Exceptional numbers, neither good nor bad

Question

Behold, my new comrades, a monstrous yet straightforward puzzle, appearing on the order of that group of fellows occasionally visiting PSE but hitherto unable to join their simple friends. I assure you, there is no lie here (and I am undoubtedly male, if anyone is asking).

5023296060480086775571046077562880502329604957666560001020096024482304044352000502329609074594388787200051765179004000000867755710460775628802448230409074594388787200050232960448345497600495766656000460815505920517651790040000009074594388787200060480027303091200000051765179004000000517651790040000005023296049576665600040894704732930048001459261440004435209504060480017556079202730309120000006048001020096040894704732930048001459261440001459261440006048005176517900400000090745943887872000502329606048009074594388787200050232960604800273030912000000604800950404154781481226426191177580544000000950406048001755604957666560004483454976006048007920448345497600495766656000460815505920517651790040000009074594388787200060480027303091200000079204608155059204435202448230401020096090745943887872000502329604957666560004089470473293004800443520007920808017424794512875886459904961710757005754368000000000604800145926144000495766656000460815505920443520002448230404608155059209074594388787200049576665600079204608155059207920950404154781481226426191177580544000000517651790040000005176517900400000090745943887872000502329606048007920950404154781481226426191177580544000000517651790040000005176517900400000086775571046077562880244823040145926144000145926144000792014592614400051765179004000000495766656000443520007920808017424794512875886459904961710757005754368000000000604800244823040460815505920907459438878720004957666560009074594388787200050232960604800604800

Answer 1

This is

a quotation from Nietzsche: "He who fights with monsters should be careful lest he thereby become a monster, and if thou gaze long into an abyss the abyss will also gaze into thee".

Here,

each letter is represented by (the decimal representation of) the order of one of the sporadic finite simple groups. For instance, our monstrous number begins with 50232960, the order of the third Janko group, which happens to represent the letter H. Next comes 604800, the order of the second Janko group, which happens to represent the letter E.

I haven't checked carefully but

I think the correspondence is that the smallest of the groups (M11, of order 7920) maps to A, the largest (the Monster, of order 808017424794512875886459904961710757005754368000000000) maps to Z, and the others are arranged in order of order in between.

A few remarks on the text:

"monstrous" alludes to the Monster and Baby Monster groups; "on the order of that group" alludes to the notion of order (number of elements) and of course group itself; "simple" to the fact that these are finite simple groups; perhaps "unable to join their simple friends" because these, the "sporadic" groups, are the ones that don't belong to infinite families of finite simple groups; there is "no lie" here because these are not the (continuous, very much not finite) objects called "Lie groups" after Sophus Lie. Perhaps the reason why "I am undoubtedly male" is that the usual abbreviation for one of the groups, the Held group, is "He". "Exceptional" in the title is probably either a rough equivalent for "sporadic" or a reference to the fact that some of the not-sporadic group families have "exceptional" in their names.

And on the context:

The great John Conway, who tragically died just recently in the Covid-19 pandemic, was among many other things one of the people involved in the classification of finite simple groups, and one of the authors of an important volume called the "Atlas of finite simple groups".