Extensions 1→N→G→Q→1 with N=C₂×C₁₃⋊C₃ and Q=C₂²

Direct product G=N×Q with N=C₂×C₁₃⋊C₃ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₁₃⋊C₃		104		C2^3xC13:C3	312,55

Semidirect products G=N:Q with N=C₂×C₁₃⋊C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₁₃⋊C₃)⋊C₂² = C₂²×C₁₃⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₁₃⋊C₃	52		(C2xC13:C3):C2^2	312,49

Non-split extensions G=N.Q with N=C₂×C₁₃⋊C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₁₃⋊C₃).₁C₂² = Dic₂₆⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₁₃⋊C₃	104	6-	(C2xC13:C3).1C2^2	312,8
(C₂×C₁₃⋊C₃).₂C₂² = C₄×C₁₃⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₁₃⋊C₃	52	6	(C2xC13:C3).2C2^2	312,9
(C₂×C₁₃⋊C₃).₃C₂² = D₅₂⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₁₃⋊C₃	52	6+	(C2xC13:C3).3C2^2	312,10
(C₂×C₁₃⋊C₃).₄C₂² = C₂×C₂₆.C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₁₃⋊C₃	104		(C2xC13:C3).4C2^2	312,11
(C₂×C₁₃⋊C₃).₅C₂² = D₂₆⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₁₃⋊C₃	52	6	(C2xC13:C3).5C2^2	312,12
(C₂×C₁₃⋊C₃).₆C₂² = C₂×C₄×C₁₃⋊C₃	φ: trivial image	104		(C2xC13:C3).6C2^2	312,22
(C₂×C₁₃⋊C₃).₇C₂² = D₄×C₁₃⋊C₃	φ: trivial image	52	6	(C2xC13:C3).7C2^2	312,23
(C₂×C₁₃⋊C₃).₈C₂² = Q₈×C₁₃⋊C₃	φ: trivial image	104	6	(C2xC13:C3).8C2^2	312,24

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