Extensions 1→N→G→Q→1 with N=C₃₈ and Q=C₆

Direct product G=N×Q with N=C₃₈ and Q=C₆

		d	ρ	Label	ID
C₂×C₁₁₄		228		C2xC114	228,15

Semidirect products G=N:Q with N=C₃₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈⋊C₆ = C₂×C₁₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃₈	38	6+	C38:C6	228,7
C₃₈⋊₂C₆ = C₂²×C₁₉⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃₈	76		C38:2C6	228,9
C₃₈⋊₃C₆ = C₆×D₁₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃₈	114	2	C38:3C6	228,12

Non-split extensions G=N.Q with N=C₃₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈.C₆ = C₁₉⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₃₈	76	6-	C38.C6	228,1
C₃₈.₂C₆ = C₄×C₁₉⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃₈	76	3	C38.2C6	228,2
C₃₈.₃C₆ = C₃×Dic₁₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃₈	228	2	C38.3C6	228,4

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Extensions 1→N→G→Q→1 with N=C38 and Q=C6