Finite Group Databasebeta

← Group #72271925

Character table — Group #72271925

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444466666688888888888888888881212121212121212121212121216161616161616161616161616161616161616161616242424242424242424242424323232323232484848484848
order12222222223446664446666661212222244222222244444444412121222224444444444444446666666121212121212121212222222444444121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-11-1-11111111111111111-1-1-1-11111111-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111-11-1-1-111-1-1-11-111111-1-1-1-1-1-1111-1-111-1-1-1-11111-11-1-1-111-1-1-11-111111-111-1-11-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-11-1-1-1-111-1-111111-11-1-111-11-1-1-1-111-1-111-1-1
χ5111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-11-1-111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111111111111111111-1-1-1-1-11-1-1-111-1-1-11-111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-11-1-1-111-1-1-11-1-1-1-1-11-111-1-11-111-1-111-1-11111
χ8111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-11-1-1-1-111-1-11-1-1-1-1-11-1-111-111111-1-111-1-111
χ9111111111111111111111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ10111111111111111111111111111-1-1-1-1-1-111111-1-111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ11111111111111111111111111111-1-1-1-1-1-11111-11-1-1-111-1-1-11-1111-1-1111111-1-1-11111-1-1-1-11111-11-1-1-111-1-1-11-1-1-1-1-1-11-1-111-11-1-111-1-1-1-11111
χ12111111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-111-1-11111-1-1111111-1-1-111-1-111-1-11111-1-11-1-1-1-111-1-11-1-1-1-11-111-1-11-1-1-1-1-11111-1-111
χ13111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ14111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-11-1-1111111111111-1-11111-1-1-1-111
χ15111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-11-1111-1-1111111-1-1-111-1-11111-1-1-1-1-11-1-1-111-1-1-11-11111-11-1-111-1111-1-11111-1-1-1-1
χ16111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1111111-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-1111111-111-1-11-11111-1-1-1-111-1-1
χ1711111111111-1-1111-1-1-1111111-1-11111-1-111-1-111-11-11-11-1-1-11-1-1-1111111-1-1-1-1-1-1-11-11-11-111-1-111-11-11-11-1-1-1111-1-1-111-11-11-11-11-11-11-11-11-1
χ1811111111111-1-1111-1-1-1111111-1-11111-1-111-1-11-111-1-11-11-11-1-1-1-1111111-1-1-1-1-1-1-1-11-111-111-1-11-111-1-11-11-11-111-1-11-1-11-11-111-1-11-11-11-111-1
χ1911111111111-1-1111-1-1-1111111-1-11111-1-111-1-1-111-111-1-111-1-1-1-1-111-1-1-1-111-1-1-1111-1-11-1111-1-1-111-111-1-111-1-111-1-1-1-11-1-1111-111-1-111-1-11-11
χ2011111111111-1-1111-1-1-1111111-1-11111-1-111-1-1-1-1-1-11-111-1111-1-1-111-1-1-1-111-1-1-111-111-1-1111-1-1-1-1-1-11-111-111111-1-111-111-1-1-1-11-111-1-111-1-11
χ2111111111111-1-1111-1-1-1111111-1-11111-1-1-1-11111-11-11-11-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11-11-11-1-11111-11-11-11-1-1-11-1-111-111-11-11-1-11-11-11-11-11-11
χ2211111111111-1-1111-1-1-1111111-1-11111-1-1-1-1111-111-1-11-11-11-1-1-1-1111111-1-1-1-1-1-1-11-11-1-11-1-1111-111-1-11-11-11-1-1-1111-1-11-11-11-111-11-11-11-1-11
χ2311111111111-1-1111-1-1-1111111-1-11111-1-1-1-111-111-111-1-111-1-1-1-1-111-1-1-1-111-1-1-111-111-11-1-1-111-111-111-1-111-1-1-1-111-1-11-1-11111-1-111-1-111-11-1
χ2411111111111-1-1111-1-1-1111111-1-11111-1-1-1-111-1-1-1-11-111-1111-1-1-111-1-1-1-111-1-1-1111-1-111-1-1-111-1-1-1-11-111-1111-1-11111-111-1-1-11-11-1-111-1-111-1
χ2511111111111-1-1111-1-1-1111111-1-1-1-1-1-11111-1-111-11-11-11-1-1-11-1-1-1-1-1-1-1-1-111111111-11-11-111-1-111-11-11-11-1-1-11-1-1111-1-11-11-111-11-11-1-11-11-11
χ2611111111111-1-1111-1-1-1111111-1-1-1-1-1-11111-1-11-111-1-11-11-11-1-1-1-1-1-1-1-1-1-11111111-11-111-111-1-11-111-1-11-11-11-1-1-111-111-11-11-11-1-11-111-11-1-11
χ2711111111111-1-1111-1-1-1111111-1-1-1-1-1-11111-1-1-111-111-1-111-1-1-1-1-1-1-11111-1-1111-1-11-1-11-1111-1-1-111-111-1-111-1-1-1-11111-111-1-1-1-111-1-11-111-11-1
χ2811111111111-1-1111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1111-1-1-1-1-11111-1-1111-1-1-111-1-1111-1-1-1-1-1-11-111-1111-1-111-1-11-1-1111-11-111-11-1-111-1
χ2911111111111-1-1111-1-1-1111111-1-1-1-1-1-111-1-11111-11-11-11-1-1-11-1-1-1-1-1-1-1-1-11111111-11-11-11-1-11111-11-11-11-1-1-1111-1-11-1-11-11-11-11-11-111-11-11-1
χ3011111111111-1-1111-1-1-1111111-1-1-1-1-1-111-1-1111-111-1-11-11-11-1-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1111-111-1-11-11-11-111-1-1-111-11-11-1-111-11-1-11-111-1
χ3111111111111-1-1111-1-1-1111111-1-1-1-1-1-111-1-111-111-111-1-111-1-1-1-1-1-1-11111-1-1111-1-1-111-11-1-1-111-111-111-1-111-1-111-1-111-111-1-1-11-1-111-11-1-11-11
χ3211111111111-1-1111-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11-111-1111-1-1-1-1-11111-1-1111-1-11-1-111-1-1-111-1-1-1-11-111-111111-1-1-1-11-1-11111-11-1-11-111-1-11
χ332222222222-122-1-1-1222-1-1-1-1-1-1-1-10000002222222222222222-1-1-10000000000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1000000
χ342222222222-122-1-1-1222-1-1-1-1-1-1-1-100000022222-2-222-2-2-2-22-2-2-1-1-10000000000000-2-2-2-222-1-1-1-1-111-1-11111-111000000000000-1-11111000000
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χ382222222222-122-1-1-1222-1-1-1-1-1-1-1-1000000-2-2-2-22-2-222-2-2-2-22-2-2-1-1-100000000000002222-2-21111-111-1-11111-11100000000000011-1-1-1-1000000
χ392222222222-122-1-1-1222-1-1-1-1-1-1-1-1000000-2-2-2-2-22-2-2-222-2-2-22-2-1-1-10000000000000-2-2222211111-1111-1-1111-11000000000000-1-111-1-1000000
χ402222222222-122-1-1-1222-1-1-1-1-1-1-1-1000000-2-2-2-2-2-22-2-2-2-222-2-22-1-1-1000000000000022-2-222111111-11111-1-111-1000000000000-1-1-1-111000000
χ412222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11100000022-2-222-22-22-22-2-2-2211100000000000002-22-22-2-1-111-1-11-11-11-1111-1000000000000-11-11-11000000
χ422222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11100000022-2-22-222-2-22-22-22-21110000000000000-22-222-2-1-111-11-1-111-11-11-11000000000000-111-11-1000000
χ432222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11100000022-2-2-222-222-2-222-2-211100000000000002-2-22-22-1-1111-1-11-1-111-1-1110000000000001-1-111-1000000
χ442222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11100000022-2-2-2-2-2-22-222-22221110000000000000-222-2-22-1-1111111-11-1-11-1-1-10000000000001-11-1-11000000
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χ994-4-440000004-44-4-44000000000-44-44004-42-2-2200000000000000000000000000000000002-2-22000000000000-222-200000000000000000000
χ1004-4-440000004-44-4-44000000000-44-44004-4-222-20000000000000000000000000000000000-222-20000000000002-2-2200000000000000000000
χ10188-8-8888-8-8-8-400-444000-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-88-8-888-8-400-444000-4-4-444400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-88-8-888-400-44400044-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-8-888-88-400-4440004-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8000000800-88-800000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8000000800-88-80000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88000000-48-844-4000000000-440000004-44-40000000000000000000000000000000000-22-22000000000000000000000000000000000000
χ1088-8-88000000-48-844-4000000000-44000000-44-4400000000000000000000000000000000002-22-2000000000000000000000000000000000000
χ1098-8-88000000-4-8844-40000000004-40000004-4-440000000000000000000000000000000000-222-2000000000000000000000000000000000000
χ1108-8-88000000-4-8844-40000000004-4000000-444-400000000000000000000000000000000002-2-22000000000000000000000000000000000000
χ11116-1616-16000000-8008-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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