Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄₂

Direct product G=N×Q with N=C₃² and Q=C₄₂

		d	ρ	Label	ID
C₃²×C₄₂		378		C3^2xC42	378,60

Semidirect products G=N:Q with N=C₃² and Q=C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₄₂ = C₇×C₃²⋊C₆	φ: C₄₂/C₇ → C₆ ⊆ Aut C₃²	63	6	C3^2:C42	378,34
C₃²⋊₂C₄₂ = C₁₄×He₃	φ: C₄₂/C₁₄ → C₃ ⊆ Aut C₃²	126	3	C3^2:2C42	378,45
C₃²⋊₃C₄₂ = S₃×C₃×C₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₃²	126		C3^2:3C42	378,54
C₃²⋊₄C₄₂ = C₃⋊S₃×C₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₃²	126		C3^2:4C42	378,56

Non-split extensions G=N.Q with N=C₃² and Q=C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².C₄₂ = C₁₄×3_-¹⁺²	φ: C₄₂/C₁₄ → C₃ ⊆ Aut C₃²	126	3	C3^2.C42	378,46
C₃².₂C₄₂ = S₃×C₆₃	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₃²	126	2	C3^2.2C42	378,33

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