Extensions 1→N→G→Q→1 with N=C₇×C₂₁ and Q=C₂

Direct product G=N×Q with N=C₇×C₂₁ and Q=C₂

		d	ρ	Label	ID
C₇×C₄₂		294		C7xC42	294,23

Semidirect products G=N:Q with N=C₇×C₂₁ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇×C₂₁)⋊₁C₂ = C₇⋊D₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₁	147		(C7xC21):1C2	294,22
(C₇×C₂₁)⋊₂C₂ = C₇×D₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₁	42	2	(C7xC21):2C2	294,21
(C₇×C₂₁)⋊₃C₂ = D₇×C₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₁	42	2	(C7xC21):3C2	294,18
(C₇×C₂₁)⋊₄C₂ = C₃×C₇⋊D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₁	147		(C7xC21):4C2	294,19
(C₇×C₂₁)⋊₅C₂ = S₃×C₇²	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₁	147		(C7xC21):5C2	294,20

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁