Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=C₂

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

		d	ρ	Label	ID
C₂×C₄⋊C₄		32		C2xC4:C4	32,23

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁C₂ = D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	16		C4:C4:1C2	32,9
C₄⋊C₄⋊₂C₂ = C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	16		C4:C4:2C2	32,28
C₄⋊C₄⋊₃C₂ = C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	16		C4:C4:3C2	32,29
C₄⋊C₄⋊₄C₂ = C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	16		C4:C4:4C2	32,30
C₄⋊C₄⋊₅C₂ = C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	16		C4:C4:5C2	32,33
C₄⋊C₄⋊₆C₂ = C₄²⋊C₂	φ: trivial image	16		C4:C4:6C2	32,24
C₄⋊C₄⋊₇C₂ = C₄×D₄	φ: trivial image	16		C4:C4:7C2	32,25

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁C₂ = Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.1C2	32,10
C₄⋊C₄.₂C₂ = C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.2C2	32,13
C₄⋊C₄.₃C₂ = C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.3C2	32,14
C₄⋊C₄.₄C₂ = C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.4C2	32,32
C₄⋊C₄.₅C₂ = C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.5C2	32,35
C₄⋊C₄.₆C₂ = C₄×Q₈	φ: trivial image	32		C4:C4.6C2	32,26

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