Finite Group Databasebeta

← Group #13507623

Character table — Group #13507623

Order 1792.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size1111222222222222222222222244444444444444444444444444444444888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616282828282828282828282828565656565656112112
order1222224444777888814141414141414141488141414141414282828282828282828282828565656565656565656565656224416161616565656565656112112112112112112112112112112112112112112112112112112112112112112112112221414141414141414141414141414141414142828282828282244161616161616161622228844
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-11-11-1
χ101111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-11-11
χ111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1111111-1-11-1-11
χ121111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-111-1
χ131111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11111-1-1-1-1-1-1111-1-11
χ141111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-1111111-1-1-111-1
χ151111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-11-1-1-1-1-11111-1-1111-11-1
χ161111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-11-111111-1-1-1-111-1-1-11-11
χ172222222222222-2-2-2-2222222222-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2000000000000000000000000000000000000000000000000002222000000000000-2-200
χ182222222222222-2-2-2-2222222222-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-200000000000000000000000000000000000000000000000000-2-2-2-20000000000002200
χ192222222222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ1042222−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ10422222222−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ10422−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ10400000000000000000000
χ202222222222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ1042222−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ1042222-2-2-2-2−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ104-2-2−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ10400000000000000000000
χ212222222222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ1042222−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104-2-2-2-22222−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104-2-2ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ10400000000000000000000
χ222222222222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ1042222−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104-2-2-2-2-2-2-2-2−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ10422ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ10400000000000000000000
χ232222222222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ722222−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ7222−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ7222222222−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ40−ζ7222−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ7200000000000000000000
χ242222222222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ722222−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ7222−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ722222-2-2-2-2−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72-2-2−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ7200000000000000000000
χ252222222222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ722222−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ7222−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72-2-2-2-22222−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72−ζ40−ζ72-2-2ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ7200000000000000000000
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Here ζ is a primitive root of unity of order 112 (ζ112 = 1).