Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂xC₂₀

Direct product G=NxQ with N=C₁₂ and Q=C₂xC₂₀

		d	ρ	Label	ID
C₂xC₄xC₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₁₂ and Q=C₂xC₂₀

extension	φ:Q→Aut N	d	Label	ID
C₁₂:₁(C₂xC₂₀) = C₅xS₃xC₄:C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:1(C2xC20)	480,770
C₁₂:₂(C₂xC₂₀) = C₅xDic₃:₅D₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:2(C2xC20)	480,772
C₁₂:₃(C₂xC₂₀) = C₅xD₄xDic₃	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:3(C2xC20)	480,813
C₁₂:₄(C₂xC₂₀) = C₂₀xD₁₂	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	C12:4(C2xC20)	480,752
C₁₂:₅(C₂xC₂₀) = S₃xC₄xC₂₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	C12:5(C2xC20)	480,750
C₁₂:₆(C₂xC₂₀) = D₄xC₆₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	C12:6(C2xC20)	480,923
C₁₂:₇(C₂xC₂₀) = C₁₀xC₄:Dic₃	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480	C12:7(C2xC20)	480,804
C₁₂:₈(C₂xC₂₀) = Dic₃xC₂xC₂₀	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480	C12:8(C2xC20)	480,801
C₁₂:₉(C₂xC₂₀) = C₄:C₄xC₃₀	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480	C12:9(C2xC20)	480,921

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂xC₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₂xC₂₀) = C₅xC₆.Q₁₆	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.1(C2xC20)	480,126
C₁₂.₂(C₂xC₂₀) = C₅xC₁₂.Q₈	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.2(C2xC20)	480,127
C₁₂.₃(C₂xC₂₀) = C₅xC₆.D₈	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.3(C2xC20)	480,128
C₁₂.₄(C₂xC₂₀) = C₅xC₆.SD₁₆	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.4(C2xC20)	480,129
C₁₂.₅(C₂xC₂₀) = C₅xC₁₂.₅₃D₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.5(C2xC20)	480,141
C₁₂.₆(C₂xC₂₀) = C₅xD₁₂:C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.6(C2xC20)	480,144
C₁₂.₇(C₂xC₂₀) = C₅xD₄:Dic₃	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.7(C2xC20)	480,151
C₁₂.₈(C₂xC₂₀) = C₅xQ₈:₂Dic₃	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.8(C2xC20)	480,154
C₁₂.₉(C₂xC₂₀) = C₅xQ₈:₃Dic₃	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.9(C2xC20)	480,156
C₁₂.₁₀(C₂xC₂₀) = C₅xDic₆:C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.10(C2xC20)	480,766
C₁₂.₁₁(C₂xC₂₀) = C₅xC₄:C₄:₇S₃	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.11(C2xC20)	480,771
C₁₂.₁₂(C₂xC₂₀) = C₅xS₃xM₄(2)	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.12(C2xC20)	480,785
C₁₂.₁₃(C₂xC₂₀) = C₅xD₁₂.C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.13(C2xC20)	480,786
C₁₂.₁₄(C₂xC₂₀) = C₅xQ₈xDic₃	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.14(C2xC20)	480,824
C₁₂.₁₅(C₂xC₂₀) = C₅xD₄.Dic₃	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.15(C2xC20)	480,827
C₁₂.₁₆(C₂xC₂₀) = C₅xC₄²:₄S₃	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	120	2	C12.16(C2xC20)	480,124
C₁₂.₁₇(C₂xC₂₀) = C₅xC₂.Dic₁₂	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.17(C2xC20)	480,135
C₁₂.₁₈(C₂xC₂₀) = C₅xC₂.D₂₄	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.18(C2xC20)	480,140
C₁₂.₁₉(C₂xC₂₀) = C₂₀xDic₆	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.19(C2xC20)	480,747
C₁₂.₂₀(C₂xC₂₀) = C₅xC₈oD₁₂	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.20(C2xC20)	480,780
C₁₂.₂₁(C₂xC₂₀) = S₃xC₈₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.21(C2xC20)	480,116
C₁₂.₂₂(C₂xC₂₀) = C₅xD₆.C₈	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.22(C2xC20)	480,117
C₁₂.₂₃(C₂xC₂₀) = C₂₀xC₃:C₈	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.23(C2xC20)	480,121
C₁₂.₂₄(C₂xC₂₀) = C₅xC₄².S₃	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.24(C2xC20)	480,122
C₁₂.₂₅(C₂xC₂₀) = Dic₃xC₄₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.25(C2xC20)	480,132
C₁₂.₂₆(C₂xC₂₀) = C₅xC₄²:₂S₃	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.26(C2xC20)	480,751
C₁₂.₂₇(C₂xC₂₀) = S₃xC₂xC₄₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.27(C2xC20)	480,778
C₁₂.₂₈(C₂xC₂₀) = C₁₀xC₈:S₃	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.28(C2xC20)	480,779
C₁₂.₂₉(C₂xC₂₀) = C₁₅xD₄:C₄	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.29(C2xC20)	480,205
C₁₂.₃₀(C₂xC₂₀) = C₁₅xQ₈:C₄	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.30(C2xC20)	480,206
C₁₂.₃₁(C₂xC₂₀) = C₁₅xC₄wrC₂	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	120	2	C12.31(C2xC20)	480,207
C₁₂.₃₂(C₂xC₂₀) = Q₈xC₆₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.32(C2xC20)	480,924
C₁₂.₃₃(C₂xC₂₀) = C₁₅xC₈oD₄	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.33(C2xC20)	480,936
C₁₂.₃₄(C₂xC₂₀) = C₅xC₈:Dic₃	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.34(C2xC20)	480,136
C₁₂.₃₅(C₂xC₂₀) = C₅xC₂₄:₁C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.35(C2xC20)	480,137
C₁₂.₃₆(C₂xC₂₀) = C₅xC₂₄.C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	2	C12.36(C2xC20)	480,138
C₁₂.₃₇(C₂xC₂₀) = C₁₀xC₄.Dic₃	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.37(C2xC20)	480,800
C₁₂.₃₈(C₂xC₂₀) = C₁₀xC₃:C₁₆	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.38(C2xC20)	480,130
C₁₂.₃₉(C₂xC₂₀) = C₅xC₁₂.C₈	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	2	C12.39(C2xC20)	480,131
C₁₂.₄₀(C₂xC₂₀) = C₅xC₂₄:C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.40(C2xC20)	480,134
C₁₂.₄₁(C₂xC₂₀) = C₂xC₁₀xC₃:C₈	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.41(C2xC20)	480,799
C₁₂.₄₂(C₂xC₂₀) = C₅xC₂³.₂₆D₆	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.42(C2xC20)	480,805
C₁₂.₄₃(C₂xC₂₀) = C₁₅xC₄.Q₈	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.43(C2xC20)	480,209
C₁₂.₄₄(C₂xC₂₀) = C₁₅xC₂.D₈	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.44(C2xC20)	480,210
C₁₂.₄₅(C₂xC₂₀) = C₁₅xC₈.C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	2	C12.45(C2xC20)	480,211
C₁₂.₄₆(C₂xC₂₀) = C₁₅xC₄²:C₂	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.46(C2xC20)	480,922
C₁₂.₄₇(C₂xC₂₀) = M₄(2)xC₃₀	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.47(C2xC20)	480,935
C₁₂.₄₈(C₂xC₂₀) = C₁₅xC₈:C₄	central extension (φ=1)	480		C12.48(C2xC20)	480,200
C₁₂.₄₉(C₂xC₂₀) = C₁₅xM₅(2)	central extension (φ=1)	240	2	C12.49(C2xC20)	480,213

Extensions 1→N→G→Q→1 with N=C12 and Q=C2xC20

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂xC₂₀