Extensions 1→N→G→Q→1 with N=Dic₄₂ and Q=C₂

Direct product G=N×Q with N=Dic₄₂ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₄₂		336		C2xDic42	336,194

Semidirect products G=N:Q with N=Dic₄₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₄₂⋊₁C₂ = C₈⋊D₂₁	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	2	Dic42:1C2	336,92
Dic₄₂⋊₂C₂ = D₄.D₂₁	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	4-	Dic42:2C2	336,102
Dic₄₂⋊₃C₂ = D₄⋊₂D₂₁	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	4-	Dic42:3C2	336,199
Dic₄₂⋊₄C₂ = Q₈×D₂₁	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	4-	Dic42:4C2	336,200
Dic₄₂⋊₅C₂ = C₆.D₂₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	4-	Dic42:5C2	336,34
Dic₄₂⋊₆C₂ = D₂₈⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	4-	Dic42:6C2	336,138
Dic₄₂⋊₇C₂ = S₃×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	4-	Dic42:7C2	336,140
Dic₄₂⋊₈C₂ = D₁₂.D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	4-	Dic42:8C2	336,36
Dic₄₂⋊₉C₂ = D₇×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	4-	Dic42:9C2	336,137
Dic₄₂⋊₁₀C₂ = D₁₂⋊₅D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	168	4-	Dic42:10C2	336,145
Dic₄₂⋊₁₁C₂ = D₈₄⋊₁₁C₂	φ: trivial image	168	2	Dic42:11C2	336,197

Non-split extensions G=N.Q with N=Dic₄₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₄₂.₁C₂ = Dic₈₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	336	2-	Dic42.1C2	336,94
Dic₄₂.₂C₂ = C₂₁⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	336	4-	Dic42.2C2	336,104
Dic₄₂.₃C₂ = C₃⋊Dic₂₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	336	4-	Dic42.3C2	336,39
Dic₄₂.₄C₂ = C₇⋊Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₂	336	4-	Dic42.4C2	336,40

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁