Finite Group Databasebeta

← Group #10824325

Character table — Group #10824325

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order1222222244444444344444444666666612121212121212124444444412121212121212121212121212121212121212121212121222224444666666661212121212121212888888888888888822444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ911111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1722222222222222222-2-2-2-2-2-2-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ3022222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ3122222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111-2-222-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ3222222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111-2-222-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-11111111122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-11111111122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ37222-2-22-2-22i2i2i2i−2i−2i−2i−2i200000000222-2-2-2-22i2i2i2i−2i−2i−2i−2i2-22i−2i00000000000022-2-200002i2i−2i−2i000000000000000000000000000022−2−2−i2−i2i2i222−2−2−i2−i2i2i200000000
χ38222-2-22-2-22i2i2i2i−2i−2i−2i−2i200000000222-2-2-2-22i2i2i2i−2i−2i−2i−2i2-22i−2i00000000000022-2-200002i2i−2i−2i0000000000000000000000000000−2−222i2i2−i2−i2−2−222i2i2−i2−i200000000
χ39222-2-22-2-22i2i2i2i−2i−2i−2i−2i200000000222-2-2-2-22i2i2i2i−2i−2i−2i−2i-22−2i2i000000000000-2-2220000−2i−2i2i2i000000000000000000000000000022−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000
χ40222-2-22-2-22i2i2i2i−2i−2i−2i−2i200000000222-2-2-2-22i2i2i2i−2i−2i−2i−2i-22−2i2i000000000000-2-2220000−2i−2i2i2i0000000000000000000000000000−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000
χ41222-2-22-2-2−2i−2i−2i−2i2i2i2i2i200000000222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-2−2i2i00000000000022-2-20000−2i−2i2i2i000000000000000000000000000022−2−2i2i2−i2−i222−2−2i2i2−i2−i200000000
χ42222-2-22-2-2−2i−2i−2i−2i2i2i2i2i200000000222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-2−2i2i00000000000022-2-20000−2i−2i2i2i0000000000000000000000000000−2−222−i2−i2i2i2−2−222−i2−i2i2i200000000
χ43222-2-22-2-2−2i−2i−2i−2i2i2i2i2i200000000222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-222i−2i000000000000-2-22200002i2i−2i−2i000000000000000000000000000022−2−2i2i2−i2−i2−2−222−i2−i2i2i200000000
χ44222-2-22-2-2−2i−2i−2i−2i2i2i2i2i200000000222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-222i−2i000000000000-2-22200002i2i−2i−2i0000000000000000000000000000−2−222−i2−i2i2i222−2−2i2i2−i2−i200000000
χ4522-22-2-22-22i2i−2i−2i2i2i−2i−2i22-22i2i−2i−2i2-22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000022-2-22i2i−2i−2i0000000000000000002-2002i−2i00002-22-200002i−2i2i−2i000000000000000000000000
χ4622-22-2-22-22i2i−2i−2i2i2i−2i−2i22-22i2i−2i−2i2-22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000022-2-22i2i−2i−2i000000000000000000-2200−2i2i0000-22-220000−2i2i−2i2i000000000000000000000000
χ4722-22-2-22-22i2i−2i−2i2i2i−2i−2i2-22−2i−2i2i2i-222-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-2-222−2i−2i2i2i00000000000000002-2002i−2i002-22-200002i−2i2i−2i0000000000000000000000000000
χ4822-22-2-22-22i2i−2i−2i2i2i−2i−2i2-22−2i−2i2i2i-222-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-2-222−2i−2i2i2i0000000000000000-2200−2i2i00-22-220000−2i2i−2i2i0000000000000000000000000000
χ4922-22-2-22-22i2i−2i−2i2i2i−2i−2i-12-22i2i−2i−2i2-2-111-1-111−i−iii−i−iii00000000-1-111−i−iii−i3i3−i3i3−i3−i3i3i33−33−333−3−3002-2002i−2i−i3i3i3−i3-11-113−3−33−ii−ii000000000000000000000000
χ5022-22-2-22-22i2i−2i−2i2i2i−2i−2i-12-22i2i−2i−2i2-2-111-1-111−i−iii−i−iii00000000-1-111−i−iii−i3i3−i3i3−i3−i3i3i33−33−333−3−300-2200−2i2ii3−i3−i3i31-11-1−333−3i−ii−i000000000000000000000000
χ5122-22-2-22-22i2i−2i−2i2i2i−2i−2i-12-22i2i−2i−2i2-2-111-1-111−i−iii−i−iii00000000-1-111−i−iiii3−i3i3−i3i3i3−i3−i3−33−33−3−333002-2002i−2ii3−i3−i3i3-11-11−333−3−ii−ii000000000000000000000000
χ5222-22-2-22-22i2i−2i−2i2i2i−2i−2i-12-22i2i−2i−2i2-2-111-1-111−i−iii−i−iii00000000-1-111−i−iiii3−i3i3−i3i3i3−i3−i3−33−33−3−33300-2200−2i2i−i3i3i3−i31-11-13−3−33i−ii−i000000000000000000000000
χ5322-22-2-22-22i2i−2i−2i2i2i−2i−2i-1-22−2i−2i2i2i-22-111-1-111−i−iii−i−iii0000000011-1-1ii−i−i−i3i3−i3i3i3i3−i3−i33−33−3−3−3332-2002i−2i00-11-11−i3i3i3−i3−ii−ii3−3−33000000000000000000000000
χ5422-22-2-22-22i2i−2i−2i2i2i−2i−2i-1-22−2i−2i2i2i-22-111-1-111−i−iii−i−iii0000000011-1-1ii−i−i−i3i3−i3i3i3i3−i3−i33−33−3−3−333-2200−2i2i001-11-1i3−i3−i3i3i−ii−i−333−3000000000000000000000000
χ5522-22-2-22-22i2i−2i−2i2i2i−2i−2i-1-22−2i−2i2i2i-22-111-1-111−i−iii−i−iii0000000011-1-1ii−i−ii3−i3i3−i3−i3−i3i3i3−33−3333−3−32-2002i−2i00-11-11i3−i3−i3i3−ii−ii−333−3000000000000000000000000
χ5622-22-2-22-22i2i−2i−2i2i2i−2i−2i-1-22−2i−2i2i2i-22-111-1-111−i−iii−i−iii0000000011-1-1ii−i−ii3−i3i3−i3−i3−i3i3i3−33−3333−3−3-2200−2i2i001-11-1−i3i3i3−i3i−ii−i3−3−33000000000000000000000000
χ5722-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2−2i−2i2i2i2-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000022-2-2−2i−2i2i2i0000000000000000002-200−2i2i00002-22-20000−2i2i−2i2i000000000000000000000000
χ5822-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2−2i−2i2i2i2-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000022-2-2−2i−2i2i2i000000000000000000-22002i−2i0000-22-2200002i−2i2i−2i000000000000000000000000
χ5922-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-222i2i−2i−2i-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-2-2222i2i−2i−2i00000000000000002-200−2i2i002-22-20000−2i2i−2i2i0000000000000000000000000000
χ6022-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-222i2i−2i−2i-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-2-2222i2i−2i−2i0000000000000000-22002i−2i00-22-2200002i−2i2i−2i0000000000000000000000000000
χ6122-22-2-22-2−2i−2i2i2i−2i−2i2i2i-12-2−2i−2i2i2i2-2-111-1-111ii−i−iii−i−i00000000-1-111ii−i−i−i3i3−i3i3−i3−i3i3i3−33−33−3−333002-200−2i2i−i3i3i3−i3-11-11−333−3i−ii−i000000000000000000000000
χ6222-22-2-22-2−2i−2i2i2i−2i−2i2i2i-12-2−2i−2i2i2i2-2-111-1-111ii−i−iii−i−i00000000-1-111ii−i−i−i3i3−i3i3−i3−i3i3i3−33−33−3−33300-22002i−2ii3−i3−i3i31-11-13−3−33−ii−ii000000000000000000000000
χ6322-22-2-22-2−2i−2i2i2i−2i−2i2i2i-12-2−2i−2i2i2i2-2-111-1-111ii−i−iii−i−i00000000-1-111ii−i−ii3−i3i3−i3i3i3−i3−i33−33−333−3−3002-200−2i2ii3−i3−i3i3-11-113−3−33i−ii−i000000000000000000000000
χ6422-22-2-22-2−2i−2i2i2i−2i−2i2i2i-12-2−2i−2i2i2i2-2-111-1-111ii−i−iii−i−i00000000-1-111ii−i−ii3−i3i3−i3i3i3−i3−i33−33−333−3−300-22002i−2i−i3i3i3−i31-11-1−333−3−ii−ii000000000000000000000000
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χ1204-4-4-4-4444-444-44-4-44-20000000022-22-22-22-2-22-222-20000-444-40000000000002-22-20000-22-22000000000000000000000000000000000000000000000000

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