Extensions 1→N→G→Q→1 with N=C₅₂.₄C₄ and Q=C₂

Direct product G=N×Q with N=C₅₂.₄C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₅₂.₄C₄		208		C2xC52.4C4	416,142

Semidirect products G=N:Q with N=C₅₂.₄C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₂.₄C₄⋊₁C₂ = D₅₂⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	104	2	C52.4C4:1C2	416,12
C₅₂.₄C₄⋊₂C₂ = C₅₂.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	104	4+	C52.4C4:2C2	416,30
C₅₂.₄C₄⋊₃C₂ = C₅₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	104	4	C52.4C4:3C2	416,40
C₅₂.₄C₄⋊₄C₂ = C₅₂.₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	104	4	C52.4C4:4C2	416,44
C₅₂.₄C₄⋊₅C₂ = M₄(2)×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	104	4	C52.4C4:5C2	416,127
C₅₂.₄C₄⋊₆C₂ = D₅₂⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	104	4	C52.4C4:6C2	416,153
C₅₂.₄C₄⋊₇C₂ = Q₈.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	208	4	C52.4C4:7C2	416,163
C₅₂.₄C₄⋊₈C₂ = D₄.Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	208	4	C52.4C4:8C2	416,169
C₅₂.₄C₄⋊₉C₂ = D₄⋊D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	104	4+	C52.4C4:9C2	416,170
C₅₂.₄C₄⋊₁₀C₂ = D₄.₉D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	208	4-	C52.4C4:10C2	416,172
C₅₂.₄C₄⋊₁₁C₂ = D₅₂.₃C₄	φ: trivial image	208	2	C52.4C4:11C2	416,122

Non-split extensions G=N.Q with N=C₅₂.₄C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₂.₄C₄.₁C₂ = C₁₀₄.₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	208	2	C52.4C4.1C2	416,26
C₅₂.₄C₄.₂C₂ = C₅₂.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	208	4	C52.4C4.2C2	416,29
C₅₂.₄C₄.₃C₂ = C₄.₁₂D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	208	4-	C52.4C4.3C2	416,31
C₅₂.₄C₄.₄C₂ = C₅₂.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂.₄C₄	208	4	C52.4C4.4C2	416,43

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