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

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

		d	ρ	Label	ID
C₄⋊C₄×D₁₃		208		C4:C4xD13	416,112

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁D₁₃ = D₅₂⋊₆C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:1D13	416,16
C₄⋊C₄⋊₂D₁₃ = D₂₆.₁₃D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:2D13	416,115
C₄⋊C₄⋊₃D₁₃ = C₄⋊₂D₅₂	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:3D13	416,116
C₄⋊C₄⋊₄D₁₃ = D₂₆⋊Q₈	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:4D13	416,117
C₄⋊C₄⋊₅D₁₃ = D₂₆⋊₂Q₈	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:5D13	416,118
C₄⋊C₄⋊₆D₁₃ = C₄⋊C₄⋊D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:6D13	416,119
C₄⋊C₄⋊₇D₁₃ = C₄⋊C₄⋊₇D₁₃	φ: trivial image	208		C4:C4:7D13	416,113
C₄⋊C₄⋊₈D₁₃ = D₅₂⋊₈C₄	φ: trivial image	208		C4:C4:8D13	416,114

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁D₁₃ = C₂₆.D₈	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.1D13	416,14
C₄⋊C₄.₂D₁₃ = C₅₂.Q₈	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.2D13	416,15
C₄⋊C₄.₃D₁₃ = C₂₆.Q₁₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.3D13	416,17
C₄⋊C₄.₄D₁₃ = C₅₂⋊Q₈	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.4D13	416,109
C₄⋊C₄.₅D₁₃ = Dic₁₃.Q₈	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.5D13	416,110
C₄⋊C₄.₆D₁₃ = C₄.Dic₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.6D13	416,111
C₄⋊C₄.₇D₁₃ = Dic₁₃⋊₃Q₈	φ: trivial image	416		C4:C4.7D13	416,108

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