Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=D₁₃

Direct product G=N×Q with N=C₂×D₄ and Q=D₁₃

		d	ρ	Label	ID
C₂×D₄×D₁₃		104		C2xD4xD13	416,216

Semidirect products G=N:Q with N=C₂×D₄ and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁D₁₃ = C₂×D₄⋊D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4):1D13	416,152
(C₂×D₄)⋊₂D₁₃ = D₅₂⋊₆C₂²	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	104	4	(C2xD4):2D13	416,153
(C₂×D₄)⋊₃D₁₃ = C₂³⋊D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	104		(C2xD4):3D13	416,158
(C₂×D₄)⋊₄D₁₃ = C₅₂⋊₂D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4):4D13	416,159
(C₂×D₄)⋊₅D₁₃ = Dic₁₃⋊D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4):5D13	416,160
(C₂×D₄)⋊₆D₁₃ = C₅₂⋊D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4):6D13	416,161
(C₂×D₄)⋊₇D₁₃ = D₄⋊₆D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	104	4	(C2xD4):7D13	416,218
(C₂×D₄)⋊₈D₁₃ = C₂×D₄⋊₂D₁₃	φ: trivial image	208		(C2xD4):8D13	416,217

Non-split extensions G=N.Q with N=C₂×D₄ and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁D₁₃ = D₄⋊Dic₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4).1D13	416,39
(C₂×D₄).₂D₁₃ = C₅₂.D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	104	4	(C2xD4).2D13	416,40
(C₂×D₄).₃D₁₃ = C₂³⋊Dic₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	104	4	(C2xD4).3D13	416,41
(C₂×D₄).₄D₁₃ = C₂×D₄.D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4).4D13	416,154
(C₂×D₄).₅D₁₃ = C₂³.₁₈D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4).5D13	416,156
(C₂×D₄).₆D₁₃ = C₅₂.₁₇D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4).6D13	416,157
(C₂×D₄).₇D₁₃ = D₄×Dic₁₃	φ: trivial image	208		(C2xD4).7D13	416,155

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