Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₈

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₈

		d	ρ	Label	ID
C₈×C₂²⋊C₄		64		C8xC2^2:C4	128,483

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊C₈ = C₂³.₂M₄(2)	φ: C₈/C₂ → C₄ ⊆ Out C₂²⋊C₄	32		C2^2:C4:C8	128,58
C₂²⋊C₄⋊₂C₈ = C₂³.₂₁C₄²	φ: C₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:2C8	128,14
C₂²⋊C₄⋊₃C₈ = C₂³.₂₁M₄(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4:3C8	128,582
C₂²⋊C₄⋊₄C₈ = C₂²⋊C₄⋊₄C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4:4C8	128,655

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.C₈ = C₂²⋊C₄.C₈	φ: C₈/C₂ → C₄ ⊆ Out C₂²⋊C₄	32	4	C2^2:C4.C8	128,60
C₂²⋊C₄.₂C₈ = M₄(2).C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	32	4	C2^2:C4.2C8	128,110
C₂²⋊C₄.₃C₈ = C₄⋊C₄.₇C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.3C8	128,883
C₂²⋊C₄.₄C₈ = C₈.₁₂M₄(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.4C8	128,896
C₂²⋊C₄.₅C₈ = C₁₆⋊₉D₄	φ: C₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.5C8	128,900
C₂²⋊C₄.₆C₈ = C₁₆⋊₆D₄	φ: C₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.6C8	128,901
C₂²⋊C₄.₇C₈ = C₁₆○₂M₅(2)	φ: trivial image	64		C2^2:C4.7C8	128,840
C₂²⋊C₄.₈C₈ = D₄×C₁₆	φ: trivial image	64		C2^2:C4.8C8	128,899

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