Extensions 1→N→G→Q→1 with N=D₁₃ and Q=C₄⋊C₄

Direct product G=N×Q with N=D₁₃ and Q=C₄⋊C₄

		d	ρ	Label	ID
C₄⋊C₄×D₁₃		208		C4:C4xD13	416,112

Semidirect products G=N:Q with N=D₁₃ and Q=C₄⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₃⋊(C₄⋊C₄) = C₂×C₅₂⋊C₄	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Out D₁₃	104		D13:(C4:C4)	416,203

Non-split extensions G=N.Q with N=D₁₃ and Q=C₄⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₃.(C₄⋊C₄) = D₂₆.Q₈	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Out D₁₃	104		D13.(C4:C4)	416,81

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D13 and Q=C4⋊C4