Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×Dic₇

Direct product G=N×Q with N=C₆ and Q=C₂×Dic₇

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

Semidirect products G=N:Q with N=C₆ and Q=C₂×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₂×Dic₇) = C₂×S₃×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₆	168		C6:1(C2xDic7)	336,154
C₆⋊₂(C₂×Dic₇) = C₂²×Dic₂₁	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	336		C6:2(C2xDic7)	336,202

Non-split extensions G=N.Q with N=C₆ and Q=C₂×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂×Dic₇) = S₃×C₇⋊C₈	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₆	168	4	C6.1(C2xDic7)	336,24
C₆.₂(C₂×Dic₇) = D₆.Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₆	168	4	C6.2(C2xDic7)	336,27
C₆.₃(C₂×Dic₇) = Dic₃×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₆	336		C6.3(C2xDic7)	336,41
C₆.₄(C₂×Dic₇) = D₆⋊Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₆	168		C6.4(C2xDic7)	336,43
C₆.₅(C₂×Dic₇) = C₁₄.Dic₆	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₆	336		C6.5(C2xDic7)	336,47
C₆.₆(C₂×Dic₇) = C₂×C₂₁⋊C₈	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	336		C6.6(C2xDic7)	336,95
C₆.₇(C₂×Dic₇) = C₈₄.C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168	2	C6.7(C2xDic7)	336,96
C₆.₈(C₂×Dic₇) = C₄×Dic₂₁	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	336		C6.8(C2xDic7)	336,97
C₆.₉(C₂×Dic₇) = C₈₄⋊C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	336		C6.9(C2xDic7)	336,99
C₆.₁₀(C₂×Dic₇) = C₄₂.₃₈D₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168		C6.10(C2xDic7)	336,105
C₆.₁₁(C₂×Dic₇) = C₆×C₇⋊C₈	central extension (φ=1)	336		C6.11(C2xDic7)	336,63
C₆.₁₂(C₂×Dic₇) = C₃×C₄.Dic₇	central extension (φ=1)	168	2	C6.12(C2xDic7)	336,64
C₆.₁₃(C₂×Dic₇) = C₁₂×Dic₇	central extension (φ=1)	336		C6.13(C2xDic7)	336,65
C₆.₁₄(C₂×Dic₇) = C₃×C₄⋊Dic₇	central extension (φ=1)	336		C6.14(C2xDic7)	336,67
C₆.₁₅(C₂×Dic₇) = C₃×C₂³.D₇	central extension (φ=1)	168		C6.15(C2xDic7)	336,73

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