Finite Group Databasebeta

← Group #14516154

Character table — Group #14516154

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1122222222999918181818181818181818181818181818181818181818181881818181818111222222229999181818181818181818181818181818181818181818181818818181818181
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χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ41-11111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−i−iii1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−i−iii
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χ886-6-3-3-36333-60000000000000000ζ14−ζ22+2ζ26−2ζ34−2ζ14−ζ22−ζ26+ζ34ζ14+2ζ22−ζ26+ζ34000−ζ14+ζ22−2ζ26+2ζ342ζ14+ζ22+ζ26−ζ34−ζ14−2ζ22+ζ26−ζ34000000000-66333-6-3-3-360000000000000000−ζ14+ζ22−2ζ26+2ζ342ζ14+ζ22+ζ26−ζ34−ζ14−2ζ22+ζ26−ζ34000ζ14−ζ22+2ζ26−2ζ34−2ζ14−ζ22−ζ26+ζ34ζ14+2ζ22−ζ26+ζ34000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.