Finite Group Databasebeta

← Group #11664374

Character table — Group #11664374

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222228888222244444444444444161616163333666666666666662424242411112222222222222288882222444444444444441616161633336666666666666624242424
order122244444488888888444436661212121212122424242424242424121212122222444444888888884444222244444488888888444466661212121212122424242424242424121212122222444444888888884444
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
χ1122-2-22-2000022−2−222−2−2000022-2-22-2000022−2−222−2−2000022-2-22-2000022−2−222−2−2000022-2-22-2000022−2−222−2−2000022-2-22-2000022−2−222−2−2000022-2-22-2000022−2−222−2−20000
χ1222-2-22-20000−2−222−2−222000022-2-22-20000−2−222−2−222000022-2-22-20000−2−222−2−222000022-2-22-20000−2−222−2−222000022-2-22-20000−2−222−2−222000022-2-22-20000−2−222−2−2220000
χ1322-2-2-22000022−2−2−2−222000022-2-2-22000022−2−2−2−222000022-2-2-22000022−2−2−2−222000022-2-2-22000022−2−2−2−222000022-2-2-22000022−2−2−2−222000022-2-2-22000022−2−2−2−2220000
χ1422-2-2-220000−2−22222−2−2000022-2-2-220000−2−22222−2−2000022-2-2-220000−2−22222−2−2000022-2-2-220000−2−22222−2−2000022-2-2-220000−2−22222−2−2000022-2-2-220000−2−22222−2−20000
χ152-22-200002-200002i−2i2i−2i00002-22-200002-200002i−2i2i−2i00002-22-200002-200002i−2i2i−2i00002-22-200002-200002i−2i2i−2i00002-22-200002-200002i−2i2i−2i00002-22-200002-200002i−2i2i−2i0000
χ162-22-200002-20000−2i2i−2i2i00002-22-200002-20000−2i2i−2i2i00002-22-200002-20000−2i2i−2i2i00002-22-200002-20000−2i2i−2i2i00002-22-200002-20000−2i2i−2i2i00002-22-200002-20000−2i2i−2i2i0000
χ172-22-20000-222i−2i2i−2i000000002-22-20000-222i−2i2i−2i000000002-22-20000-222i−2i2i−2i000000002-22-20000-222i−2i2i−2i000000002-22-20000-222i−2i2i−2i000000002-22-20000-222i−2i2i−2i00000000
χ182-22-20000-22−2i2i−2i2i000000002-22-20000-22−2i2i−2i2i000000002-22-20000-22−2i2i−2i2i000000002-22-20000-22−2i2i−2i2i000000002-22-20000-22−2i2i−2i2i000000002-22-20000-22−2i2i−2i2i00000000
χ192-2-22002-200i2−i2−i2i2i2−i2−i2i200002-2-22002-200i2−i2−i2i2i2−i2−i2i200002-2-22002-200i2−i2−i2i2i2−i2−i2i200002-2-22002-200i2−i2−i2i2i2−i2−i2i200002-2-22002-200i2−i2−i2i2i2−i2−i2i200002-2-22002-200i2−i2−i2i2i2−i2−i2i20000
χ202-2-22002-200−i2i2i2−i2−i2i2i2−i200002-2-22002-200−i2i2i2−i2−i2i2i2−i200002-2-22002-200−i2i2i2−i2−i2i2i2−i200002-2-22002-200−i2i2i2−i2−i2i2i2−i200002-2-22002-200−i2i2i2−i2−i2i2i2−i200002-2-22002-200−i2i2i2−i2−i2i2i2−i20000
χ212-2-2200-2200i2−i2−i2i2−i2i2i2−i200002-2-2200-2200i2−i2−i2i2−i2i2i2−i200002-2-2200-2200i2−i2−i2i2−i2i2i2−i200002-2-2200-2200i2−i2−i2i2−i2i2i2−i200002-2-2200-2200i2−i2−i2i2−i2i2i2−i200002-2-2200-2200i2−i2−i2i2−i2i2i2−i20000
χ222-2-2200-2200−i2i2i2−i2i2−i2−i2i200002-2-2200-2200−i2i2i2−i2i2−i2−i2i200002-2-2200-2200−i2i2i2−i2i2−i2−i2i200002-2-2200-2200−i2i2i2−i2i2−i2−i2i200002-2-2200-2200−i2i2i2−i2i2−i2−i2i200002-2-2200-2200−i2i2i2−i2i2−i2−i2i20000
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
χ3322-2-22-2000022−2−222−2−2000022-2-22-2000022−2−222−2−20000-2-222-220000−2−222−2−222000022-2-22-2000022−2−222−2−2000022-2-22-2000022−2−222−2−20000-2-222-220000−2−222−2−2220000
χ3422-2-22-20000−2−222−2−222000022-2-22-20000−2−222−2−2220000-2-222-22000022−2−222−2−2000022-2-22-20000−2−222−2−222000022-2-22-20000−2−222−2−2220000-2-222-22000022−2−222−2−20000
χ3522-2-2-22000022−2−2−2−222000022-2-2-22000022−2−2−2−2220000-2-2222-20000−2−22222−2−2000022-2-2-22000022−2−2−2−222000022-2-2-22000022−2−2−2−2220000-2-2222-20000−2−22222−2−20000
χ3622-2-2-220000−2−22222−2−2000022-2-2-220000−2−22222−2−20000-2-2222-2000022−2−2−2−222000022-2-2-220000−2−22222−2−2000022-2-2-220000−2−22222−2−20000-2-2222-2000022−2−2−2−2220000
χ372-22-200002-200002i−2i2i−2i00002-22-200002-200002i−2i2i−2i0000-22-220000-220000−2i2i−2i2i00002-22-200002-200002i−2i2i−2i00002-22-200002-200002i−2i2i−2i0000-22-220000-220000−2i2i−2i2i0000
χ382-22-200002-20000−2i2i−2i2i00002-22-200002-20000−2i2i−2i2i0000-22-220000-2200002i−2i2i−2i00002-22-200002-20000−2i2i−2i2i00002-22-200002-20000−2i2i−2i2i0000-22-220000-2200002i−2i2i−2i0000
χ392-22-20000-222i−2i2i−2i000000002-22-20000-222i−2i2i−2i00000000-22-2200002-2−2i2i−2i2i000000002-22-20000-222i−2i2i−2i000000002-22-20000-222i−2i2i−2i00000000-22-2200002-2−2i2i−2i2i00000000
χ402-22-20000-22−2i2i−2i2i000000002-22-20000-22−2i2i−2i2i00000000-22-2200002-22i−2i2i−2i000000002-22-20000-22−2i2i−2i2i000000002-22-20000-22−2i2i−2i2i00000000-22-2200002-22i−2i2i−2i00000000
χ412-2-22002-200i2−i2−i2i2i2−i2−i2i200002-2-22002-200i2−i2−i2i2i2−i2−i2i20000-222-200-2200−i2i2i2−i2−i2i2i2−i200002-2-22002-200i2−i2−i2i2i2−i2−i2i200002-2-22002-200i2−i2−i2i2i2−i2−i2i20000-222-200-2200−i2i2i2−i2−i2i2i2−i20000
χ422-2-22002-200−i2i2i2−i2−i2i2i2−i200002-2-22002-200−i2i2i2−i2−i2i2i2−i20000-222-200-2200i2−i2−i2i2i2−i2−i2i200002-2-22002-200−i2i2i2−i2−i2i2i2−i200002-2-22002-200−i2i2i2−i2−i2i2i2−i20000-222-200-2200i2−i2−i2i2i2−i2−i2i20000
χ432-2-2200-2200i2−i2−i2i2−i2i2i2−i200002-2-2200-2200i2−i2−i2i2−i2i2i2−i20000-222-2002-200−i2i2i2−i2i2−i2−i2i200002-2-2200-2200i2−i2−i2i2−i2i2i2−i200002-2-2200-2200i2−i2−i2i2−i2i2i2−i20000-222-2002-200−i2i2i2−i2i2−i2−i2i20000
χ442-2-2200-2200−i2i2i2−i2i2−i2−i2i200002-2-2200-2200−i2i2i2−i2i2−i2−i2i20000-222-2002-200i2−i2−i2i2−i2i2i2−i200002-2-2200-2200−i2i2i2−i2i2−i2−i2i200002-2-2200-2200−i2i2i2−i2i2−i2−i2i20000-222-2002-200i2−i2−i2i2−i2i2i2−i20000
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
χ5544-4-44-400002222−22−222222−22−220000-2-222-220000−2−222−2−2220000000000000000000000000044-4-44-400002222−22−222222−22−220000-2-222-220000−2−222−2−22200000000000000000000000000
χ5644-4-44-40000−22−222222−22−2222220000-2-222-22000022−2−222−2−20000000000000000000000000044-4-44-40000−22−222222−22−2222220000-2-222-22000022−2−222−2−200000000000000000000000000
χ5744-4-4-4400002222−22−22−22−2222220000-2-2222-20000−2−22222−2−20000000000000000000000000044-4-4-4400002222−22−22−22−2222220000-2-2222-20000−2−22222−2−200000000000000000000000000
χ5844-4-4-440000−22−2222222222−22−220000-2-2222-2000022−2−2−2−2220000000000000000000000000044-4-4-440000−22−2222222222−22−220000-2-2222-2000022−2−2−2−22200000000000000000000000000
χ594-44-400004-400004i−4i4i−4i0000-22-220000-220000−2i2i−2i2i000000000000000000000000004-44-400004-400004i−4i4i−4i0000-22-220000-220000−2i2i−2i2i00000000000000000000000000
χ604-44-400004-40000−4i4i−4i4i0000-22-220000-2200002i−2i2i−2i000000000000000000000000004-44-400004-40000−4i4i−4i4i0000-22-220000-2200002i−2i2i−2i00000000000000000000000000
χ614-44-40000-444i−4i4i−4i00000000-22-2200002-2−2i2i−2i2i0000000000000000000000000000004-44-40000-444i−4i4i−4i00000000-22-2200002-2−2i2i−2i2i000000000000000000000000000000
χ624-44-40000-44−4i4i−4i4i00000000-22-2200002-22i−2i2i−2i0000000000000000000000000000004-44-40000-44−4i4i−4i4i00000000-22-2200002-22i−2i2i−2i000000000000000000000000000000
χ634-4-44004-4002i2−2i2−2i22i22i2−2i2−2i22i20000-222-200-2200−i2i2i2−i2−i2i2i2−i2000000000000000000000000004-4-44004-4002i2−2i2−2i22i22i2−2i2−2i22i20000-222-200-2200−i2i2i2−i2−i2i2i2−i200000000000000000000000000
χ644-4-44004-400−2i22i22i2−2i2−2i22i22i2−2i20000-222-200-2200i2−i2−i2i2i2−i2−i2i2000000000000000000000000004-4-44004-400−2i22i22i2−2i2−2i22i22i2−2i20000-222-200-2200i2−i2−i2i2i2−i2−i2i200000000000000000000000000
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χ1304-4-44004-400−2i22i22i2−2i2−2i22i22i2−2i20000-222-200-2200i2−i2−i2i2i2−i2−i2i200000000000000000000000000-444-400-44002i2−2i2−2i22i22i2−2i2−2i22i200002-2-22002-200−i2i2i2−i2−i2i2i2−i200000000000000000000000000
χ1314-4-4400-44002i2−2i2−2i22i2−2i22i22i2−2i20000-222-2002-200−i2i2i2−i2i2−i2−i2i200000000000000000000000000-444-4004-400−2i22i22i2−2i22i2−2i2−2i22i200002-2-2200-2200i2−i2−i2i2−i2i2i2−i200000000000000000000000000
χ1324-4-4400-4400−2i22i22i2−2i22i2−2i2−2i22i20000-222-2002-200i2−i2−i2i2−i2i2i2−i200000000000000000000000000-444-4004-4002i2−2i2−2i22i2−2i22i22i2−2i200002-2-2200-2200−i2i2i2−i2i2−i2−i2i200000000000000000000000000

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