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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂⋊C₃² = C₃×C₆×C₇⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126		C42:C3^2	378,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂.₁C₃² = C₁₈×C₇⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.1C3^2	378,23
C₄₂.₂C₃² = C₂×C₆₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.2C3^2	378,24
C₄₂.₃C₃² = C₂×C₆₃⋊₃C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.3C3^2	378,25
C₄₂.₄C₃² = C₆×C₇⋊C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	378		C42.4C3^2	378,26
C₄₂.₅C₃² = C₂×C₂₁.C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.5C3^2	378,27
C₄₂.₆C₃² = C₂×C₇⋊He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.6C3^2	378,28
C₄₂.₇C₃² = C₁₄×He₃	central extension (φ=1)	126	3	C42.7C3^2	378,45
C₄₂.₈C₃² = C₁₄×3_-¹⁺²	central extension (φ=1)	126	3	C42.8C3^2	378,46

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