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

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

		d	ρ	Label	ID
C₂²×C₄		16		C2^2xC4	16,10

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊C₂² = C₂×D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₄	8		C4:C2^2	16,11

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁C₂² = D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₄	8	2+	C4.1C2^2	16,7
C₄.₂C₂² = SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₄	8	2	C4.2C2^2	16,8
C₄.₃C₂² = Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₄	16	2-	C4.3C2^2	16,9
C₄.₄C₂² = C₂×Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₄	16		C4.4C2^2	16,12
C₄.₅C₂² = C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₄	8	2	C4.5C2^2	16,13
C₄.₆C₂² = M₄(2)	central extension (φ=1)	8	2	C4.6C2^2	16,6

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