restructure cmake project

include/groups.h

@@ -0,0 +1,52 @@
+#pragma once
+
+#include <vector>
+
+namespace tc {
+    struct Mult {
+        int gen0, gen1, mult;
+    };
+
+    struct Group {
+        int ngens;
+        std::vector<std::vector<int>> _mults;
+
+        explicit Group(int ngens, const std::vector<Mult> &rels = {});
+
+        void setmult(Mult m);
+
+        [[nodiscard]] std::vector<Mult> get_mults() const;
+
+        [[nodiscard]] Group product(const Group &other) const;
+
+        [[nodiscard]] Group power(int p) const;
+    };
+
+    Group operator*(const Group &g, const Group &h);
+
+    Group operator^(const Group &g, const int &p);
+
+    Group schlafli(const std::vector<int> &mults);
+
+    namespace group {
+        Group A(int n);
+
+        Group B(int n);
+
+        Group D(int n);
+
+        Group E(int n);
+
+        Group F4();
+
+        Group G2();
+
+        Group H(int n);
+
+        Group I2(int n);
+
+        Group T(int n, int m);
+
+        Group T(int n);
+    }
+}