Extensions 1→N→G→Q→1 with N=D₇₄ and Q=C₂

Direct product G=N×Q with N=D₇₄ and Q=C₂

		d	ρ	Label	ID
C₂²×D₃₇		148		C2^2xD37	296,13

Semidirect products G=N:Q with N=D₇₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₇₄⋊₁C₂ = D₁₄₈	φ: C₂/C₁ → C₂ ⊆ Out D₇₄	148	2+	D74:1C2	296,6
D₇₄⋊₂C₂ = C₃₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇₄	148	2	D74:2C2	296,8

Non-split extensions G=N.Q with N=D₇₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₇₄.C₂ = C₂×C₃₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇₄	74	4+	D74.C2	296,12
D₇₄.₂C₂ = C₄×D₃₇	φ: trivial image	148	2	D74.2C2	296,5

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D74 and Q=C2