Finite Group Databasebeta

← Group #12996182

Character table — Group #12996182

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size11112222222222224444444444444444444444444444444444488888888888888888888888888888888888161616161616161616161616202020202020202020204040404040404040404040
order1222444455101010101010224444488882020202020202020202020202020202040404040404040404444444881010101020202020202020202020404040404040404040404040202020202020202020202020244444444422444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111-11-1-11-1-1-1-1-1
χ411111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-111111
χ511111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111
χ611111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-11-111-11-1-1-1-1
χ811111111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-11-11111
χ911111111111111111-1-1-111-111111111-1-1-1-1-1-1-1-1111111111111-1-111-11-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1-11-1-1-1111-11-111-1-1
χ1011111111111111111-1-1-111-111111111-1-1-1-1-1-1-1-1111111111111-1-111-11-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-111-1111-1-1-11-11-1-111
χ1111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-11-1-1-1-11-1111-1-111
χ1211111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-111-11111-11-1-1-111-1-1
χ1311111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111-1-11-1-11-1-1-11-1111-1-1
χ1411111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-111-111-1111-11-1-1-111
χ1511111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-111111-1-11-1-111-11-1-1-1-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-111-1-11-111111-1-1
χ171111-1-11111111111-111-111-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-11-11-11-11-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11-1-11-111-1-1-1111-11-1
χ181111-1-11111111111-111-111-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-11-11-11-11-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-111-11-1-1111-1-1-11-11
χ191111-1-11111111111-111-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1-11-1-11-11-1-1111-1-11-11
χ201111-1-11111111111-111-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-111-11-111-1-1-111-11-1
χ211111-1-11111111111-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111111-11-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-11-1-11-1-1-1111-1-11-11-1
χ221111-1-11111111111-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111111-11-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11-111-1111-1-1-111-11-11
χ231111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111111-11-1-11-1-111-1-1-11-11-11
χ241111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11-111-111-1-1111-11-11-1
χ251111-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11-11-1-111-11-1-11
χ261111-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-11-111-1-11-111-1
χ271111-1-11111111111-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-11-1-11-1-1-11-111-111-1
χ281111-1-11111111111-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-111-1111-11-1-11-1-11
χ291111-1-11111111111-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-111-111-1-111-1-11
χ301111-1-11111111111-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-111-1-11-1-111-1-111-1
χ311111-1-11111111111-1-1-11-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-11-1-11111-11-1-1-111-1
χ321111-1-11111111111-1-1-11-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-111-1-1-1-11-1111-1-11
χ3322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222222−1+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+52−1−52−1−52−1−52−1−52222222222−1+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+52−1−52−1−52−1+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+52−1−52000000000000000000000
χ3422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222-2-2-2-2−1+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+52−1−521−521−521−521−521+521+521+521+522-2-222-2-2-2-2−1+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+521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000
χ3522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-222−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000
χ3622222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-22-2-2-2-2−1+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+52−1−521−521−521−521−521+521+521+521+52-222-2-222-2-2−1+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+521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000
χ3722222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-222-22222−1+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+52−1−52−1−52−1−52−1−52-2-222-22-2-2-2−1+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+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+52000000000000000000000
χ3822222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-222-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-22-22-2-2222−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000000
χ3922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−5222-2-22-22-2-2−1+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+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000
χ4022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-22-222-222−1+52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+52000000000000000000000
χ4122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222222−1−52−1−52−1+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+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+52−1−52−1−52−1+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+52000000000000000000000
χ4222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−522-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000
χ4322222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-222222−1−52−1−52−1+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+52-2-2-2-2-2-2-222−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000
χ4422222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-22-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−52-222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000
χ4522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-222-22222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222-22-2-2-2−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000000
χ4622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-222-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-22-22-2-2222−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000000000
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χ1064-4-44−4i4i00−1+5−1−51−51+51−51+5−1+5−1−5000000022−22−2i22i22ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.