Extensions 1→N→G→Q→1 with N=C₄×D₁₃ and Q=C₄

Direct product G=N×Q with N=C₄×D₁₃ and Q=C₄

		d	ρ	Label	ID
C₄²×D₁₃		208		C4^2xD13	416,92

Semidirect products G=N:Q with N=C₄×D₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₃)⋊₁C₄ = C₄⋊C₄×D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13):1C4	416,112
(C₄×D₁₃)⋊₂C₄ = C₄⋊C₄⋊₇D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13):2C4	416,113
(C₄×D₁₃)⋊₃C₄ = C₄²⋊D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13):3C4	416,93
(C₄×D₁₃)⋊₄C₄ = C₂×C₅₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	104		(C4xD13):4C4	416,203
(C₄×D₁₃)⋊₅C₄ = C₂×C₄×C₁₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	104		(C4xD13):5C4	416,202
(C₄×D₁₃)⋊₆C₄ = D₂₆.C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13):6C4	416,204

Non-split extensions G=N.Q with N=C₄×D₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₃).₁C₄ = M₄(2)×D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).1C4	416,127
(C₄×D₁₃).₂C₄ = C₂₀₈⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	208	2	(C4xD13).2C4	416,5
(C₄×D₁₃).₃C₄ = C₂×C₈⋊D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13).3C4	416,121
(C₄×D₁₃).₄C₄ = C₂×C₅₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13).4C4	416,200
(C₄×D₁₃).₅C₄ = D₁₃⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	208	4	(C4xD13).5C4	416,64
(C₄×D₁₃).₆C₄ = D₂₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	208	4	(C4xD13).6C4	416,65
(C₄×D₁₃).₇C₄ = C₂×D₁₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13).7C4	416,199
(C₄×D₁₃).₈C₄ = D₁₃⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).8C4	416,201
(C₄×D₁₃).₉C₄ = C₁₆×D₁₃	φ: trivial image	208	2	(C4xD13).9C4	416,4
(C₄×D₁₃).₁₀C₄ = C₂×C₈×D₁₃	φ: trivial image	208		(C4xD13).10C4	416,120

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