Finite Group Databasebeta

← Group #10824327

Character table — Group #10824327

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424
order122222224444444434444444466666661212121212121212121212121212121212121212121212124444444488888888888888881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242222224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ1611111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ1722222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111112222-2-2-2-20000000000000000-1-1-1-11111-1-1-1-111113333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−30000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111112222-2-2-2-20000000000000000-1-1-1-11111-1-1-1-11111−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−333330000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222200000000000000001111-1-1-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−333330000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222200000000000000001111-1-1-1-11111-1-1-1-1−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−30000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-22200000000000000002222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-122-2-222-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000
χ3022222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-122-2-222-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-2-222-2-2222222-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000
χ3222222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-2-222-2-222-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-13333−3−3−3−3−3−3−3−333333333−3−3−3−3−3−3−3−333330000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-1−3−3−3−333333333−3−3−3−3−3−3−3−333333333−3−3−3−30000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-111113333−3−3−3−3−3−3−3−33333−3−3−3−333333333−3−3−3−30000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-11111−3−3−3−333333333−3−3−3−33333−3−3−3−3−3−3−3−333330000000000000000
χ37222-2-22-2-22i2i2i2i−2i−2i−2i−2i200000000222-2-2-2-200002i2i2i2i−2i−2i−2i−2i0000000000002-22i−2i000022−2−2−i2−i2i2i222−2−2−i2−i2i2i222-2-200002i2i−2i−2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ38222-2-22-2-22i2i2i2i−2i−2i−2i−2i200000000222-2-2-2-200002i2i2i2i−2i−2i−2i−2i0000000000002-22i−2i0000−2−222i2i2−i2−i2−2−222i2i2−i2−i222-2-200002i2i−2i−2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ39222-2-22-2-22i2i2i2i−2i−2i−2i−2i200000000222-2-2-2-200002i2i2i2i−2i−2i−2i−2i000000000000-22−2i2i000022−2−2−i2−i2i2i2−2−222i2i2−i2−i2-2-2220000−2i−2i2i2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ40222-2-22-2-22i2i2i2i−2i−2i−2i−2i200000000222-2-2-2-200002i2i2i2i−2i−2i−2i−2i000000000000-22−2i2i0000−2−222i2i2−i2−i222−2−2−i2−i2i2i2-2-2220000−2i−2i2i2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ41222-2-22-2-22i2i2i2i−2i−2i−2i−2i-100000000-1-1-1111133−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i333−3−32-22i−2i000022−2−2−i2−i2i2i222−2−2−i2−i2i2i2-1-11133−3−3−i−iii−i3−i3i3i3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ42222-2-22-2-22i2i2i2i−2i−2i−2i−2i-100000000-1-1-1111133−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i333−3−32-22i−2i0000−2−222i2i2−i2−i2−2−222i2i2−i2−i2-1-11133−3−3−i−iii−i3−i3i3i3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ43222-2-22-2-22i2i2i2i−2i−2i−2i−2i-100000000-1-1-1111133−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i333−3−3-22−2i2i000022−2−2−i2−i2i2i2−2−222i2i2−i2−i211-1-1−3−333ii−i−ii3i3−i3−i3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ44222-2-22-2-22i2i2i2i−2i−2i−2i−2i-100000000-1-1-1111133−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i333−3−3-22−2i2i0000−2−222i2i2−i2−i222−2−2−i2−i2i2i211-1-1−3−333ii−i−ii3i3−i3−i3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ45222-2-22-2-22i2i2i2i−2i−2i−2i−2i-100000000-1-1-11111−3−333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3−3−3332-22i−2i000022−2−2−i2−i2i2i222−2−2−i2−i2i2i2-1-111−3−333−i−iiii3i3−i3−i3ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
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χ1404-44-44-44-44i−4i4i−4i−4i4i−4i4i-2000000002-222-22-22323−23−23−2i2i−2i2i2i−2i2i−2i−2i32i3−2i32i32i3−2i32i3−2i3−23−2323230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-44-44-44-44i−4i4i−4i−4i4i−4i4i-2000000002-222-22-2−23−232323−2i2i−2i2i2i−2i2i−2i2i3−2i32i3−2i3−2i32i3−2i32i32323−23−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-44-44-44-4−4i4i−4i4i4i−4i4i−4i400000000-44-4-44-440000−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-44-44-44-4−4i4i−4i4i4i−4i4i−4i-2000000002-222-22-22323−23−232i−2i2i−2i−2i2i−2i2i2i3−2i32i3−2i3−2i32i3−2i32i3−23−2323230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-44-44-44-4−4i4i−4i4i4i−4i4i−4i-2000000002-222-22-2−23−2323232i−2i2i−2i−2i2i−2i2i−2i32i3−2i32i32i3−2i32i3−2i32323−23−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.