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

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

		d	ρ	Label	ID
C₄×C₄⋊C₄		64		C4xC4:C4	64,59

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁C₄ = C₂².SD₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₄⋊C₄	16		C4:C4:1C4	64,8
C₄⋊C₄⋊₂C₄ = C₂³.₃₁D₄	φ: C₄/C₁ → C₄ ⊆ Out C₄⋊C₄	16		C4:C4:2C4	64,9
C₄⋊C₄⋊₃C₄ = C₄²⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	16		C4:C4:3C4	64,20
C₄⋊C₄⋊₄C₄ = C₂².₄Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	64		C4:C4:4C4	64,21
C₄⋊C₄⋊₅C₄ = C₂³.₆₃C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	64		C4:C4:5C4	64,68
C₄⋊C₄⋊₆C₄ = C₂³.₆₅C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	64		C4:C4:6C4	64,70

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁C₄ = C₄².₂C₂²	φ: C₄/C₁ → C₄ ⊆ Out C₄⋊C₄	64		C4:C4.1C4	64,11
C₄⋊C₄.₂C₄ = C₄.₁₀D₈	φ: C₄/C₁ → C₄ ⊆ Out C₄⋊C₄	64		C4:C4.2C4	64,13
C₄⋊C₄.₃C₄ = D₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.3C4	64,6
C₄⋊C₄.₄C₄ = Q₈⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	64		C4:C4.4C4	64,7
C₄⋊C₄.₅C₄ = C₄².₆C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.5C4	64,105
C₄⋊C₄.₆C₄ = C₄².₇C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.6C4	64,114
C₄⋊C₄.₇C₄ = C₈⋊₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.7C4	64,116
C₄⋊C₄.₈C₄ = C₈⋊₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	32		C4:C4.8C4	64,117
C₄⋊C₄.₉C₄ = C₈⋊₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊C₄	64		C4:C4.9C4	64,127
C₄⋊C₄.₁₀C₄ = C₈○₂M₄(2)	φ: trivial image	32		C4:C4.10C4	64,86
C₄⋊C₄.₁₁C₄ = C₈×D₄	φ: trivial image	32		C4:C4.11C4	64,115
C₄⋊C₄.₁₂C₄ = C₈×Q₈	φ: trivial image	64		C4:C4.12C4	64,126

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