Extensions 1→N→G→Q→1 with N=C₂²×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₂²×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂³×C₇⋊C₃		56		C2^3xC7:C3	168,51

Semidirect products G=N:Q with N=C₂²×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₇⋊C₃)⋊₁C₂ = Dic₇⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₇⋊C₃	28	6	(C2^2xC7:C3):1C2	168,11
(C₂²×C₇⋊C₃)⋊₂C₂ = C₂²×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₇⋊C₃	28		(C2^2xC7:C3):2C2	168,47
(C₂²×C₇⋊C₃)⋊₃C₂ = D₄×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₇⋊C₃	28	6	(C2^2xC7:C3):3C2	168,20

Non-split extensions G=N.Q with N=C₂²×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₇⋊C₃).C₂ = C₂×C₇⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₇⋊C₃	56		(C2^2xC7:C3).C2	168,10
(C₂²×C₇⋊C₃).₂C₂ = C₂×C₄×C₇⋊C₃	φ: trivial image	56		(C2^2xC7:C3).2C2	168,19

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22×C7⋊C3 and Q=C2