Finite Group Databasebeta

← Group #12977400

Character table — Group #12977400

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size111122222222222244444444444444444444444444444444444444488888888888888888888888888888888810101010161616161616161616161616202020202020202020202020404040404040404040
order1222444455101010101010224444444888888101010102020202020202020202020204040404040404040244444810102020202020202020202020204040404040404040404040402244101020202020202020202020222244444488244444888
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
χ311111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1111111-1-1-11-111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111-11-1-11111
χ51111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-111-1-11-11-1-11-1-1-1
χ61111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-11-111-1111
χ71111111111111111111-1-111-1-1111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111
χ81111111111111111111-1-111-1-1111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1
χ91111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-111-11-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-11-1-1
χ101111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-111-11-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-11-11-111
χ111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-111-111
χ121111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1111-1-11-1-1
χ131111111111111111-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-111
χ141111111111111111-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111-1-1-1111-1-1
χ151111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-11111-11-111-1-1
χ161111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-11-11-1-111
χ171111-1-111111111111-1-1111-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111-111-1-1111-111-11-1-1-11-11-1
χ181111-1-111111111111-1-1111-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-111-1-1-11-1-11-1111-11-11
χ191111-1-111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1111-1-1-11-11
χ201111-1-111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1111-1-1-1111-11-1
χ211111-1-111111111111-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1-1-111111-111-1-1-1-11-1-1-1-1-1-11111-11
χ221111-1-111111111111-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1111111-1-1-1-11-1
χ231111-1-111111111111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-11-1-1-1-1-1-1-11-1111-1111-1-11-1
χ241111-1-111111111111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-11111111-11-1-1-11-1-1-111-11
χ251111-1-11111111111-11-111-111111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-111-11111-1-11-1-1-1-11
χ261111-1-11111111111-11-111-111111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-11-1-1-1-111-11111-1
χ271111-1-11111111111-11-111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-111-11-1-1-1-111-11-1-1-1-111-1111-1
χ281111-1-11111111111-11-111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11111-1-11-11111-1-11-1-1-11
χ291111-1-11111111111-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-111-1-1-1111-1-1-1-1-11-1-111-1-11-111-1
χ301111-1-11111111111-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1-1-111111-111-1-111-11-1-11
χ311111-1-11111111111-11-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-11-1-1-1-1-1-1-1111-111-111-1-11
χ321111-1-11111111111-11-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11111111-1-1-11-1-11-1-111-1
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+52-222-22-2-2−1+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+5200001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000000
χ3522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-22222-2-2-2-2-2-2−1+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+522-2-22-22-2−1+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+521−521−521+521+521−521−521+521+520000−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000
χ3622222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-222-2-2222222−1+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+52−1−52−1+52−1−521−521−521+521+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
χ3722222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2222-2-22222-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−52-2-2-222-221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000
χ3822222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2222-2-2-2-2-2-222221−521−521+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+522-2-2-222-21−521+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+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000
χ3922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2-2-222-2-222221−521−521+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+52-2222-2-2-21−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000
χ4022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2-2-2-2-222-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−52222-2-2221−521+52−1+52−1−521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−521−521+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+521−521−521−521−52-222-22-2-2−1−52−1+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+521−521−5200001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000000
χ4322222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-22222-2-2-2-2-2-2−1−52−1−52−1+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+521−521−521−521−522-2-22-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000000
χ4422222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-222-2-2222222−1−52−1−52−1+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+52−1−52−1+521+521+521−521−52−1−52−1+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
χ4522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2222-2-22222-2-2-2-21+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+52-2-2-222-221+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000000
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χ1248-8-8800-88−2+25−2−252−252+252−252+25−2+25−2−250000000000000000000000000002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8800-88−2−25−2+252+252−252+252−25−2−25−2+250000000000000000000000000002+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000

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