Finite Group Databasebeta

← Group #72255427

Character table — Group #72255427

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1122222222222222222222244444444444444444444444444444444444444444444444448888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616167272727272727272144144144144
order12233334466668812121212121212124466668881212121216161616242424242424242424242424242424242424242424242424242424242424242412121212121212121616484848484848484848484848484848484848484848484848484848484848484824666666668812121212121212122424242424242424242424242424242432323232323232322244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ811111111111111111111111-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ911-111111-1111111-1-1-1-1-1-1-1-1i−i-1-1-1-1i−i-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−ii−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-111111111i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1-1i−i
χ1011-111111-1111111-1-1-1-1-1-1-1-1i−i-1-1-1-1i−i-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−ii−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-111111111i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-11−ii
χ1111-111111-1111111-1-1-1-1-1-1-1-1i−i-1-1-1-1i−i-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−ii−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1-1-1-1-1−ii11111111−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-11−ii
χ1211-111111-1111111-1-1-1-1-1-1-1-1i−i-1-1-1-1i−i-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−ii−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1-1-1-1-1−ii11111111−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii1-1i−i
χ1311-111111-1111111-1-1-1-1-1-1-1-1−ii-1-1-1-1−ii-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-111111111−ii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1-1−ii
χ1411-111111-1111111-1-1-1-1-1-1-1-1−ii-1-1-1-1−ii-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-111111111−ii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-11i−i
χ1511-111111-1111111-1-1-1-1-1-1-1-1−ii-1-1-1-1−ii-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-1-1-1-1-1i−i11111111iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-11i−i
χ1611-111111-1111111-1-1-1-1-1-1-1-1−ii-1-1-1-1−ii-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-1-1-1-1-1i−i11111111iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i1-1−ii
χ17222222222222222222222222222222222222-2-2-2-22222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222222222-2-22222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222000000000000000000000000000000000000000000000000
χ192222222222222-2-222222222222222-2-2-222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000000002−22−22−22−20000
χ202222222222222-2-222222222222222-2-2-222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000000000−22−22−22−220000
χ212222222222222-2-222222222-2-2222222-2222200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000002−22−2−22−220000
χ222222222222222-2-222222222-2-2222222-2222200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000−22−222−22−20000
χ232222-1-1-1222-1-1-12222-1-1-1-1-1-1222-1-1-12222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ242222-1-1-1222-1-1-12222-1-1-1-1-1-1222-1-1-12222-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2-2-2111111-2-2111111-2-2111111000000000000
χ252222-1-1-1222-1-1-12222-1-1-1-1-1-1222-1-1-12222-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-21111110000−i3−i3−i3i3i3i30000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000
χ262222-1-1-1222-1-1-12222-1-1-1-1-1-1222-1-1-12222-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-21111110000i3i3i3−i3−i3−i30000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000
χ272222-1-1-1222-1-1-12222-1-1-1-1-1-1-2-22-1-1-1-2-222-1-1-12222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2111111-2-2111111000000000000
χ282222-1-1-1222-1-1-12222-1-1-1-1-1-1-2-22-1-1-1-2-222-1-1-12222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-211111122-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ292222-1-1-1222-1-1-12222-1-1-1-1-1-1-2-22-1-1-1-2-222-1-1-1-2-2-2-2-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-211122-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000−i3−i3−i3i3i3i30000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000
χ302222-1-1-1222-1-1-12222-1-1-1-1-1-1-2-22-1-1-1-2-222-1-1-1-2-2-2-2-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-211122-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000i3i3i3−i3−i3−i30000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000
χ31222-12-1-122-12-1-122-1-122-1-1-1-122-12-1-1222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-122-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000000000
χ32222-12-1-122-12-1-122-1-122-1-1-1-122-12-1-1222-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-211-2-211-211-21111-211-21111-211-211000000000000
χ33222-12-1-122-12-1-122-1-122-1-1-1-122-12-1-1222-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-211-2-2111111-2-2111111-2-2111111-2-2111100−i3i30−i3i30−i3i300−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000
χ34222-12-1-122-12-1-122-1-122-1-1-1-122-12-1-1222-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-211-2-2111111-2-2111111-2-2111111-2-2111100i3−i30i3−i30i3−i300i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000
χ35222-12-1-122-12-1-122-1-122-1-1-1-1-2-2-12-1-1-2-22-12-1-1222211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-211-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111122-1-12-1-12-1-1-2-2-1-12-1-12-1-111-211-21111-211-211000000000000
χ36222-12-1-122-12-1-122-1-122-1-1-1-1-2-2-12-1-1-2-22-12-1-1222211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-211-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111-2-211-211-2112211-211-211-1-12-1-12-1-1-1-12-1-12-1-1000000000000
χ37222-12-1-122-12-1-122-1-122-1-1-1-1-2-2-12-1-1-2-22-12-1-1-2-2-2-211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-2112211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100−i3i30−i3i30−i3i300−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000
χ38222-12-1-122-12-1-122-1-122-1-1-1-1-2-2-12-1-1-2-22-12-1-1-2-2-2-211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-2112211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100i3−i30i3−i30i3−i300i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000
χ39222-1-12-122-1-12-122-1-1-1-122-1-122-1-12-1222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ40222-1-12-122-1-12-122-1-1-1-122-1-122-1-12-1222-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2-2-2111-2111-2111-2111-2111-2111-2000000000000
χ41222-1-12-122-1-12-122-1-1-1-122-1-122-1-12-1222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-2-21111-2-2111111-2-2111111-2-2111111-2-21100−i3i3i30−i3−i3i3000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000000000
χ42222-1-12-122-1-12-122-1-1-1-122-1-122-1-12-1222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-2-21111-2-2111111-2-2111111-2-2111111-2-21100i3−i3−i30i3i3−i3000i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30000000000000
χ43222-1-12-122-1-12-122-1-1-1-122-1-1-2-2-1-12-1-2-22-1-12-122221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-21-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21122-1-1-12-1-1-12-2-2-1-1-12-1-1-12111-2111-2111-2111-2000000000000
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χ1578-80-4-48-40044-84−424243−43−43430043−4300000000000000000000000000000000022−2222−22−424222−22−262626−2600−2626000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1588-80-4-48-40044-84−4242−434343−4300−434300000000000000000000000000000000022−2222−22−424222−2226−26−26260026−26000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-80-4-4-4800444-842−4243−4343−43−434300000000000000000000000000000000000−2222−2222−222242−4226−2626−26−262600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-80-4-4-4800444-842−42−4343−434343−4300000000000000000000000000000000000−2222−2222−222242−42−2626−262626−2600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-80-4-4-4800444-8−424243−4343−43−43430000000000000000000000000000000000022−2222−2222−22−4242−2626−262626−2600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-80-4-4-4800444-8−4242−4343−434343−430000000000000000000000000000000000022−2222−2222−22−424226−2626−26−262600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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