Finite Group Databasebeta

← Group #14453154

Character table — Group #14453154

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888888888121220202020242424242424242424242440404040404040404040484848486060120120120
order1222344556661010101010104412121212121215152020202020202020303030303030606060606060606044121212122020202020202020202060606060606060606060606060606060606060606060606088244424840404040404040402466612121212121010202088448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111-1-11-1-1111-1-1-1-1-1-111-1-11
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-111-1-1-111-1-1-1-1-1-111-1
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-111111111-1-11
χ9111111111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1-111-1-1-11-11111-1-1111-1-1
χ10111111111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-11111-1-1-1-11-1-1111-11-1-111-1-1-1-1-111
χ11111111111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-111-1-1-11-111-1-111-1-1-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111-1-1111-11-1-1-1-111111-1-1
χ13111111111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-11111-1-1-1-11-1111-11-1-1-1-1-11111-11-1
χ14111111111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-11111-1-1-1-1-11-1-1-11-1111-1-111-1-11-11
χ15111111111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-11-1-1-1-111111-1111-11-1-1-111-1-1-1-11-11
χ16111111111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-1-1-1-11111-11-1-1-11-111111-1-111-11-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1+52−1+52220000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+52−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1+52−1+52-2-20000-2-2-21+521+521−521−521+521+521−521−5200000000001+521−521+521−5200000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52220000-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000001+521−521+521−5200000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2000022-21+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+5200000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-222-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522200002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000000−1−52−1+521+521−5200000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-222-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-20000-2221+521+521−521−52−1−52−1−52−1+52−1+5200000000001+521−52−1−52−1+5200000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-2221+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52220000-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000001+521−52−1−52−1+5200000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-2221+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200002-221+521+521−521−52−1−52−1−52−1+52−1+520000000000−1−52−1+521+521−5200000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52220000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−5200000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-20000-2-2-21−521−521+521+521−521−521+521+5200000000001−521+521−521+5200000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52220000-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+521−521+5200000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2000022-21−521−521+521+521−521−521+521+520000000000−1+52−1−52−1+52−1−5200000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-222-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522200002-2-2−1+52−1+52−1−52−1−521−521−521+521+520000000000−1+52−1−521−521+5200000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-222-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-20000-2221−521−521+521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−5200000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2221−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52220000-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000000001−521+52−1+52−1−5200000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2221−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200002-221−521−521+521+52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+5200000
χ3322222-2-2222222222222-2-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000002200000000-2-2-2-222220000000000000000002-2-2200000000000002002-2-200000000000
χ3422222-2-2222222222222-2-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000002200000000-2-2-2-22222000000000000000000-222-20000000000000-200-22200000000000
χ3522222-2-222222222222-2222-2-2-2-2222222-2-2-2-222222222222222000000-2-200000000-2-2-2-2-2-2-2-20000000000000000002-22-20000000000000200-2-2200000000000
χ3622222-2-222222222222-2222-2-2-2-2222222-2-2-2-222222222222222000000-2-200000000-2-2-2-2-2-2-2-2000000000000000000-22-220000000000000-20022-200000000000
χ372222-12222-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000000022-1-1-1-1-1-1-1-1000000000
χ382222-12222-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000000-2-211111111000000000
χ392222-12222-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100222200000000000-2-2-111-1-1-111000000000
χ402222-12222-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100-2-2-2-200000000000221-1-1111-1-1000000000
χ412222-12222-1-1-1222222-2-211-1-111-1-1-2-2-2-22222-1-1-1-1-1-1111111112-2-1-111-2-2-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-1-1111111110022-2-200000000000-22-1111-11-1-1000000000
χ422222-12222-1-1-1222222-2-211-1-111-1-1-2-2-2-22222-1-1-1-1-1-1111111112-2-1-111-2-2-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-1-11111111100-2-222000000000002-21-1-1-11-111000000000
χ432222-12222-1-1-1222222-2-211-1-111-1-1-2-2-2-22222-1-1-1-1-1-111111111-2211-1-1-2-22222-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-10022-2-2000000000002-2-1-1-11-1111000000000
χ442222-12222-1-1-1222222-2-211-1-111-1-1-2-2-2-22222-1-1-1-1-1-111111111-2211-1-1-2-22222-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-100-2-22200000000000-22111-11-1-1-1000000000
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χ1248-8-88-400−2−25−2+25-444−2−25−2+252+252−252+252−25000000001+51−5000000001+51−5−1−5−1−5−1+5−1+5−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ922ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ92−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ1162ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ1160000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-400−2+25−2−25-444−2+25−2−252−252+252−252+25000000001−51+5000000001−51+5−1+5−1+5−1−5−1−5−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ1162ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ1162ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ92−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ920000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-400−2+25−2−25-444−2+25−2−252−252+252−252+25000000001−51+5000000001−51+5−1+5−1+5−1−5−1−52ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ116−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ116−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ922ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ920000000000000000000000000000000000000000000000000000000000000000000000000000

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