Finite Group Databasebeta

← Group #12313840

Character table — Group #12313840

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222244444444448888888888888888888888888888888888888888888888101010101616161616161616161616162020202020202020202040404040404040404040
order1222222255101010101010101010101010101044444444442444444444101010102020202020202020202020202020202020202020202020202020202020202020222220202020202020202020202044444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111111-1-1-11-1-1-1-1-1
χ41111111111111111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111
χ51111111111111111111111111111-1-111-1-111-1-1-11-1-11-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-111-1-1-111-1-1
χ61111111111111111111111111111-1-111-1-111-1-1-11-1-11-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1111-1-1111-1-111
χ71111111111111111111111111111-1-111-1-1-1-1-11-1-111-11-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-11-11-1-111
χ81111111111111111111111111111-1-111-1-1-1-1-11-1-111-11-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111111-11-111-1-1
χ911111111111111111111111111-1-111-1-1-1-11-111-111-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-111-1-1-1-111-11-111-1-1-1
χ1011111111111111111111111111-1-111-1-1-1-11-111-111-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-11-11-1-1111
χ1111111111111111111111111111-1-111-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-11-1-1-1-1111
χ1211111111111111111111111111-1-111-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-11-11111-1-1-1
χ1311111111111111111111111111-1-1-1-1-1-1111-1-1-111-11-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-11-1-11-11-111
χ1411111111111111111111111111-1-1-1-1-1-1111-1-1-111-11-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-11-11-1-1
χ1511111111111111111111111111-1-1-1-1-1-111-11-111-11-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-111-1-11111-11-1-1
χ1611111111111111111111111111-1-1-1-1-1-111-11-111-11-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-111-1-1-1-11-111
χ17111111111111111111111111-1-11111-1-1-1-11-1-111-1-111-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11
χ18111111111111111111111111-1-11111-1-1-1-11-1-111-1-111-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11-1
χ19111111111111111111111111-1-11111-1-1-1-1-11-1-1111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-11111-1-1-1-1-11111-1-1-11-1
χ20111111111111111111111111-1-11111-1-1-1-1-11-1-1111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1111-11
χ21111111111111111111111111-1-111-1-1-1-1111-11-1-1-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-11-1-1111-1
χ22111111111111111111111111-1-111-1-1-1-1111-11-1-1-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-111-1-1-11
χ23111111111111111111111111-1-111-1-1-1-111-1111-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-111111-1-11-1-1-11
χ24111111111111111111111111-1-111-1-1-1-111-1111-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-111-1111-1
χ25111111111111111111111111-1-1-1-111111111-11-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111-11-1
χ26111111111111111111111111-1-1-1-111111111-11-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-11-11
χ27111111111111111111111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-11-1-1-11-11
χ28111111111111111111111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1111-11-1
χ29111111111111111111111111-1-1-1-1-1-111-1-1111-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111-1-11-1111-11-1-11
χ30111111111111111111111111-1-1-1-1-1-111-1-1111-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-11-1-1-11-111-1
χ31111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-111-1
χ32111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111111-1-1111111-1-111-1-111-1-11-1-11
χ3322222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222222222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−5200000000000000000000
χ3422222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222222222-2-22-22-2-2-2-2-21−521−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+5200000000000000000000
χ3522222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222-2-222-2-222-2-2-22-2-22-2−1+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+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200001−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+5200000000000000000000
χ3622222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222-2-222-2-2-2-2-22-2-222-221−521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−5200000000000000000000
χ3722222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-222-2-2-2-22-222-222-2-2-2−1+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+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ3822222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-222-2-2-2-2-222-2-2-2-22221−521−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ3922222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2-2-2222-2-2-222-22-22−1+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+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+5200000000000000000000
χ4022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2-2-222-22-222-22-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+52−1−5200000000000000000000
χ4122222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2-2-22-2-222-2-222-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ4222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2-2-2-22-2-2222-2-221−521−521+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+521−521−521+521+521−521−521+521+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+52−1−52−1+52−1−5200000000000000000000
χ4322222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-2222-22-2-2-22-222−1+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+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+52−1−521−521+521−521+521−521+521−521+52−1+52−1−5200000000000000000000
χ4422222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-222-2222-22-22-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1+52−1−521−521+5200000000000000000000
χ4522222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-222222222-22-2-2-2-2-22−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+5200000000000000000000
χ4622222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222222-2-2-2-2-22222-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ4722222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-222-2-2222-22-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+52−1+52−1−5200000000000000000000
χ4822222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-222-2-2-2-22222-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+5200000000000000000000
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χ1044-4-444-44-4−1−5−1+51+51+5−1−51−51−5−1+51+5−1−51−5−1+5−1−5−1+51+51−5004i−4i00000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000000000
χ1054-4-444-44-4−1−5−1+51+51+5−1−51−51−5−1+51+5−1−51−5−1+5−1−5−1+51+51−500−4i4i0000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000000000
χ1064-4-444-44-4−1−5−1+51+51+5−1−51−51−5−1+51+5−1−51−5−1+5−1−5−1+51+51−500−4i4i00000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000000000
χ1074-4-4-4-444444-4-4-4-4-4-44444-4-444000000000000000000000000000000000000000000000000000000004-4-4400000000000000000000000000000000
χ1084-4-4-4-444444-4-4-4-4-4-44444-4-44400000000000000000000000000000000000000000000000000000000-444-400000000000000000000000000000000
χ109888-8-8-88-8−2+25−2−25−2+25−2+252−25−2−25−2−252+252−25−2+252+25−2−252−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ110888-8-8-88-8−2−25−2+25−2−25−2−252+25−2+25−2+252−252+25−2−252−25−2+252+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-88-88-8-8−2+25−2−252−25−2+25−2+252+25−2−25−2−25−2+252−25−2−252+252−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-88-8-8−2−25−2+252+25−2−25−2−252−25−2+25−2+25−2−252+25−2+252−252+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-88-8-88−2+25−2−252−25−2+252−252+25−2−252+252−252−252+252+25−2+25−2−25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-88-8-88−2−25−2+252+25−2−252+252−25−2+252−252+252+252−252−25−2−25−2+25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8-8-8888−2+25−2−252−252−252−252+252+252+25−2+25−2+25−2−25−2−252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8-8-8888−2−25−2+252+252+252+252−252−252−25−2−25−2−25−2+25−2+252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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