Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇⋊C₁₂

Direct product G=N×Q with N=C₂² and Q=C₇⋊C₁₂

		d	ρ	Label	ID
C₂²×C₇⋊C₁₂		112		C2^2xC7:C12	336,129

Semidirect products G=N:Q with N=C₂² and Q=C₇⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₇⋊C₁₂) = Dic₇⋊A₄	φ: C₇⋊C₁₂/Dic₇ → C₃ ⊆ Aut C₂²	84	6-	C2^2:(C7:C12)	336,136
C₂²⋊₂(C₇⋊C₁₂) = C₂³.₂F₇	φ: C₇⋊C₁₂/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₂²	56		C2^2:2(C7:C12)	336,22

Non-split extensions G=N.Q with N=C₂² and Q=C₇⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₇⋊C₁₂) = C₂₈.C₁₂	φ: C₇⋊C₁₂/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₂²	56	6	C2^2.(C7:C12)	336,13
C₂².₂(C₇⋊C₁₂) = C₂×C₇⋊C₂₄	central extension (φ=1)	112		C2^2.2(C7:C12)	336,12

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Extensions 1→N→G→Q→1 with N=C22 and Q=C7⋊C12