| 1. | Each single element occurs 253 times somewhere in some octad.
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| 2. | M _ { 24 } is transitive on octads and on dodecads.
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| 3. | PSL ( 2, 7 ) permutes the octads internally, in parallel.
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| 4. | That accounts for all but 210 of the octads.
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| 5. | Not every hexad, heptad or octad occurs.
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| 6. | This is a partition into 3 octad sets.
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| 7. | An octad is determined by choice of a fifth point from the remaining 20.
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| 8. | S 3 permutes the 3 octads bodily.
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| 9. | Those remaining octads are subsets of W 21 and are symmetric differences of pairs of lines.
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| 10. | The usage of the old term " octad ( e ) " for 8 bits is no longer common today.
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