SmallGroup(1,1) = 1
SmallGroup(6,1) = S3 = Hol(C3)
SmallGroup(20,3) = C5 : C4 = Hol(C5)
SmallGroup(24,12) = S4
SmallGroup(42,1) = C7 : C6 = Hol(C7)
SmallGroup(54,6) = C9 : C6 = Hol(C9)
SmallGroup(110,1) = C11 : C10 = Hol(C11)
SmallGroup(120,34) = S5
SmallGroup(120,36) = S3 x (C5 : C4) = Hol(C15)
SmallGroup(144,182) = (C3 x C3) : QD16
SmallGroup(144,183) = S3 x S4
SmallGroup(156,7) = C13 : C12 = Hol(C13)
SmallGroup(168,43) = (C2 x C2 x C2) : (C7 : C3)
SmallGroup(216,90) = (((C2 x C2) : C9) : C2) : C3
SmallGroup(252,26) = S3 x (C7 : C6) = Hol(C21)
SmallGroup(272,50) = C17 : C16 = Hol(C17)
SmallGroup(320,1635) = ((C2 x C2 x C2 x C2) : C5) : C4
SmallGroup(324,118) = S3 x (C9 : C6)
SmallGroup(336,208) = PSL(3,2) : C2
SmallGroup(342,7) = C19 : C18 = Hol(C19)
SmallGroup(384,5677) = ((((C2 x C2 x C2 x C2) : C2) : C2) : C3) : C2
SmallGroup(384,5678) = ((((C2 x C2 x C2 x C2) : C2) : C2) : C3) : C2
SmallGroup(432,520) = ((C3 x C3) : C3) : QD16
SmallGroup(432,523) = (((C3 x A4) : C2) : C3) : C2
SmallGroup(432,533) = C2 x ((((C2 x C2) : C9) : C2) : C3)
SmallGroup(432,734) = (((C3 x C3) : Q8) : C3) : C2 = Hol(C3 x C3)
SmallGroup(480,1189) = (C5 : C4) x S4
SmallGroup(486,31) = (C27 : C9) : C2 = Hol(C27)
SmallGroup(500,18) = (C25 : C5) : C4 = Hol(C25)
SmallGroup(506,1) = C23 : C22 = Hol(C23)
SmallGroup(660,15) = S3 x (C11 : C10) = Hol(C33)
SmallGroup(720,767) = S5 x S3
SmallGroup(800,1191) = (C5 x C5) : ((C4 x C4) : C2)
SmallGroup(812,7) = C29 : C28 = Hol(C29)
SmallGroup(840,139) = (C5 : C4) x (C7 : C6) = Hol(C35)
SmallGroup(864,4661) = C2 x ((((C3 x C3) : Q8) : C3) : C2)
SmallGroup(864,4662) = ((C3 x C3) : QD16) x S3
SmallGroup(930,1) = C31 : C30 = Hol(C31)
SmallGroup(936,167) = S3 x (C13 : C12) = Hol(C39)
SmallGroup(960,11359) = ((C2 x C2 x C2 x C2) : C15) : C4
SmallGroup(972,215) = C2 x ((C27 : C9) : C2)
SmallGroup(972,429) = ((C3 x (C9 : C3)) : C3) : (C2 x C2)
SmallGroup(972,445) = ((C3 x ((C3 x C3) : C3)) : C3) : (C2 x C2)
SmallGroup(972,446) = ((C3 x (C9 : C3)) : C3) : (C2 x C2)
SmallGroup(972,447) = ((C3 x ((C3 x C3) : C3)) : C3) : (C2 x C2)
SmallGroup(1008,885) = S3 x ((C2 x C2 x C2) : (C7 : C3))
SmallGroup(1008,886) = (C7 : C6) x S4
SmallGroup(1012,7) = C2 x (C23 : C22)
SmallGroup(1080,271) = (C5 : C4) x (C9 : C6) = Hol(C45)