Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xDic₇

Direct product G=NxQ with N=C₆ and Q=C₂xDic₇

		d	ρ	Label	ID
C₂xC₆xDic₇		336		C2xC6xDic7	336,182

Semidirect products G=N:Q with N=C₆ and Q=C₂xDic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(C₂xDic₇) = C₂xS₃xDic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Aut C₆	168		C6:1(C2xDic7)	336,154
C₆:₂(C₂xDic₇) = C₂²xDic₂₁	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Aut C₆	336		C6:2(C2xDic7)	336,202

Non-split extensions G=N.Q with N=C₆ and Q=C₂xDic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xDic₇) = S₃xC₇:C₈	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Aut C₆	168	4	C6.1(C2xDic7)	336,24
C₆.₂(C₂xDic₇) = D₆.Dic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Aut C₆	168	4	C6.2(C2xDic7)	336,27
C₆.₃(C₂xDic₇) = Dic₃xDic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Aut C₆	336		C6.3(C2xDic7)	336,41
C₆.₄(C₂xDic₇) = D₆:Dic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Aut C₆	168		C6.4(C2xDic7)	336,43
C₆.₅(C₂xDic₇) = C₁₄.Dic₆	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Aut C₆	336		C6.5(C2xDic7)	336,47
C₆.₆(C₂xDic₇) = C₂xC₂₁:C₈	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Aut C₆	336		C6.6(C2xDic7)	336,95
C₆.₇(C₂xDic₇) = C₈₄.C₄	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Aut C₆	168	2	C6.7(C2xDic7)	336,96
C₆.₈(C₂xDic₇) = C₄xDic₂₁	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Aut C₆	336		C6.8(C2xDic7)	336,97
C₆.₉(C₂xDic₇) = C₈₄:C₄	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Aut C₆	336		C6.9(C2xDic7)	336,99
C₆.₁₀(C₂xDic₇) = C₄₂.₃₈D₄	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Aut C₆	168		C6.10(C2xDic7)	336,105
C₆.₁₁(C₂xDic₇) = C₆xC₇:C₈	central extension (φ=1)	336		C6.11(C2xDic7)	336,63
C₆.₁₂(C₂xDic₇) = C₃xC₄.Dic₇	central extension (φ=1)	168	2	C6.12(C2xDic7)	336,64
C₆.₁₃(C₂xDic₇) = C₁₂xDic₇	central extension (φ=1)	336		C6.13(C2xDic7)	336,65
C₆.₁₄(C₂xDic₇) = C₃xC₄:Dic₇	central extension (φ=1)	336		C6.14(C2xDic7)	336,67
C₆.₁₅(C₂xDic₇) = C₃xC₂³.D₇	central extension (φ=1)	168		C6.15(C2xDic7)	336,73

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