Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xD₂₀

Direct product G=NxQ with N=C₆ and Q=C₂xD₂₀

		d	ρ	Label	ID
C₂xC₆xD₂₀		240		C2xC6xD20	480,1137

Semidirect products G=N:Q with N=C₆ and Q=C₂xD₂₀

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(C₂xD₂₀) = C₂xS₃xD₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	120	C6:1(C2xD20)	480,1088
C₆:₂(C₂xD₂₀) = C₂²xD₆₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240	C6:2(C2xD20)	480,1167
C₆:₃(C₂xD₂₀) = C₂²xC₃:D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240	C6:3(C2xD20)	480,1119

Non-split extensions G=N.Q with N=C₆ and Q=C₂xD₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xD₂₀) = S₃xC₄₀:C₂	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	120	4	C6.1(C2xD20)	480,327
C₆.₂(C₂xD₂₀) = S₃xD₄₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	120	4+	C6.2(C2xD20)	480,328
C₆.₃(C₂xD₂₀) = C₄₀:₁D₆	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	120	4+	C6.3(C2xD20)	480,329
C₆.₄(C₂xD₂₀) = D₄₀:S₃	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	120	4	C6.4(C2xD20)	480,330
C₆.₅(C₂xD₂₀) = S₃xDic₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240	4-	C6.5(C2xD20)	480,338
C₆.₆(C₂xD₂₀) = Dic₂₀:S₃	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240	4	C6.6(C2xD20)	480,339
C₆.₇(C₂xD₂₀) = D₆.₁D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240	4	C6.7(C2xD20)	480,348
C₆.₈(C₂xD₂₀) = D₄₀:₇S₃	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240	4-	C6.8(C2xD20)	480,349
C₆.₉(C₂xD₂₀) = C₄₀.₂D₆	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240	4-	C6.9(C2xD20)	480,350
C₆.₁₀(C₂xD₂₀) = D₁₂₀:₅C₂	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240	4+	C6.10(C2xD20)	480,351
C₆.₁₁(C₂xD₂₀) = Dic₃.D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.11(C2xD20)	480,429
C₆.₁₂(C₂xD₂₀) = Dic₃:₄D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.12(C2xD20)	480,471
C₆.₁₃(C₂xD₂₀) = Dic₃:D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.13(C2xD20)	480,485
C₆.₁₄(C₂xD₂₀) = D₁₀:₂Dic₆	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.14(C2xD20)	480,498
C₆.₁₅(C₂xD₂₀) = Dic₃xD₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.15(C2xD20)	480,501
C₆.₁₆(C₂xD₂₀) = S₃xC₄:Dic₅	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.16(C2xD20)	480,502
C₆.₁₇(C₂xD₂₀) = D₆.D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.17(C2xD20)	480,503
C₆.₁₈(C₂xD₂₀) = D₆₀:₁₄C₄	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.18(C2xD20)	480,504
C₆.₁₉(C₂xD₂₀) = D₃₀:₄Q₈	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.19(C2xD20)	480,505
C₆.₂₀(C₂xD₂₀) = D₆:D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.20(C2xD20)	480,530
C₆.₂₁(C₂xD₂₀) = C₆₀:₄D₄	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.21(C2xD20)	480,532
C₆.₂₂(C₂xD₂₀) = D₆.₉D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.22(C2xD20)	480,533
C₆.₂₃(C₂xD₂₀) = D₃₀:₂D₄	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.23(C2xD20)	480,535
C₆.₂₄(C₂xD₂₀) = C₆₀:₆D₄	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.24(C2xD20)	480,536
C₆.₂₅(C₂xD₂₀) = C₂₀:₄Dic₆	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	480		C6.25(C2xD20)	480,545
C₆.₂₆(C₂xD₂₀) = S₃xD₁₀:C₄	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	120		C6.26(C2xD20)	480,548
C₆.₂₇(C₂xD₂₀) = D₆:₄D₂₀	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	120		C6.27(C2xD20)	480,550
C₆.₂₈(C₂xD₂₀) = D₃₀:₅D₄	φ: C₂xD₂₀/D₂₀ → C₂ ⊆ Aut C₆	120		C6.28(C2xD20)	480,552
C₆.₂₉(C₂xD₂₀) = C₆₀:₈Q₈	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.29(C2xD20)	480,834
C₆.₃₀(C₂xD₂₀) = C₄xD₆₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.30(C2xD20)	480,838
C₆.₃₁(C₂xD₂₀) = C₄²:₆D₁₅	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.31(C2xD20)	480,839
C₆.₃₂(C₂xD₂₀) = C₄²:₇D₁₅	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.32(C2xD20)	480,840
C₆.₃₃(C₂xD₂₀) = D₃₀:₁₆D₄	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	120		C6.33(C2xD20)	480,847
C₆.₃₄(C₂xD₂₀) = C₂².D₆₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.34(C2xD20)	480,851
C₆.₃₅(C₂xD₂₀) = C₄:D₆₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.35(C2xD20)	480,860
C₆.₃₆(C₂xD₂₀) = D₃₀:₆Q₈	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.36(C2xD20)	480,862
C₆.₃₇(C₂xD₂₀) = C₂xC₂₄:D₅	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.37(C2xD20)	480,867
C₆.₃₈(C₂xD₂₀) = C₂xD₁₂₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.38(C2xD20)	480,868
C₆.₃₉(C₂xD₂₀) = C₄₀.₆₉D₆	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240	2	C6.39(C2xD20)	480,869
C₆.₄₀(C₂xD₂₀) = C₂xDic₆₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.40(C2xD20)	480,870
C₆.₄₁(C₂xD₂₀) = C₈:D₃₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	120	4+	C6.41(C2xD20)	480,873
C₆.₄₂(C₂xD₂₀) = C₈.D₃₀	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240	4-	C6.42(C2xD20)	480,874
C₆.₄₃(C₂xD₂₀) = C₂xC₆₀:₅C₄	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.43(C2xD20)	480,890
C₆.₄₄(C₂xD₂₀) = C₂xD₃₀:₃C₄	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.44(C2xD20)	480,892
C₆.₄₅(C₂xD₂₀) = C₆₀:₂₉D₄	φ: C₂xD₂₀/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.45(C2xD20)	480,895
C₆.₄₆(C₂xD₂₀) = C₂xC₃:D₄₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.46(C2xD20)	480,376
C₆.₄₇(C₂xD₂₀) = D₂₀:₁₉D₆	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	120	4+	C6.47(C2xD20)	480,377
C₆.₄₈(C₂xD₂₀) = C₂xC₆.D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.48(C2xD20)	480,386
C₆.₄₉(C₂xD₂₀) = D₂₀.₃₁D₆	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240	4	C6.49(C2xD20)	480,387
C₆.₅₀(C₂xD₂₀) = D₆₀:₃₀C₂²	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	120	4	C6.50(C2xD20)	480,388
C₆.₅₁(C₂xD₂₀) = C₆₀.₆₃D₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240	4-	C6.51(C2xD20)	480,389
C₆.₅₂(C₂xD₂₀) = C₂xC₁₅:SD₁₆	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.52(C2xD20)	480,390
C₆.₅₃(C₂xD₂₀) = C₁₂.D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240	4	C6.53(C2xD20)	480,391
C₆.₅₄(C₂xD₂₀) = C₂xC₃:Dic₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	480		C6.54(C2xD20)	480,395
C₆.₅₅(C₂xD₂₀) = C₆₀.₆₈D₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.55(C2xD20)	480,436
C₆.₅₆(C₂xD₂₀) = C₆₀.₄₄D₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.56(C2xD20)	480,440
C₆.₅₇(C₂xD₂₀) = C₆₀.₄₇D₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.57(C2xD20)	480,450
C₆.₅₈(C₂xD₂₀) = C₆₀.₄₈D₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	480		C6.58(C2xD20)	480,465
C₆.₅₉(C₂xD₂₀) = D₃₀:₁₀Q₈	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.59(C2xD20)	480,466
C₆.₆₀(C₂xD₂₀) = C₄xC₃:D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.60(C2xD20)	480,519
C₆.₆₁(C₂xD₂₀) = C₁₂:₇D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.61(C2xD20)	480,526
C₆.₆₂(C₂xD₂₀) = C₁₂:D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.62(C2xD20)	480,534
C₆.₆₃(C₂xD₂₀) = C₁₂:₂D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.63(C2xD20)	480,541
C₆.₆₄(C₂xD₂₀) = C₂xD₁₀:Dic₃	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.64(C2xD20)	480,611
C₆.₆₅(C₂xD₂₀) = C₆.(C₂xD₂₀)	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.65(C2xD20)	480,613
C₆.₆₆(C₂xD₂₀) = C₂xD₃₀:₄C₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.66(C2xD20)	480,616
C₆.₆₇(C₂xD₂₀) = C₂xC₆.Dic₁₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	480		C6.67(C2xD20)	480,621
C₆.₆₈(C₂xD₂₀) = C₆.D₄:D₅	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.68(C2xD20)	480,622
C₆.₆₉(C₂xD₂₀) = (C₂xC₆):₈D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	120		C6.69(C2xD20)	480,640
C₆.₇₀(C₂xD₂₀) = (C₂xC₆):D₂₀	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.70(C2xD20)	480,645
C₆.₇₁(C₂xD₂₀) = D₃₀:₁₈D₄	φ: C₂xD₂₀/C₂²xD₅ → C₂ ⊆ Aut C₆	120		C6.71(C2xD20)	480,648
C₆.₇₂(C₂xD₂₀) = C₃xC₂₀:₂Q₈	central extension (φ=1)	480		C6.72(C2xD20)	480,662
C₆.₇₃(C₂xD₂₀) = C₁₂xD₂₀	central extension (φ=1)	240		C6.73(C2xD20)	480,666
C₆.₇₄(C₂xD₂₀) = C₃xC₂₀:₄D₄	central extension (φ=1)	240		C6.74(C2xD20)	480,667
C₆.₇₅(C₂xD₂₀) = C₃xC₄.D₂₀	central extension (φ=1)	240		C6.75(C2xD20)	480,668
C₆.₇₆(C₂xD₂₀) = C₃xC₂²:D₂₀	central extension (φ=1)	120		C6.76(C2xD20)	480,675
C₆.₇₇(C₂xD₂₀) = C₃xC₂².D₂₀	central extension (φ=1)	240		C6.77(C2xD20)	480,679
C₆.₇₈(C₂xD₂₀) = C₃xC₄:D₂₀	central extension (φ=1)	240		C6.78(C2xD20)	480,688
C₆.₇₉(C₂xD₂₀) = C₃xD₁₀:₂Q₈	central extension (φ=1)	240		C6.79(C2xD20)	480,690
C₆.₈₀(C₂xD₂₀) = C₆xC₄₀:C₂	central extension (φ=1)	240		C6.80(C2xD20)	480,695
C₆.₈₁(C₂xD₂₀) = C₆xD₄₀	central extension (φ=1)	240		C6.81(C2xD20)	480,696
C₆.₈₂(C₂xD₂₀) = C₃xD₄₀:₇C₂	central extension (φ=1)	240	2	C6.82(C2xD20)	480,697
C₆.₈₃(C₂xD₂₀) = C₆xDic₂₀	central extension (φ=1)	480		C6.83(C2xD20)	480,698
C₆.₈₄(C₂xD₂₀) = C₃xC₈:D₁₀	central extension (φ=1)	120	4	C6.84(C2xD20)	480,701
C₆.₈₅(C₂xD₂₀) = C₃xC₈.D₁₀	central extension (φ=1)	240	4	C6.85(C2xD20)	480,702
C₆.₈₆(C₂xD₂₀) = C₆xC₄:Dic₅	central extension (φ=1)	480		C6.86(C2xD20)	480,718
C₆.₈₇(C₂xD₂₀) = C₆xD₁₀:C₄	central extension (φ=1)	240		C6.87(C2xD20)	480,720
C₆.₈₈(C₂xD₂₀) = C₃xC₂₀:₇D₄	central extension (φ=1)	240		C6.88(C2xD20)	480,723

Extensions 1→N→G→Q→1 with N=C6 and Q=C2xD20

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xD₂₀