Janko Groups
- The Janko group J1 has order 175 560 = 23 · 3 · 5 · 7 · 11 · 19. It is the only Janko group whose existence was proved by Janko himself.
- The Hall–Janko group has order 604 800 = 27 · 33 · 52 · 7. It is also known as J2, HJ, or the Hall–Janko–Wales group. It was constructed by Marshall Hall, Jr. and David Wales.
- The Janko group J3 has order 50 232 960 = 27 · 35 · 5 · 17 · 19. It is also known as the Higman–Janko–McKay group. It was constructed by Graham Higman and John McKay.
- The Janko group J4 has order 86 775 571 046 077 562 880 = 221 · 33 · 5 · 7 · 113 · 23 · 29 · 31 · 37 · 43. It was constructed by Simon P. Norton.
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