Extensions 1→N→G→Q→1 with N=C₄² and Q=C₆

Direct product G=NxQ with N=C₄² and Q=C₆

		d	ρ	Label	ID
C₂xC₄xC₁₂		96		C2xC4xC12	96,161

Semidirect products G=N:Q with N=C₄² and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²:₁C₆ = C₄²:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₄²	16	6	C4^2:1C6	96,71
C₄²:₂C₆ = C₂³.A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₄²	12	6+	C4^2:2C6	96,72
C₄²:₃C₆ = C₂xC₄²:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₄²	12	3	C4^2:3C6	96,68
C₄²:₄C₆ = C₃xC₄²:C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:4C6	96,164
C₄²:₅C₆ = C₃xC₄²:₂C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:5C6	96,173
C₄²:₆C₆ = C₃xC₄wrC₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	24	2	C4^2:6C6	96,54
C₄²:₇C₆ = D₄xC₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:7C6	96,165
C₄²:₈C₆ = C₃xC₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:8C6	96,171
C₄²:₉C₆ = C₃xC₄:₁D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:9C6	96,174

Non-split extensions G=N.Q with N=C₄² and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₆ = C₃xC₈:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.1C6	96,47
C₄².₂C₆ = C₃xC₄:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.2C6	96,55
C₄².₃C₆ = Q₈xC₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.3C6	96,166
C₄².₄C₆ = C₃xC₄².C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.4C6	96,172
C₄².₅C₆ = C₃xC₄:Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.5C6	96,175

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