What are the simply-connected non-compact irreducible symmetric spaces? 
Would someone be able to list (or provide a reference to) the simply-connected non-compact irreducible symmetric spaces of rank $\ge 1$(as quotients of Lie groups $G/H$)? 

Any help would be appreciated!
 A: The reference from which I learned the lists of $G/K$'s of various sorts is S. Helgason's book "Differential Geometry and Symmetric Spaces".
(For my own mathematical purposes, explicit details about at least the "classical groups and domains" is very useful, so I do keep these things in my head.) Possibly dropping overt reference to the anomalous isogenies and edge cases and quibbles about notational conventions...
Type A: $SL_n(\mathbb R)/SO(n,\mathbb R)$, $SL_n(\mathbb C)/SU(n)$, $SL_n(\mathbb H)/Sp^*(n)$, $U(p,q)/U(p)\times U(q)$
Types B,D: $O(p,q,\mathbb R)/O(p)\times O(q)$, $O(n,\mathbb C)/SO(n,\mathbb R)$, $O^*_{2n}/U(n)$.
Type C: $Sp_n(\mathbb C)/Sp^*n$, $Sp_n(\mathbb R)/U(n)$, $Sp^*_{p,q}/Sp^*_p\times Sp^*_q$.
The not-well-known cases are: $Sp^*_{p,q}$ is (modeled by) the group of quaternion matrices preserving a quaternion hermitian form. Provably, these have signatures, much as Sylvester's inertia theorem for quadratic forms. And $O^*_{2n}$ is quaternion matrices preserving a skew-hermitian form.
Note that in all cases the three $\mathbb R$-algebras $\mathbb R, \mathbb C, \mathbb H$ play roles. In fact, a completely parallel thing happens for classical groups over $p$-adic fields and in other cases, as in A. Weil's "Algebras with involutions and classical groups", Indian (not Indiana) J. Math. 1960.
