Finite Group Databasebeta

← Group #13161155

Character table — Group #13161155

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222222233334444444444444444444444444444444444444444444466666666666666666688888888888888888888888888121212121212121212121212121212121212121212121212121218181818363636363636545454547272108108
order12223333344666666666666666444433334466666666666612121212121212121212121212121212121212121212121212124412121212121212121212121212121212121212121212121212121212121212121212121212121212121244121212121212121212121212121212121212121212121212888844242424248888121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-11111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1111111-1-1
χ911-1-111111-11-111111-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−ii−iii−i−i11-1-1i−i1-1
χ1011-1-111111-11-111111-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−ii−i−iii-1-111−ii-11
χ1111-1-111111-11-111111-1-1-1-1-1-1-1-1-1ii−i−i1111-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1i−iiiiiiiii−i−i−i−i−i−i−i−i-111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−iiii−i−i11-1-1−ii-11
χ1211-1-111111-11-111111-1-1-1-1-1-1-1-1-1ii−i−i1111-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1i−iiiiiiiii−i−i−i−i−i−i−i−i-111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiii−i−i−iii-1-111i−i1-1
χ1311-1-111111-11-111111-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−ii−iii−i−i-1-111i−i-11
χ1411-1-111111-11-111111-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−ii−i−iii11-1-1−ii1-1
χ1511-1-111111-11-111111-1-1-1-1-1-1-1-1-1−i−iii1111-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1−ii−i−i−i−i−i−i−i−iiiiiiiii-111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−iiii−i−i-1-111−ii1-1
χ1611-1-111111-11-111111-1-1-1-1-1-1-1-1-1−i−iii1111-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1−ii−i−i−i−i−i−i−i−iiiiiiiii-111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiii−i−i−iii11-1-1i−i-11
χ17222222222-2-22222222222222222222222200222222222222-2-2-2-2-2-2-2-2-20000000000000000-2-2-2222222222222222200-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ18222222222-2-2222222222222222-2-2-2-2222200222222222222-2-2-2-2-2-2-2-2-20000000000000000-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-2000000000000000000222222220000000000000000000000000000000000
χ1922222222-122-12222-122222222-10000-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-122222222222222222222-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000222222-1-1-1-10000-1-100
χ2022222222-122-12222-122222222-10000-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-122222222222222222222-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-2-2-2111100001100
χ2122222222-122-12222-122222222-10000-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-100000000000000000011-1-1-1-1-1-1-1-11111111111111111000000000000000000000000002222-2-2-1-1-1-100001100
χ2222222222-122-12222-122222222-10000-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-100000000000000000011-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000-2-2-2-22211110000-1-100
χ2322222-1-1-122222-1-1-122-1-1-12-1-1-1222222-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ2422222-1-1-122222-1-1-122-1-1-12-1-1-1222222-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-2-2111111-2-211111122222-1-1-1-1-1-122-1-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-22-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000
χ2522222-1-1-122222-1-1-122-1-1-12-1-1-12-2-2-2-22-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-2-2-2-2111111-2-2111111222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111-2111-2-2111111-2-2111111000000000000000000
χ2622222-1-1-122222-1-1-122-1-1-12-1-1-12-2-2-2-22-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-2-2111111-2-21111112-2-2-2-2111111-2-2111111-2-22-1-1-12-1-1-1-2-2111111-2-211111122-2111-211122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ2722222-1-1-12-2-222-1-1-122-1-1-12-1-1-1222222-1-1-10022-1-1-1-1-1-12-1-1-1-2111-2-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2-2-222-1-1-1-1-1-122-1-1-1-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000000000
χ2822222-1-1-12-2-222-1-1-122-1-1-12-1-1-1222222-1-1-10022-1-1-1-1-1-12-1-1-1-2111-2-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2-2-222-1-1-1-1-1-122-1-1-1-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000000000
χ2922222-1-1-12-2-222-1-1-122-1-1-12-1-1-12-2-2-2-22-1-1-10022-1-1-1-1-1-12-1-1-1-2111-2-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-222-2-2111111-2-211111100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3002-1-1-12-1-1-100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000000000
χ3022222-1-1-12-2-222-1-1-122-1-1-12-1-1-12-2-2-2-22-1-1-10022-1-1-1-1-1-12-1-1-1-2111-2-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-222-2-2111111-2-211111100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3002-1-1-12-1-1-100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000000000
χ312222-12-1-12222-12-1-12-12-1-1-12-1-122222-12-1-122-1-122-1-1-1-1-12-1-1-12-1-12-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000000000000000
χ322222-12-1-12222-12-1-12-12-1-1-12-1-122222-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-12-12-1-111-211-21111-211-211222-1-122-1-1-1-1-1-122-1-1-1-1-2-2-12-1-1-12-1-111-211-21111-211-211-2-2-12-1-1-12-1-111-211-21111-211-211000000000000000000
χ332222-12-1-12222-12-1-12-12-1-1-12-1-12-2-2-2-2-12-1-122-1-122-1-1-1-1-12-1-1-12-1-12-12-1-1-1-12-1-12-1-1-1-12-1-12-1-12-2-211-2-2111111-2-2111122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-2-21-2111-21111-211-21111-211-211000000000000000000
χ342222-12-1-12222-12-1-12-12-1-1-12-1-12-2-2-2-2-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-12-12-1-111-211-21111-211-2112-2-211-2-2111111-2-21111-2-2-12-1-1-12-1-111-211-21111-211-211221-2111-211-1-12-1-12-1-1-1-12-1-12-1-1000000000000000000
χ352222-12-1-12-2-22-12-1-12-12-1-1-12-1-122222-12-1-100-1-122-1-1-1-1-12-1-11-211-21-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000000000
χ362222-12-1-12-2-22-12-1-12-12-1-1-12-1-122222-12-1-100-1-122-1-1-1-1-12-1-11-211-21-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000000000
χ372222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-2-2-2-2-12-1-100-1-122-1-1-1-1-12-1-11-211-21-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-22211-2-2111111-2-21111001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300-12-1-1-12-1-1i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000000000
χ382222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-2-2-2-2-12-1-100-1-122-1-1-1-1-12-1-11-211-21-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-22211-2-2111111-2-21111001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300-12-1-1-12-1-1−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000000000
χ392222-1-12-12222-1-12-12-1-12-1-1-12-122222-1-12-122-1-1-1-122-1-1-1-12-1-1-12-12-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-1222-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ402222-1-12-12222-1-12-12-1-12-1-1-12-122222-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-12-1-12-1111-2111-2111-2111-2222-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-12-1-1-12-1111-2111-2111-2111-2-2-2-1-12-1-1-12-1111-2111-2111-2111-2000000000000000000
χ412222-1-12-12222-1-12-12-1-12-1-1-12-12-2-2-2-2-1-12-122-1-1-1-122-1-1-1-12-1-1-12-12-1-12-1-1-1-12-1-1-12-1-1-12-1-1-122-2-21111-2-2111111-2-21122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-2-211-2111-21111-2111-2111-2111-2000000000000000000
χ422222-1-12-12222-1-12-12-1-12-1-1-12-12-2-2-2-2-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-12-1-12-1111-2111-2111-2111-22-2-21111-2-2111111-2-211-2-2-1-12-1-1-12-1111-2111-2111-2111-22211-2111-21-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ432222-1-12-12-2-22-1-12-12-1-12-1-1-12-122222-1-12-100-1-1-1-122-1-1-1-12-111-21-211-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30-2-2-2-1-1-1-122-1-1-1-1-1-122-1-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000000000000000
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χ1534-4-44-2-2-24400-4222-4-4-2-2-24222-444-4-44-2-2-24002-22-22-2-44222-40000000000000000000000000000-22-22-224-42-22-22-2-440000000000000000000000000000000000000000000000000000000000000000000000
χ1544-4-44-2-2-24400-4222-4-4-2-2-24222-44-444-4-2-2-24002-22-22-2-44222-400000000000000000000000000002-22-22-2-44-22-22-224-40000000000000000000000000000000000000000000000000000000000000000000000
χ1558-88-88-4-4-4-400-4-84444-84448-4-4-440000-422200-442-22-22-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-88-8-48-4-4-400-44-84444-844-48-4-4400002-422002-2-442-22-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1578-88-8-4-48-4-400-444-84444-84-4-48-44000022-42002-22-2-442-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1588-88-8-4-4-48-400-4444-84444-8-4-4-4840000222-4002-22-22-2-44-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-8-888-4-4-4-4004-844448-4-4-4-8444-40000-4222004-4-22-22-224-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-8-88-48-4-4-40044-8444-48-4-44-844-400002-42200-224-4-22-22-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-88-4-48-4-400444-844-4-48-444-84-4000022-4200-22-224-4-22-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-88-4-4-48-4004444-84-4-4-48444-8-40000222-400-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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