Extensions 1→N→G→Q→1 with N=D₃₈ and Q=C₂

Direct product G=N×Q with N=D₃₈ and Q=C₂

		d	ρ	Label	ID
C₂²×D₁₉		76		C2^2xD19	152,11

Semidirect products G=N:Q with N=D₃₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₈⋊₁C₂ = D₇₆	φ: C₂/C₁ → C₂ ⊆ Out D₃₈	76	2+	D38:1C2	152,5
D₃₈⋊₂C₂ = C₁₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₃₈	76	2	D38:2C2	152,7

Non-split extensions G=N.Q with N=D₃₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₈.C₂ = C₄×D₁₉	φ: trivial image	76	2	D38.C2	152,4

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D38 and Q=C2