Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₅xD₄

Direct product G=NxQ with N=C₁₂ and Q=C₅xD₄

		d	ρ	Label	ID
D₄xC₆₀		240		D4xC60	480,923

Semidirect products G=N:Q with N=C₁₂ and Q=C₅xD₄

extension	φ:Q→Aut N	d	Label	ID
C₁₂:₁(C₅xD₄) = C₅xC₁₂:D₄	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:1(C5xD4)	480,774
C₁₂:₂(C₅xD₄) = C₅xD₆:₃D₄	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:2(C5xD4)	480,817
C₁₂:₃(C₅xD₄) = C₅xC₁₂:₃D₄	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:3(C5xD4)	480,819
C₁₂:₄(C₅xD₄) = C₅xC₄:D₁₂	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240	C12:4(C5xD4)	480,753
C₁₂:₅(C₅xD₄) = C₂₀xD₁₂	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240	C12:5(C5xD4)	480,752
C₁₂:₆(C₅xD₄) = C₁₅xC₄:₁D₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240	C12:6(C5xD4)	480,932
C₁₂:₇(C₅xD₄) = C₅xC₁₂:₇D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	C12:7(C5xD4)	480,809
C₁₂:₈(C₅xD₄) = C₂₀xC₃:D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	C12:8(C5xD4)	480,807
C₁₂:₉(C₅xD₄) = C₁₅xC₄:D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	C12:9(C5xD4)	480,926

Non-split extensions G=N.Q with N=C₁₂ and Q=C₅xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₅xD₄) = C₅xC₆.D₈	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.1(C5xD4)	480,128
C₁₂.₂(C₅xD₄) = C₅xC₆.SD₁₆	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.2(C5xD4)	480,129
C₁₂.₃(C₅xD₄) = C₅xC₃:D₁₆	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.3(C5xD4)	480,145
C₁₂.₄(C₅xD₄) = C₅xD₈.S₃	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.4(C5xD4)	480,146
C₁₂.₅(C₅xD₄) = C₅xC₈.₆D₆	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.5(C5xD4)	480,147
C₁₂.₆(C₅xD₄) = C₅xC₃:Q₃₂	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	480	4	C12.6(C5xD4)	480,148
C₁₂.₇(C₅xD₄) = C₅xD₄:Dic₃	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.7(C5xD4)	480,151
C₁₂.₈(C₅xD₄) = C₅xC₁₂.D₄	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.8(C5xD4)	480,152
C₁₂.₉(C₅xD₄) = C₅xQ₈:₂Dic₃	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.9(C5xD4)	480,154
C₁₂.₁₀(C₅xD₄) = C₅xC₁₂.₁₀D₄	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.10(C5xD4)	480,155
C₁₂.₁₁(C₅xD₄) = C₅xC₄.D₁₂	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.11(C5xD4)	480,776
C₁₂.₁₂(C₅xD₄) = C₅xC₈:D₆	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.12(C5xD4)	480,787
C₁₂.₁₃(C₅xD₄) = C₅xC₈.D₆	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.13(C5xD4)	480,788
C₁₂.₁₄(C₅xD₄) = C₁₀xD₄:S₃	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.14(C5xD4)	480,810
C₁₂.₁₅(C₅xD₄) = C₅xD₁₂:₆C₂²	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.15(C5xD4)	480,811
C₁₂.₁₆(C₅xD₄) = C₁₀xD₄.S₃	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.16(C5xD4)	480,812
C₁₂.₁₇(C₅xD₄) = C₅xC₂³.₁₂D₆	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.17(C5xD4)	480,815
C₁₂.₁₈(C₅xD₄) = C₁₀xQ₈:₂S₃	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.18(C5xD4)	480,820
C₁₂.₁₉(C₅xD₄) = C₅xQ₈.₁₁D₆	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.19(C5xD4)	480,821
C₁₂.₂₀(C₅xD₄) = C₁₀xC₃:Q₁₆	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.20(C5xD4)	480,822
C₁₂.₂₁(C₅xD₄) = C₅xDic₃:Q₈	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.21(C5xD4)	480,823
C₁₂.₂₂(C₅xD₄) = C₅xD₆:₃Q₈	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.22(C5xD4)	480,825
C₁₂.₂₃(C₅xD₄) = C₅xC₁₂.₂₃D₄	φ: C₅xD₄/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.23(C5xD4)	480,826
C₁₂.₂₄(C₅xD₄) = C₅xD₄₈	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.24(C5xD4)	480,118
C₁₂.₂₅(C₅xD₄) = C₅xC₄₈:C₂	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.25(C5xD4)	480,119
C₁₂.₂₆(C₅xD₄) = C₅xDic₂₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	480	2	C12.26(C5xD4)	480,120
C₁₂.₂₇(C₅xD₄) = C₅xC₁₂:₂Q₈	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.27(C5xD4)	480,748
C₁₂.₂₈(C₅xD₄) = C₅xC₄²:₇S₃	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.28(C5xD4)	480,754
C₁₂.₂₉(C₅xD₄) = C₁₀xC₂₄:C₂	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.29(C5xD4)	480,781
C₁₂.₃₀(C₅xD₄) = C₁₀xD₂₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.30(C5xD4)	480,782
C₁₂.₃₁(C₅xD₄) = C₁₀xDic₁₂	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.31(C5xD4)	480,784
C₁₂.₃₂(C₅xD₄) = C₅xC₁₂:C₈	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.32(C5xD4)	480,123
C₁₂.₃₃(C₅xD₄) = C₅xC₄²:₄S₃	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	120	2	C12.33(C5xD4)	480,124
C₁₂.₃₄(C₅xD₄) = C₅xC₂₄.C₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.34(C5xD4)	480,138
C₁₂.₃₅(C₅xD₄) = C₅xC₄oD₂₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.35(C5xD4)	480,783
C₁₂.₃₆(C₅xD₄) = C₁₅xD₁₆	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.36(C5xD4)	480,214
C₁₂.₃₇(C₅xD₄) = C₁₅xSD₃₂	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.37(C5xD4)	480,215
C₁₂.₃₈(C₅xD₄) = C₁₅xQ₃₂	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	480	2	C12.38(C5xD4)	480,216
C₁₂.₃₉(C₅xD₄) = C₁₅xC₄.₄D₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.39(C5xD4)	480,929
C₁₂.₄₀(C₅xD₄) = C₁₅xC₄:Q₈	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.40(C5xD4)	480,933
C₁₂.₄₁(C₅xD₄) = D₈xC₃₀	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.41(C5xD4)	480,937
C₁₂.₄₂(C₅xD₄) = SD₁₆xC₃₀	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	240		C12.42(C5xD4)	480,938
C₁₂.₄₃(C₅xD₄) = Q₁₆xC₃₀	φ: C₅xD₄/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.43(C5xD4)	480,939
C₁₂.₄₄(C₅xD₄) = C₅xC₂.Dic₁₂	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.44(C5xD4)	480,135
C₁₂.₄₅(C₅xD₄) = C₅xC₂.D₂₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.45(C5xD4)	480,140
C₁₂.₄₆(C₅xD₄) = C₅xC₁₂.₄₆D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.46(C5xD4)	480,142
C₁₂.₄₇(C₅xD₄) = C₅xC₁₂.₄₇D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.47(C5xD4)	480,143
C₁₂.₄₈(C₅xD₄) = C₅xC₁₂.₄₈D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.48(C5xD4)	480,803
C₁₂.₄₉(C₅xD₄) = C₅xD₄:D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.49(C5xD4)	480,828
C₁₂.₅₀(C₅xD₄) = C₅xQ₈.₁₄D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.50(C5xD4)	480,830
C₁₂.₅₁(C₅xD₄) = C₅xDic₃:C₈	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.51(C5xD4)	480,133
C₁₂.₅₂(C₅xD₄) = C₅xD₆:C₈	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.52(C5xD4)	480,139
C₁₂.₅₃(C₅xD₄) = C₅xC₁₂.₅₃D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.53(C5xD4)	480,141
C₁₂.₅₄(C₅xD₄) = C₅xD₁₂:C₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.54(C5xD4)	480,144
C₁₂.₅₅(C₅xD₄) = C₅xC₁₂.₅₅D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.55(C5xD4)	480,149
C₁₂.₅₆(C₅xD₄) = C₅xQ₈:₃Dic₃	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.56(C5xD4)	480,156
C₁₂.₅₇(C₅xD₄) = C₅xQ₈.₁₃D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.57(C5xD4)	480,829
C₁₂.₅₈(C₅xD₄) = C₁₅xC₄.D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.58(C5xD4)	480,203
C₁₂.₅₉(C₅xD₄) = C₁₅xC₄.₁₀D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.59(C5xD4)	480,204
C₁₂.₆₀(C₅xD₄) = C₁₅xD₄:C₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.60(C5xD4)	480,205
C₁₂.₆₁(C₅xD₄) = C₁₅xQ₈:C₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.61(C5xD4)	480,206
C₁₂.₆₂(C₅xD₄) = C₁₅xC₂²:Q₈	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.62(C5xD4)	480,927
C₁₂.₆₃(C₅xD₄) = C₁₅xC₈:C₂²	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.63(C5xD4)	480,941
C₁₂.₆₄(C₅xD₄) = C₁₅xC₈.C₂²	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.64(C5xD4)	480,942
C₁₂.₆₅(C₅xD₄) = C₁₅xC₂²:C₈	central extension (φ=1)	240		C12.65(C5xD4)	480,201
C₁₂.₆₆(C₅xD₄) = C₁₅xC₄wrC₂	central extension (φ=1)	120	2	C12.66(C5xD4)	480,207
C₁₂.₆₇(C₅xD₄) = C₁₅xC₄:C₈	central extension (φ=1)	480		C12.67(C5xD4)	480,208
C₁₂.₆₈(C₅xD₄) = C₁₅xC₈.C₄	central extension (φ=1)	240	2	C12.68(C5xD4)	480,211
C₁₂.₆₉(C₅xD₄) = C₁₅xC₄oD₈	central extension (φ=1)	240	2	C12.69(C5xD4)	480,940

Extensions 1→N→G→Q→1 with N=C12 and Q=C5xD4

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₅xD₄