Are normal subgroups ever important to Life?

For general discussion about Conway's Game of Life.
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Dannyu NDos
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Joined: January 6th, 2019, 3:27 am

Are normal subgroups ever important to Life?

Post by Dannyu NDos » February 27th, 2020, 5:53 pm

Assuming finite patterns, the hierarchy of normal subgroups of spatial symmetries is:
  • Every symmetry to itself
  • Every symmetry to C1
  • Every symmetry to index-2 sub-symmetry
  • D8_1 to C2_1
  • D8_4 to C2_4
Does this have any significance?
The former account 'David' is lost and unused. My real name is "Park Shinhwan".

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