Extensions 1→N→G→Q→1 with N=C₂×D₅₂ and Q=C₂

Direct product G=N×Q with N=C₂×D₅₂ and Q=C₂

		d	ρ	Label	ID
C₂²×D₅₂		208		C2^2xD52	416,214

Semidirect products G=N:Q with N=C₂×D₅₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₅₂)⋊₁C₂ = C₄⋊D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52):1C2	416,95
(C₂×D₅₂)⋊₂C₂ = C₂²⋊D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	104		(C2xD52):2C2	416,103
(C₂×D₅₂)⋊₃C₂ = D₂₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52):3C2	416,105
(C₂×D₅₂)⋊₄C₂ = C₄⋊₂D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52):4C2	416,116
(C₂×D₅₂)⋊₅C₂ = C₂×D₁₀₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52):5C2	416,124
(C₂×D₅₂)⋊₆C₂ = C₅₂⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52):6C2	416,151
(C₂×D₅₂)⋊₇C₂ = C₈⋊D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	104	4+	(C2xD52):7C2	416,129
(C₂×D₅₂)⋊₈C₂ = C₂×D₄⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52):8C2	416,152
(C₂×D₅₂)⋊₉C₂ = C₅₂⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52):9C2	416,161
(C₂×D₅₂)⋊₁₀C₂ = D₄⋊D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	104	4+	(C2xD52):10C2	416,170
(C₂×D₅₂)⋊₁₁C₂ = C₂×D₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	104		(C2xD52):11C2	416,216
(C₂×D₅₂)⋊₁₂C₂ = C₂×D₅₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52):12C2	416,220
(C₂×D₅₂)⋊₁₃C₂ = D₄⋊₈D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	104	4+	(C2xD52):13C2	416,223
(C₂×D₅₂)⋊₁₄C₂ = C₂×D₅₂⋊₅C₂	φ: trivial image	208		(C2xD52):14C2	416,215

Non-split extensions G=N.Q with N=C₂×D₅₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₅₂).₁C₂ = D₅₂⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52).1C2	416,28
(C₂×D₅₂).₂C₂ = D₂₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	104	4+	(C2xD52).2C2	416,74
(C₂×D₅₂).₃C₂ = C₄.D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52).3C2	416,96
(C₂×D₅₂).₄C₂ = D₂₆.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52).4C2	416,115
(C₂×D₅₂).₅C₂ = C₂×C₁₀₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52).5C2	416,123
(C₂×D₅₂).₆C₂ = D₅₂⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52).6C2	416,16
(C₂×D₅₂).₇C₂ = C₅₂.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	104	4+	(C2xD52).7C2	416,30
(C₂×D₅₂).₈C₂ = D₅₂⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52).8C2	416,114
(C₂×D₅₂).₉C₂ = C₂×Q₈⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52).9C2	416,162
(C₂×D₅₂).₁₀C₂ = C₅₂.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₂	208		(C2xD52).10C2	416,168
(C₂×D₅₂).₁₁C₂ = C₄×D₅₂	φ: trivial image	208		(C2xD52).11C2	416,94

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