Extensions 1→N→G→Q→1 with N=C₄²⋊₂C₂ and Q=C₄

Direct product G=N×Q with N=C₄²⋊₂C₂ and Q=C₄

		d	ρ	Label	ID
C₄×C₄²⋊₂C₂		64		C4xC4^2:2C2	128,1036

Semidirect products G=N:Q with N=C₄²⋊₂C₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂⋊₁C₄ = C₂⁴.₂₀₃C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2:1C4	128,1066
C₄²⋊₂C₂⋊₂C₄ = C₂³.₂₅₅C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2:2C4	128,1105
C₄²⋊₂C₂⋊₃C₄ = C₂⁴.₂₃₀C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2:3C4	128,1115

Non-split extensions G=N.Q with N=C₄²⋊₂C₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂.₁C₄ = C₄².₂₉₂C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2.1C4	128,1699
C₄²⋊₂C₂.₂C₄ = C₄².₂₉₃C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2.2C4	128,1700
C₄²⋊₂C₂.₃C₄ = C₄².₂₉₄C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2.3C4	128,1701
C₄²⋊₂C₂.₄C₄ = C₄².₃₀₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2.4C4	128,1724
C₄²⋊₂C₂.₅C₄ = C₄².₃₀₈C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2.5C4	128,1725
C₄²⋊₂C₂.₆C₄ = C₄².₃₀₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2.6C4	128,1726
C₄²⋊₂C₂.₇C₄ = C₄².₃₁₀C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄²⋊₂C₂	64		C4^2:2C2.7C4	128,1727
C₄²⋊₂C₂.₈C₄ = C₄².₂₉₁C₂³	φ: trivial image	64		C4^2:2C2.8C4	128,1698

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