Extensions 1→N→G→Q→1 with N=C₃₈ and Q=A₄

Direct product G=N×Q with N=C₃₈ and Q=A₄

		d	ρ	Label	ID
A₄×C₃₈		114	3	A4xC38	456,49

Semidirect products G=N:Q with N=C₃₈ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈⋊A₄ = C₂×C₁₉⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃₈	114	3	C38:A4	456,50

Non-split extensions G=N.Q with N=C₃₈ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈.A₄ = C₃₈.A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃₈	152	6	C38.A4	456,23
C₃₈.₂A₄ = C₁₉×SL₂(𝔽₃)	central extension (φ=1)	152	2	C38.2A4	456,22

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Extensions 1→N→G→Q→1 with N=C38 and Q=A4