g++ pch problem

header.h

#ifndef HEADER_h
#define HEADER_h

#include <subheader.h>

int global_var;

static inline int f(int p)
{
    return p * p;
}

#endif

main.cpp

#include <cstdlib>
#include <iostream>

#include <header.h>

int main(void)
{
    std::cout << "global_var = " << global_var << std::endl;
    std::cout << "f(10) = " << f(10) << std::endl;
    std::cout << "global_var2 = " << global_var2 << std::endl;
    std::cout << "g(10) = " << g(10) << std::endl;
    return EXIT_SUCCESS;
}

Makefile

%.h.gch: %.h
	@mkdir -p out
	g++ -Wall -Wextra -pedantic -x c++-header -I. $< -o out/$@

main: main.cpp header.h.gch
	@mkdir -p out
	g++ -Wall -Wextra -pedantic -Winvalid-pch -I out $< -o out/$@

clean:
	rm -rfv out *~

subheader.h

#ifndef SUBHEADER_h
#define SUBHEADER_h

int global_var2;

static inline int g(int p)
{
    return 42 * p;
}

#endif

g++ -Wall -Wextra -pedantic -x c++-header -I. header.h -o out/header.h.gch
g++ -Wall -Wextra -pedantic -Winvalid-pch -I out main.cpp -o out/main
main.cpp:4:20: fatal error: header.h: No such file or directory
 #include <header.h>
                    ^
compilation terminated.
make: *** [main] Error 1