Finite Group Databasebeta

← Group #14439908

Character table — Group #14439908

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222224444444444444488888888882020202040402222444444444488888888888888161616161616161616164040404080803333666666666612121212121212121212121212122424242424242424242460606060120120
order1222445510101010101044202020202020202020202020442020202020202020888844366612121515303030303030121260606060606060606060606012126060606060606060242424241212222244101010101010101044202020202020202020202020442020202020202020888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-111111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-111111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-1
χ611111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1111111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1111111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-11
χ711111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-11
χ811111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-1
χ9222222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000222222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000222222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000
χ10222222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000222222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000222222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000
χ11222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+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+52000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+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+52000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+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+52000000
χ12222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000
χ13222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000
χ14222222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52000000222222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52000000222222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52000000
χ15222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000
χ16222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000
χ172222-2-2222222222-2-2-2-2-22222-2-2-2-200000000000000002222-2-2222222222-2-2-2-2-22222-2-2-2-200000000000000002222-2-2222222222-2-2-2-2-22222-2-2-2-20000000000000000
χ182222-2-222222222-22-2-2-2-2-2-2-2-2222200000000000000002222-2-222222222-22-2-2-2-2-2-2-2-2222200000000000000002222-2-222222222-22-2-2-2-2-2-2-2-222220000000000000000
χ192222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000002222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000002222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000000
χ202222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000002222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000002222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000000
χ212222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000002222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ30000002222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000000
χ222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000002222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ30000002222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000000
χ232222-2-2−1−52−1+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+521+521+521−521−5200ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000002222-2-2−1−52−1+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+521+521+521−521−5200ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000002222-2-2−1−52−1+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+521+521+521−521−5200ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000000
χ242222-2-2−1−52−1+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+521+521+521−521−5200−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000002222-2-2−1−52−1+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+521+521+521−521−5200−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000002222-2-2−1−52−1+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+521+521+521−521−5200−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000000
χ252222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000002222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ40000002222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000000
χ262222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000002222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ40000002222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000000
χ2722-2-22-2222-22-2-2-2002-22-2000000000000000000002-20022-2-22-2222-22-2-2-2002-22-2000000000000000000002-20022-2-22-2222-22-2-2-2002-22-2000000000000000000002-200
χ2822-2-22-2222-22-2-2-2002-22-200000000000000000000-220022-2-22-2222-22-2-2-2002-22-200000000000000000000-220022-2-22-2222-22-2-2-2002-22-200000000000000000000-2200
χ2922-2-2-22222-22-2-2-200-22-220000000000000000002-2000022-2-2-22222-22-2-2-200-22-220000000000000000002-2000022-2-2-22222-22-2-2-200-22-220000000000000000002-20000
χ3022-2-2-22222-22-2-2-200-22-22000000000000000000-22000022-2-2-22222-22-2-2-200-22-22000000000000000000-22000022-2-2-22222-22-2-2-200-22-22000000000000000000-220000
χ3144-4-44-4−1+5−1−5−1+51−5−1−51+51−51+500−1+51−5−1−51+500000000000000000000000044-4-44-4−1+5−1−5−1+51−5−1−51+51−51+500−1+51−5−1−51+500000000000000000000000044-4-44-4−1+5−1−5−1+51−5−1−51+51−51+500−1+51−5−1−51+5000000000000000000000000
χ3244-4-44-4−1−5−1+5−1−51+5−1+51−51+51−500−1−51+5−1+51−500000000000000000000000044-4-44-4−1−5−1+5−1−51+5−1+51−51+51−500−1−51+5−1+51−500000000000000000000000044-4-44-4−1−5−1+5−1−51+5−1+51−51+51−500−1−51+5−1+51−5000000000000000000000000
χ3344-4-4-44−1+5−1−5−1+51−5−1−51+51−51+5001−5−1+51+5−1−500000000000000000000000044-4-4-44−1+5−1−5−1+51−5−1−51+51−51+5001−5−1+51+5−1−500000000000000000000000044-4-4-44−1+5−1−5−1+51−5−1−51+51−51+5001−5−1+51+5−1−5000000000000000000000000
χ3444-4-4-44−1−5−1+5−1−51+5−1+51−51+51−5001+5−1−51−5−1+500000000000000000000000044-4-4-44−1−5−1+5−1−51+5−1+51−51+51−5001+5−1−51−5−1+500000000000000000000000044-4-4-44−1−5−1+5−1−51+5−1+51−51+51−5001+5−1−51−5−1+5000000000000000000000000
χ354-44-40044-44-44-4-40000000000000000000000000000004-44-40044-44-44-4-40000000000000000000000000000004-44-40044-44-44-4-4000000000000000000000000000000
χ364-44-400−1+5−1−51−5−1+51+5−1−51−51+50000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3000000000000000000004-44-400−1+5−1−51−5−1+51+5−1−51−51+50000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3000000000000000000004-44-400−1+5−1−51−5−1+51+5−1−51−51+50000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300000000000000000000
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χ1298-8-8800−2+25−2−252−252−252+252+25−2+25−2−2500000000004ζ−4ζ4−4ζ+4ζ44ζ2−4ζ3−4ζ2+4ζ30000000000000000-444-4001−51+5−1+5−1+5−1−5−1−51−51+50000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3000000000000000000000000000000000000000000000000000000000000
χ1308-8-8800−2+25−2−252−252−252+252+25−2+25−2−250000000000−4ζ+4ζ44ζ−4ζ4−4ζ2+4ζ34ζ2−4ζ30000000000000000-444-4001−51+5−1+5−1+5−1−5−1−51−51+500000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3000000000000000000000000000000000000000000000000000000000000
χ1318-8-8800−2−25−2+252+252+252−252−25−2−25−2+2500000000004ζ2−4ζ3−4ζ2+4ζ3−4ζ+4ζ44ζ−4ζ40000000000000000-444-4001+51−5−1−5−1−5−1+5−1+51+51−50000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4000000000000000000000000000000000000000000000000000000000000
χ1328-8-8800−2−25−2+252+252+252−252−25−2−25−2+250000000000−4ζ2+4ζ34ζ2−4ζ34ζ−4ζ4−4ζ+4ζ40000000000000000-444-4001+51−5−1−5−1−5−1+5−1+51+51−500000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).