Finite Group Databasebeta

← Group #14454131

Character table — Group #14454131

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444444444444488888888888888888888888888888888888888888202020202424242430304040404040404040404048484848484848486060606060120
order1222344556661010101010104488121212121212151520202020303030303030606060606060606082020202024242424404040404040404060606060606060601201201201201201201201201201201201201201201201202222244444446666121212121010202020202020224888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-111-1-111-1-11111-1-1-1-1111-1-1-1
χ611111111111111111111-1-111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-1-111-1-1-1-1-1-11111-1-1-1111
χ711111111111111111111-1-111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1111
χ811111111111111111111-1-111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-111-1-1-1-11111111-1-1-1
χ9111111111111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-11111-1-1-1-111-1-111-1-11-11-1-11
χ10111111111111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1111-1-11111-1-1-1-1-1-111-1-111-11-111-1
χ11111111111111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1111111-1-111-1-1-11-111-1
χ12111111111111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-111-1-1111-11-1-11
χ13111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-1-1-1111-1-1-1-11111-1-1-1-1111-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-111-1111-1-1-1-111-1-11111-1-1-11-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-11111-1-1-11111-1-111-1-1-1-111-11-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-1-1-11-1-1-11111-1-1-1-11111-1-11-1111-1
χ172222222−1−52−1+52222−1−52−1−52−1+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+522−1−52−1−52−1+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+5200002222000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000
χ182222222−1−52−1+52222−1−52−1−52−1+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+522−1−52−1−52−1+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+520000-2-2-2-20000000000001+521−521+521−521+521−521+521−52000000
χ192222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2222222−1−52−1+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+52-2−1−52−1−52−1+52−1+52-2-2-2-21+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+521−521−521−521−52000022-2-2000000000000−1−52−1+52−1−52−1+521+521−521+521−52000000
χ202222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2222222−1−52−1+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+52-2−1−52−1−52−1+52−1+52-2-2-2-21+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+521−521−521−521−520000-2-2220000000000001+521−521+521−52−1−52−1+52−1−52−1+52000000
χ212222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−5222-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−5200002-22-2000000000000−1−52−1+521+521−52−1−52−1+521+521−52000000
χ222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−5222-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−520000-22-220000000000001+521−52−1−52−1+521+521−52−1−52−1+52000000
χ232222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+521+521−521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-2-22000000000000−1−52−1+521+521−521+521−52−1−52−1+52000000
χ242222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+521+521−521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-222-20000000000001+521−52−1−52−1+52−1−52−1+521+521−52000000
χ252222222−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−522−1+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+52−1−52−1−52−1−52−1−5200002222000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000
χ262222222−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−522−1+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+52−1−52−1−52−1−52−1−520000-2-2-2-20000000000001−521+521−521+521−521+521−521+52000000
χ272222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2222222−1+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+52−1−52−1−52−1−52−1−52-2−1+52−1+52−1−52−1−52-2-2-2-21−521−521+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+52000022-2-2000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000
χ282222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2222222−1+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+52−1−52−1−52−1−52−1−52-2−1+52−1+52−1−52−1−52-2-2-2-21−521−521+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+520000-2-2220000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000
χ292222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+5222-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200002-22-2000000000000−1+52−1−521−521+52−1+52−1−521−521+52000000
χ302222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+5222-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000-22-220000000000001−521+52−1+52−1−521−521+52−1+52−1−52000000
χ312222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−521−521+521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-2-22000000000000−1+52−1−521−521+521−521+52−1+52−1−52000000
χ322222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−521−521+521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-222-20000000000001−521+52−1+52−1−52−1+52−1−521−521+52000000
χ3322222-2-2222222222222-20022-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-202-22-200000000000022-2-222-2-2000000000000000000000000220000000000000000002-2-2000
χ3422222-2-2222222222222-20022-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-202-22-200000000000022-2-222-2-2000000000000000000000000-2-2000000000000000000-222000
χ3522222-2-222222222222-2200-2-222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-20-22-22000000000000-2-222-2-22200000000000000000000000022000000000000000000-2-22000
χ3622222-2-222222222222-2200-2-222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-20-22-22000000000000-2-222-2-222000000000000000000000000-2-200000000000000000022-2000
χ372222-12222-1-1-12222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000022-1-1-1-1-1-1-1-100000000000000
χ382222-12222-1-1-12222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-21111111100000000000000
χ392222-12222-1-1-122222222-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-20000002-2-1-111-1-11100000000000000
χ402222-12222-1-1-122222222-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222000000-2211-1-111-1-100000000000000
χ412222-12222-1-1-1222222-2-2221111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-1-1112222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222000000-2-2-1-1-1-1111100000000000000
χ422222-12222-1-1-1222222-2-2221111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-1-1112222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2000000221111-1-1-1-100000000000000
χ432222-12222-1-1-1222222-2-2-2-21111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-211-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2000000-22-1-11111-1-100000000000000
χ442222-12222-1-1-1222222-2-2-2-21111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-211-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2220000002-211-1-1-1-11100000000000000
χ452-2-222-22222-2-2-2-2-2-222002-200002-2222-22-22-2-22-2-222-2-222-2-2000002-2002-22-200000000000022-2-222-2-2000000002-22-2000000002-22-2000000000000000000
χ462-2-222-22222-2-2-2-2-2-222002-200002-2222-22-22-2-22-2-222-2-222-2-2000002-2002-22-200000000000022-2-222-2-200000000-22-2200000000-22-22000000000000000000
χ472-2-222-22222-2-2-2-2-2-22200-2200002-2222-22-22-2-22-2-222-2-222-2-200000-2200-22-22000000000000-2-222-2-222000000002-2-22000000002-2-22000000000000000000
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χ1208-88-8-400−2−25−2+2544-42+25−2−252−25−2+252+252−2500000000001+51−50000−1−5−1−51+5−1+5−1+51−52ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-400−2−25−2+2544-42+25−2−252−25−2+252+252−2500000000001+51−50000−1−5−1−51+5−1+5−1+51−5−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+2500000000001−51+50000−1+5−1+51−5−1−5−1−51+5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+2500000000001−51+50000−1+5−1+51−5−1−5−1−51+52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000

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