Sorry, no online dictionaries contain the exact phrase invariant group.
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Reverse dictionary results:
1. moonshine
 2. constant
3. variance
4. projective geometry
5. geometry
6. attrition
7. automorphism
8. bar
9. brigade
10. capital
 11. carrier
12. caste
13. cohere
14. complementary
15. consistent
16. constellation
17. coupling
18. det
19. electron
20. era
 21. essence
22. extension
23. faithful
24. farm
25. fixed
26. floater
27. focus
28. formula
29. fowl
30. globe
 31. hammer
32. involution
33. load
34. march
35. measure
36. number
37. page
38. passel
39. permutation
40. phraseology

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