Finite Group Databasebeta

← Group #14472057

Character table — Group #14472057

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size111122222222222222222244444444444444444444444444666666666688888888888888888888881010121212121212121212121212121212121212121616161616161616161620202020202020202020202424242424242424303040406060608080120120
order122234455666888810101010101012121515202020202424242430303030303040404040404040404420202020202020204420202020202020206060606012012012012012012012012044444448820202020404040404040404012126060606060606060488121212122424242420202020202020204444488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1
χ9111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111111-11-1-11-11-1
χ10111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111-111-1-1-1-11111-1-1-1-11111-1-1-11-111-11-11
χ11111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111-111-1-1-11-11
χ12111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1111-11-1
χ13111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111111-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-11
χ14111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111111-1-1-1-1-11111-111-1-1-1-111111111-1-1-1-111-111-1-1-111-1
χ15111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-11-111-111-1
χ16111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111111-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-11-1-11-1-11
χ172222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002222222−1−52−1−52−1+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+5200000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ182222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-22-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000000001+521+521−521−521+521+521−521−5200000000000
χ192222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+52-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+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+52−1+52−1+5200-2-2-2-2-2-2-21+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+52000000000001+521+521−521−521+521+521−521−5200000000000
χ202222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+52-2-21+521+521+521+521−521−521−521−52-2-21+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+520022-222-2-21+521+521−521−521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−5200000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ212222222−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+521−521−521−521−5200-2-2222-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+52000000000001+521+521−521−52−1−52−1−52−1+52−1+5200000000000
χ222222222−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22−1−52−1−52−1+52−1+521+521+521−521−5200000000000−1−52−1−52−1+52−1+521+521+521−521−5200000000000
χ232222222−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+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+521−521−521−521−520022-2-2-2221+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+5200000000000−1−52−1−52−1+52−1+521+521+521−521−5200000000000
χ242222222−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-2-222221+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+521−521−52000000000001+521+521−521−52−1−52−1−52−1+52−1+5200000000000
χ252222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52002222222−1+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+52−1−52−1−5200000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ262222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-22-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000001−521−521+521+521−521−521+521+5200000000000
χ272222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+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+52−1−52−1−52−1−52−1−5200-2-2-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000001−521−521+521+521−521−521+521+5200000000000
χ282222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520022-222-2-21−521−521+521+521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+5200000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ292222222−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-2222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-21−521−521+521+52−1+52−1+52−1−52−1−52000000000001−521−521+521+52−1+52−1+52−1−52−1−5200000000000
χ302222222−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22−1+52−1+52−1−52−1−521−521−521+521+5200000000000−1+52−1+52−1−52−1−521−521−521+521+5200000000000
χ312222222−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520022-2-2-2221−521−521+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+52−1−52−1−5200000000000−1+52−1+52−1−52−1−521−521−521+521+5200000000000
χ322222222−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+52-221−521−521+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+5200-2-2-222221−521−521+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+52000000000001−521−521+521+52−1+52−1+52−1−52−1−5200000000000
χ3322222-2-2222220000222222-2-222-2-2-2-200002222220000000022222222220000000000-2-2-2-2000000002200-20000-2-2-2-2000000000000000000-20022-2-20000000000002200-2000000
χ3422222-2-2222220000222222-2-222-2-2-2-200002222220000000022222222220000000000-2-2-2-200000000-2-200-20000-2-2-2-2000000000000000000200-2-222000000000000-2-2002000000
χ3522222-2-2222220000222222-2-222-2-2-2-2000022222200000000-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002200200002222000000000000000000-20022-2-2000000000000-2-2002000000
χ3622222-2-2222220000222222-2-222-2-2-2-2000022222200000000-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-200200002222000000000000000000200-2-2220000000000002200-2000000
χ372222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222222200000000002222222222-1-1-1-1-1-1-1-1-1-1-1-1220000000000000000000-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1000000000022000-1-100
χ382222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222222200000000002222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000000000-1-1-1-1-1-1-1-1-1-1-2-2-2111111110000000000-2-20001100
χ392222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222222220000000000-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12200000000000000000001111111111222-1-1-1-1-1-1-1-10000000000-2-20001100
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χ1408-8-88-400−2+25−2−2544-4−4i24i24i2−4i22−252+252−252+25−2+25−2−25001−51+500002i2−2i2−2i22i2−1+5−1−51−51+5−1+5−1−52ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ1192ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103000000000000000000000000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ1030000000000000000000000000000000000000000000000000000000000000
χ1418-8-88-400−2+25−2−2544-44i2−4i2−4i24i22−252+252−252+25−2+25−2−25001−51+50000−2i22i22i2−2i2−1+5−1−51−51+5−1+5−1−5−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ119−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ103000000000000000000000000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ1030000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.