Extensions 1→N→G→Q→1 with N=C₂xC₁₃:C₃ and Q=C₂²

Direct product G=NxQ with N=C₂xC₁₃:C₃ and Q=C₂²

		d	ρ	Label	ID
C₂³xC₁₃:C₃		104		C2^3xC13:C3	312,55

Semidirect products G=N:Q with N=C₂xC₁₃:C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₁₃:C₃):C₂² = C₂²xC₁₃:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₃:C₃	52		(C2xC13:C3):C2^2	312,49

Non-split extensions G=N.Q with N=C₂xC₁₃:C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₁₃:C₃).₁C₂² = Dic₂₆:C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₃:C₃	104	6-	(C2xC13:C3).1C2^2	312,8
(C₂xC₁₃:C₃).₂C₂² = C₄xC₁₃:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₃:C₃	52	6	(C2xC13:C3).2C2^2	312,9
(C₂xC₁₃:C₃).₃C₂² = D₅₂:C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₃:C₃	52	6+	(C2xC13:C3).3C2^2	312,10
(C₂xC₁₃:C₃).₄C₂² = C₂xC₂₆.C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₃:C₃	104		(C2xC13:C3).4C2^2	312,11
(C₂xC₁₃:C₃).₅C₂² = D₂₆:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₁₃:C₃	52	6	(C2xC13:C3).5C2^2	312,12
(C₂xC₁₃:C₃).₆C₂² = C₂xC₄xC₁₃:C₃	φ: trivial image	104		(C2xC13:C3).6C2^2	312,22
(C₂xC₁₃:C₃).₇C₂² = D₄xC₁₃:C₃	φ: trivial image	52	6	(C2xC13:C3).7C2^2	312,23
(C₂xC₁₃:C₃).₈C₂² = Q₈xC₁₃:C₃	φ: trivial image	104	6	(C2xC13:C3).8C2^2	312,24

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