Finite Group Databasebeta

← Group #10824369

Character table — Group #10824369

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12222222444444443444444446666666121212121212121244444444121212121212121212121212121212121212121212121212224444446666121212121212121212121212888888888888888822444444
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ911111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1722222222222222222-2-2-2-2-2-2-2-22222222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
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
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-111112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ3022222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ3122222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111-2-222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-1111122-2-222-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ3222222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111-2-222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-11111-2-222-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ37222-2-2-2-222222-2-2-2-220000000022-2-22-2-22222-2-2-2-200002i−2i2i−2i00002i2i−2i−2i00002i2i−2i−2i0000000000000000000000000000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000
χ38222-2-2-2-222222-2-2-2-220000000022-2-22-2-22222-2-2-2-200002i−2i2i−2i00002i2i−2i−2i00002i2i−2i−2i00000000000000000000000000000000−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000
χ39222-2-2-2-222222-2-2-2-220000000022-2-22-2-22222-2-2-2-20000−2i2i−2i2i0000−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000000000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000
χ40222-2-2-2-222222-2-2-2-220000000022-2-22-2-22222-2-2-2-20000−2i2i−2i2i0000−2i−2i2i2i0000−2i−2i2i2i00000000000000000000000000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000
χ41222-2-2-2-22-2-2-2-2222220000000022-2-22-2-2-2-2-2-2222200002i−2i−2i2i00002i2i−2i−2i0000−2i−2i2i2i0000000000000000000000000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000
χ42222-2-2-2-22-2-2-2-2222220000000022-2-22-2-2-2-2-2-2222200002i−2i−2i2i00002i2i−2i−2i0000−2i−2i2i2i00000000000000000000000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000
χ43222-2-2-2-22-2-2-2-2222220000000022-2-22-2-2-2-2-2-222220000−2i2i2i−2i0000−2i−2i2i2i00002i2i−2i−2i0000000000000000000000000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000
χ44222-2-2-2-22-2-2-2-2222220000000022-2-22-2-2-2-2-2-222220000−2i2i2i−2i0000−2i−2i2i2i00002i2i−2i−2i00000000000000000000000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000
χ4522-22-22-2-22i2i−2i−2i2i2i−2i−2i2000000002-22-2-22-22i2i−2i−2i2i2i−2i−2i2-22i−2i000022-2-200002i2i−2i−2i0000000000000000000000000000000000002−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000
χ4622-22-22-2-22i2i−2i−2i2i2i−2i−2i2000000002-22-2-22-22i2i−2i−2i2i2i−2i−2i2-22i−2i000022-2-200002i2i−2i−2i000000000000000000000000000000000000−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000
χ4722-22-22-2-22i2i−2i−2i2i2i−2i−2i2000000002-22-2-22-22i2i−2i−2i2i2i−2i−2i-22−2i2i0000-2-2220000−2i−2i2i2i0000000000000000000000000000000000002−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000
χ4822-22-22-2-22i2i−2i−2i2i2i−2i−2i2000000002-22-2-22-22i2i−2i−2i2i2i−2i−2i-22−2i2i0000-2-2220000−2i−2i2i2i000000000000000000000000000000000000−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000
χ4922-22-22-2-2−2i−2i2i2i−2i−2i2i2i2000000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-2−2i2i000022-2-20000−2i−2i2i2i0000000000000000000000000000000000002−22−2i2−i2i2−i22−22−2i2−i2i2−i200000000
χ5022-22-22-2-2−2i−2i2i2i−2i−2i2i2i2000000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-2−2i2i000022-2-20000−2i−2i2i2i000000000000000000000000000000000000−22−22−i2i2−i2i2−22−22−i2i2−i2i200000000
χ5122-22-22-2-2−2i−2i2i2i−2i−2i2i2i2000000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i-222i−2i0000-2-22200002i2i−2i−2i0000000000000000000000000000000000002−22−2i2−i2i2−i2−22−22−i2i2−i2i200000000
χ5222-22-22-2-2−2i−2i2i2i−2i−2i2i2i2000000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i-222i−2i0000-2-22200002i2i−2i−2i000000000000000000000000000000000000−22−22−i2i2−i2i22−22−2i2−i2i2−i200000000
χ5322-2-22-22-22i2i−2i−2i−2i−2i2i2i22-22i2i−2i−2i2-22-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000000022-2-22i2i−2i−2i000000000000000000000000000000002i−2i−2i2i2-2-2200000000
χ5422-2-22-22-22i2i−2i−2i−2i−2i2i2i22-22i2i−2i−2i2-22-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000000022-2-22i2i−2i−2i00000000000000000000000000000000−2i2i2i−2i-222-200000000
χ5522-2-22-22-22i2i−2i−2i−2i−2i2i2i2-22−2i−2i2i2i-222-2-22-2-222i2i−2i−2i−2i−2i2i2i000000000000000000000000-2-222−2i−2i2i2i0000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ5622-2-22-22-22i2i−2i−2i−2i−2i2i2i2-22−2i−2i2i2i-222-2-22-2-222i2i−2i−2i−2i−2i2i2i000000000000000000000000-2-222−2i−2i2i2i000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ5722-2-22-22-2−2i−2i2i2i2i2i−2i−2i22-2−2i−2i2i2i2-22-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000022-2-2−2i−2i2i2i000000000000000000000000000000002i−2i−2i2i-222-200000000
χ5822-2-22-22-2−2i−2i2i2i2i2i−2i−2i22-2−2i−2i2i2i2-22-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000022-2-2−2i−2i2i2i00000000000000000000000000000000−2i2i2i−2i2-2-2200000000
χ5922-2-22-22-2−2i−2i2i2i2i2i−2i−2i2-222i2i−2i−2i-222-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000-2-2222i2i−2i−2i0000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ6022-2-22-22-2−2i−2i2i2i2i2i−2i−2i2-222i2i−2i−2i-222-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000-2-2222i2i−2i−2i000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ612-22-222-2-22i−2i2i−2i2i−2i2i−2i22-22i−2i2i−2i-22-222-2-2-222i−2i2i−2i2i−2i2i−2i0000000000000000000000002-22-22i−2i2i−2i2-200002i−2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ622-22-222-2-22i−2i2i−2i2i−2i2i−2i22-22i−2i2i−2i-22-222-2-2-222i−2i2i−2i2i−2i2i−2i0000000000000000000000002-22-22i−2i2i−2i-220000−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ632-22-222-2-22i−2i2i−2i2i−2i2i−2i2-22−2i2i−2i2i2-2-222-2-2-222i−2i2i−2i2i−2i2i−2i000000000000000000000000-22-22−2i2i−2i2i002i−2i2-200000000002i−2i2i−2i2-22-2000000000000000000000000
χ642-22-222-2-22i−2i2i−2i2i−2i2i−2i2-22−2i2i−2i2i2-2-222-2-2-222i−2i2i−2i2i−2i2i−2i000000000000000000000000-22-22−2i2i−2i2i00−2i2i-220000000000−2i2i−2i2i-22-22000000000000000000000000
χ652-22-222-2-22i−2i2i−2i2i−2i2i−2i-12-22i−2i2i−2i-221-1-1111-1−ii−ii−ii−ii000000003−33−33−33−3−i3i3−i3i3−i3i3−i3i3-11-11−ii−ii2-200002i−2i-11-11−ii−ii3−3−33−i3i3i3−i3000000000000000000000000
χ662-22-222-2-22i−2i2i−2i2i−2i2i−2i-12-22i−2i2i−2i-221-1-1111-1−ii−ii−ii−ii000000003−33−33−33−3−i3i3−i3i3−i3i3−i3i3-11-11−ii−ii-220000−2i2i1-11-1i−ii−i−333−3i3−i3−i3i3000000000000000000000000
χ672-22-222-2-22i−2i2i−2i2i−2i2i−2i-12-22i−2i2i−2i-221-1-1111-1−ii−ii−ii−ii00000000−33−33−33−33i3−i3i3−i3i3−i3i3−i3-11-11−ii−ii2-200002i−2i-11-11−ii−ii−333−3i3−i3−i3i3000000000000000000000000
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χ1204-4-4-4-4444-444-4-444-4-20000000022-2-2-2222-2-222-2-2200000000−232323−230000−232323−23000000000000000000000000000000000000000000000000000000000000

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