Finite Group Databasebeta

← Group #12975171

Character table — Group #12975171

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size111122222222222244444444444444444444444444444444444444488888888888888888888888888888888810101010161616161616161616161616202020202020202020202020404040404040404040
order1222444455101010101010222244444888888202020202020202020202020202020204040404040404040224444810101010101010102020202020204040404040404040404040402244101010102020202020202020224444444488224444888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-11-11-11-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11-11111
χ51111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-11-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1-1111-1111111-1-1-1-1-11-1
χ61111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-11-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-1-11-1-1-1-1-1-111111-11
χ71111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-11-1-1-1111-1-1-1-1-11-1-11-111-11
χ81111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1111-1-1-111111-111-11-1-11-1
χ911111111111111111-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-1-1111-1-1-11-11-11-1-1-1
χ1011111111111111111-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111-11-11-1111
χ1111111111111111111-1-11111-1-1111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-1-1-1111
χ1211111111111111111-1-11111-1-1111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1
χ1311111111111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-11-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1111-1-1-11-1-1-111-1-1-111-11-11-11
χ1411111111111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-11-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1111-1111-1-1111-1-11-11-11-1
χ1511111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1111-1-1-11-1-1-1-1-111-1-11111-11-1
χ1611111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1111-111111-1-111-1-1-1-11-11
χ171111-1-11111111111-1111-1-1111-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-1-11-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11-1-1-11111111-1-1-1-111-1-11
χ181111-1-11111111111-1111-1-1111-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-1-11-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111-1111-1-1-1-1-1-1-11111-1-111-1
χ191111-1-11111111111-1111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-11-1-1-1111-1-1-1-1-11-111-111-1
χ201111-1-11111111111-1111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1111-1-1-111111-11-1-11-1-11
χ211111-1-11111111111-111-111-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-111-11111-1-111-1-11-1-1
χ221111-1-11111111111-111-111-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-11-1-1-1-111-1-111-111
χ231111-1-11111111111-111-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1-11-111
χ241111-1-11111111111-111-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1111111-1-111-11-1-1
χ251111-1-11111111111-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-11111-1-111-1-1-11-1-1-1-1-1111-1-11-11-1-1111-1
χ261111-1-11111111111-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-111111-1-1-111-11-111-1-1-11
χ271111-1-11111111111-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-11-1-1-1-1-11-1-1111111-1-1-1-11
χ281111-1-11111111111-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-11-111111-111-1-1-1-1-1-11111-1
χ291111-1-11111111111-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11-1-111-1-111
χ301111-1-11111111111-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-111-1-111-1-1
χ311111-1-11111111111-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111-1-1
χ321111-1-11111111111-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-111
χ3322222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+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+52−1−522222222-2-2-2-2-2-2-2-2−1+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+52-2-2-2222-2−1+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+5200001−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52000000000000000000000
χ3522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-222-2-222-2-21−521−521+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+52−1−52−1−52−1−52−1−522-2-2-22-22−1+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+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521+52000000000000000000000
χ3622222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2-2-222-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-222-22-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000
χ3722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2222222-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521+521+521+521+52222-2-2-2-2−1+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+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52000000000000000000000
χ3822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22222-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-22−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000
χ3922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2-22222-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2-22-22-2−1+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+52−1−52−1−520000−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000000
χ4022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2-2-2-2-2-222-2-21−521−521+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+52−1−52−1−52−1−52−1−52-2222-222−1+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+5200001−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−52000000000000000000000
χ4122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+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+522222222-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52-2-2-2222-2−1−52−1+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+521−521−5200001+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52000000000000000000000
χ4322222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-222-2-222-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2-22-22−1−52−1+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+521+521+521−521−520000−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521−52000000000000000000000
χ4422222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2-2-222-2-2221+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+521−521−521−521−52-222-22-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.