Extensions 1→N→G→Q→1 with N=D₁₃ and Q=C₂×D₄

Direct product G=N×Q with N=D₁₃ and Q=C₂×D₄

		d	ρ	Label	ID
C₂×D₄×D₁₃		104		C2xD4xD13	416,216

Non-split extensions G=N.Q with N=D₁₃ and Q=C₂×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₃.₁(C₂×D₄) = C₂×C₅₂⋊C₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Out D₁₃	104		D13.1(C2xD4)	416,203
D₁₃.₂(C₂×D₄) = D₄×C₁₃⋊C₄	φ: C₂×D₄/D₄ → C₂ ⊆ Out D₁₃	52	8+	D13.2(C2xD4)	416,206
D₁₃.₃(C₂×D₄) = C₂×D₁₃.D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Out D₁₃	104		D13.3(C2xD4)	416,211

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁