Extensions 1→N→G→Q→1 with N=D₄xC₂₂ and Q=C₂

Direct product G=NxQ with N=D₄xC₂₂ and Q=C₂

		d	ρ	Label	ID
D₄xC₂xC₂₂		176		D4xC2xC22	352,189

Semidirect products G=N:Q with N=D₄xC₂₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₂₂):₁C₂ = C₂xD₄:D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22):1C2	352,126
(D₄xC₂₂):₂C₂ = D₄₄:₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88	4	(D4xC22):2C2	352,127
(D₄xC₂₂):₃C₂ = C₄₄:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22):3C2	352,133
(D₄xC₂₂):₄C₂ = C₄₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22):4C2	352,135
(D₄xC₂₂):₅C₂ = C₂xD₄xD₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88		(D4xC22):5C2	352,177
(D₄xC₂₂):₆C₂ = C₂xD₄:₂D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22):6C2	352,178
(D₄xC₂₂):₇C₂ = D₄:₆D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88	4	(D4xC22):7C2	352,179
(D₄xC₂₂):₈C₂ = C₂³:D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88		(D4xC22):8C2	352,132
(D₄xC₂₂):₉C₂ = Dic₁₁:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22):9C2	352,134
(D₄xC₂₂):₁₀C₂ = C₁₁xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88		(D4xC22):10C2	352,155
(D₄xC₂₂):₁₁C₂ = C₁₁xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22):11C2	352,156
(D₄xC₂₂):₁₂C₂ = C₁₁xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22):12C2	352,162
(D₄xC₂₂):₁₃C₂ = D₈xC₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22):13C2	352,167
(D₄xC₂₂):₁₄C₂ = C₁₁xC₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88	4	(D4xC22):14C2	352,171
(D₄xC₂₂):₁₅C₂ = C₁₁x2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88	4	(D4xC22):15C2	352,192
(D₄xC₂₂):₁₆C₂ = C₄oD₄xC₂₂	φ: trivial image	176		(D4xC22):16C2	352,191

Non-split extensions G=N.Q with N=D₄xC₂₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₂₂).₁C₂ = D₄:Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22).1C2	352,38
(D₄xC₂₂).₂C₂ = C₄₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88	4	(D4xC22).2C2	352,39
(D₄xC₂₂).₃C₂ = C₂xD₄.D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22).3C2	352,128
(D₄xC₂₂).₄C₂ = D₄xDic₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22).4C2	352,129
(D₄xC₂₂).₅C₂ = C₄₄.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22).5C2	352,131
(D₄xC₂₂).₆C₂ = C₂³:Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88	4	(D4xC22).6C2	352,40
(D₄xC₂₂).₇C₂ = C₁₁xC₂³:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88	4	(D4xC22).7C2	352,48
(D₄xC₂₂).₈C₂ = C₁₁xC₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	88	4	(D4xC22).8C2	352,49
(D₄xC₂₂).₉C₂ = C₁₁xD₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22).9C2	352,51
(D₄xC₂₂).₁₀C₂ = C₂³.₁₈D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22).10C2	352,130
(D₄xC₂₂).₁₁C₂ = C₁₁xC₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22).11C2	352,158
(D₄xC₂₂).₁₂C₂ = C₁₁xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22).12C2	352,159
(D₄xC₂₂).₁₃C₂ = SD₁₆xC₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₂	176		(D4xC22).13C2	352,168
(D₄xC₂₂).₁₄C₂ = D₄xC₄₄	φ: trivial image	176		(D4xC22).14C2	352,153

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