Extensions 1→N→G→Q→1 with N=C₃₈ and Q=C₁₂

Direct product G=N×Q with N=C₃₈ and Q=C₁₂

		d	ρ	Label	ID
C₂×C₂₂₈		456		C2xC228	456,39

Semidirect products G=N:Q with N=C₃₈ and Q=C₁₂

extension	φ:Q→Aut N	d	Label	ID
C₃₈⋊C₁₂ = C₂×C₁₉⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃₈	152	C38:C12	456,10
C₃₈⋊₂C₁₂ = C₂×C₄×C₁₉⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃₈	152	C38:2C12	456,19
C₃₈⋊₃C₁₂ = C₆×Dic₁₉	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃₈	456	C38:3C12	456,27

Non-split extensions G=N.Q with N=C₃₈ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈.C₁₂ = C₁₉⋊C₂₄	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃₈	152	6	C38.C12	456,1
C₃₈.₂C₁₂ = C₈×C₁₉⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃₈	152	3	C38.2C12	456,2
C₃₈.₃C₁₂ = C₃×C₁₉⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃₈	456	2	C38.3C12	456,4

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Extensions 1→N→G→Q→1 with N=C38 and Q=C12