Use PermutationMatrix instead of indices (#475) #754

Job	Run time
bazel	8m 36s
bazel	8m 36s
clang-tidy	56s
clang-tidy	52s
osx-clang	9m 36s
osx-clang	9m 36s
format	6m 6s
format	6m 6s
ubuntu-build-documentation	1m 6s
ubuntu-build-documentation	1m 19s
ubuntu-clang14	1m 3s
ubuntu-clang14	9m 35s
ubuntu-gcc11	1m 14s
ubuntu-gcc11	10m 48s
ubuntu-clang14-sanitizers (address-undefined-leak, ./ci/run_address_sanitizer_tests.sh)	1m 10s
ubuntu-clang14-sanitizers (address-undefined-leak, ./ci/run_address_sanitizer_tests.sh)	14m 45s
ubuntu-clang14-sanitizers (thread, ./ci/run_thread_sanitizer_tests.sh)	1m 10s
ubuntu-clang14-sanitizers (thread, ./ci/run_thread_sanitizer_tests.sh)	12m 52s
	1h 45m 26s

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