Finite Group Databasebeta

← Group #12073651

Character table — Group #12073651

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222222222444444444444444444444444488888888888888888888888888881616161616161616161616161616161616162020202040404040404080808080
order1222224455101010101010444441010101020202020202020202020202020202020244444442020202020202020202020202020202020202020881010202020202020404040404040404044442444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-111-1-1
χ611111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-111
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11-11-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-1111-1-1
χ9111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1-11-111-11-11-1
χ10111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1111-11-1-11-11-11
χ11111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-1111111-1-1-11-111-1-11-11
χ12111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-1111-11-1-111-11-1
χ13111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11-1-1-1111-1-11
χ14111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111-1111-1-1-111-1
χ15111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-111-1-11-1-1-111-111-1
χ16111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-111-1111-1-11-1-11
χ1722222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2220000000000000000000000000000000000222200-20-200000
χ1822222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2220000000000000000000000000000000000-2-2-2-20020200000
χ1922222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ2122222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ2222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2322222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ2422222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ2522222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ2622222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ27222222-2-222222222-222-2-22222-2-2-2-222222222-2-2-2-200000000-2-2-2-2000000000000000000000000000000000022-2-20020-200000
χ28222222-2-222222222-222-2-22222-2-2-2-222222222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000-2-22200-20200000
χ29222222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2-2222-2-2−1+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+522-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ30222222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2-22-2-222−1+52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ31222222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-222-222-2-2−1+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+52-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ32222222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-222-2-2-222−1+52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ33222222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2-2222-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ34222222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2-22-2-222−1−52−1+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+52-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ35222222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-222-222-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ36222222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-222-2-2-222−1−52−1+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+522-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ372222-2-22222222222-22-22-2-2-2-2-2222222-2-222-2-2222200000000-2-2-2-200000000000000000000000000000000000000220-20-20000
χ382222-2-22222222222-22-22-2-2-2-2-2222222-2-222-2-2222200000000-2-2-2-200000000000000000000000000000000000000-2-202020000
χ392222-2-22222222222-2-22-22-2-2-2-22222-2-222-2-222-2-2-2-222-2-2000022-2-200000000000000000022-2-22-22-20000000000000000000000
χ402222-2-22222222222-2-22-22-2-2-2-22222-2-222-2-222-2-2-2-2-2-222000022-2-2000000000000000000-2-222-22-220000000000000000000000
χ412222-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-221−521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5222-2-20000−1+52−1−521−521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700−1+52−1−521−521+52−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000
χ422222-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-221−521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+5222-2-20000−1+52−1−521−521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−1+52−1−521−521+52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000
χ432222-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-221−521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+52-2-2220000−1+52−1−521−521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7001−521+52−1+52−1−521−52−1+521+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000
χ442222-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-221−521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+52-2-2220000−1+52−1−521−521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7001−521+52−1+52−1−521−52−1+521+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000
χ452222-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-221+521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−5222-2-20000−1−52−1+521+521−52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900−1−52−1+521+521−52−1−521+52−1+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000
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χ472222-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-221+521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−52-2-2220000−1−52−1+521+521−52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19001+521−52−1−52−1+521+52−1−521−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000
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χ894-4-444-40044-44-4-44-40000044-4-4000000000000000000000000000000000000000000000000000000000000004i−4i000000000000
χ904-4-444-40044-44-4-44-40000044-4-400000000000000000000000000000000000000000000000000000000000000−4i4i000000000000
χ914-4-44-440044-44-4-44-400000-4-44400000000000000000000000000000000000000000000000000000000000000004-40000000000
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χ1008-8-88-8800−2+25−2−252−25−2+252−252+25−2−252+25000002−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-8800−2−25−2+252+25−2−252+252−25−2+252−25000002+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000

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