Finite Group Databasebeta

← Group #13265107

Character table — Group #13265107

Order 1792.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226
size1111111122222222222222222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888828282828282828282828282828282828112112112112
order12224444224444447778888888814141414141414141414141414141414141414141428282828282828282828282828282828282828282828282844888828282828282828282828282828282828282828282828282856565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565688888888565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656161616161616161616161616161616162444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1
χ611111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111
χ711111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111
χ811111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1
χ91111-1-1-1-111-1-111-1-11111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-1
χ101111-1-1-1-111-1-111-1-11111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-11
χ111111-1-1-1-111-1-111-1-11111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i-11-11
χ121111-1-1-1-111-1-111-1-11111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−iiiii1-11-1
χ131111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-11
χ141111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-111-1
χ151111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ161111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ172222222222222222222-2-2-2-2-2-2-2-222222222222222222222222222222222222222222222222-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ182222222222222222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422222222−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−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−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−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104222222−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−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−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−ζ10422222222−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−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−ζ10400000000000000000000
χ192222222222222222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422222222−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−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−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−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104−ζ8−ζ104222222−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−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−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−ζ104-2-2-2-2-2-2-2-2ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ8+ζ104ζ8+ζ10400000000000000000000
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χ2264-4-44-444-400000000−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ88−2i22i22i2−2i2−2i22i22i2−2i22ζ8−2ζ104−2ζ8+2ζ104−2ζ8+2ζ1042ζ8−2ζ104−2ζ40+2ζ722ζ40−2ζ722ζ40−2ζ72−2ζ40+2ζ72−2ζ24+2ζ882ζ24−2ζ882ζ24−2ζ88−2ζ24+2ζ882ζ8+2ζ1042ζ8+2ζ104−2ζ8−2ζ1042ζ40+2ζ722ζ40+2ζ72−2ζ40−2ζ722ζ24+2ζ882ζ24+2ζ88−2ζ24−2ζ882ζ8+2ζ104−2ζ8−2ζ104−2ζ8−2ζ1042ζ8+2ζ1042ζ40+2ζ72−2ζ40−2ζ72−2ζ40−2ζ722ζ40+2ζ722ζ24+2ζ88−2ζ24−2ζ88−2ζ24−2ζ882ζ24+2ζ882ζ8−2ζ104−2ζ8+2ζ104−2ζ8+2ζ1042ζ8−2ζ104−2ζ40+2ζ722ζ40−2ζ722ζ40−2ζ72−2ζ40+2ζ722ζ24−2ζ88−2ζ24+2ζ88−2ζ24+2ζ882ζ24−2ζ88000000000000000000000000000000ζ62−ζ78+ζ90−ζ106−ζ62+ζ78−ζ90+ζ106−ζ62+ζ78−ζ90+ζ106ζ62−ζ78+ζ90−ζ106ζ26−ζ30−ζ58+ζ110−ζ26+ζ30+ζ58−ζ110−ζ26+ζ30+ζ58−ζ110ζ26−ζ30−ζ58+ζ110−ζ10+ζ46+ζ74−ζ94ζ10−ζ46−ζ74+ζ94ζ10−ζ46−ζ74+ζ94−ζ10+ζ46+ζ74−ζ94−ζ62+ζ78−ζ90+ζ106ζ62−ζ78+ζ90−ζ106ζ62−ζ78+ζ90−ζ106−ζ62+ζ78−ζ90+ζ106−ζ26+ζ30+ζ58−ζ110ζ26−ζ30−ζ58+ζ110ζ26−ζ30−ζ58+ζ110−ζ26+ζ30+ζ58−ζ110−ζ10+ζ46+ζ74−ζ94ζ10−ζ46−ζ74+ζ94ζ10−ζ46−ζ74+ζ94−ζ10+ζ46+ζ74−ζ94−ζ62−ζ78−ζ90−ζ106ζ62+ζ78+ζ90+ζ106ζ62+ζ78+ζ90+ζ106−ζ62−ζ78−ζ90−ζ106−ζ26−ζ30−ζ58−ζ110ζ26+ζ30+ζ58+ζ110ζ26+ζ30+ζ58+ζ110−ζ26−ζ30−ζ58−ζ110−ζ10−ζ46−ζ74−ζ94ζ10+ζ46+ζ74+ζ94ζ10+ζ46+ζ74+ζ94−ζ10−ζ46−ζ74−ζ94−ζ62−ζ78−ζ90−ζ106ζ62+ζ78+ζ90+ζ106ζ62+ζ78+ζ90+ζ106−ζ62−ζ78−ζ90−ζ106−ζ26−ζ30−ζ58−ζ110ζ26+ζ30+ζ58+ζ110ζ26+ζ30+ζ58+ζ110−ζ26−ζ30−ζ58−ζ110−ζ10−ζ46−ζ74−ζ94ζ10+ζ46+ζ74+ζ94ζ10+ζ46+ζ74+ζ94−ζ10−ζ46−ζ74−ζ940000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 112 (ζ112 = 1); i = ζ28.