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

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

		d	ρ	Label	ID
C₃²xC₄₂		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 = C₃xC₆xC₇: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 = C₁₈xC₇:C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.1C3^2	378,23
C₄₂.₂C₃² = C₂xC₆₃:C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.2C3^2	378,24
C₄₂.₃C₃² = C₂xC₆₃:₃C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.3C3^2	378,25
C₄₂.₄C₃² = C₆xC₇:C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	378		C42.4C3^2	378,26
C₄₂.₅C₃² = C₂xC₂₁.C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.5C3^2	378,27
C₄₂.₆C₃² = C₂xC₇:He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄₂	126	3	C42.6C3^2	378,28
C₄₂.₇C₃² = C₁₄xHe₃	central extension (φ=1)	126	3	C42.7C3^2	378,45
C₄₂.₈C₃² = C₁₄x3_-¹⁺²	central extension (φ=1)	126	3	C42.8C3^2	378,46

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