Finite Group Databasebeta

← Group #11784740

Character table — Group #11784740

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order12222222222233444466666666666666666666663446666666666666666666121212121212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ10111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ11111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ12111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1-1-11-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii
χ14111-1-1-1-11-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ15111-1-1-1-11-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i
χ16111-1-1-1-11-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222-2-2-2-222222222222222222222222-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ182222222222222-1222222-1-12222-1-122222222-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ192222222222222-1222222-1-12222-1-122222222-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ202222222222222-1-2-2-2-222-1-12222-1-122222222-1-1-12-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ212222222222222-1-2-2-2-222-1-12222-1-122222222-1-1-12-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ22222222222222-122222-1-122-1-1-1-122-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ23222222222222-122222-1-122-1-1-1-122-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ24222222222222-12-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-1222-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ25222222222222-12-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-1222-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2622222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-22222222-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ2722222222-2-2-2-22-1222222-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-12-1-2-21111-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ2822222222-2-2-2-22-1222222-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-12-1-2-21111-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ2922222222-2-2-2-22-1-2-2-2-222-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-12-1221111-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3022222222-2-2-2-22-1-2-2-2-222-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-12-1221111-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3122222222-2-2-2-2-122222-1-122-1-1-1-12211111111222-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ3222222222-2-2-2-2-122222-1-122-1-1-1-12211111111222-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ3322222222-2-2-2-2-12-2-2-2-2-1-122-1-1-1-12211111111222-1-122-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3422222222-2-2-2-2-12-2-2-2-2-1-122-1-1-1-12211111111222-1-122-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ35222-2-2-2-2222-2-222-2-2222222-2-2-2-2-2-22222-2-2-2-22-2-222-2222-2-222-2-2-2-22222-2-2-2-22-2-222-2-222-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ36222-2-2-2-2222-2-22-122-2-222-1-1-2-2-2-2112222-2-2-2-2-1112-12-2-1-111-1-11111-1-1-1-11111-1-1-111-1-11122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000000000002i−2i2i−2i−i−iii−i−iii00000000
χ37222-2-2-2-2222-2-22-122-2-222-1-1-2-2-2-2112222-2-2-2-2-1112-12-2-1-111-1-11111-1-1-1-11111-1-1-111-1-11122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000−2i2i−2i2iii−i−iii−i−i00000000
χ38222-2-2-2-2222-2-22-1-2-22222-1-1-2-2-2-2112222-2-2-2-2-1112-1-22-1-111-1-11111-1-1-1-11111-111-1-111-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000000000003−3−333−3−3300000000
χ39222-2-2-2-2222-2-22-1-2-22222-1-1-2-2-2-2112222-2-2-2-2-1112-1-22-1-111-1-11111-1-1-1-11111-111-1-111-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000000000000000−333−3−333−300000000
χ40222-2-2-2-2222-2-2-1222-2-2-1-1221111-2-2-1-1-1-111112-2-2-1-12-222-2-2-1-11111-1-1-1-11111-122-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ41222-2-2-2-2222-2-2-1222-2-2-1-1221111-2-2-1-1-1-111112-2-2-1-12-222-2-2-1-11111-1-1-1-11111-122-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ42222-2-2-2-2222-2-2-12-2-222-1-1221111-2-2-1-1-1-111112-2-2-1-1-2222-2-2-1-11111-1-1-1-11111-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ43222-2-2-2-2222-2-2-12-2-222-1-1221111-2-2-1-1-1-111112-2-2-1-1-2222-2-2-1-11111-1-1-1-11111-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ44222-2-2-2-22-2-22222-2-2222222-2-2-2-2-2-2-2-2-2-222222-2-2222-2-2-22222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ45222-2-2-2-22-2-2222-122-2-222-1-1-2-2-2-211-2-2-2-22222-1112-1-2211-1-1-1-111111111-1-1-1-1-1-1-11111-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000000000002i−2i−2i2i−i−iiiii−i−i00000000
χ46222-2-2-2-22-2-2222-122-2-222-1-1-2-2-2-211-2-2-2-22222-1112-1-2211-1-1-1-111111111-1-1-1-1-1-1-11111-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000−2i2i2i−2iii−i−i−i−iii00000000
χ47222-2-2-2-22-2-2222-1-2-22222-1-1-2-2-2-211-2-2-2-22222-1112-12-211-1-1-1-111111111-1-1-1-1-111-1-1-1-111-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000003−3−33−333−300000000
χ48222-2-2-2-22-2-2222-1-2-22222-1-1-2-2-2-211-2-2-2-22222-1112-12-211-1-1-1-111111111-1-1-1-1-111-1-1-1-111-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000000000000000−333−33−3−3300000000
χ49222-2-2-2-22-2-222-1222-2-2-1-1221111-2-21111-1-1-1-12-2-2-1-1-22-2-222-1-111111111-1-1-1-1-122-2-2-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ50222-2-2-2-22-2-222-1222-2-2-1-1221111-2-21111-1-1-1-12-2-2-1-1-22-2-222-1-111111111-1-1-1-1-122-2-2-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ51222-2-2-2-22-2-222-12-2-222-1-1221111-2-21111-1-1-1-12-2-2-1-12-2-2-222-1-111111111-1-1-1-1-1-2-22222-2-211-1-1-1-1111111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ52222-2-2-2-22-2-222-12-2-222-1-1221111-2-21111-1-1-1-12-2-2-1-12-2-2-222-1-111111111-1-1-1-1-1-2-22222-2-211-1-1-1-1111111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ5322-222-2-2-22-22-22200002-22-222-2-22222-2-222-2-2-2-2-2-22002-22-22-222-2-222-2-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000002−22−22−22−2
χ5422-222-2-2-22-22-22200002-22-222-2-22222-2-222-2-2-2-2-2-22002-22-22-222-2-222-2-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000−22−22−22−22
χ5522-222-2-2-2-22-222200002-22-222-2-222-2-222-2-222-2-2-2-2200-22-222-222-2-2-2-222-2-222-2000000000000000000000000000000000000000000000000000000000000000000002−22−2−22−22
χ5622-222-2-2-2-22-222200002-22-222-2-222-2-222-2-222-2-2-2-2200-22-222-222-2-2-2-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000−22−222−22−2
χ5722-2-2-222-22-2-222200002-22-2-2-222-2-222-2-2-2-222-222-22002-2-222-2-2-22222-2-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ5822-2-2-222-22-2-222200002-22-2-2-222-2-222-2-2-2-222-222-22002-2-222-2-2-22222-2-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ5922-2-2-222-2-222-22200002-22-2-2-222-2-2-2-22222-2-2-222-2200-222-22-2-2-222-2-22222-2-2-200000000000000000000000000000000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ6022-2-2-222-2-222-22200002-22-2-2-222-2-2-2-22222-2-2-222-2200-222-22-2-2-222-2-22222-2-2-200000000000000000000000000000000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
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χ1344-4-4-44-44400004-2-444-4-4-422-44-442-200000000-22-24-2000000222-22-200000000-22-2-220000-444-4000022-2-2-2-2220000000000000000000000000000000000000000000000000000
χ1354-4-4-44-4440000-2-24-4-4422222-22-22-2−2i32i3−2i32i32i3−2i32i3−2i3-22-2-21000000-1-1-11-11i3−i3i3−i3−i3i3−i3i31-222-20000-222-2−2i32i32i3−2i311-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1364-4-4-44-4440000-2-24-4-4422222-22-22-22i3−2i32i3−2i3−2i32i3−2i32i3-22-2-21000000-1-1-11-11−i3i3−i3i3i3−i3i3−i31-222-20000-222-22i3−2i3−2i32i311-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1374-4-4-44-4440000-2-2-444-422222-22-22-2−2i32i3−2i32i32i3−2i32i3−2i3-22-2-21000000-1-1-11-11i3−i3i3−i3−i3i3−i3i312-2-2200002-2-222i3−2i3−2i32i3-1-11111-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1384-4-4-44-4440000-2-2-444-422222-22-22-22i3−2i32i3−2i3−2i32i3−2i32i3-22-2-21000000-1-1-11-11−i3i3−i3i3i3−i3i3−i312-2-2200002-2-22−2i32i32i3−2i3-1-11111-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000

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