Finite Group Databasebeta

← Group #11670486

Character table — Group #11670486

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222233334444444444444444444444444666666666666888888888888888888812121212121212121212121212161616161616242424242424
order1222344444444666888844442244444888888121212121212121224242424222222448888222244661212121212242424242424222244488888866661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ411111111111111111111-1-1-1-1111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11-111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-111-1-11-11-111-1-1
χ61111111111111111-1-1-1-11111111-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-11-11-1-111
χ71111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-111111-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-11-1-11-1-111
χ81111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1-111-1-1-1-1-1-111-1-1-1-1-1111111-1-111-111-111-1-1
χ91111111-1-1-1-11111111111111-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-11111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ101111111-1-1-1-11111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111
χ111111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111
χ121111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-11111-111-1-111111111-1-111-1-1-1-1
χ131111111-1-1-1-111111-1-1-1-11111-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-1111-1-1-1-1111111-1-11-1-1-1-11111-1-1111-11-1-1-111
χ141111111-1-1-1-111111-1-1-1-11111-1-11-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-1-11-1-111-1-11111-1-1111-1-1-1-1111111-1-1-11-1111-1-1
χ151111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1111-1-1-1111-1-1-1-11111-1-111-11111-1-1-1-1-1-1111-1-1111-1-1
χ161111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-11-1-11-1-111-1-1111111-1-1-11111-1-1-1-111-1-1-111-1-1-111
χ1711111-1-111-1-111111111111111-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-111111-11-1-1-11-1-11111-1-111-1-11111-11-1-1-111-1-11-11-1-1-1-1-11-11-1
χ1811111-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-11111-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-111-1-1-11-111111-11-11
χ1911111-1-111-1-1111111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-1-1-11-1-11111-1-111-1-1-1-1-1-11-1111-1-1111-11-1-1-111-11-11
χ2011111-1-111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-111111-1111-1-111-11-1111-1-11-11-1
χ2111111-1-111-1-111111-1-1-1-111111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-111-1-111-1-111-1-11111-1-1-11-111-1-1111-1-11-11-111-1-11
χ2211111-1-111-1-111111-1-1-1-111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-11-1-1-1-11111-1-111-1-111-11-111-1-111-111-11-11-1-111-1
χ2311111-1-111-1-111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-11-111-1-111-1-111-1-111-1-1111-11-1-111-1-11-1-11-111-1-111-1
χ2411111-1-111-1-111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-111-11-11-1-1-1-11111-1-11111-1-11-11-1-111-1-1-111-11-1-111-1-11
χ2511111-1-1-1-1111111111111111-11-11111-1-1-1-111-1-1-1-11111111111-1-111-1-11111-11-11-1-1-11-11111-1-1-1-1111111-1-11-1-1-1-111-11-11-1-1-1-1-11-11
χ2611111-1-1-1-1111111111111111-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-111111-11-111-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1111-11-111111-11-1
χ2711111-1-1-1-111111111111-1-1-1-1-11-11111-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-1-1-11-11-1-1-11-11111-1-1-1-111-1-1-1-111-11111-1-1-11-11-1-1111-11-1
χ2811111-1-1-1-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-1-11-11-111-11-1-1-1-1-1-1-1-1-111111111-11111-1-11-11-111-1-1-11-11
χ2911111-1-1-1-11111111-1-1-1-11111-11-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11-11-111-1-11111-1-111-1-1-1-111111-1-1-111-1-11-11-111-1
χ3011111-1-1-1-11111111-1-1-1-11111-11-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11-1-111-1-11-1-1-1111111-1-1-1-111-1-111111-1-11-1-111-11-11-1-11
χ3111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-111-1-11-11-111-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-11-1-11
χ3211111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111-1-111-1-11-1-1-1111111-1-111-1-111-1-1-1-1-1111-1-111-1-11-111-1
χ3322222222222-2-222200002222-2-2-20000000000222222-2-20000-2-22222220000000000-2-2-200000000000000-2-2-2000000000000000000
χ3422222222222-2-22220000-2-2-2-2-2-2-20000000000222222-2-2000022-2-2-2-2-2-20000000000-2-2-200000000000000222000000000000000000
χ352222222-2-2-2-2-2-22220000222222-2000000000022-2-2-2-2-2-20000-2-2-2-2-2-222000000000022-200000000000000-222000000000000000000
χ362222222-2-2-2-2-2-22220000-2-2-2-222-2000000000022-2-2-2-2-2-20000222222-2-2000000000022-2000000000000002-2-2000000000000000000
χ3722222-2-222-2-2-2-222200002222-2220000000000-2-222-2-2-2-20000-2-222-2-2-2-20000000000-222000000000000002-22000000000000000000
χ3822222-2-222-2-2-2-22220000-2-2-2-2-2220000000000-2-222-2-2-2-2000022-2-222220000000000-22200000000000000-22-2000000000000000000
χ3922222-2-2-2-222-2-2222000022222-220000000000-2-2-2-222-2-20000-2-2-2-222-2-200000000002-220000000000000022-2000000000000000000
χ4022222-2-2-2-222-2-22220000-2-2-2-22-220000000000-2-2-2-222-2-200002222-2-22200000000002-2200000000000000-2-22000000000000000000
χ412222-122222222-1-1-1222200002222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000-1-1-1-1-1-1000000
χ422222-122222222-1-1-122220000222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-10000000000000111111000000
χ432222-122222222-1-1-1-2-2-2-2000022222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111100000000000022-2-22-2-1-1-1-1-1111111110000000000000-1-111-11000000
χ442222-122222222-1-1-1-2-2-2-20000222-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-11111000000000000-2-222-22-1-1-111-1-1111111000000000000011-1-11-1000000
χ452222-122-2-2-2-222-1-1-122220000-2-22222222-2-2-2-2-1-11111-1-1-1-1-1-1000000000000-2-2-2-22211-1-1-1-1-1-1-1111100000000000001111-1-1000000
χ462222-122-2-2-2-222-1-1-122220000-2-22-2-2-2-222-2-2-2-2-1-11111-1-1-1-1-1-10000000000002222-2-211-11111-1-111110000000000000-1-1-1-111000000
χ472222-122-2-2-2-222-1-1-1-2-2-2-20000-2-2222-2-2-2-22222-1-11111-1-11111000000000000-2-2222-211-1-1-11111-1-1-1-1000000000000011-1-1-11000000
χ482222-122-2-2-2-222-1-1-1-2-2-2-20000-2-22-2-222-2-22222-1-11111-1-1111100000000000022-2-2-2211-111-1-111-1-1-1-10000000000000-1-1111-1000000
χ492222-1-2-222-2-222-1-1-1222200002-2-22222-2-222-2-211-1-111-1-1-1-1-1-10000000000002-22-2-2-2-111-1-1-1-111-1-1110000000000000-11-1111000000
χ502222-1-2-222-2-222-1-1-1222200002-2-2-2-2-2-2-2-222-2-211-1-111-1-1-1-1-1-1000000000000-22-2222-111111111-1-11100000000000001-11-1-1-1000000
χ512222-1-2-222-2-222-1-1-1-2-2-2-200002-2-222-2-222-2-22211-1-111-1-111110000000000002-2-22-22-111-1-111-1-111-1-10000000000000-111-11-1000000
χ522222-1-2-222-2-222-1-1-1-2-2-2-200002-2-2-2-22222-2-22211-1-111-1-11111000000000000-222-22-2-11111-1-1-1-111-1-100000000000001-1-11-11000000
χ532222-1-2-2-2-22222-1-1-122220000-22-22222-2-2-2-2221111-1-1-1-1-1-1-1-1000000000000-22-22-2-21-11-1-1-1-11111-1-100000000000001-11-111000000
χ542222-1-2-2-2-22222-1-1-122220000-22-2-2-2-2-2-2-2-2-2221111-1-1-1-1-1-1-1-10000000000002-22-2221-1111111111-1-10000000000000-11-11-1-1000000
χ552222-1-2-2-2-22222-1-1-1-2-2-2-20000-22-222-2-22222-2-21111-1-1-1-11111000000000000-222-2-221-11-1-111-1-1-1-11100000000000001-1-111-1000000
χ562222-1-2-2-2-22222-1-1-1-2-2-2-20000-22-2-2-2222222-2-21111-1-1-1-111110000000000002-2-222-21-1111-1-1-1-1-1-1110000000000000-111-1-11000000
χ572-22-222-22i−2i2i−2i002-2-222−2−22i2i−2i−2i00000002−2i2−i2i2−i22-22i−2i2i−2i0022−2−2002-22-22i−2ii2i2−i2−i200000000000002−2i2−i2i2−i20000000i2−i22−22−2000000000000
χ582-22-222-22i−2i2i−2i002-2-222−2−2−2i−2i2i2i00000002−2i2−i2i2−i22-22i−2i2i−2i0022−2−200-22-22−2i2i−i2−i2i2i200000000000002−2i2−i2i2−i20000000−i2i2−22−22000000000000
χ592-22-222-22i−2i2i−2i002-2-2−2−2222i2i−2i−2i0000000−22−i2i2−i2i22-22i−2i2i−2i00−2−222002-22-22i−2i−i2−i2i2i20000000000000−22−i2i2−i2i20000000−i2i2−22−22000000000000
χ602-22-222-22i−2i2i−2i002-2-2−2−222−2i−2i2i2i0000000−22−i2i2−i2i22-22i−2i2i−2i00−2−22200-22-22−2i2ii2i2−i2−i20000000000000−22−i2i2−i2i20000000i2−i22−22−2000000000000
χ612-22-222-2−2i2i−2i2i002-2-222−2−22i2i−2i−2i00000002−2−i2i2−i2i22-2−2i2i−2i2i0022−2−200-22-222i−2ii2i2−i2−i200000000000002−2−i2i2−i2i20000000i2−i2−22−22000000000000
χ622-22-222-2−2i2i−2i2i002-2-222−2−2−2i−2i2i2i00000002−2−i2i2−i2i22-2−2i2i−2i2i0022−2−2002-22-2−2i2i−i2−i2i2i200000000000002−2−i2i2−i2i20000000−i2i22−22−2000000000000
χ632-22-222-2−2i2i−2i2i002-2-2−2−2222i2i−2i−2i0000000−22i2−i2i2−i22-2−2i2i−2i2i00−2−22200-22-222i−2i−i2−i2i2i20000000000000−22i2−i2i2−i20000000−i2i22−22−2000000000000
χ642-22-222-2−2i2i−2i2i002-2-2−2−222−2i−2i2i2i0000000−22i2−i2i2−i22-2−2i2i−2i2i00−2−222002-22-2−2i2ii2i2−i2−i20000000000000−22i2−i2i2−i20000000i2−i2−22−22000000000000
χ652-22-22-222i−2i−2i2i002-2-222−2−22i2i−2i−2i0000000−22i2−i2−i2i2-222i−2i−2i2i0022−2−2002-2-22−2i2ii2i2−i2−i20000000000000−22i2−i2−i2i20000000−i2i22−2−22000000000000
χ662-22-22-222i−2i−2i2i002-2-222−2−2−2i−2i2i2i0000000−22i2−i2−i2i2-222i−2i−2i2i0022−2−200-222-22i−2i−i2−i2i2i20000000000000−22i2−i2−i2i20000000i2−i2−222−2000000000000
χ672-22-22-222i−2i−2i2i002-2-2−2−2222i2i−2i−2i00000002−2−i2i2i2−i2-222i−2i−2i2i00−2−222002-2-22−2i2i−i2−i2i2i200000000000002−2−i2i2i2−i20000000i2−i2−222−2000000000000
χ682-22-22-222i−2i−2i2i002-2-2−2−222−2i−2i2i2i00000002−2−i2i2i2−i2-222i−2i−2i2i00−2−22200-222-22i−2ii2i2−i2−i200000000000002−2−i2i2i2−i20000000−i2i22−2−22000000000000
χ692-22-22-22−2i2i2i−2i002-2-222−2−22i2i−2i−2i0000000−22−i2i2i2−i2-22−2i2i2i−2i0022−2−200-222-2−2i2ii2i2−i2−i20000000000000−22−i2i2i2−i20000000−i2i2−222−2000000000000
χ702-22-22-22−2i2i2i−2i002-2-222−2−2−2i−2i2i2i0000000−22−i2i2i2−i2-22−2i2i2i−2i0022−2−2002-2-222i−2i−i2−i2i2i20000000000000−22−i2i2i2−i20000000i2−i22−2−22000000000000
χ712-22-22-22−2i2i2i−2i002-2-2−2−2222i2i−2i−2i00000002−2i2−i2−i2i2-22−2i2i2i−2i00−2−22200-222-2−2i2i−i2−i2i2i200000000000002−2i2−i2−i2i20000000i2−i22−2−22000000000000
χ722-22-22-22−2i2i2i−2i002-2-2−2−222−2i−2i2i2i00000002−2i2−i2−i2i2-22−2i2i2i−2i00−2−222002-2-222i−2ii2i2−i2−i200000000000002−2i2−i2−i2i20000000−i2i2−222−2000000000000
χ732-2-222000000-22-2-222-22-22-22-20002-22-2000000000000-222-22-22-20000002-22-20000000002-22-20000002-22-2000000000000000000000
χ742-2-222000000-22-2-222-22-22-22-2000-22-22000000000000-222-22-22-20000002-22-2000000000-22-22000000-22-22000000000000000000000
χ752-2-222000000-22-2-222-22-2-22-220002-22-2000000000000-222-22-2-22000000-22-220000000002-22-2000000-22-22000000000000000000000
χ762-2-222000000-22-2-222-22-2-22-22000-22-22000000000000-222-22-2-22000000-22-22000000000-22-220000002-22-2000000000000000000000
χ772-2-222000000-22-2-22-22-222-22-20002-2-22000000000000-22-22-222-2000000-22-220000000002-2-220000002-2-22000000000000000000000
χ782-2-222000000-22-2-22-22-222-22-2000-222-2000000000000-22-22-222-2000000-22-22000000000-222-2000000-222-2000000000000000000000
χ792-2-222000000-22-2-22-22-22-22-220002-2-22000000000000-22-22-22-220000002-22-20000000002-2-22000000-222-2000000000000000000000
χ802-2-222000000-22-2-22-22-22-22-22000-222-2000000000000-22-22-22-220000002-22-2000000000-222-20000002-2-22000000000000000000000
χ814444-2444444-4-4-2-2-200000000-4-4-40000000000-2-2-2-2-2-222000000000000000000000022200000000000000000000000000000000000
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χ834444-2-4-444-4-4-4-4-2-2-200000000-444000000000022-2-2222200000000000000000000002-2-200000000000000000000000000000000000
χ844444-2-4-4-4-444-4-4-2-2-2000000004-4400000000002222-2-2220000000000000000000000-22-200000000000000000000000000000000000
χ8544-4-4400000000-44-422−22−22224i−4i−4i4i00000000000000000000022−22−2222000000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ8644-4-4400000000-44-422−22−2222−4i4i4i−4i00000000000000000000022−22−222200000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ8744-4-4400000000-44-4−222222−224i−4i−4i4i000000000000000000000−222222−2200000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ8844-4-4400000000-44-4−222222−22−4i4i4i−4i000000000000000000000−222222−22000000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ894-44-4-24-44i−4i4i−4i00-2222222−22−220000000000022−222i2−2i22i2−2i2-22−2i2i−2i2i00−2−2220000000000000000000000000−22−i2i2−i2i20000000000000000000000000
χ904-44-4-24-44i−4i4i−4i00-222−22−22222200000000000−2222−2i22i2−2i22i2-22−2i2i−2i2i0022−2−200000000000000000000000002−2i2−i2i2−i20000000000000000000000000
χ914-44-4-24-4−4i4i−4i4i00-2222222−22−220000000000022−22−2i22i2−2i22i2-222i−2i2i−2i00−2−2220000000000000000000000000−22i2−i2i2−i20000000000000000000000000
χ924-44-4-24-4−4i4i−4i4i00-222−22−22222200000000000−22222i2−2i22i2−2i2-222i−2i2i−2i0022−2−200000000000000000000000002−2−i2i2−i2i20000000000000000000000000
χ934-44-4-2-444i−4i−4i4i00-2222222−22−2200000000000−22222i2−2i2−2i22i22-2−2i2i2i−2i00−2−22200000000000000000000000002−2−i2i2i2−i20000000000000000000000000
χ944-44-4-2-444i−4i−4i4i00-222−22−2222220000000000022−22−2i22i22i2−2i22-2−2i2i2i−2i0022−2−20000000000000000000000000−22i2−i2−i2i20000000000000000000000000
χ954-44-4-2-44−4i4i4i−4i00-2222222−22−2200000000000−2222−2i22i22i2−2i22-22i−2i−2i2i00−2−22200000000000000000000000002−2i2−i2−i2i20000000000000000000000000
χ964-44-4-2-44−4i4i4i−4i00-222−22−2222220000000000022−222i2−2i2−2i22i22-22i−2i−2i2i0022−2−20000000000000000000000000−22−i2i2i2−i20000000000000000000000000
χ974-4-4440000004-4-4-4400004-44-400000000000000000004-40000-44000000000000000000000000000000000000000000000000000000
χ984-4-4440000004-4-4-440000-44-4400000000000000000004-400004-4000000000000000000000000000000000000000000000000000000
χ994-4-44-2000000-4422-24-44-400000004-44-40000000000002-2-22-22000000000000000000000-22-220000000000000000000000000000000
χ1004-4-44-2000000-4422-24-44-40000000-44-440000000000002-2-22-220000000000000000000002-22-20000000000000000000000000000000
χ1014-4-44-2000000-4422-2-44-4400000004-4-440000000000002-22-22-2000000000000000000000-222-20000000000000000000000000000000
χ1024-4-44-2000000-4422-2-44-440000000-444-40000000000002-22-22-20000000000000000000002-2-220000000000000000000000000000000
χ10388-8-8-4000000004-4442−42−42420000000000000000000000000−222222−2200000000000000000000000000000000000000000000000000000000
χ10488-8-8-4000000004-44−424242−42000000000000000000000000022−22−222200000000000000000000000000000000000000000000000000000000
χ1058-8-88-40000008-844-4000000000000000000000000000-44000000000000000000000000000000000000000000000000000000000000

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