Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₁₃⋊C₃

Direct product G=N×Q with N=C₄ and Q=C₂×C₁₃⋊C₃

		d	ρ	Label	ID
C₂×C₄×C₁₃⋊C₃		104		C2xC4xC13:C3	312,22

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₁₃⋊C₃) = D₄×C₁₃⋊C₃	φ: C₂×C₁₃⋊C₃/C₁₃⋊C₃ → C₂ ⊆ Aut C₄	52	6	C4:(C2xC13:C3)	312,23

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂×C₁₃⋊C₃) = Q₈×C₁₃⋊C₃	φ: C₂×C₁₃⋊C₃/C₁₃⋊C₃ → C₂ ⊆ Aut C₄	104	6	C4.(C2xC13:C3)	312,24
C₄.₂(C₂×C₁₃⋊C₃) = C₈×C₁₃⋊C₃	central extension (φ=1)	104	3	C4.2(C2xC13:C3)	312,2

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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C13⋊C3