Finite Group Databasebeta

← Group #14425218

Character table — Group #14425218

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size112222222222222334444444444444444444444444446666666666688888888888888888888888881212121212121212121212121212121216161616161616161620202020242424242424242424404040404040606060608080120120
order1223445561010202020204424446101012121515202020202020202020203030606060602241010101020202020681010121212202030304040404060606060606060606060244410102020202020202020202024303060601201201201202444810102020404040404681212122224122428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-11-11111111-1-1-1-1
χ41111111111111111111-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-11111
χ511111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-111-1-111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11-11-11
χ611111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-111-1-111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111-111-11-11-1
χ711111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11-1-1-1-1111111-11-1-11-1-111-11-1
χ811111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-1-1-1-11111-1-11-111-111-1-11-11
χ9111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ10111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ11111111111111111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11111-1-1-1-111111-1-1-1-11111-11-1111-1-1-1-1-1-111
χ12111111111111111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11111-1-1-1-1-1-1-1-11-1-1-1-111111-11-1-1-1111111-1-1
χ13111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1111-1-1-111-1-111-1
χ14111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111-1-111-1-11
χ15111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1111111-1-1-11111-1-1-1-111-11-1-1-111-11-1-11
χ16111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-111-11111-1-1-1-1-1-11-1111-1-11-111-1
χ17222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522222222−1+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+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000
χ18222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522222-2-22−1+52−1−5222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−522-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2−1+52−1−52−1+52−1−521−521−521+521+520000-2−1+52−1−52−1+52−1−521−521−521+521+5200000000000000
χ19222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222-2-2222−1+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+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+52-2221−521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521−521+521+520000-21−521+521−521+521−521−521+521+5200000000000000
χ20222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-22−1+52−1−5222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-221−521+52-2-2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5221−521+521−521+52−1+52−1+52−1−52−1−52000021−521+521−521+52−1+52−1+52−1−52−1−5200000000000000
χ21222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-222222−1+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+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+5222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521+521−521+521−521−521−521−521+521+521+521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-21−521+521−521+521−521−521+521+5200000000000000
χ22222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-22−1+52−1−5222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+522-2−1+52−1−522-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-2-2221−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+52000021−521+521−521+52−1+52−1+52−1−52−1−5200000000000000
χ23222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222−1+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+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+52-2-21−521+52-2221−521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-21−521+521−521+521−521−521−521−521+521+521+521+52-21−521+521−521+521−521−521+521+5200002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000
χ24222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-22−1+52−1−5222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+52-221−521+52-2-2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222221−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−521+521−521+52−1+52−1+52−1−52−1−520000-2−1+52−1−52−1+52−1−521−521−521+521+5200000000000000
χ25222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+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+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000
χ26222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522222-2-22−1−52−1+5222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+522-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+52−1−52−1+521+521+521−521−520000-2−1−52−1+52−1−52−1+521+521+521−521−5200000000000000
χ27222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222-2-2222−1−52−1+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+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−52-2221+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+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521−521+521+521−521−520000-21+521−521+521−521+521+521−521−5200000000000000
χ28222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-22−1−52−1+5222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-221+521−52-2-2-21+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5221+521−521+521−52−1−52−1−52−1+52−1+52000021+521−521+521−52−1−52−1−52−1+52−1+5200000000000000
χ29222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-222222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−5222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521−521+521−521+521+521+521+521−521−521−521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-21+521−521+521−521+521+521−521−5200000000000000
χ30222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-22−1−52−1+5222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−522-2−1−52−1+522-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-2-2221+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−52000021+521−521+521−52−1−52−1−52−1+52−1+5200000000000000
χ31222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−52-2-21+521−52-2221+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+5222-2-21+521−521+521−521+521+521+521+521−521−521−521−52-21+521−521+521−521+521+521−521−5200002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000
χ32222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-22−1−52−1+5222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−52-221+521−52-2-2-21+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222221+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+521−521+521−52−1−52−1−52−1+52−1+520000-2−1−52−1+52−1−52−1+521+521+521−521−5200000000000000
χ332222-2-222222-2-2-2-2220000222-2-222-2-20000000022-2-2-2-2-2-22-2-2-2-22222000000000220000-2-2000000000000-2-22200000000000000000002-200000000000002-202-200000
χ342222-2-222222-2-2-2-2220000222-2-222-2-20000000022-2-2-2-2-2-22-2-2-2-22222000000000220000-2-2000000000000-2-2220000000000000000000-220000000000000-220-2200000
χ352222-2-222222-2-2-2-2-2-20000222-2-222-2-20000000022-2-2-2-222-22222-2-2-2-2000000000220000-2-200000000000022-2-200000000000000000002-200000000000002-20-2200000
χ362222-2-222222-2-2-2-2-2-20000222-2-222-2-20000000022-2-2-2-222-22222-2-2-2-2000000000220000-2-200000000000022-2-20000000000000000000-220000000000000-2202-200000
χ37222-12222-1222222002222-122-1-1-1-12222222222-1-1-1-1-1-100000000000-1222-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-122220000000002-12-1-1-10000-1-100
χ38222-12222-1222222002222-122-1-1-1-12222222222-1-1-1-1-1-100000000000-1222-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-2-2-2-2000000000-21-211100001100
χ39222-12222-12222220022-2-2-122-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000-1-222-11122-1-1-2-2-2-2-1-11111111100000000000000001-1-1-1-111112222000000000-2-1-2-1-1-100001100
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χ1328-80-400−2−25−2+2542+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ190000-44000001+51−5002ζ2+2ζ3−2ζ7+2ζ18−2ζ2−2ζ3+2ζ7−2ζ182ζ2−2ζ3+2ζ7+2ζ18−2ζ2+2ζ3−2ζ7−2ζ182ζ6+2ζ11+2ζ14−2ζ19−2ζ6−2ζ11−2ζ14+2ζ192ζ6−2ζ11+2ζ14+2ζ19−2ζ6+2ζ11−2ζ14−2ζ19−1−5−1+52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000002-20000000000−ζ2−ζ3+ζ7−ζ18ζ2+ζ3−ζ7+ζ18−ζ2+ζ3−ζ7−ζ18ζ2−ζ3+ζ7+ζ18−ζ6−ζ11−ζ14+ζ19ζ6+ζ11+ζ14−ζ19−ζ6+ζ11−ζ14−ζ19ζ6−ζ11+ζ14+ζ190000000000000000000000000000000000000000000000000000

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