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

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

		d	ρ	Label	ID
C₆×Dic₇		168		C6xDic7	168,27

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊C₆ = Dic₇⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₇	28	6	Dic7:C6	168,11
Dic₇⋊₂C₆ = C₄×F₇	φ: C₆/C₂ → C₃ ⊆ Out Dic₇	28	6	Dic7:2C6	168,8
Dic₇⋊₃C₆ = C₂×C₇⋊C₁₂	φ: C₆/C₂ → C₃ ⊆ Out Dic₇	56		Dic7:3C6	168,10
Dic₇⋊₄C₆ = C₃×C₇⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₇	84	2	Dic7:4C6	168,28
Dic₇⋊₅C₆ = C₁₂×D₇	φ: trivial image	84	2	Dic7:5C6	168,25

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.C₆ = C₄.F₇	φ: C₆/C₁ → C₆ ⊆ Out Dic₇	56	6-	Dic7.C6	168,7
Dic₇.₂C₆ = C₃×Dic₁₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₇	168	2	Dic7.2C6	168,24

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