Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×Dic₇

Direct product G=N×Q with N=C₄ and Q=C₃×Dic₇

		d	ρ	Label	ID
C₁₂×Dic₇		336		C12xDic7	336,65

Semidirect products G=N:Q with N=C₄ and Q=C₃×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×Dic₇) = C₃×C₄⋊Dic₇	φ: C₃×Dic₇/C₄₂ → C₂ ⊆ Aut C₄	336		C4:(C3xDic7)	336,67

Non-split extensions G=N.Q with N=C₄ and Q=C₃×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×Dic₇) = C₃×C₄.Dic₇	φ: C₃×Dic₇/C₄₂ → C₂ ⊆ Aut C₄	168	2	C4.(C3xDic7)	336,64
C₄.₂(C₃×Dic₇) = C₃×C₇⋊C₁₆	central extension (φ=1)	336	2	C4.2(C3xDic7)	336,4
C₄.₃(C₃×Dic₇) = C₆×C₇⋊C₈	central extension (φ=1)	336		C4.3(C3xDic7)	336,63

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×Dic7