Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×Dic₆

Direct product G=N×Q with N=C₇ and Q=C₂×Dic₆

		d	ρ	Label	ID
C₁₄×Dic₆		336		C14xDic6	336,184

Semidirect products G=N:Q with N=C₇ and Q=C₂×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×Dic₆) = D₇×Dic₆	φ: C₂×Dic₆/Dic₆ → C₂ ⊆ Aut C₇	168	4-	C7:1(C2xDic6)	336,137
C₇⋊₂(C₂×Dic₆) = C₂×C₂₁⋊Q₈	φ: C₂×Dic₆/C₂×Dic₃ → C₂ ⊆ Aut C₇	336		C7:2(C2xDic6)	336,160
C₇⋊₃(C₂×Dic₆) = C₂×Dic₄₂	φ: C₂×Dic₆/C₂×C₁₂ → C₂ ⊆ Aut C₇	336		C7:3(C2xDic6)	336,194

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁