Finite Group Databasebeta

← Group #14424256

Character table — Group #14424256

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size11112222222222222222222222222244444444444444444444444444444444448888888888888888888888888888888888881212121212121212121212121212121212121212242424242424242424244040404040404040404040406060606060606060
order1222223444455666101010101010101010101010101022226612121212151520202020202020203030303030303030303030303030666610101010101010103030303030303030303030303030303060606060606060608888404040404040404040404040404040402210101010101010104488121212122424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ7111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111111-1-111-1-1
χ91111-1-11-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11-11-111-1-111-1-1111-1-1-11-1
χ101111-1-11-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-11-11-1-111-1-111-1-1-1111-11
χ111111-1-11-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-111111-11-111-1-111-1-1-1-1-1111-11
χ121111-1-11-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-11-11-1-111-1-111111-1-1-11-1
χ131111-1-11-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1111-1-1-1-11111-11-1-1-11
χ141111-1-11-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-111-1-1-11111-1-1-1-11-1111-1
χ151111-1-11-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-11-1-1111-1-1-1-111-1-11-1111-1
χ161111-1-11-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-111-1-1-11111-1-111-11-1-1-11
χ1722222222222−1−52−1+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+522222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ1822222222222−1−52−1+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+522222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-2-21+521+521−521−521+521+521−521−5200000000000000000000
χ1922222222222−1−52−1+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+52-2-2-2-2222222−1−52−1+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+52-2-2-2-21+521+521−521−521+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+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000000000000000
χ2022222222222−1−52−1+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+52-2-2-2-2222222−1−52−1+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+52-2-2-2-21+521+521−521−521+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+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2122222222222−1+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+52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ2222222222222−1+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+52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+5200000000000000000000
χ2322222222222−1+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+52−1−52-2-2-2-2222222−1+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+52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000000000000000
χ2422222222222−1+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+52−1−52-2-2-2-2222222−1+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+52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ252222222-2-2-2-22222222222222222222000022-2-2-2-222-2-2-2-2-2-2-2-2222222222222220000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-200-22
χ262222222-2-2-2-22222222222222222222000022-2-2-2-222-2-2-2-2-2-2-2-2222222222222220000000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22002-2
χ27222222-1222222-1-1-1222222222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ28222222-1222222-1-1-1222222222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000-2-2-2-21111111100000000
χ29222222-1222222-1-1-122222222222222-2-2-2-2-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000000000000000000000000022-2-2-1-1-1-1111100000000
χ30222222-1222222-1-1-122222222222222-2-2-2-2-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000-2-2221111-1-1-1-100000000
χ312222-2-2222-2-2222222222-2-2-2-2-2-2-2-2220000-2-2-222-222-2-22222-2-22222-2-2-2-2-2-2-2-2220000000000000000000000000000-2-2-2-22222000000000000000000000000000000000000000000002200-2-2
χ322222-2-2222-2-2222222222-2-2-2-2-2-2-2-2220000-2-2-222-222-2-22222-2-22222-2-2-2-2-2-2-2-2220000000000000000000000000000-2-2-2-2222200000000000000000000000000000000000000000000-2-20022
χ332222-2-22-2-222−1−52−1+52222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2-2-22-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ342222-2-22-2-222−1−52−1+52222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2-2-22-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ352222-2-22-2-222−1−52−1+52222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-222-2-22-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-2221+521+521−521−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
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χ1214-4-444-4-24-44-4−1−5−1+5-2221+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+54-44-4-22-2-2221+521−521+51−5−1−51+5−1+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521−52-22-22−1−51+5−1+51−5−1−51+5−1+51−51+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+52−1−521−52−1+521+52−1−521−52−1+5200000000000000000000000000000000000000000000000000
χ1224-4-444-4-24-44-4−1−5−1+5-2221+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+5-44-44-22-2-2221+521−521+51−5−1−51+5−1+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521−522-22-21+5−1−51−5−1+51+5−1−51−5−1+5−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−521+52−1−521−52−1+521+52−1−521−52−1+5200000000000000000000000000000000000000000000000000
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χ1254-4-444-4-2-44-4444-222-4-4-4-444-4-444-4-4440000-2222-2-2-2-244-44-44-4-42222-2-222-2-222-2-200000000000000000000000000002-22-22-22-200000000000000000000000000000000000000000000000000
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χ1488-88-800-40000−2−25−2+2544-42+25−2−252−25−2+254ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ92−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ92−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1162+252−2500000000001+51−500000000−1−51+5−1+51−5−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-88-800-40000−2+25−2−2544-42−25−2+252+25−2−254ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ116−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ1164ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ92−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ922−252+2500000000001−51+500000000−1+51−5−1−51+5−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-88-800-40000−2+25−2−2544-42−25−2+252+25−2−25−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ924ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ922−252+2500000000001−51+500000000−1+51−5−1−51+52ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1).