Finite Group Databasebeta

← Group #11664582

Character table — Group #11664582

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222228888222244444444444444161616163333666666666666662424242411112222222222222288882222444444444444441616161633336666666666666624242424
order12224444448888888822443666121212121212242424242424242466121222224444448888888822442222444444888888882244666612121212121224242424242424246612122222444444888888882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1
χ31111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ41111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ51111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1111111-1-1-1-11-11-1
χ61111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-11-11
χ71111-1-1-1-111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-111111-1-11
χ81111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-111-1-1-1-11111-111-1
χ9222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000
χ102222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-2000000000000
χ1122-2-2002-200i2i2−i2−i2i2i2−i2−i2000022-2-2002-200i2i2−i2−i2i2i2−i2−i2000022-2-2002-200i2i2−i2−i2i2i2−i2−i2000022-2-2002-200i2i2−i2−i2i2i2−i2−i2000022-2-2002-200i2i2−i2−i2i2i2−i2−i2000022-2-2002-200i2i2−i2−i2i2i2−i2−i20000
χ1222-2-2002-200−i2−i2i2i2−i2−i2i2i2000022-2-2002-200−i2−i2i2i2−i2−i2i2i2000022-2-2002-200−i2−i2i2i2−i2−i2i2i2000022-2-2002-200−i2−i2i2i2−i2−i2i2i2000022-2-2002-200−i2−i2i2i2−i2−i2i2i2000022-2-2002-200−i2−i2i2i2−i2−i2i2i20000
χ1322-2-200-2200i2i2−i2−i2−i2−i2i2i2000022-2-200-2200i2i2−i2−i2−i2−i2i2i2000022-2-200-2200i2i2−i2−i2−i2−i2i2i2000022-2-200-2200i2i2−i2−i2−i2−i2i2i2000022-2-200-2200i2i2−i2−i2−i2−i2i2i2000022-2-200-2200i2i2−i2−i2−i2−i2i2i20000
χ1422-2-200-2200−i2−i2i2i2i2i2−i2−i2000022-2-200-2200−i2−i2i2i2i2i2−i2−i2000022-2-200-2200−i2−i2i2i2i2i2−i2−i2000022-2-200-2200−i2−i2i2i2i2i2−i2−i2000022-2-200-2200−i2−i2i2i2i2i2−i2−i2000022-2-200-2200−i2−i2i2i2i2i2−i2−i20000
χ152-22-22-20000i2−i2i2−i2i2−i2i2−i200002-22-22-20000i2−i2i2−i2i2−i2i2−i200002-22-22-20000i2−i2i2−i2i2−i2i2−i200002-22-22-20000i2−i2i2−i2i2−i2i2−i200002-22-22-20000i2−i2i2−i2i2−i2i2−i200002-22-22-20000i2−i2i2−i2i2−i2i2−i20000
χ162-22-22-20000−i2i2−i2i2−i2i2−i2i200002-22-22-20000−i2i2−i2i2−i2i2−i2i200002-22-22-20000−i2i2−i2i2−i2i2−i2i200002-22-22-20000−i2i2−i2i2−i2i2−i2i200002-22-22-20000−i2i2−i2i2−i2i2−i2i200002-22-22-20000−i2i2−i2i2−i2i2−i2i20000
χ172-22-2-220000i2−i2i2−i2−i2i2−i2i200002-22-2-220000i2−i2i2−i2−i2i2−i2i200002-22-2-220000i2−i2i2−i2−i2i2−i2i200002-22-2-220000i2−i2i2−i2−i2i2−i2i200002-22-2-220000i2−i2i2−i2−i2i2−i2i200002-22-2-220000i2−i2i2−i2−i2i2−i2i20000
χ182-22-2-220000−i2i2−i2i2i2−i2i2−i200002-22-2-220000−i2i2−i2i2i2−i2i2−i200002-22-2-220000−i2i2−i2i2i2−i2i2−i200002-22-2-220000−i2i2−i2i2i2−i2i2−i200002-22-2-220000−i2i2−i2i2i2−i2i2−i200002-22-2-220000−i2i2−i2i2i2−i2i2−i20000
χ192-2-2200002-200002-2-2200002-2-2200002-200002-2-2200002-2-2200002-200002-2-2200002-2-2200002-200002-2-2200002-2-2200002-200002-2-2200002-2-2200002-200002-2-220000
χ202-2-2200002-20000-222-200002-2-2200002-20000-222-200002-2-2200002-20000-222-200002-2-2200002-20000-222-200002-2-2200002-20000-222-200002-2-2200002-20000-222-20000
χ212-2-220000-222-2-22000000002-2-220000-222-2-22000000002-2-220000-222-2-22000000002-2-220000-222-2-22000000002-2-220000-222-2-22000000002-2-220000-222-2-2200000000
χ222-2-220000-22-222-2000000002-2-220000-22-222-2000000002-2-220000-22-222-2000000002-2-220000-22-222-2000000002-2-220000-22-222-2000000002-2-220000-22-222-200000000
χ2311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ251111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ261111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ271111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-1-1-11111-11-111111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-1-1-11111-11-11
χ281111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-111111-11-11111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-111111-11-1
χ291111-1-1-1-111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-11111-1-11111-1-1-1-1-111-11111-1-1-1-111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-11111-1-11111-1-1-1-1-111-1
χ301111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-111-1-1-1-11111-111-1-1-1-1-11111-1-11111-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-111-1-1-1-11111-111-1-1-1-1-11111-1-11111-1-1-1-11-1-11
χ31222222-2-2-2-2000000000000222222-2-2-2-2000000000000-2-2-2-2-2-22222000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000-2-2-2-2-2-22222000000000000
χ322222-2-222-2-20000000000002222-2-222-2-2000000000000-2-2-2-222-2-2220000000000002222-2-222-2-20000000000002222-2-222-2-2000000000000-2-2-2-222-2-222000000000000
χ3322-2-2002-200i2i2−i2−i2i2i2−i2−i2000022-2-2002-200i2i2−i2−i2i2i2−i2−i20000-2-22200-2200−i2−i2i2i2−i2−i2i2i2000022-2-2002-200i2i2−i2−i2i2i2−i2−i2000022-2-2002-200i2i2−i2−i2i2i2−i2−i20000-2-22200-2200−i2−i2i2i2−i2−i2i2i20000
χ3422-2-2002-200−i2−i2i2i2−i2−i2i2i2000022-2-2002-200−i2−i2i2i2−i2−i2i2i20000-2-22200-2200i2i2−i2−i2i2i2−i2−i2000022-2-2002-200−i2−i2i2i2−i2−i2i2i2000022-2-2002-200−i2−i2i2i2−i2−i2i2i20000-2-22200-2200i2i2−i2−i2i2i2−i2−i20000
χ3522-2-200-2200i2i2−i2−i2−i2−i2i2i2000022-2-200-2200i2i2−i2−i2−i2−i2i2i20000-2-222002-200−i2−i2i2i2i2i2−i2−i2000022-2-200-2200i2i2−i2−i2−i2−i2i2i2000022-2-200-2200i2i2−i2−i2−i2−i2i2i20000-2-222002-200−i2−i2i2i2i2i2−i2−i20000
χ3622-2-200-2200−i2−i2i2i2i2i2−i2−i2000022-2-200-2200−i2−i2i2i2i2i2−i2−i20000-2-222002-200i2i2−i2−i2−i2−i2i2i2000022-2-200-2200−i2−i2i2i2i2i2−i2−i2000022-2-200-2200−i2−i2i2i2i2i2−i2−i20000-2-222002-200i2i2−i2−i2−i2−i2i2i20000
χ372-22-22-20000i2−i2i2−i2i2−i2i2−i200002-22-22-20000i2−i2i2−i2i2−i2i2−i20000-22-22-220000−i2i2−i2i2−i2i2−i2i200002-22-22-20000i2−i2i2−i2i2−i2i2−i200002-22-22-20000i2−i2i2−i2i2−i2i2−i20000-22-22-220000−i2i2−i2i2−i2i2−i2i20000
χ382-22-22-20000−i2i2−i2i2−i2i2−i2i200002-22-22-20000−i2i2−i2i2−i2i2−i2i20000-22-22-220000i2−i2i2−i2i2−i2i2−i200002-22-22-20000−i2i2−i2i2−i2i2−i2i200002-22-22-20000−i2i2−i2i2−i2i2−i2i20000-22-22-220000i2−i2i2−i2i2−i2i2−i20000
χ392-22-2-220000i2−i2i2−i2−i2i2−i2i200002-22-2-220000i2−i2i2−i2−i2i2−i2i20000-22-222-20000−i2i2−i2i2i2−i2i2−i200002-22-2-220000i2−i2i2−i2−i2i2−i2i200002-22-2-220000i2−i2i2−i2−i2i2−i2i20000-22-222-20000−i2i2−i2i2i2−i2i2−i20000
χ402-22-2-220000−i2i2−i2i2i2−i2i2−i200002-22-2-220000−i2i2−i2i2i2−i2i2−i20000-22-222-20000i2−i2i2−i2−i2i2−i2i200002-22-2-220000−i2i2−i2i2i2−i2i2−i200002-22-2-220000−i2i2−i2i2i2−i2i2−i20000-22-222-20000i2−i2i2−i2−i2i2−i2i20000
χ412-2-2200002-200002-2-2200002-2-2200002-200002-2-220000-222-20000-220000-222-200002-2-2200002-200002-2-2200002-2-2200002-200002-2-220000-222-20000-220000-222-20000
χ422-2-2200002-20000-222-200002-2-2200002-20000-222-20000-222-20000-2200002-2-2200002-2-2200002-20000-222-200002-2-2200002-20000-222-20000-222-20000-2200002-2-220000
χ432-2-220000-222-2-22000000002-2-220000-222-2-2200000000-222-200002-2-222-2000000002-2-220000-222-2-22000000002-2-220000-222-2-2200000000-222-200002-2-222-200000000
χ442-2-220000-22-222-2000000002-2-220000-22-222-200000000-222-200002-22-2-22000000002-2-220000-22-222-2000000002-2-220000-22-222-200000000-222-200002-22-2-2200000000
χ452222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000002222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ46222222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000000000222222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000000000
χ472222222222-2-2-2-2-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-111111111-1-11100000000000000000000002222222222-2-2-2-2-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1110000000000000000000000
χ482222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-11111111111-1-100000000000000000000002222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-11111111111-1-10000000000000000000000
χ492222-2-2-2-2222222-2-2-2-22-22-2-1-1-1-11111-1-1-1-1-1-11111-11-1100000000000000000000002222-2-2-2-2222222-2-2-2-22-22-2-1-1-1-11111-1-1-1-1-1-11111-11-110000000000000000000000
χ502222-2-2-2-2222222-2-2-2-2-22-22-1-1-1-11111-1-1-1-1-1-111111-11-100000000000000000000002222-2-2-2-2222222-2-2-2-2-22-22-1-1-1-11111-1-1-1-1-1-111111-11-10000000000000000000000
χ512222-2-2-2-222-2-2-2-222222-2-22-1-1-1-11111-1-11111-1-1-1-1-111-100000000000000000000002222-2-2-2-222-2-2-2-222222-2-22-1-1-1-11111-1-11111-1-1-1-1-111-10000000000000000000000
χ522222-2-2-2-222-2-2-2-22222-222-2-1-1-1-11111-1-11111-1-1-1-11-1-1100000000000000000000002222-2-2-2-222-2-2-2-22222-222-2-1-1-1-11111-1-11111-1-1-1-11-1-110000000000000000000000
χ53444444-4-4-4-4000000000000-2-2-2-2-2-222220000000000000000000000000000000000444444-4-4-4-4000000000000-2-2-2-2-2-222220000000000000000000000000000000000
χ544444-4-444-4-4000000000000-2-2-2-222-2-22200000000000000000000000000000000004444-4-444-4-4000000000000-2-2-2-222-2-2220000000000000000000000000000000000
χ5544-4-4004-4002i22i2−2i2−2i22i22i2−2i2−2i20000-2-22200-2200−i2−i2i2i2−i2−i2i2i20000000000000000000000000044-4-4004-4002i22i2−2i2−2i22i22i2−2i2−2i20000-2-22200-2200−i2−i2i2i2−i2−i2i2i200000000000000000000000000
χ5644-4-4004-400−2i2−2i22i22i2−2i2−2i22i22i20000-2-22200-2200i2i2−i2−i2i2i2−i2−i20000000000000000000000000044-4-4004-400−2i2−2i22i22i2−2i2−2i22i22i20000-2-22200-2200i2i2−i2−i2i2i2−i2−i200000000000000000000000000
χ5744-4-400-44002i22i2−2i2−2i2−2i2−2i22i22i20000-2-222002-200−i2−i2i2i2i2i2−i2−i20000000000000000000000000044-4-400-44002i22i2−2i2−2i2−2i2−2i22i22i20000-2-222002-200−i2−i2i2i2i2i2−i2−i200000000000000000000000000
χ5844-4-400-4400−2i2−2i22i22i22i22i2−2i2−2i20000-2-222002-200i2i2−i2−i2−i2−i2i2i20000000000000000000000000044-4-400-4400−2i2−2i22i22i22i22i2−2i2−2i20000-2-222002-200i2i2−i2−i2−i2−i2i2i200000000000000000000000000
χ594-44-44-400002i2−2i22i2−2i22i2−2i22i2−2i20000-22-22-220000−i2i2−i2i2−i2i2−i2i2000000000000000000000000004-44-44-400002i2−2i22i2−2i22i2−2i22i2−2i20000-22-22-220000−i2i2−i2i2−i2i2−i2i200000000000000000000000000
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χ12444-4-400-4400−2i2−2i22i22i22i22i2−2i2−2i20000-2-222002-200i2i2−i2−i2−i2−i2i2i200000000000000000000000000-4-444004-4002i22i2−2i2−2i2−2i2−2i22i22i2000022-2-200-2200−i2−i2i2i2i2i2−i2−i200000000000000000000000000
χ1254-44-44-400002i2−2i22i2−2i22i2−2i22i2−2i20000-22-22-220000−i2i2−i2i2−i2i2−i2i200000000000000000000000000-44-44-440000−2i22i2−2i22i2−2i22i2−2i22i200002-22-22-20000i2−i2i2−i2i2−i2i2−i200000000000000000000000000
χ1264-44-44-40000−2i22i2−2i22i2−2i22i2−2i22i20000-22-22-220000i2−i2i2−i2i2−i2i2−i200000000000000000000000000-44-44-4400002i2−2i22i2−2i22i2−2i22i2−2i200002-22-22-20000−i2i2−i2i2−i2i2−i2i200000000000000000000000000
χ1274-44-4-4400002i2−2i22i2−2i2−2i22i2−2i22i20000-22-222-20000−i2i2−i2i2i2−i2i2−i200000000000000000000000000-44-444-40000−2i22i2−2i22i22i2−2i22i2−2i200002-22-2-220000i2−i2i2−i2−i2i2−i2i200000000000000000000000000
χ1284-44-4-440000−2i22i2−2i22i22i2−2i22i2−2i20000-22-222-20000i2−i2i2−i2−i2i2−i2i200000000000000000000000000-44-444-400002i2−2i22i2−2i2−2i22i2−2i22i200002-22-2-220000−i2i2−i2i2i2−i2i2−i200000000000000000000000000
χ1294-4-4400004-400004-4-440000-222-20000-220000-222-200000000000000000000000000-444-40000-440000-444-400002-2-2200002-200002-2-2200000000000000000000000000
χ1304-4-4400004-40000-444-40000-222-20000-2200002-2-2200000000000000000000000000-444-40000-4400004-4-4400002-2-2200002-20000-222-200000000000000000000000000
χ1314-4-440000-444-4-4400000000-222-200002-2-222-2000000000000000000000000000000-444-400004-4-444-4000000002-2-220000-222-2-22000000000000000000000000000000
χ1324-4-440000-44-444-400000000-222-200002-22-2-22000000000000000000000000000000-444-400004-44-4-44000000002-2-220000-22-222-2000000000000000000000000000000

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