Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃xC₂xC₆

Direct product G=NxQ with N=C₄ and Q=S₃xC₂xC₆

		d	ρ	Label	ID
S₃xC₂²xC₁₂		96		S3xC2^2xC12	288,989

Semidirect products G=N:Q with N=C₄ and Q=S₃xC₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(S₃xC₂xC₆) = S₃xC₆xD₄	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48		C4:1(S3xC2xC6)	288,992
C₄:₂(S₃xC₂xC₆) = C₂xC₆xD₁₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	96		C4:2(S3xC2xC6)	288,990

Non-split extensions G=N.Q with N=C₄ and Q=S₃xC₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(S₃xC₂xC₆) = C₃xS₃xD₈	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.1(S3xC2xC6)	288,681
C₄.₂(S₃xC₂xC₆) = C₃xD₈:S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.2(S3xC2xC6)	288,682
C₄.₃(S₃xC₂xC₆) = C₃xD₈:₃S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.3(S3xC2xC6)	288,683
C₄.₄(S₃xC₂xC₆) = C₃xS₃xSD₁₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.4(S3xC2xC6)	288,684
C₄.₅(S₃xC₂xC₆) = C₃xQ₈:₃D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.5(S3xC2xC6)	288,685
C₄.₆(S₃xC₂xC₆) = C₃xD₄.D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.6(S3xC2xC6)	288,686
C₄.₇(S₃xC₂xC₆) = C₃xQ₈.₇D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.7(S3xC2xC6)	288,687
C₄.₈(S₃xC₂xC₆) = C₃xS₃xQ₁₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	96	4	C4.8(S3xC2xC6)	288,688
C₄.₉(S₃xC₂xC₆) = C₃xQ₁₆:S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	96	4	C4.9(S3xC2xC6)	288,689
C₄.₁₀(S₃xC₂xC₆) = C₃xD₂₄:C₂	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	96	4	C4.10(S3xC2xC6)	288,690
C₄.₁₁(S₃xC₂xC₆) = C₆xD₄:S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48		C4.11(S3xC2xC6)	288,702
C₄.₁₂(S₃xC₂xC₆) = C₃xD₁₂:₆C₂²	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	24	4	C4.12(S3xC2xC6)	288,703
C₄.₁₃(S₃xC₂xC₆) = C₆xD₄.S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48		C4.13(S3xC2xC6)	288,704
C₄.₁₄(S₃xC₂xC₆) = C₆xQ₈:₂S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	96		C4.14(S3xC2xC6)	288,712
C₄.₁₅(S₃xC₂xC₆) = C₃xQ₈.₁₁D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.15(S3xC2xC6)	288,713
C₄.₁₆(S₃xC₂xC₆) = C₆xC₃:Q₁₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	96		C4.16(S3xC2xC6)	288,714
C₄.₁₇(S₃xC₂xC₆) = C₃xD₄:D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.17(S3xC2xC6)	288,720
C₄.₁₈(S₃xC₂xC₆) = C₃xQ₈.₁₃D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.18(S3xC2xC6)	288,721
C₄.₁₉(S₃xC₂xC₆) = C₃xQ₈.₁₄D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.19(S3xC2xC6)	288,722
C₄.₂₀(S₃xC₂xC₆) = C₆xD₄:₂S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48		C4.20(S3xC2xC6)	288,993
C₄.₂₁(S₃xC₂xC₆) = C₃xD₄:₆D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	24	4	C4.21(S3xC2xC6)	288,994
C₄.₂₂(S₃xC₂xC₆) = S₃xC₆xQ₈	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	96		C4.22(S3xC2xC6)	288,995
C₄.₂₃(S₃xC₂xC₆) = C₆xQ₈:₃S₃	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	96		C4.23(S3xC2xC6)	288,996
C₄.₂₄(S₃xC₂xC₆) = C₃xQ₈.₁₅D₆	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.24(S3xC2xC6)	288,997
C₄.₂₅(S₃xC₂xC₆) = C₃xS₃xC₄oD₄	φ: S₃xC₂xC₆/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.25(S3xC2xC6)	288,998
C₄.₂₆(S₃xC₂xC₆) = C₆xC₂₄:C₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	96		C4.26(S3xC2xC6)	288,673
C₄.₂₇(S₃xC₂xC₆) = C₆xD₂₄	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	96		C4.27(S3xC2xC6)	288,674
C₄.₂₈(S₃xC₂xC₆) = C₃xC₄oD₂₄	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	48	2	C4.28(S3xC2xC6)	288,675
C₄.₂₉(S₃xC₂xC₆) = C₆xDic₁₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	96		C4.29(S3xC2xC6)	288,676
C₄.₃₀(S₃xC₂xC₆) = C₃xC₈:D₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	48	4	C4.30(S3xC2xC6)	288,679
C₄.₃₁(S₃xC₂xC₆) = C₃xC₈.D₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	48	4	C4.31(S3xC2xC6)	288,680
C₄.₃₂(S₃xC₂xC₆) = C₂xC₆xDic₆	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	96		C4.32(S3xC2xC6)	288,988
C₄.₃₃(S₃xC₂xC₆) = C₃xD₄oD₁₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	48	4	C4.33(S3xC2xC6)	288,999
C₄.₃₄(S₃xC₂xC₆) = C₃xQ₈oD₁₂	φ: S₃xC₂xC₆/C₆² → C₂ ⊆ Aut C₄	48	4	C4.34(S3xC2xC6)	288,1000
C₄.₃₅(S₃xC₂xC₆) = S₃xC₂xC₂₄	central extension (φ=1)	96		C4.35(S3xC2xC6)	288,670
C₄.₃₆(S₃xC₂xC₆) = C₆xC₈:S₃	central extension (φ=1)	96		C4.36(S3xC2xC6)	288,671
C₄.₃₇(S₃xC₂xC₆) = C₃xC₈oD₁₂	central extension (φ=1)	48	2	C4.37(S3xC2xC6)	288,672
C₄.₃₈(S₃xC₂xC₆) = C₃xS₃xM₄(2)	central extension (φ=1)	48	4	C4.38(S3xC2xC6)	288,677
C₄.₃₉(S₃xC₂xC₆) = C₃xD₁₂.C₄	central extension (φ=1)	48	4	C4.39(S3xC2xC6)	288,678
C₄.₄₀(S₃xC₂xC₆) = C₂xC₆xC₃:C₈	central extension (φ=1)	96		C4.40(S3xC2xC6)	288,691
C₄.₄₁(S₃xC₂xC₆) = C₆xC₄.Dic₃	central extension (φ=1)	48		C4.41(S3xC2xC6)	288,692
C₄.₄₂(S₃xC₂xC₆) = C₃xD₄.Dic₃	central extension (φ=1)	48	4	C4.42(S3xC2xC6)	288,719
C₄.₄₃(S₃xC₂xC₆) = C₆xC₄oD₁₂	central extension (φ=1)	48		C4.43(S3xC2xC6)	288,991

Extensions 1→N→G→Q→1 with N=C4 and Q=S3xC2xC6

Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃xC₂xC₆