Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄₂

Direct product G=N×Q with N=C₄ and Q=D₄₂

		d	ρ	Label	ID
C₂×C₄×D₂₁		168		C2xC4xD21	336,195

Semidirect products G=N:Q with N=C₄ and Q=D₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₄₂ = D₄×D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₄	84	4+	C4:1D42	336,198
C₄⋊₂D₄₂ = C₂×D₈₄	φ: D₄₂/C₄₂ → C₂ ⊆ Aut C₄	168		C4:2D42	336,196

Non-split extensions G=N.Q with N=C₄ and Q=D₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₄₂ = D₄⋊D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₄	168	4+	C4.1D42	336,101
C₄.₂D₄₂ = D₄.D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₄	168	4-	C4.2D42	336,102
C₄.₃D₄₂ = Q₈⋊₂D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₄	168	4+	C4.3D42	336,103
C₄.₄D₄₂ = C₂₁⋊₇Q₁₆	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₄	336	4-	C4.4D42	336,104
C₄.₅D₄₂ = D₄⋊₂D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₄	168	4-	C4.5D42	336,199
C₄.₆D₄₂ = Q₈×D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₄	168	4-	C4.6D42	336,200
C₄.₇D₄₂ = Q₈⋊₃D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₄	168	4+	C4.7D42	336,201
C₄.₈D₄₂ = C₈⋊D₂₁	φ: D₄₂/C₄₂ → C₂ ⊆ Aut C₄	168	2	C4.8D42	336,92
C₄.₉D₄₂ = D₁₆₈	φ: D₄₂/C₄₂ → C₂ ⊆ Aut C₄	168	2+	C4.9D42	336,93
C₄.₁₀D₄₂ = Dic₈₄	φ: D₄₂/C₄₂ → C₂ ⊆ Aut C₄	336	2-	C4.10D42	336,94
C₄.₁₁D₄₂ = C₂×Dic₄₂	φ: D₄₂/C₄₂ → C₂ ⊆ Aut C₄	336		C4.11D42	336,194
C₄.₁₂D₄₂ = C₈×D₂₁	central extension (φ=1)	168	2	C4.12D42	336,90
C₄.₁₃D₄₂ = C₅₆⋊S₃	central extension (φ=1)	168	2	C4.13D42	336,91
C₄.₁₄D₄₂ = C₂×C₂₁⋊C₈	central extension (φ=1)	336		C4.14D42	336,95
C₄.₁₅D₄₂ = C₈₄.C₄	central extension (φ=1)	168	2	C4.15D42	336,96
C₄.₁₆D₄₂ = D₈₄⋊₁₁C₂	central extension (φ=1)	168	2	C4.16D42	336,197

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