Extensions 1→N→G→Q→1 with N=Dic₃₇ and Q=C₂

Direct product G=N×Q with N=Dic₃₇ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₃₇		296		C2xDic37	296,7

Semidirect products G=N:Q with N=Dic₃₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₇⋊C₂ = C₃₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₇	148	2	Dic37:C2	296,8
Dic₃₇⋊₂C₂ = C₄×D₃₇	φ: trivial image	148	2	Dic37:2C2	296,5

Non-split extensions G=N.Q with N=Dic₃₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₇.₁C₂ = Dic₇₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₇	296	2-	Dic37.1C2	296,4
Dic₃₇.₂C₂ = C₃₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃₇	296	4-	Dic37.2C2	296,3

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Dic37 and Q=C2