Extensions 1→N→G→Q→1 with N=C₂² and Q=C₁₃⋊C₆

Direct product G=N×Q with N=C₂² and Q=C₁₃⋊C₆

		d	ρ	Label	ID
C₂²×C₁₃⋊C₆		52		C2^2xC13:C6	312,49

Semidirect products G=N:Q with N=C₂² and Q=C₁₃⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₁₃⋊C₆) = D₁₃⋊A₄	φ: C₁₃⋊C₆/D₁₃ → C₃ ⊆ Aut C₂²	52	6+	C2^2:(C13:C6)	312,51
C₂²⋊₂(C₁₃⋊C₆) = D₂₆⋊C₆	φ: C₁₃⋊C₆/C₁₃⋊C₃ → C₂ ⊆ Aut C₂²	52	6	C2^2:2(C13:C6)	312,12

Non-split extensions G=N.Q with N=C₂² and Q=C₁₃⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₁₃⋊C₆) = C₂×C₂₆.C₆	central extension (φ=1)	104		C2^2.(C13:C6)	312,11

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Extensions 1→N→G→Q→1 with N=C22 and Q=C13⋊C6