Finite Group Databasebeta

← Group #12992800

Character table — Group #12992800

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size1111222222222222444444444444444444444444444448888888888888888888888888888881616161616161616161616161616161620202020202020202020202040404040404040404040
order1222444455101010101010244448888101010102020202020202020202020202020202022244444882020202040404040404040404040404040404040101010101010202020202020202020202244444444442224448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ5111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111111-1-11-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111
χ7111111111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-111-111-1-1-1-1
χ8111111111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1111-1-11-1-11111
χ911111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-11-11-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111-11-11-1111-1-1-1-11-111-11-11-1
χ1011111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-11-11-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-11-11-11-1-1-11111-11-1-11-11-11
χ1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-11-11-11-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11-11-11-1-1-11-1111-11-1-111-11-1
χ1211111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-11-11-11-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11-11-1111-11-1-1-11-111-1-11-11
χ1311111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11-11-11-1111-1-1-1-1-111-11-11-11
χ1411111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-11-11-11-1-1-111111-1-11-11-11-1
χ1511111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111-11-11-1-1-11-11111-1-11-1-11-11
χ1611111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-11-11-1111-11-1-1-1-111-111-11-1
χ171111-1-11111111111-11-11-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-11-111-1-11
χ181111-1-11111111111-11-11-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-1-111-1
χ191111-1-11111111111-11-11-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11-11-11-11-1-11
χ201111-1-11111111111-11-11-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-11-11-11-111-1
χ211111-1-11111111111-11-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-111-1
χ221111-1-11111111111-11-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-111-1-11
χ231111-1-11111111111-11-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-111-1-1-11-111-1
χ241111-1-11111111111-11-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1111-11-1-11
χ251111-1-11111111111-1-11-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-11-1-11-11-1111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11-1-11-11-1-11-1-1-11111-1-111-1-1
χ261111-1-11111111111-1-11-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-11-1-11-11-1111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-111-11-111-1111-1-1-1-111-1-111
χ271111-1-11111111111-1-11-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-111-11-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111-1-11-11111-111-1-1-1-11111-1-1
χ281111-1-11111111111-1-11-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-111-11-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-111-11-1-1-1-11-1-11111-1-1-1-111
χ291111-1-11111111111-1-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-111-11-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111-1-11-11-1-11-1-1-11-1-1111-1-111
χ301111-1-11111111111-1-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-111-11-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-111-11-111-1111-111-1-1-111-1-1
χ311111-1-11111111111-1-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-111-11-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11-11111-111-111-1-1-1-1-111
χ321111-1-11111111111-1-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-111-11-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-11-1-1-1-11-1-11-1-111111-1-1
χ3322222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+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+52−1−522222222222−1+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+52−1−52−1−52−1+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+52−1−520000000000000000000000
χ3422222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+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+52−1−52-2-2-2-2-2-2-2-222−1+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+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000000000
χ3522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-2-2-2-2−1+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+52−1−5222-2-222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+520000000000000000000000
χ3622222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-2-2-2-2−1+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+52−1−52-2-222-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000000000000000000000
χ3722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−522-22-22-22-2-2-21−521+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+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000000000
χ3822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-22-22-22-22-2-21−521+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+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000000000
χ3922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−522-2-222-2-22221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
χ4022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-222-2-222-2221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ4122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+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+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+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+520000000000000000000000
χ4222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+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+52-2-2-2-2-2-2-2-222−1−52−1+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+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000000000
χ4322222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-2-2-2-2−1−52−1−52−1+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+5222-2-222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−520000000000000000000000
χ4422222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-2-2-2-2−1−52−1−52−1+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+52-2-222-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000000000000000000000
χ4522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+522-22-22-22-2-2-21+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+521−521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000000000000000
χ4622222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52-22-22-22-22-2-21+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+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000000000000000000000
χ4722222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+522-2-222-2-22221+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+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000000000
χ4822222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52-222-2-222-2221+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+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
χ49222222-2-222222222-22-2-220000-2-2-2-2-2-2222222222222-2-20000000000-2-2-2-2000000000000000000000000000000002-2-222-200-22000000000000
χ50222222-2-222222222-22-2-220000-2-2-2-2-2-2222222222222-2-20000000000-2-2-2-200000000000000000000000000000000-222-2-22002-2000000000000
χ51222222-2-222222222-2-222-20000-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000022220000000000000000000000000000000022-2-22200-2-2000000000000
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χ532222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-22-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522222-2-2-2-22-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+520000000000000000000000
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χ1014-4-44004-444-44-44-4-4000000000000044000000000000-4-400000000000000000000000000000000000000000000000000004i−4i00000000000000
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χ1058-88-8000088-8-8-8-8880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-80000−2+25−2−252−252−252+252+25−2+25−2−250000000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-80000−2+25−2−252−252−252+252+25−2+25−2−25000000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ36000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-80000−2−25−2+252+252+252−252−25−2−25−2+25000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ28000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-80000−2−25−2+252+252+252−252−25−2−25−2+250000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88008-8−2+25−2−252−25−2+252+25−2−252−252+250000000000000−2+25−2−250000000000002−252+2500000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88008-8−2−25−2+252+25−2−252−25−2+252+252−250000000000000−2−25−2+250000000000002+252−2500000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-88−2+25−2−252−25−2+252+25−2−252−252+2500000000000002−252+25000000000000−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-88−2−25−2+252+25−2−252−25−2+252+252−2500000000000002+252−25000000000000−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.