# Properties

 Label 1.4.6.2.1a Name $$N(G_{3,3})$$ Weight 1 Degree 4 Real dimension 6 Components 2 Contained in $$\mathrm{USp}(4)$$ Identity Component $$\mathrm{SU}(2)\times\mathrm{SU}(2)$$ Component group $$C_2$$

## Invariants

 Weight: $1$ Degree: $4$ $\mathbb{R}$-dimension: $6$ Components: $2$ Contained in: $\mathrm{USp}(4)$ Rational: $\mathrm{True}$

## Identity Component

 Name: $\mathrm{SU}(2)\times\mathrm{SU}(2)$ Index: $2$ $\mathbb{R}$-dimension: $6$ Description: $\left\{\begin{bmatrix}A&0\\0&B\end{bmatrix}: A,B\in\mathrm{SU}(2)\right\}$

## Component Group

 Name: $C_2$ Order: $2$ Abelian: $\mathrm{True}$

## Subgroups and Supergroups

 Maximal Subgroups: 1.4.6.1a Minimal Supergroups:

## Moment Statistics

$x$ $\mathrm{E}[x^{0}]$ $\mathrm{E}[x^{1}]$ $\mathrm{E}[x^{2}]$ $\mathrm{E}[x^{3}]$ $\mathrm{E}[x^{4}]$ $\mathrm{E}[x^{5}]$ $\mathrm{E}[x^{6}]$ $\mathrm{E}[x^{7}]$ $\mathrm{E}[x^{8}]$ $\mathrm{E}[x^{9}]$ $\mathrm{E}[x^{10}]$ $\mathrm{E}[x^{11}]$ $\mathrm{E}[x^{12}]$
$a_1$ $1$ $0$ $1$ $0$ $5$ $0$ $35$ $0$ $294$ $0$ $2772$ $0$ $28314$
$a_2$ $1$ $1$ $3$ $7$ $23$ $76$ $287$ $1135$ $4769$ $20788$ $93695$ $433148$ $2046266$

## Event Probabilities

 $\mathrm{P}[a_1=0]=\frac{1}{2}$