All the Sporadic groups in their subquotient relationship.

   Y
  /   means: X is subquotient of Y,
 X    and there is no simple subquotient inbetween.

Generations of Happy Family:

 Mathieu groups (1st)       = red,
 Leech lattice groups (2nd) = green,
 other Monster subquotients = blue,
 Pariahs                    = white.

digraph G { M11 -> McL; M11 -> HS; M11 -> M12; M11 -> M23; M11 -> O’N; M12 -> Co3; M12 -> Suz; M12 -> HN; M12 -> M24; M12 -> Fi22; M22 -> Fi22; M22 -> McL; M22 -> HS; M22 -> M23; M23 -> Co3; M23 -> Co2; M23 -> M24; M23 -> Fi23; M24 -> Co1; M24 -> J4; M24 -> Fi24; J2 -> Suz; HS -> Co3; HS -> Co2; HS -> HN; McL -> Ly; McL -> Co3; McL -> Co2; He -> Fi24; Suz -> Co1; Co3 -> Co1; Co2 -> Co1; Co2 -> B; Co1 -> M; HN -> B; Th -> B; Fi22 -> Fi23; Fi23 -> B; Fi23 -> M; Fi24 -> M; B -> M; M; J1 -> O’N; J3; J4; Ly; O’N; Ru; rankdir=BT