![I've worked out what the Cayley tables are and have therefore said that identity 1 from G is mapped to identity [0] in H and -i is mapped to [3] but 'm I've worked out what the Cayley tables are and have therefore said that identity 1 from G is mapped to identity [0] in H and -i is mapped to [3] but 'm](https://preview.redd.it/fv7fc6xqfds91.png?width=404&format=png&auto=webp&s=3a350c8b13e79dc766d93db970487f8b6af8f109)
I've worked out what the Cayley tables are and have therefore said that identity 1 from G is mapped to identity [0] in H and -i is mapped to [3] but 'm
![File:Dihedral group of order 8; Cayley table (element orders 1,2,2,4,4,2,2,2); subgroup of S4 (left).svg - Wikimedia Commons File:Dihedral group of order 8; Cayley table (element orders 1,2,2,4,4,2,2,2); subgroup of S4 (left).svg - Wikimedia Commons](https://upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Dihedral_group_of_order_8%3B_Cayley_table_%28element_orders_1%2C2%2C2%2C4%2C4%2C2%2C2%2C2%29%3B_subgroup_of_S4_%28left%29.svg/1200px-Dihedral_group_of_order_8%3B_Cayley_table_%28element_orders_1%2C2%2C2%2C4%2C4%2C2%2C2%2C2%29%3B_subgroup_of_S4_%28left%29.svg.png)
File:Dihedral group of order 8; Cayley table (element orders 1,2,2,4,4,2,2,2); subgroup of S4 (left).svg - Wikimedia Commons
![Write out the Cayley table for the group (\mathbb{Z}_6,+6) and identify the inverse of each element. | Homework.Study.com Write out the Cayley table for the group (\mathbb{Z}_6,+6) and identify the inverse of each element. | Homework.Study.com](https://homework.study.com/cimages/multimages/16/cayley_table181805053537854155.png)
Write out the Cayley table for the group (\mathbb{Z}_6,+6) and identify the inverse of each element. | Homework.Study.com
![Table 4 from On the structure and zero divisors of the Cayley-Dickson sedenion algebra | Semantic Scholar Table 4 from On the structure and zero divisors of the Cayley-Dickson sedenion algebra | Semantic Scholar](https://d3i71xaburhd42.cloudfront.net/88fa65ac678d3ad8a2636b69571391328e96aed0/10-Table4-1.png)
Table 4 from On the structure and zero divisors of the Cayley-Dickson sedenion algebra | Semantic Scholar
![group theory - A general strategy to find isomorphisms using Cayley tables - Mathematics Stack Exchange group theory - A general strategy to find isomorphisms using Cayley tables - Mathematics Stack Exchange](https://i.stack.imgur.com/VBmnB.png)