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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₁₃⋊C₃) = C₂×C₁₃⋊A₄	φ: C₂×C₁₃⋊C₃/C₂₆ → C₃ ⊆ Aut C₂²	78	3	C2^2:(C2xC13:C3)	312,57
C₂²⋊₂(C₂×C₁₃⋊C₃) = D₄×C₁₃⋊C₃	φ: C₂×C₁₃⋊C₃/C₁₃⋊C₃ → C₂ ⊆ Aut C₂²	52	6	C2^2:2(C2xC13:C3)	312,23

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₁₃⋊C₃) = C₂×C₄×C₁₃⋊C₃	central extension (φ=1)	104		C2^2.(C2xC13:C3)	312,22

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