111-1-1-11-111-1-111-11-1
χ161111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111111-11-1-11-1-11-1-11111-1-111-111-1-111-1-111-1-11-11-1-111-1-11-11
χ171111-1-1111-1-11111111111111-11-11111-1-111-1-1-1-111-1-111111111-1-111-1-11111-1-111-1-1-11-1111111-1-1-1-1-111111-111-1-1-1-1-1-111-1-1-1-111-1-1
χ181111-1-1111-1-11111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1111111-1-111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-111
χ191111-1-1111-1-1111111111-1-1-1-1-11-11111-1-111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1-1-111-1-1-11-1111111-1-1-1-11-1-1-1-1-11-1-11111-1-111-1-111-1-111
χ201111-1-1111-1-1111111111-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-111-1-111-11-1-1-1-1-111-1-1-1-111111-11-1-1111111-1-111-1-111-1-1
χ211111-1-1111-1-111111-1-1-1-11111-11-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11-11-111-1-1-1-11111-111-1-11-1-1-11111-111-1-11-111-1-11
χ221111-1-1111-1-111111-1-1-1-11111-11-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-1-111-1-11-1-1-111-1-11111-1-1-1111-1-1-111111-1-111-11-1-111-1
χ231111-1-1111-1-111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1111111-111-1-11-11-111-1-1-1-111111-1-111-1111-1-1-1-1-111-1-111-1-111-1
χ241111-1-1111-1-111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-11111111-1-111-1-11-1-1-111-1-11111111-1-1-1111-1-1-1-11-1-111-1-111-1-11
χ251111-1-11-1-11111111111111111-1-11111-1-1-1-1-1-111-1-1111111111111-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-111-11111-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ261111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-111-1-111111111-1-1
χ271111-1-11-1-111111111111-1-1-1-11-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11-1-11111-1-1-1-1111-1-1-1-11-11111-1-111-1-1-1-11111-1-1
χ281111-1-11-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-11111-1-1-1-111
χ291111-1-11-1-11111111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-111-1-111-1-11111-1-1-111-1-1-111111-1-11-1-11-11-11-111-1
χ301111-1-11-1-11111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-11-1-1-1-1111111-1-1-1-1-111-111111-1-1-111-11-11-11-1-11
χ311111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-111-1-111-1-11111-1-11-1-1111-1-1-1-1-1111-1-11-111-11-1-11
χ321111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-11-11-1-1-1-1111111-1-1111-1-11-1-1-1-1-111-111-11-1-11-111-1
χ3322222222222-2-222200002222-2-2-20000220000002222-2-20000-2-22222220000000000-2-2-20000000000-20000-2-2000000000000000000
χ3422222222222-2-22220000-2-2-2-2-2-2-20000220000002222-2-2000022-2-2-2-2-2-20000000000-2-2-200000000002000022000000000000000000
χ352222222-2-2-2-2-2-22220000222222-2000022000000-2-2-2-2-2-20000-2-2-2-2-2-222000000000022-20000000000-2000022000000000000000000
χ362222222-2-2-2-2-2-22220000-2-2-2-222-2000022000000-2-2-2-2-2-20000222222-2-2000000000022-2000000000020000-2-2000000000000000000
χ37222222-1222222-1-1-1222200002222222-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000222222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000-1-1-1-1-1-1000000
χ38222222-1222222-1-1-122220000222-2-2-2-2-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-10000000000000111111000000
χ39222222-1222222-1-1-1-2-2-2-2000022222-2-2-1-1-2-2-2-2-2-2-1-1-1-1-1-111110000000000002-22-22-2-1-1-1-1-1111111110000000000000-11-11-11000000
χ40222222-1222222-1-1-1-2-2-2-20000222-2-222-1-1-2-2-2-2-2-2-1-1-1-1-1-11111000000000000-22-22-22-1-1-111-1-111111100000000000001-11-11-1000000
χ41222222-1-2-2-2-222-1-1-122220000-2-222222-1-1-2-222-2-21111-1-1-1-1-1-1000000000000-2-2-2-22211-1-1-1-1-111-1-11100000000000001111-1-1000000
χ42222222-1-2-2-2-222-1-1-122220000-2-22-2-2-2-2-1-1-2-222-2-21111-1-1-1-1-1-10000000000002222-2-211-1111111-1-1110000000000000-1-1-1-111000000
χ43222222-1-2-2-2-222-1-1-1-2-2-2-20000-2-2222-2-2-1-122-2-2221111-1-11111000000000000-22-222-211-1-1-111-1-111-1-100000000000001-11-1-11000000
χ44222222-1-2-2-2-222-1-1-1-2-2-2-20000-2-22-2-222-1-122-2-2221111-1-111110000000000002-22-2-2211-111-1-1-1-111-1-10000000000000-11-111-1000000
χ452222-2-2222-2-2-2-2222000022222-220000-2-200000022-2-2-2-20000-2-2-2-222-2-200000000002-22000000000020000-22000000000000000000
χ462222-2-2222-2-2-2-22220000-2-2-2-22-220000-2-200000022-2-2-2-200002222-2-22200000000002-220000000000-200002-2000000000000000000
χ472222-2-22-2-222-2-222200002222-2220000-2-2000000-2-222-2-20000-2-222-2-2-2-20000000000-2220000000000200002-2000000000000000000
χ482222-2-22-2-222-2-22220000-2-2-2-2-2220000-2-2000000-2-222-2-2000022-2-222220000000000-2220000000000-20000-22000000000000000000
χ492222-2-2-122-2-222-1-1-122220000-22-222221122-2-2-2-2-1-111-1-1-1-1-1-1000000000000-2-222-2-21-11-1-1-1-1-1-11111000000000000011-1-111000000
χ502222-2-2-122-2-222-1-1-122220000-22-2-2-2-2-21122-2-2-2-2-1-111-1-1-1-1-1-100000000000022-2-2221-111111-1-111110000000000000-1-111-1-1000000
χ512222-2-2-122-2-222-1-1-1-2-2-2-20000-22-222-2-211-2-22222-1-111-1-11111000000000000-222-2-221-11-1-11111-1-1-1-100000000000001-1-111-1000000
χ522222-2-2-122-2-222-1-1-1-2-2-2-20000-22-2-2-22211-2-22222-1-111-1-111110000000000002-2-222-21-1111-1-111-1-1-1-10000000000000-111-1-11000000
χ532222-2-2-1-2-22222-1-1-1222200002-2-2222211-2-2-2-22211-1-1-1-1-1-1-1-100000000000022-2-2-2-2-111-1-1-1-11111-1-10000000000000-1-11111000000
χ542222-2-2-1-2-22222-1-1-1222200002-2-2-2-2-2-211-2-2-2-22211-1-1-1-1-1-1-1-1000000000000-2-22222-11111111111-1-1000000000000011-1-1-1-1000000
χ552222-2-2-1-2-22222-1-1-1-2-2-2-200002-2-222-2-2112222-2-211-1-1-1-111110000000000002-2-22-22-111-1-111-1-1-1-1110000000000000-111-11-1000000
χ562222-2-2-1-2-22222-1-1-1-2-2-2-200002-2-2-2-222112222-2-211-1-1-1-11111000000000000-222-22-2-11111-1-1-1-1-1-11100000000000001-1-11-11000000
χ5722-2-22-222i−2i2i−2i00-22-222−2−22i2i−2i−2i00000002-2i2−i22−2i2−i22i−2i2i−2i0022−2−2002-22-22i−2ii2i2−i2−i20000000000000i2−i22−2i2−i200000002−2i2−i22−2000000000000
χ5822-2-22-222i−2i2i−2i00-22-222−2−2−2i−2i2i2i00000002-2i2−i22−2i2−i22i−2i2i−2i0022−2−200-22-22−2i2i−i2−i2i2i20000000000000i2−i22−2i2−i20000000−22−i2i2−22000000000000
χ5922-2-22-222i−2i2i−2i00-22-2−2−2222i2i−2i−2i00000002-2−i2i2−22−i2i22i−2i2i−2i00−2−222002-22-22i−2i−i2−i2i2i20000000000000−i2i2−22−i2i20000000−22−i2i2−22000000000000
χ6022-2-22-222i−2i2i−2i00-22-2−2−222−2i−2i2i2i00000002-2−i2i2−22−i2i22i−2i2i−2i00−2−22200-22-22−2i2ii2i2−i2−i20000000000000−i2i2−22−i2i200000002−2i2−i22−2000000000000
χ6122-2-22-22−2i2i−2i2i00-22-222−2−22i2i−2i−2i00000002-2−i2i22−2−i2i2−2i2i−2i2i0022−2−200-22-222i−2ii2i2−i2−i20000000000000−i2i22−2−i2i20000000−22i2−i2−22000000000000
χ6222-2-22-22−2i2i−2i2i00-22-222−2−2−2i−2i2i2i00000002-2−i2i22−2−i2i2−2i2i−2i2i0022−2−2002-22-2−2i2i−i2−i2i2i20000000000000−i2i22−2−i2i200000002−2−i2i22−2000000000000
χ6322-2-22-22−2i2i−2i2i00-22-2−2−2222i2i−2i−2i00000002-2i2−i2−22i2−i2−2i2i−2i2i00−2−22200-22-222i−2i−i2−i2i2i20000000000000i2−i2−22i2−i200000002−2−i2i22−2000000000000
χ6422-2-22-22−2i2i−2i2i00-22-2−2−222−2i−2i2i2i00000002-2i2−i2−22i2−i2−2i2i−2i2i00−2−222002-22-2−2i2ii2i2−i2−i20000000000000i2−i2−22i2−i20000000−22i2−i2−22000000000000
χ6522-2-2-2222i−2i−2i2i00-22-222−2−22i2i−2i−2i0000000-22i2−i2−22−i2i22i−2i−2i2i0022−2−200-222-2−2i2ii2i2−i2−i20000000000000i2−i2−22−i2i200000002−2−i2i2−22000000000000
χ6622-2-2-2222i−2i−2i2i00-22-222−2−2−2i−2i2i2i0000000-22i2−i2−22−i2i22i−2i−2i2i0022−2−2002-2-222i−2i−i2−i2i2i20000000000000i2−i2−22−i2i20000000−22i2−i22−2000000000000
χ6722-2-2-2222i−2i−2i2i00-22-2−2−2222i2i−2i−2i0000000-22−i2i22−2i2−i22i−2i−2i2i00−2−22200-222-2−2i2i−i2−i2i2i20000000000000−i2i22−2i2−i20000000−22i2−i22−2000000000000
χ6822-2-2-2222i−2i−2i2i00-22-2−2−222−2i−2i2i2i0000000-22−i2i22−2i2−i22i−2i−2i2i00−2−222002-2-222i−2ii2i2−i2−i20000000000000−i2i22−2i2−i200000002−2−i2i2−22000000000000
χ6922-2-2-222−2i2i2i−2i00-22-222−2−22i2i−2i−2i0000000-22−i2i2−22i2−i2−2i2i2i−2i0022−2−2002-2-22−2i2ii2i2−i2−i20000000000000−i2i2−22i2−i20000000−22−i2i22−2000000000000
χ7022-2-2-222−2i2i2i−2i00-22-222−2−2−2i−2i2i2i0000000-22−i2i2−22i2−i2−2i2i2i−2i0022−2−200-222-22i−2i−i2−i2i2i20000000000000−i2i2−22i2−i200000002−2i2−i2−22000000000000
χ7122-2-2-222−2i2i2i−2i00-22-2−2−2222i2i−2i−2i0000000-22i2−i22−2−i2i2−2i2i2i−2i00−2−222002-2-22−2i2i−i2−i2i2i20000000000000i2−i22−2−i2i200000002−2i2−i2−22000000000000
χ7222-2-2-222−2i2i2i−2i00-22-2−2−222−2i−2i2i2i0000000-22i2−i22−2−i2i2−2i2i2i−2i00−2−22200-222-22i−2ii2i2−i2−i20000000000000i2−i22−2−i2i20000000−22−i2i22−2000000000000
χ732-2-220020000-22-2-222-22-22-22-20002-22-2000000000000-222-22-22-20000002-22-20000000002-22-200000002-22-200000000000000000000
χ742-2-220020000-22-2-222-22-22-22-2000-22-22000000000000-222-22-22-20000002-22-2000000000-22-220000000-22-2200000000000000000000
χ752-2-220020000-22-2-222-22-2-22-220002-22-2000000000000-222-22-2-22000000-22-220000000002-22-20000000-22-2200000000000000000000
χ762-2-220020000-22-2-222-22-2-22-22000-22-22000000000000-222-22-2-22000000-22-22000000000-22-2200000002-22-200000000000000000000
χ772-2-220020000-22-2-22-22-222-22-20002-2-22000000000000-22-22-222-2000000-22-220000000002-2-2200000002-2-2200000000000000000000
χ782-2-220020000-22-2-22-22-222-22-2000-222-2000000000000-22-22-222-2000000-22-22000000000-222-20000000-222-200000000000000000000
χ792-2-220020000-22-2-22-22-22-22-220002-2-22000000000000-22-22-22-220000002-22-20000000002-2-220000000-222-200000000000000000000
χ802-2-220020000-22-2-22-22-22-22-22000-222-2000000000000-22-22-22-220000002-22-2000000000-222-200000002-2-2200000000000000000000
χ81444444-24444-4-4-2-2-200000000-4-4-40000-2-2000000-2-2-2-222000000000000000000000022200000000000000000000000000000000000
χ82444444-2-4-4-4-4-4-4-2-2-20000000044-40000-2-20000002222220000000000000000000000-2-2200000000000000000000000000000000000
χ834444-4-4-244-4-4-4-4-2-2-2000000004-44000022000000-2-222220000000000000000000000-22-200000000000000000000000000000000000
χ844444-4-4-2-4-444-4-4-2-2-200000000-44400002200000022-2-22200000000000000000000002-2-200000000000000000000000000000000000
χ8544-4-44-4-24i−4i4i−4i002-222222−22−2200000000000-222i2−2i222−222i2−2i2−2i2i−2i2i00−2−2220000000000000000000000000−i2i2−22−i2i20000000000000000000000000
χ8644-4-44-4-24i−4i4i−4i002-22−22−22222200000000000-22−2i22i2−2222−2i22i2−2i2i−2i2i0022−2−20000000000000000000000000i2−i22−2i2−i20000000000000000000000000
χ8744-4-44-4-2−4i4i−4i4i002-222222−22−2200000000000-22−2i22i222−22−2i22i22i−2i2i−2i00−2−2220000000000000000000000000i2−i2−22i2−i20000000000000000000000000
χ8844-4-44-4-2−4i4i−4i4i002-22−22−22222200000000000-222i2−2i2−22222i2−2i22i−2i2i−2i0022−2−20000000000000000000000000−i2i22−2−i2i20000000000000000000000000
χ8944-4-4-44-24i−4i−4i4i002-222222−22−22000000000002-22i2−2i2−2222−2i22i2−2i2i2i−2i00−2−2220000000000000000000000000−i2i22−2i2−i20000000000000000000000000
χ9044-4-4-44-24i−4i−4i4i002-22−22−222222000000000002-2−2i22i222−222i2−2i2−2i2i2i−2i0022−2−20000000000000000000000000i2−i2−22−i2i20000000000000000000000000
χ9144-4-4-44-2−4i4i4i−4i002-222222−22−22000000000002-2−2i22i2−22222i2−2i22i−2i−2i2i00−2−2220000000000000000000000000i2−i22−2−i2i20000000000000000000000000
χ9244-4-4-44-2−4i4i4i−4i002-22−22−222222000000000002-22i2−2i222−22−2i22i22i−2i−2i2i0022−2−20000000000000000000000000−i2i2−22i2−i20000000000000000000000000
χ934-44-40040000004-4-422−22−22224i−4i−4i4i00000000000000000000022−22−2222000000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ944-44-40040000004-4-422−22−2222−4i4i4i−4i00000000000000000000022−22−222200000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ954-44-40040000004-4-4−222222−224i−4i−4i4i000000000000000000000−222222−2200000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ964-44-40040000004-4-4−222222−22−4i4i4i−4i000000000000000000000−222222−22000000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ974-4-4400400004-4-4-4400004-44-400000000000000000004-40000-44000000000000000000000000000000000000000000000000000000
χ984-4-4400400004-4-4-440000-44-4400000000000000000004-400004-4000000000000000000000000000000000000000000000000000000
χ994-4-4400-20000-4422-24-44-400000004-44-40000000000002-2-22-22000000000000000000000-22-220000000000000000000000000000000
χ1004-4-4400-20000-4422-24-44-40000000-44-440000000000002-2-22-220000000000000000000002-22-20000000000000000000000000000000
χ1014-4-4400-20000-4422-2-44-4400000004-4-440000000000002-22-22-2000000000000000000000-222-20000000000000000000000000000000
χ1024-4-4400-20000-4422-2-44-440000000-444-40000000000002-22-22-20000000000000000000002-2-220000000000000000000000000000000
χ1038-88-800-4000000-44442−42−42420000000000000000000000000−222222−2200000000000000000000000000000000000000000000000000000000
χ1048-88-800-4000000-444−424242−42000000000000000000000000022−22−222200000000000000000000000000000000000000000000000000000000
χ1058-8-8800-400008-844-4000000000000000000000000000-44000000000000000000000000000000000000000000000000000000000000

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