Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃xC₂xC₆

Direct product G=NxQ with N=C₂² and Q=S₃xC₂xC₆

		d	ρ	Label	ID
S₃xC₂³xC₆		96		S3xC2^3xC6	288,1043

Semidirect products G=N:Q with N=C₂² and Q=S₃xC₂xC₆

extension	φ:Q→Aut N	d	Label	ID
C₂²:(S₃xC₂xC₆) = C₂xC₆xS₄	φ: S₃xC₂xC₆/C₂xC₆ → S₃ ⊆ Aut C₂²	36	C2^2:(S3xC2xC6)	288,1033
C₂²:₂(S₃xC₂xC₆) = C₂²xS₃xA₄	φ: S₃xC₂xC₆/C₂²xS₃ → C₃ ⊆ Aut C₂²	36	C2^2:2(S3xC2xC6)	288,1037
C₂²:₃(S₃xC₂xC₆) = S₃xC₆xD₄	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₂²	48	C2^2:3(S3xC2xC6)	288,992
C₂²:₄(S₃xC₂xC₆) = C₂xC₆xC₃:D₄	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₂²	48	C2^2:4(S3xC2xC6)	288,1002

Non-split extensions G=N.Q with N=C₂² and Q=S₃xC₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(S₃xC₂xC₆) = C₆xD₄:₂S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₂²	48		C2^2.1(S3xC2xC6)	288,993
C₂².₂(S₃xC₂xC₆) = C₃xS₃xC₄oD₄	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₂²	48	4	C2^2.2(S3xC2xC6)	288,998
C₂².₃(S₃xC₂xC₆) = C₃xD₄oD₁₂	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₂²	48	4	C2^2.3(S3xC2xC6)	288,999
C₂².₄(S₃xC₂xC₆) = C₃xQ₈oD₁₂	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₂²	48	4	C2^2.4(S3xC2xC6)	288,1000
C₂².₅(S₃xC₂xC₆) = C₆xC₄oD₁₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₂²	48		C2^2.5(S3xC2xC6)	288,991
C₂².₆(S₃xC₂xC₆) = C₃xD₄:₆D₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₂²	24	4	C2^2.6(S3xC2xC6)	288,994
C₂².₇(S₃xC₂xC₆) = C₃xQ₈.₁₅D₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₂²	48	4	C2^2.7(S3xC2xC6)	288,997
C₂².₈(S₃xC₂xC₆) = C₁₂xDic₆	central extension (φ=1)	96		C2^2.8(S3xC2xC6)	288,639
C₂².₉(S₃xC₂xC₆) = S₃xC₄xC₁₂	central extension (φ=1)	96		C2^2.9(S3xC2xC6)	288,642
C₂².₁₀(S₃xC₂xC₆) = C₃xC₄²:₂S₃	central extension (φ=1)	96		C2^2.10(S3xC2xC6)	288,643
C₂².₁₁(S₃xC₂xC₆) = C₁₂xD₁₂	central extension (φ=1)	96		C2^2.11(S3xC2xC6)	288,644
C₂².₁₂(S₃xC₂xC₆) = C₃xC₂³.₁₆D₆	central extension (φ=1)	48		C2^2.12(S3xC2xC6)	288,648
C₂².₁₃(S₃xC₂xC₆) = C₃xS₃xC₂²:C₄	central extension (φ=1)	48		C2^2.13(S3xC2xC6)	288,651
C₂².₁₄(S₃xC₂xC₆) = C₃xDic₃:₄D₄	central extension (φ=1)	48		C2^2.14(S3xC2xC6)	288,652
C₂².₁₅(S₃xC₂xC₆) = C₃xDic₆:C₄	central extension (φ=1)	96		C2^2.15(S3xC2xC6)	288,658
C₂².₁₆(S₃xC₂xC₆) = C₃xS₃xC₄:C₄	central extension (φ=1)	96		C2^2.16(S3xC2xC6)	288,662
C₂².₁₇(S₃xC₂xC₆) = C₃xC₄:C₄:₇S₃	central extension (φ=1)	96		C2^2.17(S3xC2xC6)	288,663
C₂².₁₈(S₃xC₂xC₆) = C₃xDic₃:₅D₄	central extension (φ=1)	96		C2^2.18(S3xC2xC6)	288,664
C₂².₁₉(S₃xC₂xC₆) = Dic₃xC₂xC₁₂	central extension (φ=1)	96		C2^2.19(S3xC2xC6)	288,693
C₂².₂₀(S₃xC₂xC₆) = C₆xDic₃:C₄	central extension (φ=1)	96		C2^2.20(S3xC2xC6)	288,694
C₂².₂₁(S₃xC₂xC₆) = C₆xC₄:Dic₃	central extension (φ=1)	96		C2^2.21(S3xC2xC6)	288,696
C₂².₂₂(S₃xC₂xC₆) = C₃xC₂³.₂₆D₆	central extension (φ=1)	48		C2^2.22(S3xC2xC6)	288,697
C₂².₂₃(S₃xC₂xC₆) = C₆xD₆:C₄	central extension (φ=1)	96		C2^2.23(S3xC2xC6)	288,698
C₂².₂₄(S₃xC₂xC₆) = C₁₂xC₃:D₄	central extension (φ=1)	48		C2^2.24(S3xC2xC6)	288,699
C₂².₂₅(S₃xC₂xC₆) = C₃xD₄xDic₃	central extension (φ=1)	48		C2^2.25(S3xC2xC6)	288,705
C₂².₂₆(S₃xC₂xC₆) = C₃xQ₈xDic₃	central extension (φ=1)	96		C2^2.26(S3xC2xC6)	288,716
C₂².₂₇(S₃xC₂xC₆) = C₆xC₆.D₄	central extension (φ=1)	48		C2^2.27(S3xC2xC6)	288,723
C₂².₂₈(S₃xC₂xC₆) = C₂xC₆xDic₆	central extension (φ=1)	96		C2^2.28(S3xC2xC6)	288,988
C₂².₂₉(S₃xC₂xC₆) = S₃xC₂²xC₁₂	central extension (φ=1)	96		C2^2.29(S3xC2xC6)	288,989
C₂².₃₀(S₃xC₂xC₆) = C₂xC₆xD₁₂	central extension (φ=1)	96		C2^2.30(S3xC2xC6)	288,990
C₂².₃₁(S₃xC₂xC₆) = S₃xC₆xQ₈	central extension (φ=1)	96		C2^2.31(S3xC2xC6)	288,995
C₂².₃₂(S₃xC₂xC₆) = C₆xQ₈:₃S₃	central extension (φ=1)	96		C2^2.32(S3xC2xC6)	288,996
C₂².₃₃(S₃xC₂xC₆) = Dic₃xC₂²xC₆	central extension (φ=1)	96		C2^2.33(S3xC2xC6)	288,1001
C₂².₃₄(S₃xC₂xC₆) = C₃xC₁₂:₂Q₈	central stem extension (φ=1)	96		C2^2.34(S3xC2xC6)	288,640
C₂².₃₅(S₃xC₂xC₆) = C₃xC₁₂.₆Q₈	central stem extension (φ=1)	96		C2^2.35(S3xC2xC6)	288,641
C₂².₃₆(S₃xC₂xC₆) = C₃xC₄:D₁₂	central stem extension (φ=1)	96		C2^2.36(S3xC2xC6)	288,645
C₂².₃₇(S₃xC₂xC₆) = C₃xC₄²:₇S₃	central stem extension (φ=1)	96		C2^2.37(S3xC2xC6)	288,646
C₂².₃₈(S₃xC₂xC₆) = C₃xC₄²:₃S₃	central stem extension (φ=1)	96		C2^2.38(S3xC2xC6)	288,647
C₂².₃₉(S₃xC₂xC₆) = C₃xDic₃.D₄	central stem extension (φ=1)	48		C2^2.39(S3xC2xC6)	288,649
C₂².₄₀(S₃xC₂xC₆) = C₃xC₂³.₈D₆	central stem extension (φ=1)	48		C2^2.40(S3xC2xC6)	288,650
C₂².₄₁(S₃xC₂xC₆) = C₃xD₆:D₄	central stem extension (φ=1)	48		C2^2.41(S3xC2xC6)	288,653
C₂².₄₂(S₃xC₂xC₆) = C₃xC₂³.₉D₆	central stem extension (φ=1)	48		C2^2.42(S3xC2xC6)	288,654
C₂².₄₃(S₃xC₂xC₆) = C₃xDic₃:D₄	central stem extension (φ=1)	48		C2^2.43(S3xC2xC6)	288,655
C₂².₄₄(S₃xC₂xC₆) = C₃xC₂³.₁₁D₆	central stem extension (φ=1)	48		C2^2.44(S3xC2xC6)	288,656
C₂².₄₅(S₃xC₂xC₆) = C₃xC₂³.₂₁D₆	central stem extension (φ=1)	48		C2^2.45(S3xC2xC6)	288,657
C₂².₄₆(S₃xC₂xC₆) = C₃xC₁₂:Q₈	central stem extension (φ=1)	96		C2^2.46(S3xC2xC6)	288,659
C₂².₄₇(S₃xC₂xC₆) = C₃xDic₃.Q₈	central stem extension (φ=1)	96		C2^2.47(S3xC2xC6)	288,660
C₂².₄₈(S₃xC₂xC₆) = C₃xC₄.Dic₆	central stem extension (φ=1)	96		C2^2.48(S3xC2xC6)	288,661
C₂².₄₉(S₃xC₂xC₆) = C₃xD₆.D₄	central stem extension (φ=1)	96		C2^2.49(S3xC2xC6)	288,665
C₂².₅₀(S₃xC₂xC₆) = C₃xC₁₂:D₄	central stem extension (φ=1)	96		C2^2.50(S3xC2xC6)	288,666
C₂².₅₁(S₃xC₂xC₆) = C₃xD₆:Q₈	central stem extension (φ=1)	96		C2^2.51(S3xC2xC6)	288,667
C₂².₅₂(S₃xC₂xC₆) = C₃xC₄.D₁₂	central stem extension (φ=1)	96		C2^2.52(S3xC2xC6)	288,668
C₂².₅₃(S₃xC₂xC₆) = C₃xC₄:C₄:S₃	central stem extension (φ=1)	96		C2^2.53(S3xC2xC6)	288,669
C₂².₅₄(S₃xC₂xC₆) = C₃xC₁₂.₄₈D₄	central stem extension (φ=1)	48		C2^2.54(S3xC2xC6)	288,695
C₂².₅₅(S₃xC₂xC₆) = C₃xC₂³.₂₈D₆	central stem extension (φ=1)	48		C2^2.55(S3xC2xC6)	288,700
C₂².₅₆(S₃xC₂xC₆) = C₃xC₁₂:₇D₄	central stem extension (φ=1)	48		C2^2.56(S3xC2xC6)	288,701
C₂².₅₇(S₃xC₂xC₆) = C₃xC₂³.₂₃D₆	central stem extension (φ=1)	48		C2^2.57(S3xC2xC6)	288,706
C₂².₅₈(S₃xC₂xC₆) = C₃xC₂³.₁₂D₆	central stem extension (φ=1)	48		C2^2.58(S3xC2xC6)	288,707
C₂².₅₉(S₃xC₂xC₆) = C₃xC₂³:₂D₆	central stem extension (φ=1)	48		C2^2.59(S3xC2xC6)	288,708
C₂².₆₀(S₃xC₂xC₆) = C₃xD₆:₃D₄	central stem extension (φ=1)	48		C2^2.60(S3xC2xC6)	288,709
C₂².₆₁(S₃xC₂xC₆) = C₃xC₂³.₁₄D₆	central stem extension (φ=1)	48		C2^2.61(S3xC2xC6)	288,710
C₂².₆₂(S₃xC₂xC₆) = C₃xC₁₂:₃D₄	central stem extension (φ=1)	48		C2^2.62(S3xC2xC6)	288,711
C₂².₆₃(S₃xC₂xC₆) = C₃xDic₃:Q₈	central stem extension (φ=1)	96		C2^2.63(S3xC2xC6)	288,715
C₂².₆₄(S₃xC₂xC₆) = C₃xD₆:₃Q₈	central stem extension (φ=1)	96		C2^2.64(S3xC2xC6)	288,717
C₂².₆₅(S₃xC₂xC₆) = C₃xC₁₂.₂₃D₄	central stem extension (φ=1)	96		C2^2.65(S3xC2xC6)	288,718
C₂².₆₆(S₃xC₂xC₆) = C₃xC₂⁴:₄S₃	central stem extension (φ=1)	24		C2^2.66(S3xC2xC6)	288,724

Extensions 1→N→G→Q→1 with N=C22 and Q=S3xC2xC6

Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃xC₂xC₆