Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×D₁₃

Direct product G=N×Q with N=C₂² and Q=C₃×D₁₃

		d	ρ	Label	ID
C₂×C₆×D₁₃		156		C2xC6xD13	312,58

Semidirect products G=N:Q with N=C₂² and Q=C₃×D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×D₁₃) = A₄×D₁₃	φ: C₃×D₁₃/D₁₃ → C₃ ⊆ Aut C₂²	52	6+	C2^2:(C3xD13)	312,50
C₂²⋊₂(C₃×D₁₃) = C₃×C₁₃⋊D₄	φ: C₃×D₁₃/C₃₉ → C₂ ⊆ Aut C₂²	156	2	C2^2:2(C3xD13)	312,31

Non-split extensions G=N.Q with N=C₂² and Q=C₃×D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×D₁₃) = C₆×Dic₁₃	central extension (φ=1)	312		C2^2.(C3xD13)	312,30

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×D13