Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄xC₁₀

Direct product G=NxQ with N=C₆ and Q=D₄xC₁₀

		d	ρ	Label	ID
D₄xC₂xC₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=C₆ and Q=D₄xC₁₀

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(D₄xC₁₀) = C₂xC₁₀xD₁₂	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240	C6:1(D4xC10)	480,1152
C₆:₂(D₄xC₁₀) = S₃xD₄xC₁₀	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	120	C6:2(D4xC10)	480,1154
C₆:₃(D₄xC₁₀) = C₂xC₁₀xC₃:D₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240	C6:3(D4xC10)	480,1164

Non-split extensions G=N.Q with N=C₆ and Q=D₄xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(D₄xC₁₀) = C₅xC₁₂:₂Q₈	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.1(D4xC10)	480,748
C₆.₂(D₄xC₁₀) = C₂₀xD₁₂	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.2(D4xC10)	480,752
C₆.₃(D₄xC₁₀) = C₅xC₄:D₁₂	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.3(D4xC10)	480,753
C₆.₄(D₄xC₁₀) = C₅xC₄²:₇S₃	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.4(D4xC10)	480,754
C₆.₅(D₄xC₁₀) = C₅xD₆:D₄	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	120		C6.5(D4xC10)	480,761
C₆.₆(D₄xC₁₀) = C₅xC₂³.₂₁D₆	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.6(D4xC10)	480,765
C₆.₇(D₄xC₁₀) = C₅xC₁₂:D₄	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.7(D4xC10)	480,774
C₆.₈(D₄xC₁₀) = C₅xC₄.D₁₂	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.8(D4xC10)	480,776
C₆.₉(D₄xC₁₀) = C₁₀xC₂₄:C₂	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.9(D4xC10)	480,781
C₆.₁₀(D₄xC₁₀) = C₁₀xD₂₄	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.10(D4xC10)	480,782
C₆.₁₁(D₄xC₁₀) = C₅xC₄oD₂₄	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240	2	C6.11(D4xC10)	480,783
C₆.₁₂(D₄xC₁₀) = C₁₀xDic₁₂	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.12(D4xC10)	480,784
C₆.₁₃(D₄xC₁₀) = C₅xC₈:D₆	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	120	4	C6.13(D4xC10)	480,787
C₆.₁₄(D₄xC₁₀) = C₅xC₈.D₆	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240	4	C6.14(D4xC10)	480,788
C₆.₁₅(D₄xC₁₀) = C₁₀xC₄:Dic₃	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.15(D4xC10)	480,804
C₆.₁₆(D₄xC₁₀) = C₅xDic₃.D₄	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.16(D4xC10)	480,757
C₆.₁₇(D₄xC₁₀) = C₅xS₃xC₂²:C₄	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	120		C6.17(D4xC10)	480,759
C₆.₁₈(D₄xC₁₀) = C₅xDic₃:₄D₄	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.18(D4xC10)	480,760
C₆.₁₉(D₄xC₁₀) = C₅xC₂³.₉D₆	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.19(D4xC10)	480,762
C₆.₂₀(D₄xC₁₀) = C₅xDic₃:D₄	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.20(D4xC10)	480,763
C₆.₂₁(D₄xC₁₀) = C₅xC₂³.₁₁D₆	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.21(D4xC10)	480,764
C₆.₂₂(D₄xC₁₀) = C₅xC₁₂:Q₈	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	480		C6.22(D4xC10)	480,767
C₆.₂₃(D₄xC₁₀) = C₅xS₃xC₄:C₄	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.23(D4xC10)	480,770
C₆.₂₄(D₄xC₁₀) = C₅xDic₃:₅D₄	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.24(D4xC10)	480,772
C₆.₂₅(D₄xC₁₀) = C₅xD₆.D₄	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.25(D4xC10)	480,773
C₆.₂₆(D₄xC₁₀) = C₅xD₆:Q₈	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.26(D4xC10)	480,775
C₆.₂₇(D₄xC₁₀) = C₅xS₃xD₈	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	120	4	C6.27(D4xC10)	480,789
C₆.₂₈(D₄xC₁₀) = C₅xD₈:S₃	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	120	4	C6.28(D4xC10)	480,790
C₆.₂₉(D₄xC₁₀) = C₅xD₈:₃S₃	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240	4	C6.29(D4xC10)	480,791
C₆.₃₀(D₄xC₁₀) = C₅xS₃xSD₁₆	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	120	4	C6.30(D4xC10)	480,792
C₆.₃₁(D₄xC₁₀) = C₅xQ₈:₃D₆	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	120	4	C6.31(D4xC10)	480,793
C₆.₃₂(D₄xC₁₀) = C₅xD₄.D₆	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240	4	C6.32(D4xC10)	480,794
C₆.₃₃(D₄xC₁₀) = C₅xQ₈.₇D₆	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240	4	C6.33(D4xC10)	480,795
C₆.₃₄(D₄xC₁₀) = C₅xS₃xQ₁₆	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240	4	C6.34(D4xC10)	480,796
C₆.₃₅(D₄xC₁₀) = C₅xQ₁₆:S₃	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240	4	C6.35(D4xC10)	480,797
C₆.₃₆(D₄xC₁₀) = C₅xD₂₄:C₂	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240	4	C6.36(D4xC10)	480,798
C₆.₃₇(D₄xC₁₀) = C₅xD₄xDic₃	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₆	240		C6.37(D4xC10)	480,813
C₆.₃₈(D₄xC₁₀) = C₁₀xDic₃:C₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	480		C6.38(D4xC10)	480,802
C₆.₃₉(D₄xC₁₀) = C₅xC₁₂.₄₈D₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.39(D4xC10)	480,803
C₆.₄₀(D₄xC₁₀) = C₁₀xD₆:C₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.40(D4xC10)	480,806
C₆.₄₁(D₄xC₁₀) = C₂₀xC₃:D₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.41(D4xC10)	480,807
C₆.₄₂(D₄xC₁₀) = C₅xC₂³.₂₈D₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.42(D4xC10)	480,808
C₆.₄₃(D₄xC₁₀) = C₅xC₁₂:₇D₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.43(D4xC10)	480,809
C₆.₄₄(D₄xC₁₀) = C₁₀xD₄:S₃	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.44(D4xC10)	480,810
C₆.₄₅(D₄xC₁₀) = C₅xD₁₂:₆C₂²	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	120	4	C6.45(D4xC10)	480,811
C₆.₄₆(D₄xC₁₀) = C₁₀xD₄.S₃	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.46(D4xC10)	480,812
C₆.₄₇(D₄xC₁₀) = C₅xC₂³.₂₃D₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.47(D4xC10)	480,814
C₆.₄₈(D₄xC₁₀) = C₅xC₂³.₁₂D₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.48(D4xC10)	480,815
C₆.₄₉(D₄xC₁₀) = C₅xC₂³:₂D₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	120		C6.49(D4xC10)	480,816
C₆.₅₀(D₄xC₁₀) = C₅xD₆:₃D₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.50(D4xC10)	480,817
C₆.₅₁(D₄xC₁₀) = C₅xC₂³.₁₄D₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.51(D4xC10)	480,818
C₆.₅₂(D₄xC₁₀) = C₅xC₁₂:₃D₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.52(D4xC10)	480,819
C₆.₅₃(D₄xC₁₀) = C₁₀xQ₈:₂S₃	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.53(D4xC10)	480,820
C₆.₅₄(D₄xC₁₀) = C₅xQ₈.₁₁D₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240	4	C6.54(D4xC10)	480,821
C₆.₅₅(D₄xC₁₀) = C₁₀xC₃:Q₁₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	480		C6.55(D4xC10)	480,822
C₆.₅₆(D₄xC₁₀) = C₅xDic₃:Q₈	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	480		C6.56(D4xC10)	480,823
C₆.₅₇(D₄xC₁₀) = C₅xD₆:₃Q₈	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.57(D4xC10)	480,825
C₆.₅₈(D₄xC₁₀) = C₅xC₁₂.₂₃D₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.58(D4xC10)	480,826
C₆.₅₉(D₄xC₁₀) = C₅xD₄:D₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	120	4	C6.59(D4xC10)	480,828
C₆.₆₀(D₄xC₁₀) = C₅xQ₈.₁₃D₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240	4	C6.60(D4xC10)	480,829
C₆.₆₁(D₄xC₁₀) = C₅xQ₈.₁₄D₆	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240	4	C6.61(D4xC10)	480,830
C₆.₆₂(D₄xC₁₀) = C₁₀xC₆.D₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	240		C6.62(D4xC10)	480,831
C₆.₆₃(D₄xC₁₀) = C₅xC₂⁴:₄S₃	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₆	120		C6.63(D4xC10)	480,832
C₆.₆₄(D₄xC₁₀) = C₂²:C₄xC₃₀	central extension (φ=1)	240		C6.64(D4xC10)	480,920
C₆.₆₅(D₄xC₁₀) = C₄:C₄xC₃₀	central extension (φ=1)	480		C6.65(D4xC10)	480,921
C₆.₆₆(D₄xC₁₀) = D₄xC₆₀	central extension (φ=1)	240		C6.66(D4xC10)	480,923
C₆.₆₇(D₄xC₁₀) = C₁₅xC₂²wrC₂	central extension (φ=1)	120		C6.67(D4xC10)	480,925
C₆.₆₈(D₄xC₁₀) = C₁₅xC₄:D₄	central extension (φ=1)	240		C6.68(D4xC10)	480,926
C₆.₆₉(D₄xC₁₀) = C₁₅xC₂²:Q₈	central extension (φ=1)	240		C6.69(D4xC10)	480,927
C₆.₇₀(D₄xC₁₀) = C₁₅xC₂².D₄	central extension (φ=1)	240		C6.70(D4xC10)	480,928
C₆.₇₁(D₄xC₁₀) = C₁₅xC₄.₄D₄	central extension (φ=1)	240		C6.71(D4xC10)	480,929
C₆.₇₂(D₄xC₁₀) = C₁₅xC₄:₁D₄	central extension (φ=1)	240		C6.72(D4xC10)	480,932
C₆.₇₃(D₄xC₁₀) = C₁₅xC₄:Q₈	central extension (φ=1)	480		C6.73(D4xC10)	480,933
C₆.₇₄(D₄xC₁₀) = D₈xC₃₀	central extension (φ=1)	240		C6.74(D4xC10)	480,937
C₆.₇₅(D₄xC₁₀) = SD₁₆xC₃₀	central extension (φ=1)	240		C6.75(D4xC10)	480,938
C₆.₇₆(D₄xC₁₀) = Q₁₆xC₃₀	central extension (φ=1)	480		C6.76(D4xC10)	480,939
C₆.₇₇(D₄xC₁₀) = C₁₅xC₄oD₈	central extension (φ=1)	240	2	C6.77(D4xC10)	480,940
C₆.₇₈(D₄xC₁₀) = C₁₅xC₈:C₂²	central extension (φ=1)	120	4	C6.78(D4xC10)	480,941
C₆.₇₉(D₄xC₁₀) = C₁₅xC₈.C₂²	central extension (φ=1)	240	4	C6.79(D4xC10)	480,942

Extensions 1→N→G→Q→1 with N=C6 and Q=D4xC10

Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄xC₁₀