Finite Group Databasebeta

← Group #14453742

Character table — Group #14453742

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222444444444444444444444444444444444444888888888888888888888888888888888888881212121220202424242424242424242424242424242424243030404040404040406060608080120120
order1222344556661010101010102444661010101012121515202020202020202030303030303030303030303030304121212121220202020202020206060606060606060606060606060606060606060606060602288884810101010202020204040404040404040222482424242444461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111
χ511111111111111111111-1-111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111
χ611111111111111111111-1-111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1
χ711111111111111111111-1-111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1
χ811111111111111111111-1-111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111
χ9111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-111-1-11
χ10111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-111-1
χ11111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-111-11-11-1
χ12111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-111-1-111-1-11-11-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-111111-1-1-1-1-1-1-1-11111-1-1-11-111-1-111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-11-1-111-1-111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-1-111111111-1-1-1-111-11-111-1-1-1-11-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-1-1-1-1-111111111-1-1-1-1-1-11-11-1-11111-11-1-11
χ172222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222220022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ182222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-200-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ192222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-222−1−52−1−52−1+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+52−1+52−1+52−1−52−1+52-22-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2002-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ202222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-222−1−52−1−52−1+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+52−1+52−1+52−1−52−1+52-22-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-22200-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ212222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-21+521+521−521−5222−1−52−1+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+52-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+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+521−521−521−521−52222200-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-21+521+521−521−5222−1−52−1+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+52-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+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+521−521−521−521−52-2-2-2-200221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ232222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-21+521+521−521−5222−1−52−1+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+522-2-2-2221+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-200-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ242222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-21+521+521−521−5222−1−52−1+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+522-2-2-2221+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222002-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ252222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222220022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ262222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-200-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ272222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-222−1+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+52−1−52−1−52−1−52−1−52−1+52−1−52-22-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2002-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ282222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-222−1+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+52−1−52−1−52−1−52−1−52−1+52−1−52-22-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-22200-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ292222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-21−521−521+521+5222−1+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+52−1−52-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+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+52222200-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ302222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-21−521−521+521+5222−1+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+52−1−52-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+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+52-2-2-2-200221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ312222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-21−521−521+521+5222−1+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+52−1−522-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-200-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ322222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-21−521−521+521+5222−1+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+52−1−522-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222002-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ3322222-2-2222222222222-200222222-2-222-2-2-2-2-2-2-2-2222222222222220-2000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002200000002-2-20000
χ3422222-2-2222222222222-200222222-2-222-2-2-2-2-2-2-2-2222222222222220-2000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-20000000-2220000
χ3522222-2-222222222222-2200-2-2-2-2-2-2-2-222-2-22222-2-22222-2-2-2-2-2-2-2-22202000000000000-2-2-2-222220000000000000000000000000000000000000000220000000-22-20000
χ3622222-2-222222222222-2200-2-2-2-2-2-2-2-222-2-22222-2-22222-2-2-2-2-2-2-2-22202000000000000-2-2-2-222220000000000000000000000000000000000000000-2-200000002-220000
χ372222-12222-1-1-12222222222-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200000000000000000000222-1-1-1-1000-1-100
χ382222-12222-1-1-12222222222-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200000000000000000000-2-2-211110001100
χ392222-12222-1-1-122222222-2-2-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100002200000000000000000000-2-22-1-1-1-10001100
χ402222-12222-1-1-122222222-2-2-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000-2-20000000000000000000022-21111000-1-100
χ412222-12222-1-1-1222222-2-22211-2-2-2-2-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-21-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111000022000000000000000000002-2-2-1-111000-1100
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χ1288-88-8800−2+25−2−25-8-882−25−2+252+25−2−252−252+25000000000000−2+25−2−25000000002−25−2+252+25−2−25000000002−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-8-400−2−25−2+2544-42+25−2−252−25−2+252+252−250000−4i34i30000001+51−500000000−1−51+5−1+51−52ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8-400−2−25−2+2544-42+25−2−252−25−2+252+252−2500004i3−4i30000001+51−500000000−1−51+5−1+51−5−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+250000−4i34i30000001−51+500000000−1+51−5−1−51+52ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+2500004i3−4i30000001−51+500000000−1+51−5−1−51+5−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000

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