Finite Group Databasebeta

← Group #10963939

Character table — Group #10963939

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111111111112222222222222222444444444444444444446666666666666666888888888888888888888888888888881212121212121212121212121212121224242424
order122222224444444436666666121212121212121222224444444444444444222222224444444424446666661212121212121212121212121212121212121212121222444444444444442444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111-1-1-1-1
χ911111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-11
χ1011111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1
χ1111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1111111-111-1
χ1211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-111-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-11-1-11
χ1311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1
χ1411111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11
χ1511111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ1611111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1
χ1711111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11-11
χ1811111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-1
χ1911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11-11-1
χ2011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-11-11
χ2111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ2211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-11-11
χ2311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-11-11
χ2411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1-1-11-11-1
χ2511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111
χ2611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ2711111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1
χ2811111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-111
χ2911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1111111-1-1
χ3011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-111-1-11111-1-1-1-1-1-111
χ3111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-111
χ3211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-111-1-1
χ332222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ342222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2-1-1-1-111-1-1-1-1111111111111-1-1-1-11100000000000000000000
χ352222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-22222222222-2-20000000000000000-2-2-2-2-1-111111111-1-1-1-1-1-1-1-11111-1-1111100000000000000000000
χ362222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-200000000000000002222-1-111-1-1111111111111-1-1-1-1-1-111-1-100000000000000000000
χ372222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-22222-2-2-2-2-2-22200000000000000002-2-2211-1-1-1-11111-1-1-1-11111111111-1-1-1-100000000000000000000
χ382222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-2-2-22222-2-2220000000000000000-222-211-1-11111111111-1-1-1-1-1-1-1-111-1-11100000000000000000000
χ392222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-222-2111111-1-1-1-1-1-1-1-11111-1-1-1-111111100000000000000000000
χ402222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000002-2-221111-1-1-1-1-1-11111-1-1-1-111111111-1-100000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111222222-2-222-2-222-2-2-2-2-2-2000000000000000022-2-2-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111100000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111222222-2-2-2-222-2-222-2-2-2-20000000000000000-2-222-1-1-1-111-1-11111-1-111-1-111-1-11111-1-100000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111122-2-2-2-22222-2-222-2-2-2-2220000000000000000-2-222-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-100000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111122-2-2-2-222-2-222-2-222-2-222000000000000000022-2-2-1-111-1-111-1-111-1-111-1-1-1-11111-1-11100000000000000000000
χ4522222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-222-2-22222-2-2-2-22222-2-200000000000000002-22-211-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111100000000000000000000
χ4622222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-222-2-222-2-22222-2-222-2-20000000000000000-22-2211-1-11111-1-111-1-1-1-111-1-111-1-111-1-100000000000000000000
χ4722222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-222-2-222-2-2-2-22222220000000000000000-22-22111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-100000000000000000000
χ4822222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-222-2-2-2-22222-2-2222200000000000000002-22-21111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11100000000000000000000
χ49222-2-2-2-222222-2-2-2-2222-2-2-2-222222-2-2-2-20000000000002i−2i2i−2i000022-2-2000022-2-200000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i000000
χ50222-2-2-2-222222-2-2-2-2222-2-2-2-222222-2-2-2-20000000000002i−2i2i−2i0000-2-2220000-2-22200000000000000000000002i−2i2i−2i00000000000000000000−2i2i−2i2i000000
χ51222-2-2-2-222222-2-2-2-2222-2-2-2-222222-2-2-2-2000000000000−2i2i−2i2i000022-2-2000022-2-20000000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i000000
χ52222-2-2-2-222222-2-2-2-2222-2-2-2-222222-2-2-2-2000000000000−2i2i−2i2i0000-2-2220000-2-2220000000000000000000000−2i2i−2i2i000000000000000000002i−2i2i−2i000000
χ53222-2-2-2-22-2-2-2-22222222-2-2-2-22-2-2-2-222220000000000002i−2i−2i2i000022-2-20000-2-22200000000000000000000002i−2i−2i2i000000000000000000002i−2i−2i2i000000
χ54222-2-2-2-22-2-2-2-22222222-2-2-2-22-2-2-2-222220000000000002i−2i−2i2i0000-2-222000022-2-200000000000000000000002i−2i−2i2i00000000000000000000−2i2i2i−2i000000
χ55222-2-2-2-22-2-2-2-22222222-2-2-2-22-2-2-2-22222000000000000−2i2i2i−2i000022-2-20000-2-2220000000000000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i000000
χ56222-2-2-2-22-2-2-2-22222222-2-2-2-22-2-2-2-22222000000000000−2i2i2i−2i0000-2-222000022-2-20000000000000000000000−2i2i2i−2i000000000000000000002i−2i−2i2i000000
χ5722-222-2-2-22i2i−2i−2i2i2i−2i−2i22-222-2-2-22i2i−2i−2i2i2i−2i−2i00002-22i−2i000000000000000022-2-200002i2i−2i−2i00000000002-22i−2i0000000000000000002-20000000000002i−2i0000
χ5822-222-2-2-22i2i−2i−2i2i2i−2i−2i22-222-2-2-22i2i−2i−2i2i2i−2i−2i00002-22i−2i0000000000000000-2-2220000−2i−2i2i2i00000000002-22i−2i000000000000000000-22000000000000−2i2i0000
χ5922-222-2-2-22i2i−2i−2i2i2i−2i−2i22-222-2-2-22i2i−2i−2i2i2i−2i−2i0000-22−2i2i000000000000000022-2-200002i2i−2i−2i0000000000-22−2i2i000000000000000000-22000000000000−2i2i0000
χ6022-222-2-2-22i2i−2i−2i2i2i−2i−2i22-222-2-2-22i2i−2i−2i2i2i−2i−2i0000-22−2i2i0000000000000000-2-2220000−2i−2i2i2i0000000000-22−2i2i0000000000000000002-20000000000002i−2i0000
χ6122-222-2-2-2−2i−2i2i2i−2i−2i2i2i22-222-2-2-2−2i−2i2i2i−2i−2i2i2i00002-2−2i2i000000000000000022-2-20000−2i−2i2i2i00000000002-2−2i2i0000000000000000002-2000000000000−2i2i0000
χ6222-222-2-2-2−2i−2i2i2i−2i−2i2i2i22-222-2-2-2−2i−2i2i2i−2i−2i2i2i00002-2−2i2i0000000000000000-2-22200002i2i−2i−2i00000000002-2−2i2i000000000000000000-220000000000002i−2i0000
χ6322-222-2-2-2−2i−2i2i2i−2i−2i2i2i22-222-2-2-2−2i−2i2i2i−2i−2i2i2i0000-222i−2i000000000000000022-2-20000−2i−2i2i2i0000000000-222i−2i000000000000000000-220000000000002i−2i0000
χ6422-222-2-2-2−2i−2i2i2i−2i−2i2i2i22-222-2-2-2−2i−2i2i2i−2i−2i2i2i0000-222i−2i0000000000000000-2-22200002i2i−2i−2i0000000000-222i−2i0000000000000000002-2000000000000−2i2i0000
χ652-222-22-2-22i−2i2i−2i2i−2i2i−2i2-222-22-2-22i−2i2i−2i2i−2i2i−2i002-2000000000000002i−2i00002-22-200002i−2i2i−2i0000002-2000000000000000000002i−2i00002-22i−2i00000000000000
χ662-222-22-2-22i−2i2i−2i2i−2i2i−2i2-222-22-2-22i−2i2i−2i2i−2i2i−2i002-2000000000000002i−2i0000-22-220000−2i2i−2i2i0000002-2000000000000000000002i−2i0000-22−2i2i00000000000000
χ672-222-22-2-22i−2i2i−2i2i−2i2i−2i2-222-22-2-22i−2i2i−2i2i−2i2i−2i00-2200000000000000−2i2i00002-22-200002i−2i2i−2i000000-2200000000000000000000−2i2i0000-22−2i2i00000000000000
χ682-222-22-2-22i−2i2i−2i2i−2i2i−2i2-222-22-2-22i−2i2i−2i2i−2i2i−2i00-2200000000000000−2i2i0000-22-220000−2i2i−2i2i000000-2200000000000000000000−2i2i00002-22i−2i00000000000000
χ692-222-22-2-2−2i2i−2i2i−2i2i−2i2i2-222-22-2-2−2i2i−2i2i−2i2i−2i2i002-200000000000000−2i2i00002-22-20000−2i2i−2i2i0000002-200000000000000000000−2i2i00002-2−2i2i00000000000000
χ702-222-22-2-2−2i2i−2i2i−2i2i−2i2i2-222-22-2-2−2i2i−2i2i−2i2i−2i2i002-200000000000000−2i2i0000-22-2200002i−2i2i−2i0000002-200000000000000000000−2i2i0000-222i−2i00000000000000
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χ1084-44-44-44-44i−4i4i−4i−4i4i−4i4i-22-22-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000−2i32i323−2300000000000000000000000000
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χ1124-44-44-44-4−4i4i−4i4i4i−4i4i−4i-22-22-22-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000002i3−2i323−2300000000000000000000000000
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χ1194-4-4-444-44-444-44-4-44-2222-2-22-22-2-22-222-2000000004-4-4400000000000000000000000000000000000000-222-20000000000000000000000000000000000
χ1204-4-4-444-44-444-44-4-44-2222-2-22-22-2-22-222-200000000-444-4000000000000000000000000000000000000002-2-220000000000000000000000000000000000

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