Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃xC₁₂

Direct product G=NxQ with N=C₄ and Q=S₃xC₁₂

		d	ρ	Label	ID
S₃xC₄xC₁₂		96		S3xC4xC12	288,642

Semidirect products G=N:Q with N=C₄ and Q=S₃xC₁₂

extension	φ:Q→Aut N	d	Label	ID
C₄:₁(S₃xC₁₂) = C₃xDic₃:₅D₄	φ: S₃xC₁₂/C₃xDic₃ → C₂ ⊆ Aut C₄	96	C4:1(S3xC12)	288,664
C₄:₂(S₃xC₁₂) = C₁₂xD₁₂	φ: S₃xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₄	96	C4:2(S3xC12)	288,644
C₄:₃(S₃xC₁₂) = C₃xS₃xC₄:C₄	φ: S₃xC₁₂/S₃xC₆ → C₂ ⊆ Aut C₄	96	C4:3(S3xC12)	288,662

Non-split extensions G=N.Q with N=C₄ and Q=S₃xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(S₃xC₁₂) = C₃xC₆.D₈	φ: S₃xC₁₂/C₃xDic₃ → C₂ ⊆ Aut C₄	96		C4.1(S3xC12)	288,243
C₄.₂(S₃xC₁₂) = C₃xC₆.SD₁₆	φ: S₃xC₁₂/C₃xDic₃ → C₂ ⊆ Aut C₄	96		C4.2(S3xC12)	288,244
C₄.₃(S₃xC₁₂) = C₃xD₁₂:C₄	φ: S₃xC₁₂/C₃xDic₃ → C₂ ⊆ Aut C₄	48	4	C4.3(S3xC12)	288,259
C₄.₄(S₃xC₁₂) = C₃xDic₆:C₄	φ: S₃xC₁₂/C₃xDic₃ → C₂ ⊆ Aut C₄	96		C4.4(S3xC12)	288,658
C₄.₅(S₃xC₁₂) = C₃xD₁₂.C₄	φ: S₃xC₁₂/C₃xDic₃ → C₂ ⊆ Aut C₄	48	4	C4.5(S3xC12)	288,678
C₄.₆(S₃xC₁₂) = C₃xC₄²:₄S₃	φ: S₃xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₄	24	2	C4.6(S3xC12)	288,239
C₄.₇(S₃xC₁₂) = C₃xC₂.Dic₁₂	φ: S₃xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₄	96		C4.7(S3xC12)	288,250
C₄.₈(S₃xC₁₂) = C₃xC₂.D₂₄	φ: S₃xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₄	96		C4.8(S3xC12)	288,255
C₄.₉(S₃xC₁₂) = C₁₂xDic₆	φ: S₃xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₄	96		C4.9(S3xC12)	288,639
C₄.₁₀(S₃xC₁₂) = C₃xC₈oD₁₂	φ: S₃xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₄	48	2	C4.10(S3xC12)	288,672
C₄.₁₁(S₃xC₁₂) = C₃xC₆.Q₁₆	φ: S₃xC₁₂/S₃xC₆ → C₂ ⊆ Aut C₄	96		C4.11(S3xC12)	288,241
C₄.₁₂(S₃xC₁₂) = C₃xC₁₂.Q₈	φ: S₃xC₁₂/S₃xC₆ → C₂ ⊆ Aut C₄	96		C4.12(S3xC12)	288,242
C₄.₁₃(S₃xC₁₂) = C₃xC₁₂.₅₃D₄	φ: S₃xC₁₂/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.13(S3xC12)	288,256
C₄.₁₄(S₃xC₁₂) = C₃xC₄:C₄:₇S₃	φ: S₃xC₁₂/S₃xC₆ → C₂ ⊆ Aut C₄	96		C4.14(S3xC12)	288,663
C₄.₁₅(S₃xC₁₂) = C₃xS₃xM₄(2)	φ: S₃xC₁₂/S₃xC₆ → C₂ ⊆ Aut C₄	48	4	C4.15(S3xC12)	288,677
C₄.₁₆(S₃xC₁₂) = S₃xC₄₈	central extension (φ=1)	96	2	C4.16(S3xC12)	288,231
C₄.₁₇(S₃xC₁₂) = C₃xD₆.C₈	central extension (φ=1)	96	2	C4.17(S3xC12)	288,232
C₄.₁₈(S₃xC₁₂) = C₁₂xC₃:C₈	central extension (φ=1)	96		C4.18(S3xC12)	288,236
C₄.₁₉(S₃xC₁₂) = C₃xC₄².S₃	central extension (φ=1)	96		C4.19(S3xC12)	288,237
C₄.₂₀(S₃xC₁₂) = Dic₃xC₂₄	central extension (φ=1)	96		C4.20(S3xC12)	288,247
C₄.₂₁(S₃xC₁₂) = C₃xC₂₄:C₄	central extension (φ=1)	96		C4.21(S3xC12)	288,249
C₄.₂₂(S₃xC₁₂) = C₃xC₄²:₂S₃	central extension (φ=1)	96		C4.22(S3xC12)	288,643
C₄.₂₃(S₃xC₁₂) = S₃xC₂xC₂₄	central extension (φ=1)	96		C4.23(S3xC12)	288,670
C₄.₂₄(S₃xC₁₂) = C₆xC₈:S₃	central extension (φ=1)	96		C4.24(S3xC12)	288,671

Extensions 1→N→G→Q→1 with N=C4 and Q=S3xC12

Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃xC₁₂