Finite Group Databasebeta

← Group #14517543

Character table — Group #14517543

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size111111222222222222222333333333333666666666666666666666666666666666666666666181818181818181818181818181818181818181818181818181818181818181818181818545454545454545454545454545454545454
order12336633346661212121212121212999999181818181818333666999999121212121212181818181818363636363636363636363636363636363636999999999181818181818181818363636363636363636363636363636363636226666181818181818181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ5111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ6111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ7111111111-1111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1111-1-1-1
χ8111111111-1111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111-1-1-1111
χ9111111111-1111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-111-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ10111111111-1111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ11111111111-1111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-111-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ12111111111-1111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ13222222222222222222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ14222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000
χ15222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1-122-1-1-1-122-1-1-1-122-1-1000000000000000000
χ16222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122000000000000000000
χ17222222222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000000000
χ18222222222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i3222-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32000000000000000000
χ19222222222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-1-122-1-11+i321+i32−1−i3−1−i31+i321+i321−i321−i32−1+i3−1+i31−i321−i32000000000000000000
χ20222222222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i3-1-1-1-1221+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i32−1+i3−1+i3000000000000000000
χ21222222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000000000
χ22222222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i3222-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32000000000000000000
χ23222222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-1-122-1-11−i321−i32−1+i3−1+i31−i321−i321+i321+i32−1−i3−1−i31+i321+i32000000000000000000
χ24222222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3-1-1-1-1221−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i321+i32−1−i3−1−i3000000000000000000
χ25222222222-2222-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111000000000000000000
χ26222222222-2222-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-2-2-2-2-2-21111111111112-1-12-1-12-1-12-1-12-1-12-1-1-2-21111-2-21111-2-21111000000000000000000
χ27222222222-2222-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-2-2-2-2-2-2111111111111-12-1-12-1-12-1-12-1-12-1-12-111-2-21111-2-21111-2-211000000000000000000
χ28222222222-2222-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-2-2-2-2-2-2111111111111-1-12-1-12-1-12-1-12-1-12-1-121111-2-21111-2-21111-2-2000000000000000000
χ29222222222-2222-2-2-2-2-2-2-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-2-2-2-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i31+i31+i31+i31+i31+i31+i31−i31−i31−i31−i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000
χ30222222222-2222-2-2-2-2-2-2-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321111111+i321+i321+i321−i321−i321−i321+i31+i31+i31−i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i322-1-1−1−i31+i321+i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32-2-211111+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000000000000
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Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.