Finite Group Databasebeta

← Group #12968610

Character table — Group #12968610

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222222222444444444444444444444444444444555588888888888888888888888888881010101010101010101016161616161616161616161616161616202020202020202020204040404040404040
order1222224444444455101010101010448888888810101010202020202020202020202020202020204444444444442020202040404040404040404040404040404040222244444420202020202020202020202020202020448888888822224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ1111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111
χ1211111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ171111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1111111111-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111111111-11-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11-11-11-11
χ191111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-11-11-11-11
χ201111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1111-11-11-11-1
χ211111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111111111-11-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1111-11-1-11-11
χ221111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111111111-11-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ231111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-111-1-1-11-111-11-1
χ241111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-111-1-11-11-1-11-11
χ251111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-111-1-111-1
χ271111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-1-111-1
χ281111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-111-1-11
χ291111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-11-1-11-111-1
χ301111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-11111-1-1-111-11-1-11
χ311111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-111-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-111-11-1-11
χ321111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111-1-11-111-1
χ3322222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3422222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ3522222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200002222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3622222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ3722222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ3822222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ3922222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200002222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ4022222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-22222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ4122222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022-2-222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ4222222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-222-2-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ4322222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022-2-2-2-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ4422222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-22222-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ4522222222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022-2-222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ4622222222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-222-2-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ4722222222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022-2-2-2-2221+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
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χ1154-44-4000000-4400444-44-4-4-40000000000000000-4400-44000000004i−4i4i−4i000000000000000000000000000000000000−4i4i0000000000000000000000000000000000
χ1164-44-4000000-4400444-44-4-4-40000000000000000-4400-4400000000−4i4i−4i4i0000000000000000000000000000000000004i−4i0000000000000000000000000000000000
χ1174-4-4400004-4000044-44-44-4-4000000000000004-4004-400000000004i−4i−4i4i00000000000000000000000000000000004i−4i000000000000000000000000000000000000
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χ1218-88-80000008-800−2+25−2−25−2+252−25−2−252+252−252+250000000000000000−2+252−2500−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-80000008-800−2−25−2+25−2−252+25−2+252−252+252−250000000000000000−2−252+2500−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8000000-8800−2+25−2−25−2+252−25−2−252+252−252+2500000000000000002−25−2+25002+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88-8000000-8800−2−25−2+25−2−252+25−2+252−252+252−2500000000000000002+25−2−25002−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8800008-80000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000−2+252−2500−2−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8800008-80000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000−2−252+2500−2+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-880000-880000−2+25−2−252−25−2+252+25−2−252−252+25000000000000002−25−2+25002+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-880000-880000−2−25−2+252+25−2−252−25−2+252+252−25000000000000002+25−2−25002−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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