Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×Dic₇

Direct product G=N×Q with N=C₂² and Q=C₃×Dic₇

		d	ρ	Label	ID
C₂×C₆×Dic₇		336		C2xC6xDic7	336,182

Semidirect products G=N:Q with N=C₂² and Q=C₃×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×Dic₇) = A₄×Dic₇	φ: C₃×Dic₇/Dic₇ → C₃ ⊆ Aut C₂²	84	6-	C2^2:(C3xDic7)	336,133
C₂²⋊₂(C₃×Dic₇) = C₃×C₂³.D₇	φ: C₃×Dic₇/C₄₂ → C₂ ⊆ Aut C₂²	168		C2^2:2(C3xDic7)	336,73

Non-split extensions G=N.Q with N=C₂² and Q=C₃×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×Dic₇) = C₃×C₄.Dic₇	φ: C₃×Dic₇/C₄₂ → C₂ ⊆ Aut C₂²	168	2	C2^2.(C3xDic7)	336,64
C₂².₂(C₃×Dic₇) = C₆×C₇⋊C₈	central extension (φ=1)	336		C2^2.2(C3xDic7)	336,63

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×Dic7