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

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

		d	ρ	Label	ID
C₂×C₄×C₁₂		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 = C₂×C₄²⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₄²	12	3	C4^2:3C6	96,68
C₄²⋊₄C₆ = C₃×C₄²⋊C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:4C6	96,164
C₄²⋊₅C₆ = C₃×C₄²⋊₂C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:5C6	96,173
C₄²⋊₆C₆ = C₃×C₄≀C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	24	2	C4^2:6C6	96,54
C₄²⋊₇C₆ = D₄×C₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:7C6	96,165
C₄²⋊₈C₆ = C₃×C₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:8C6	96,171
C₄²⋊₉C₆ = C₃×C₄⋊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 = C₃×C₈⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.1C6	96,47
C₄².₂C₆ = C₃×C₄⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.2C6	96,55
C₄².₃C₆ = Q₈×C₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.3C6	96,166
C₄².₄C₆ = C₃×C₄².C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.4C6	96,172
C₄².₅C₆ = C₃×C₄⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.5C6	96,175

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