Finite Group Databasebeta

← Group #72271931

Character table — Group #72271931

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222444444444446666888888888888888888812121212121212121212161616161616161616161616161616161616161616162424242424242424242424242424242424242424323232323232484848
order12222222223446664446666661212222222222224444444441212122222222222444444666666612121212121212121222224444444444444444121212121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-11-1-11-1-1111111111111111-1-1-1-111111-1-111-1-1-1-11-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111111111111-11-1-11-1-11-1-11-11111111111111-1-111-1-11111-11-1-1-111-1-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-11-1
χ411111111111111111111111111111111111-1-11-1-11-1-11-1-111111111111111-1-1-1-1111111-1-11-1-1-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11-1-11-1-11-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-111
χ71111111111111111111111111111111-1-1-1-1-11-1-11-1-11-1-11-1111111111-1-1-1-111-1-111-1-1-1-1-11-1-1-111-1-1-11-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1111-11
χ81111111111111111111111111111111-1-1-1-1-1-11-1-11-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1
χ9111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ10111111111111111111111111111-1-1-1-111111-1-11-1-11-1-11-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-11-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-111
χ11111111111111111111111111111-1-1-1-11111-11-1-11-1-11-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-111-1-1-11-111-1-11111-1-1-1-11111-1-111-1-111-1-11-11
χ12111111111111111111111111111-1-1-1-11111-1-11-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1
χ13111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111
χ14111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-111-1-1-1-11-1-1-1-11111-1-111111111-1-1-1-1-1-111111-1-1
χ15111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1111-1-1-1-1-1-1111111-1-111-1-1-1-1-11-1-1-111-1-1-11-111-1-11111-1-11111-1-111-1-111-1-111-11-1
χ16111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111111-1-1111111-1-1-1-1-1-1111111-1-1-1-11
χ1711111111111-1-1111-1-1-1111111-1-111-1-111-1-111-1-1-1111-1-1-11-1-1-1111-1-1-111111-11-11-111-1-111-11-11-11-1-1-111-11-11-11-11-1-1-11-11111111-11-11-1-1-1-1
χ1811111111111-1-1111-1-1-1111111-1-111-1-111-1-11-11-11-11-11-11-1-1-1-1111-1-1-111111-1-11-1111-1-11-111-1-11-11-11-11-1-11-111-1-11-1-1-1111-1-1-1-11-1-11-11-111
χ1911111111111-1-1111-1-1-1111111-1-111-1-111-1-1-1111-1-1-1111-1-1-1-1-1111-1-1-11111-111-1-1111-1-1-111-111-1-111-1-1-111-1-11-111-1-1-1-11-1-111-1-1-111-1-111-11
χ2011111111111-1-1111-1-1-1111111-1-111-1-111-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-11111-11-111-111-1-1-1-1-1-11-111-1111-11-111-1-11-11-1-11-1-1-1-1-111-11-111-111-1
χ2111111111111-1-1111-1-1-1111111-1-111-1-1-1-11111-1-1-1111-1-1-11-1-1-1111-1-1-1-1-1-1-1-11-11-11-1-11111-11-11-11-1-1-111-11-11-11-11-1111-1-1-1-1-1-1-1-11-11-11111
χ2211111111111-1-1111-1-1-1111111-1-111-1-1-1-1111-11-11-11-11-11-1-1-1-1111-1-1-1-1-1-1-1-111-11-1-1-1111-111-1-11-11-11-11-1-11-111-1-1111-11-1-11111-111-11-11-1-1
χ2311111111111-1-1111-1-1-1111111-1-111-1-1-1-111-1111-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-1-111-111-111-1-111-1-1-111-1-11-111-111-1111-1-1111-1-111-1-11-1
χ2411111111111-1-1111-1-1-1111111-1-111-1-1-1-111-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-1-1-11-11-1-11-1-111-1-1-1-11-111-1111-11-111-1-11-11111-11111-1-11-11-1-11-1-11
χ2511111111111-1-1111-1-1-1111111-1-1-1-11111-1-111-1-1-1111-1-1-11-1-1-1-1-1-1111-1-1-1-11-11-11-111-1-111-11-11-11-1-1-11-11-11-11-11-1111-11-1-1-1-1-1-11-11-11-1111
χ2611111111111-1-1111-1-1-1111111-1-1-1-11111-1-11-11-11-11-11-11-1-1-1-1-1-1-1111-1-1-1-11-1-11-1111-1-11-111-1-11-11-11-1-111-11-1-111-1111-1-1-111111-1-11-111-1-1
χ2711111111111-1-1111-1-1-1111111-1-1-1-11111-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1111-1-1-111-111-1-111-1-11-1-111-11-1-11111-111-1-111-111-1-11-11-1
χ2811111111111-1-1111-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1-1-11-111-111-1-1-1-1-1-11-111-11111-11-1-111-11-111-111111-1-1-11-111-1-1-11
χ2911111111111-1-1111-1-1-1111111-1-1-1-111-1-11111-1-1-1111-1-1-11-1-1-1-1-1-11111111-11-11-11-1-11111-11-11-11-1-1-11-11-11-11-11-11-1-1-11111111-11-11-11-1-1-1
χ3011111111111-1-1111-1-1-1111111-1-1-1-111-1-1111-11-11-11-11-11-1-1-1-1-1-1-11111111-111-11-1-1-1111-111-1-11-11-11-1-111-11-1-111-1-1-11-111-1-1-1-1-111-11-1-111
χ3111111111111-1-1111-1-1-1111111-1-1-1-111-1-111-1111-1-1-1111-1-1-1-1-1-1-1-111111111-1-111-1-1-111-111-111-1-111-1-11-1-111-11-1-11-1-11-1-1-111-1-11-1-111-11-11
χ3211111111111-1-1111-1-1-1111111-1-1-1-111-1-111-1-1-1111-1-1-1111-1-1-1-1-1-111111111-11-1-11-1-111-1-1-1-11-111-11111-11-1-111-11-1-1-1-11-1-1-1-1111-11-1-1111-1
χ332222222222-122-1-1-1222-1-1-1-1-1-1-1-100002222222222222222-1-1-10000000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-1-1000
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χ1058-88-8-88-88-88-400-4440004-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-8-8888-8-400-44400044-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88000000-48-844-4000000000-4400004-44-40000000000000000000000000000000-22-2200000000000000000000000000000000000000000
χ1088-8-88000000-48-844-4000000000-440000-44-4400000000000000000000000000000002-22-200000000000000000000000000000000000000000
χ1098-8-88000000-4-8844-40000000004-400004-4-440000000000000000000000000000000-222-200000000000000000000000000000000000000000
χ1108-8-88000000-4-8844-40000000004-40000-444-400000000000000000000000000000002-2-2200000000000000000000000000000000000000000
χ1111616-16-16000000-8008-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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