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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁Dic₇ = C₃×C₂³.D₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₆	168		(C2xC6):1Dic7	336,73
(C₂×C₆)⋊₂Dic₇ = C₄₂.₃₈D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₆	168		(C2xC6):2Dic7	336,105
(C₂×C₆)⋊₃Dic₇ = C₂²×Dic₂₁	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₆	336		(C2xC6):3Dic7	336,202

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁Dic₇ = C₃×C₄.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₆	168	2	(C2xC6).1Dic7	336,64
(C₂×C₆).₂Dic₇ = C₂×C₂₁⋊C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₆	336		(C2xC6).2Dic7	336,95
(C₂×C₆).₃Dic₇ = C₈₄.C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₆	168	2	(C2xC6).3Dic7	336,96
(C₂×C₆).₄Dic₇ = C₆×C₇⋊C₈	central extension (φ=1)	336		(C2xC6).4Dic7	336,63

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁