Finite Group Databasebeta

← Group #72271687

Character table — Group #72271687

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222222222444444444488888888888888888888888888888888888816161616161616161616161616161616161616161616161616164848484848484848484848489696
order1222234444666668888121212124444444444881212121212121212121212121212121212121212242424242222446666666688121212122424242424242488161616161616161648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11
χ6111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111-1
χ7111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-11-11-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-111-1-1-1-1111-1
χ8111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-11-11-1-1-1-1-1-111-11-1-111-1-1-1-111-1-111-1-11111-1-1-11
χ911111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ1011111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1
χ1111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1211111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1311111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111111-1-1-1-1111-11111-1-111-1-111-1-1-1-111-1-111-11
χ1411111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111111-1-1-1-1111-11111-1-111-1-1-1-11111-1-111-1-11-1
χ1511111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1111111-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-11-1
χ1611111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1111111-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-11
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χ9688-8-88-48-8-88-4444-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9716-16000160000-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9816-16000-800008−8i38i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9916-16000-8000088i3−8i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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