Extensions 1→N→G→Q→1 with N=C₂×C₅₂ and Q=C₂

Direct product G=N×Q with N=C₂×C₅₂ and Q=C₂

		d	ρ	Label	ID
C₂²×C₅₂		208		C2^2xC52	208,45

Semidirect products G=N:Q with N=C₂×C₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₂)⋊₁C₂ = D₂₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	104		(C2xC52):1C2	208,14
(C₂×C₅₂)⋊₂C₂ = C₁₃×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	104		(C2xC52):2C2	208,21
(C₂×C₅₂)⋊₃C₂ = C₂×D₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	104		(C2xC52):3C2	208,37
(C₂×C₅₂)⋊₄C₂ = D₅₂⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	104	2	(C2xC52):4C2	208,38
(C₂×C₅₂)⋊₅C₂ = C₂×C₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	104		(C2xC52):5C2	208,36
(C₂×C₅₂)⋊₆C₂ = D₄×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	104		(C2xC52):6C2	208,46
(C₂×C₅₂)⋊₇C₂ = C₁₃×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	104	2	(C2xC52):7C2	208,48

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₂).₁C₂ = C₂₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	208		(C2xC52).1C2	208,12
(C₂×C₅₂).₂C₂ = C₁₃×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	208		(C2xC52).2C2	208,22
(C₂×C₅₂).₃C₂ = C₅₂⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	208		(C2xC52).3C2	208,13
(C₂×C₅₂).₄C₂ = C₂×Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	208		(C2xC52).4C2	208,35
(C₂×C₅₂).₅C₂ = C₅₂.₄C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	104	2	(C2xC52).5C2	208,10
(C₂×C₅₂).₆C₂ = C₂×C₁₃⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	208		(C2xC52).6C2	208,9
(C₂×C₅₂).₇C₂ = C₄×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	208		(C2xC52).7C2	208,11
(C₂×C₅₂).₈C₂ = C₁₃×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	104	2	(C2xC52).8C2	208,24
(C₂×C₅₂).₉C₂ = Q₈×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₂	208		(C2xC52).9C2	208,47

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