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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊Dic₇ = C₂×Dic₂₁	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₆	168		C6:Dic7	168,37

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.Dic₇ = C₂₁⋊C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₆	168	2	C6.Dic7	168,5
C₆.₂Dic₇ = C₃×C₇⋊C₈	central extension (φ=1)	168	2	C6.2Dic7	168,4

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