Extensions 1→N→G→Q→1 with N=C₃₈ and Q=Dic₃

Direct product G=N×Q with N=C₃₈ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₃₈		456		Dic3xC38	456,32

Semidirect products G=N:Q with N=C₃₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈⋊Dic₃ = C₂×Dic₅₇	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₈	456		C38:Dic3	456,37

Non-split extensions G=N.Q with N=C₃₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈.Dic₃ = C₅₇⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₈	456	2	C38.Dic3	456,5
C₃₈.₂Dic₃ = C₁₉×C₃⋊C₈	central extension (φ=1)	456	2	C38.2Dic3	456,3

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Extensions 1→N→G→Q→1 with N=C38 and Q=Dic3