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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₃₈ = C₁₉×D₁₂	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₁₂	228	2	C12:1C38	456,31
C₁₂⋊₂C₃₈ = S₃×C₇₆	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₁₂	228	2	C12:2C38	456,30
C₁₂⋊₃C₃₈ = D₄×C₅₇	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₁₂	228	2	C12:3C38	456,40

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₃₈ = C₁₉×Dic₆	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₁₂	456	2	C12.1C38	456,29
C₁₂.₂C₃₈ = C₁₉×C₃⋊C₈	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₁₂	456	2	C12.2C38	456,3
C₁₂.₃C₃₈ = Q₈×C₅₇	φ: C₃₈/C₁₉ → C₂ ⊆ Aut C₁₂	456	2	C12.3C38	456,41

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