Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈

Direct product G=N×Q with N=C₂² and Q=Q₈

		d	ρ	Label	ID
C₂²×Q₈		32		C2^2xQ8	32,47

Semidirect products G=N:Q with N=C₂² and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊Q₈ = C₂²⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂²	16		C2^2:Q8	32,29

Non-split extensions G=N.Q with N=C₂² and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².Q₈ = C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂²	16	2	C2^2.Q8	32,15
C₂².₂Q₈ = C₂.C₄²	central extension (φ=1)	32		C2^2.2Q8	32,2
C₂².₃Q₈ = C₂×C₄⋊C₄	central extension (φ=1)	32		C2^2.3Q8	32,23

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Extensions 1→N→G→Q→1 with N=C22 and Q=Q8