Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₄

Direct product G=NxQ with N=C₂² and Q=C₂xC₄

		d	ρ	Label	ID
C₂³xC₄		32		C2^3xC4	32,45

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₂xC₄) = C₄xD₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂²	16		C2^2:1(C2xC4)	32,25
C₂²:₂(C₂xC₄) = C₂xC₂²:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂²	16		C2^2:2(C2xC4)	32,22

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xC₄) = C₈oD₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₂²	16	2	C2^2.1(C2xC4)	32,38
C₂².₂(C₂xC₄) = C₂³:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂²	8	4+	C2^2.2(C2xC4)	32,6
C₂².₃(C₂xC₄) = C₄.D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂²	8	4+	C2^2.3(C2xC4)	32,7
C₂².₄(C₂xC₄) = C₄.₁₀D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂²	16	4-	C2^2.4(C2xC4)	32,8
C₂².₅(C₂xC₄) = C₄²:C₂	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₂²	16		C2^2.5(C2xC4)	32,24
C₂².₆(C₂xC₄) = C₂.C₄²	central extension (φ=1)	32		C2^2.6(C2xC4)	32,2
C₂².₇(C₂xC₄) = C₈:C₄	central extension (φ=1)	32		C2^2.7(C2xC4)	32,4
C₂².₈(C₂xC₄) = C₂²:C₈	central extension (φ=1)	16		C2^2.8(C2xC4)	32,5
C₂².₉(C₂xC₄) = C₄:C₈	central extension (φ=1)	32		C2^2.9(C2xC4)	32,12
C₂².₁₀(C₂xC₄) = C₂xC₄:C₄	central extension (φ=1)	32		C2^2.10(C2xC4)	32,23
C₂².₁₁(C₂xC₄) = C₂xM₄(2)	central extension (φ=1)	16		C2^2.11(C2xC4)	32,37

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