Character table of a semidirect product

asked 2023-04-10 10:57:48 +0100

Diego99 gravatar image

I am trying to find the character table of a semidirect product of two group with Sage. If I try the following I get an error.

K = SL(2,5)
H = CyclicPermutationGroup(2)
G = GroupSemidirectProduct(K,H)
N = G.character_table()

I guess that this is because semidirect product do not have a built-in method for computing character tables. Is there any other way of computing this?

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Comments

If you can figure out the syntax, you could try G = libgap.SemidirectProduct(K,H). Some documentation is at https://docs.gap-system.org/doc/ref/c....

John Palmieri gravatar imageJohn Palmieri ( 2023-04-10 23:35:25 +0100 )edit