Finite Group Databasebeta

← Group #11789755

Character table — Group #11789755

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444448888888888888888888888888888888888881818181818181818181818181818181872727272
order12222222344444444444466666669991818181818181818181818181818181818181818181212121212121212121212123636363636363636363636363636363636363636363636363636363636363636363636364444121212121212121236363636363636363636363636363636363636363636363688888888888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111-1-1-1-111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111-1-1-1-111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111-1-1-1-111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-1-111-11ii−i−i1-1ii−i−i1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111iiii−i−i−i−i11-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1i−i1-1ii−i−i11-1-1iiiiii−i−i−i−i−i−i111111-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-1i−i
χ1011-1-1-111-11ii−i−i1-1ii−i−i1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111iiii−i−i−i−i11-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1i−i1-1ii−i−i11-1-1iiiiii−i−i−i−i−i−i111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111-11−ii
χ1111-1-1-111-11ii−i−i1-1ii−i−i1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111iiii−i−i−i−i11-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1−ii-11−i−iii-1-111−i−i−i−i−i−iiiiiii-1-1-1-1-1-1111111iiii−i−i−i−i1111-1-1-1-1-11−ii
χ1211-1-1-111-11ii−i−i1-1ii−i−i1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111iiii−i−i−i−i11-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1−ii-11−i−iii-1-111−i−i−i−i−i−iiiiiii-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-111111-1i−i
χ1311-1-1-111-11−i−iii1-1−i−iii1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111-1-1-1-1-1-1i−i-11ii−i−i-1-111iiiiii−i−i−i−i−i−i-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-111111-1−ii
χ1411-1-1-111-11−i−iii1-1−i−iii1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111-1-1-1-1-1-1i−i-11ii−i−i-1-111iiiiii−i−i−i−i−i−i-1-1-1-1-1-1111111−i−i−i−iiiii1111-1-1-1-1-11i−i
χ1511-1-1-111-11−i−iii1-1−i−iii1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111-1-1-1-1-1-1−ii1-1−i−iii11-1-1−i−i−i−i−i−iiiiiii111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111-11i−i
χ1611-1-1-111-11−i−iii1-1−i−iii1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111-1-1-1-1-1-1−ii1-1−i−iii11-1-1−i−i−i−i−i−iiiiiii111111-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii
χ172222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000
χ192222222222222-2-2-2-2-2-2-2-2222222222222222222222222222222222-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ202222222222222-2-2-2-2-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111000000000000−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i300000000000000000000
χ212222222222222-2-2-2-2-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111000000000000i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i300000000000000000000
χ22222222222-2-2-2-222-2-2-2-2222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000
χ23222222222-2-2-2-222-2-2-2-2222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ24222222222-2-2-2-2-2-22222-2-22222222222222222222222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ25222222222-2-2-2-2-2-22222-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222-2-2-2-2111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111000000000000−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i300000000000000000000
χ26222222222-2-2-2-2-2-22222-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222-2-2-2-2111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111000000000000i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i300000000000000000000
χ2722222222-1222222222222-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682222-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000000000000000
χ2822222222-1222222222222-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-2-2-211111111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000000000
χ2922222222-1222222222222-1-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682222-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000000000000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.