Extensions 1→N→G→Q→1 with N=D₅₂ and Q=C₄

Direct product G=N×Q with N=D₅₂ and Q=C₄

		d	ρ	Label	ID
C₄×D₅₂		208		C4xD52	416,94

Semidirect products G=N:Q with N=D₅₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂⋊₁C₄ = D₅₂⋊₁C₄	φ: C₄/C₁ → C₄ ⊆ Out D₅₂	104	8+	D52:1C4	416,82
D₅₂⋊₂C₄ = D₅₂⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₅₂	104	8+	D52:2C4	416,85
D₅₂⋊₃C₄ = D₄×C₁₃⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₅₂	52	8+	D52:3C4	416,206
D₅₂⋊₄C₄ = D₅₂⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₂	104	2	D52:4C4	416,12
D₅₂⋊₅C₄ = D₅₂⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₂	208		D52:5C4	416,28
D₅₂⋊₆C₄ = D₅₂⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₂	208		D52:6C4	416,16
D₅₂⋊₇C₄ = D₅₂⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₂	104	4	D52:7C4	416,32
D₅₂⋊₈C₄ = D₅₂⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₂	208		D52:8C4	416,114

Non-split extensions G=N.Q with N=D₅₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂.C₄ = D₅₂.C₄	φ: C₄/C₁ → C₄ ⊆ Out D₅₂	208	8+	D52.C4	416,207
D₅₂.₂C₄ = D₅₂.₂C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₂	208	4	D52.2C4	416,128
D₅₂.₃C₄ = D₅₂.₃C₄	φ: trivial image	208	2	D52.3C4	416,122

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