Finite Group Databasebeta

← Group #11785340

Character table — Group #11785340

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444448888888888888888888888888888888888881818181818181818181818181818181872727272
order1222222222223333444444446666666666666666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212124444121212121212121212121212121212121212121212121212121212121212121288888888888888884444
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
χ511111111-1-1-1-11111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111-1-1-1-11111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ711111111-1-1-1-11111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111-1-1-1-11111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-111-1-111111-1-111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1i−ii−i
χ101111-1-1-1-111-1-111111-1-111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111−ii−ii
χ111111-1-1-1-111-1-111111-1-111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−ii−ii
χ121111-1-1-1-111-1-111111-1-111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11111i−ii−i
χ131111-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111i−i−ii
χ141111-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1−iii−i
χ151111-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111−iii−i
χ161111-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1i−i−ii
χ172222222222222222-2-2-2-2-2-2-2-222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ182222222222222-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ192222222222222-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-211111100000000000000000000
χ202222222222222-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000000000000000
χ212222222222222-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000000000000000
χ22222222222222-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-100000000000000000000
χ23222222222222-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-211-21111-211-21111-211-21111-211-21100000000000000000000
χ24222222222222-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-211110000−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000000000000000
χ25222222222222-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-211110000i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000000000000000
χ26222222222222-1-12-122222222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1200000000000000000000
χ27222222222222-1-12-122222222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2111-2111-2111-2111-2111-2111-2111-2111-200000000000000000000
χ28222222222222-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-2110000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000000000000000
χ29222222222222-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-2110000i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000000000000000
χ30222222222222-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-100000000000000000000
χ31222222222222-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-21111-21-211111-21-211111-21-211111-21-2100000000000000000000
χ32222222222222-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-20000−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000000000000000000
χ33222222222222-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-20000i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000000000000000000
χ3422222222-2-2-2-22222-2-2-22222-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000000000000000000000000000000000
χ3522222222-2-2-2-22-1-1-1222-2-2-2-2222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000000000000000000
χ3622222222-2-2-2-22-1-1-1222-2-2-2-2222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ3722222222-2-2-2-22-1-1-1-2-2-22222-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000000000000000
χ3822222222-2-2-2-22-1-1-1-2-2-22222-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000000000000000
χ3922222222-2-2-2-2-12-1-1222-2-2-2-22-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111122-2-2-1-12-1-12-1-1-1-12-1-12-1-111-211-21111-211-21100000000000000000000
χ4022222222-2-2-2-2-12-1-1222-2-2-2-22-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111-2-22211-211-21111-211-211-1-12-1-12-1-1-1-12-1-12-1-100000000000000000000
χ4122222222-2-2-2-2-12-1-1-2-2-22222-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000000000000000
χ4222222222-2-2-2-2-12-1-1-2-2-22222-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000000000000000
χ4322222222-2-2-2-2-1-12-1222-2-2-2-22-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21122-2-2-1-1-12-1-1-12-1-1-12-1-1-12111-2111-2111-2111-200000000000000000000
χ4422222222-2-2-2-2-1-12-1222-2-2-2-22-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211-2-222111-2111-2111-2111-2-1-1-12-1-1-12-1-1-12-1-1-1200000000000000000000
χ4522222222-2-2-2-2-1-12-1-2-2-22222-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-10000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000000000000000
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χ1554-4-44-444-40000-2-2-244-440000-4222222-4-4-22-22-224-4-2-2-242-22-22-2-440000000000000000-22-22-224-42-22-22-2-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1564-4-44-444-40000-2-2-24-44-400004222222-4-4-22-22-224-4-2-2-242-22-22-2-4400000000000000002-22-22-2-44-22-22-224-4000000000000000000000000000000000000000000000000000000000000000000000000

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