Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇×Dic₃

Direct product G=N×Q with N=C₂² and Q=C₇×Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₁₄		336		Dic3xC2xC14	336,192

Semidirect products G=N:Q with N=C₂² and Q=C₇×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₇×Dic₃) = C₇×A₄⋊C₄	φ: C₇×Dic₃/C₁₄ → S₃ ⊆ Aut C₂²	84	3	C2^2:(C7xDic3)	336,117
C₂²⋊₂(C₇×Dic₃) = C₇×C₆.D₄	φ: C₇×Dic₃/C₄₂ → C₂ ⊆ Aut C₂²	168		C2^2:2(C7xDic3)	336,89

Non-split extensions G=N.Q with N=C₂² and Q=C₇×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₇×Dic₃) = C₇×C₄.Dic₃	φ: C₇×Dic₃/C₄₂ → C₂ ⊆ Aut C₂²	168	2	C2^2.(C7xDic3)	336,80
C₂².₂(C₇×Dic₃) = C₁₄×C₃⋊C₈	central extension (φ=1)	336		C2^2.2(C7xDic3)	336,79

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Extensions 1→N→G→Q→1 with N=C22 and Q=C7×Dic3