Extensions 1→N→G→Q→1 with N=C₂²×D₇ and Q=C₂

Direct product G=N×Q with N=C₂²×D₇ and Q=C₂

		d	ρ	Label	ID
C₂³×D₇		56		C2^3xD7	112,42

Semidirect products G=N:Q with N=C₂²×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇)⋊₁C₂ = C₂×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₇	56		(C2^2xD7):1C2	112,29
(C₂²×D₇)⋊₂C₂ = D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₇	28	4+	(C2^2xD7):2C2	112,31
(C₂²×D₇)⋊₃C₂ = C₂×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₇	56		(C2^2xD7):3C2	112,36

Non-split extensions G=N.Q with N=C₂²×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇).C₂ = D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₇	56		(C2^2xD7).C2	112,13
(C₂²×D₇).₂C₂ = C₂×C₄×D₇	φ: trivial image	56		(C2^2xD7).2C2	112,28

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22×D7 and Q=C2