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

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

		d	ρ	Label	ID
C₂×C₄×C₅₂		416		C2xC4xC52	416,175

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₅₂ = C₁₃×C₂³⋊C₄	φ: C₅₂/C₁₃ → C₄ ⊆ Aut C₂×C₄	104	4	(C2xC4):C52	416,49
(C₂×C₄)⋊₂C₅₂ = C₁₃×C₂.C₄²	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂×C₄	416		(C2xC4):2C52	416,45
(C₂×C₄)⋊₃C₅₂ = C₄⋊C₄×C₂₆	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂×C₄	416		(C2xC4):3C52	416,177
(C₂×C₄)⋊₄C₅₂ = C₁₃×C₄²⋊C₂	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4):4C52	416,178

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₅₂ = C₁₃×C₄.₁₀D₄	φ: C₅₂/C₁₃ → C₄ ⊆ Aut C₂×C₄	208	4	(C2xC4).C52	416,51
(C₂×C₄).₂C₅₂ = C₁₃×C₈⋊C₄	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂×C₄	416		(C2xC4).2C52	416,47
(C₂×C₄).₃C₅₂ = C₁₃×C₂²⋊C₈	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4).3C52	416,48
(C₂×C₄).₄C₅₂ = C₁₃×C₄⋊C₈	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂×C₄	416		(C2xC4).4C52	416,55
(C₂×C₄).₅C₅₂ = C₁₃×M₅(2)	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂×C₄	208	2	(C2xC4).5C52	416,60
(C₂×C₄).₆C₅₂ = M₄(2)×C₂₆	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4).6C52	416,191

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