Extensions 1→N→G→Q→1 with N=C₂² and Q=C₁₃⋊C₄

Direct product G=N×Q with N=C₂² and Q=C₁₃⋊C₄

		d	ρ	Label	ID
C₂²×C₁₃⋊C₄		52		C2^2xC13:C4	208,49

Semidirect products G=N:Q with N=C₂² and Q=C₁₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₁₃⋊C₄) = D₁₃.D₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₂²	52	4+	C2^2:(C13:C4)	208,34

Non-split extensions G=N.Q with N=C₂² and Q=C₁₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₁₃⋊C₄) = C₁₃⋊M₄(2)	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Aut C₂²	104	4-	C2^2.(C13:C4)	208,33
C₂².₂(C₁₃⋊C₄) = C₂×C₁₃⋊C₈	central extension (φ=1)	208		C2^2.2(C13:C4)	208,32

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Extensions 1→N→G→Q→1 with N=C22 and Q=C13⋊C4