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

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

		d	ρ	Label	ID
C₄×C₄≀C₂		32		C4xC4wrC2	128,490

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄≀C₂⋊₁C₄ = C₄≀C₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄≀C₂	32		C4wrC2:1C4	128,591
C₄≀C₂⋊₂C₄ = C₄²⋊₉(C₂×C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₄≀C₂	32		C4wrC2:2C4	128,592
C₄≀C₂⋊₃C₄ = M₄(2).₄₁D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄≀C₂	16	4	C4wrC2:3C4	128,593
C₄≀C₂⋊₄C₄ = D₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄≀C₂	32		C4wrC2:4C4	128,491
C₄≀C₂⋊₅C₄ = D₄.₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄≀C₂	32		C4wrC2:5C4	128,497
C₄≀C₂⋊₆C₄ = Q₈.C₄²	φ: trivial image	32		C4wrC2:6C4	128,496

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄≀C₂.C₄ = D₈.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄≀C₂	32	4	C4wrC2.C4	128,903
C₄≀C₂.₂C₄ = C₁₆○D₈	φ: trivial image	32	2	C4wrC2.2C4	128,902

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