Finite Group Databasebeta

← Group #13006079

Character table — Group #13006079

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11112222224444444444442222444444888888888888222244444488888888888855551010101010102020202020202020202020201111222222444444444444222244444488888888888822224444448888888888885555101010101010202020202020202020202020
order1222444444222444444444510101020202020202010101020202020202020202051010102020202020201010102020202020202020202222444444222444444444222244444422244444444410101010202020202020101010202020202020202020101010102020202020201010102020202020202020202222444444222444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1
χ31111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-1
χ41111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-111
χ5111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1
χ6111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11
χ7111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11
χ8111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1
χ91111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-111
χ101111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-1
χ111111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-1
χ121111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-111111
χ131111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-1
χ141111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-11
χ151111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-11
χ161111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-1
χ172-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i000000000000
χ182-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i000000000000
χ192-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i000000000000
χ202-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i000000000000
χ2144-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-4000000000000000000
χ224-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-44000000000000000000
χ23111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111
χ251111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1111111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-11111111111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111
χ261111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-11111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1
χ27111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1-1-1-1-1-1-11111-11-111-11-11-1-11111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1111111-1-1-1-11-11-1-11-11-111-1-1-1-1-1-1-11111-11-111-11-11-1-11
χ28111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11-1-1-1-1-1-11111-111-1-11-1-1111-1111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11111111-1-1-1-11-1-111-111-1-1-11-1-1-1-1-1-11111-111-1-11-1-1111-1
χ29111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11-1-1-1-1-1-111111-1-1111-11-1-11-1111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11111111-1-1-1-1-111-1-1-11-111-11-1-1-1-1-1-111111-1-1111-11-1-11-1
χ30111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1-1-1-1-1-1-111111-11-1-1-111-11-11111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1111111-1-1-1-1-11-1111-1-11-11-1-1-1-1-1-1-111111-11-1-1-111-11-11
χ311111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-111-1-1-1-111-1-111-1-1-11-111111-1-11111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-1111-11-1-1-1-1-111-1-1-1-111-1-111-1-1-11-111111-1-1
χ321111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-1-1-1-1-111-1-111-1-11-11-1-111-1111111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-11111-1-111-1-111-11-111-1-11-1-1-1-1-1-111-1-111-1-11-11-1-111-111
χ331111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-1-1-1-1-111-1-11111-11-1-1-1-1-11111111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-11111-1-111-1-1-1-11-111111-1-1-1-1-1-1-111-1-11111-11-1-1-1-1-1111
χ341111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-111111-1-1-1-111-1-111111-1111-1-1-1-1-11111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-1111111111-1-111-1-1-1-1-11-1-1-111111-1-1-1-111-1-111111-1111-1-1-1-1-1
χ351111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-1-1-1-1-11111-1-1-11-1-111-11-11-111111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-11111-1-1-1-1111-111-1-11-11-11-1-1-1-1-11111-1-1-11-1-111-11-11-11
χ361111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-11-1-1-1-11111-1-1-1111-1-111-1-11-11111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1111-1-1-111-1-111-11-1-1-1-11111-1-1-1111-1-111-1-11-1
χ371111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-11-1-1-1-11111-1-11-1-1-11-11-1111-11111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-111111-1-1-1-111-1111-11-11-1-1-11-1-1-1-11111-1-11-1-1-11-11-1111-1
χ381111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-1-1-1-1-11111-1-11-111-11-1-11-1-111111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-11111-1-1-1-111-11-1-11-111-111-1-1-1-1-11111-1-11-111-11-1-11-1-11
χ392-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i000000000000-22-22−2i2i-22−2i2i0000000000002-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i0000000000002-22-22i−2i2-22i−2i000000000000-22-22−2i2i-22−2i2i000000000000
χ402-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i000000000000-22-22−2i2i2-22i−2i0000000000002-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i0000000000002-22-22i−2i-22−2i2i000000000000-22-22−2i2i2-22i−2i000000000000
χ412-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i000000000000-22-222i−2i-222i−2i0000000000002-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i0000000000002-22-2−2i2i2-2−2i2i000000000000-22-222i−2i-222i−2i000000000000
χ422-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i000000000000-22-222i−2i2-2−2i2i0000000000002-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i0000000000002-22-2−2i2i-222i−2i000000000000-22-222i−2i2-2−2i2i000000000000
χ4344-4-400000000000000000044-4-400000000000000000044-4-4000000000000000000-4-44400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-4000000000000000000-4-444000000000000000000
χ444-4-440000000000000000004-4-440000000000000000004-4-44000000000000000000-444-40000000000000000004-4-440000000000000000004-4-440000000000000000004-4-44000000000000000000-444-4000000000000000000
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χ1692222-2-2-2-222-2222-22-22-2-2-22−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1−52−1−521+52−1−521+52−1−521+521+521+52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1+52−1+521−52−1+521−52−1+521−521−521−52−1+520000000000000000000000-2-2-2-22222-2-22-2-2-22-22-2222-21+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−521+521+521+52−1−521+52−1−521+52−1−52−1−52−1−521+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+521−521−521−52−1+521−52−1+521−52−1+52−1+52−1+521−520000000000000000000000
χ1702222-2-2-2-222-22-2-22-222-222-2−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−521+521+52−1−521+52−1−52−1−521+52−1−52−1−521+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+521−521−52−1+521−52−1+52−1+521−52−1+52−1+521−520000000000000000000000-2-2-2-22222-2-22-222-22-2-22-2-221+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−521+521+52−1−521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+521−521−52−1+520000000000000000000000
χ1714-44-44i−4i4-44i−4i000000000000−1−51+5−1−51+5−2ζ3−2ζ72ζ3+2ζ7−1−51+5−2ζ3−2ζ72ζ3+2ζ7000000000000−1+51−5−1+51−5−2ζ11−2ζ192ζ11+2ζ19−1+51−5−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000-44-44−4i4i-44−4i4i0000000000001+5−1−51+5−1−52ζ3+2ζ7−2ζ3−2ζ71+5−1−52ζ3+2ζ7−2ζ3−2ζ70000000000001−5−1+51−5−1+52ζ11+2ζ19−2ζ11−2ζ191−5−1+52ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000
χ1724-44-44i−4i-44−4i4i000000000000−1−51+5−1−51+5−2ζ3−2ζ72ζ3+2ζ71+5−1−52ζ3+2ζ7−2ζ3−2ζ7000000000000−1+51−5−1+51−5−2ζ11−2ζ192ζ11+2ζ191−5−1+52ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000-44-44−4i4i4-44i−4i0000000000001+5−1−51+5−1−52ζ3+2ζ7−2ζ3−2ζ7−1−51+5−2ζ3−2ζ72ζ3+2ζ70000000000001−5−1+51−5−1+52ζ11+2ζ19−2ζ11−2ζ19−1+51−5−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000
χ1734-44-4−4i4i4-4−4i4i000000000000−1−51+5−1−51+52ζ3+2ζ7−2ζ3−2ζ7−1−51+52ζ3+2ζ7−2ζ3−2ζ7000000000000−1+51−5−1+51−52ζ11+2ζ19−2ζ11−2ζ19−1+51−52ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000-44-444i−4i-444i−4i0000000000001+5−1−51+5−1−5−2ζ3−2ζ72ζ3+2ζ71+5−1−5−2ζ3−2ζ72ζ3+2ζ70000000000001−5−1+51−5−1+5−2ζ11−2ζ192ζ11+2ζ191−5−1+5−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000
χ1744-44-4−4i4i-444i−4i000000000000−1−51+5−1−51+52ζ3+2ζ7−2ζ3−2ζ71+5−1−5−2ζ3−2ζ72ζ3+2ζ7000000000000−1+51−5−1+51−52ζ11+2ζ19−2ζ11−2ζ191−5−1+5−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000-44-444i−4i4-4−4i4i0000000000001+5−1−51+5−1−5−2ζ3−2ζ72ζ3+2ζ7−1−51+52ζ3+2ζ7−2ζ3−2ζ70000000000001−5−1+51−5−1+5−2ζ11−2ζ192ζ11+2ζ19−1+51−52ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000
χ17588-8-8000000000000000000−2−25−2−252+252+25000000000000000000−2+25−2+252−252−250000000000000000000000000000000000000000-8-8880000000000000000002+252+25−2−25−2−250000000000000000002−252−25−2+25−2+250000000000000000000000000000000000000000
χ1768-8-88000000000000000000−2−252+252+25−2−25000000000000000000−2+252−252−25−2+250000000000000000000000000000000000000000-888-80000000000000000002+25−2−25−2−252+250000000000000000002−25−2+25−2+252−250000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.