Extensions 1→N→G→Q→1 with N=C₂xC₂₂ and Q=C₂²

Direct product G=NxQ with N=C₂xC₂₂ and Q=C₂²

		d	ρ	Label	ID
C₂³xC₂₂		176		C2^3xC22	176,42

Semidirect products G=N:Q with N=C₂xC₂₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₂):C₂² = D₄xD₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₂xC₂₂	44	4+	(C2xC22):C2^2	176,31
(C₂xC₂₂):₂C₂² = D₄xC₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	88		(C2xC22):2C2^2	176,38
(C₂xC₂₂):₃C₂² = C₂xC₁₁:D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	88		(C2xC22):3C2^2	176,36
(C₂xC₂₂):₄C₂² = C₂³xD₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	88		(C2xC22):4C2^2	176,41

Non-split extensions G=N.Q with N=C₂xC₂₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₂).C₂² = D₄:₂D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₂xC₂₂	88	4-	(C2xC22).C2^2	176,32
(C₂xC₂₂).₂C₂² = C₁₁xC₄oD₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	88	2	(C2xC22).2C2^2	176,40
(C₂xC₂₂).₃C₂² = C₄xDic₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	176		(C2xC22).3C2^2	176,10
(C₂xC₂₂).₄C₂² = Dic₁₁:C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	176		(C2xC22).4C2^2	176,11
(C₂xC₂₂).₅C₂² = C₄₄:C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	176		(C2xC22).5C2^2	176,12
(C₂xC₂₂).₆C₂² = D₂₂:C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	88		(C2xC22).6C2^2	176,13
(C₂xC₂₂).₇C₂² = C₂³.D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	88		(C2xC22).7C2^2	176,18
(C₂xC₂₂).₈C₂² = C₂xDic₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	176		(C2xC22).8C2^2	176,27
(C₂xC₂₂).₉C₂² = C₂xC₄xD₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	88		(C2xC22).9C2^2	176,28
(C₂xC₂₂).₁₀C₂² = C₂xD₄₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	88		(C2xC22).10C2^2	176,29
(C₂xC₂₂).₁₁C₂² = D₄₄:₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	88	2	(C2xC22).11C2^2	176,30
(C₂xC₂₂).₁₂C₂² = C₂²xDic₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₂₂	176		(C2xC22).12C2^2	176,35
(C₂xC₂₂).₁₃C₂² = C₁₁xC₂²:C₄	central extension (φ=1)	88		(C2xC22).13C2^2	176,20
(C₂xC₂₂).₁₄C₂² = C₁₁xC₄:C₄	central extension (φ=1)	176		(C2xC22).14C2^2	176,21
(C₂xC₂₂).₁₅C₂² = Q₈xC₂₂	central extension (φ=1)	176		(C2xC22).15C2^2	176,39

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