Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂³

Direct product G=N×Q with N=C₂² and Q=C₂³

		d	ρ	Label	ID
C₂⁵		32		C2^5	32,51

Semidirect products G=N:Q with N=C₂² and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊C₂³ = C₂²×D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂²	16		C2^2:C2^3	32,46

Non-split extensions G=N.Q with N=C₂² and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁C₂³ = C₂×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂²	16		C2^2.1C2^3	32,48
C₂².₂C₂³ = 2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₂²	8	4+	C2^2.2C2^3	32,49
C₂².₃C₂³ = 2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₂²	16	4-	C2^2.3C2^3	32,50
C₂².₄C₂³ = C₂×C₂²⋊C₄	central extension (φ=1)	16		C2^2.4C2^3	32,22
C₂².₅C₂³ = C₂×C₄⋊C₄	central extension (φ=1)	32		C2^2.5C2^3	32,23
C₂².₆C₂³ = C₄²⋊C₂	central extension (φ=1)	16		C2^2.6C2^3	32,24
C₂².₇C₂³ = C₄×D₄	central extension (φ=1)	16		C2^2.7C2^3	32,25
C₂².₈C₂³ = C₄×Q₈	central extension (φ=1)	32		C2^2.8C2^3	32,26
C₂².₉C₂³ = C₂²×Q₈	central extension (φ=1)	32		C2^2.9C2^3	32,47
C₂².₁₀C₂³ = C₂²≀C₂	central stem extension (φ=1)	8		C2^2.10C2^3	32,27
C₂².₁₁C₂³ = C₄⋊D₄	central stem extension (φ=1)	16		C2^2.11C2^3	32,28
C₂².₁₂C₂³ = C₂²⋊Q₈	central stem extension (φ=1)	16		C2^2.12C2^3	32,29
C₂².₁₃C₂³ = C₂².D₄	central stem extension (φ=1)	16		C2^2.13C2^3	32,30
C₂².₁₄C₂³ = C₄.₄D₄	central stem extension (φ=1)	16		C2^2.14C2^3	32,31
C₂².₁₅C₂³ = C₄².C₂	central stem extension (φ=1)	32		C2^2.15C2^3	32,32
C₂².₁₆C₂³ = C₄²⋊₂C₂	central stem extension (φ=1)	16		C2^2.16C2^3	32,33
C₂².₁₇C₂³ = C₄⋊₁D₄	central stem extension (φ=1)	16		C2^2.17C2^3	32,34
C₂².₁₈C₂³ = C₄⋊Q₈	central stem extension (φ=1)	32		C2^2.18C2^3	32,35

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