# Category:Klein Four-Group

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This category contains results about the Klein $4$-group.

The **Klein $4$-group**, often denoted $K_4$, is a group of $4$ elements, each of which is self-inverse.

### Cayley Table

The Cayley table for $K_4$ is as follows:

- $\begin{array}{c|cccc} & e & a & b & c \\ \hline e & e & a & b & c \\ a & a & e & c & b \\ b & b & c & e & a \\ c & c & b & a & e \\ \end{array}$

## Subcategories

This category has the following 5 subcategories, out of 5 total.

## Pages in category "Klein Four-Group"

The following 16 pages are in this category, out of 16 total.

### G

- Group Direct Product/Examples/C2 x C2
- Group Direct Product/Examples/C2 x C2/Subgroups
- Group Generated by Reciprocal of z and Minus z
- Group Generated by Reciprocal of z and Minus z is Klein Four-Group
- Group Isomorphism/Examples/Quotient Group of Z by 3Z with Quotient Group of A4 by K4
- Group of Reflection Matrices Order 4
- Group of Reflection Matrices Order 4 is Klein Four-Group