Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₄

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₂²⋊C₄		32		C4xC2^2:C4	64,58

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₄ = C₂≀C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₄	8	4+	C2^2:C4:1C4	64,32
C₂²⋊C₄⋊₂C₄ = C₂³.D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₄	16	4	C2^2:C4:2C4	64,33
C₂²⋊C₄⋊₃C₄ = C₂³.₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₄	16		C2^2:C4:3C4	64,23
C₂²⋊C₄⋊₄C₄ = C₂³.₈Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:4C4	64,66
C₂²⋊C₄⋊₅C₄ = C₂⁴.C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:5C4	64,69

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₄ = M₄(2)⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₄	16	4	C2^2:C4.1C4	64,25
C₂²⋊C₄.₂C₄ = C₄².₆C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.2C4	64,105
C₂²⋊C₄.₃C₄ = C₄².₇C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.3C4	64,114
C₂²⋊C₄.₄C₄ = C₈⋊₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.4C4	64,116
C₂²⋊C₄.₅C₄ = C₈⋊₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.5C4	64,117
C₂²⋊C₄.₆C₄ = C₈○₂M₄(2)	φ: trivial image	32		C2^2:C4.6C4	64,86
C₂²⋊C₄.₇C₄ = C₈×D₄	φ: trivial image	32		C2^2:C4.7C4	64,115

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