Extensions 1→N→G→Q→1 with N=D₃₈ and Q=C₆

Direct product G=N×Q with N=D₃₈ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×D₁₉		228		C2xC6xD19	456,51

Semidirect products G=N:Q with N=D₃₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₈⋊₁C₆ = D₇₆⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out D₃₈	76	6+	D38:1C6	456,9
D₃₈⋊₂C₆ = D₃₈⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₃₈	76	6	D38:2C6	456,11
D₃₈⋊₃C₆ = C₂²×C₁₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out D₃₈	76		D38:3C6	456,44
D₃₈⋊₄C₆ = C₃×D₇₆	φ: C₆/C₃ → C₂ ⊆ Out D₃₈	228	2	D38:4C6	456,26
D₃₈⋊₅C₆ = C₃×C₁₉⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out D₃₈	228	2	D38:5C6	456,28

Non-split extensions G=N.Q with N=D₃₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₈.C₆ = C₄×C₁₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out D₃₈	76	6	D38.C6	456,8
D₃₈.₂C₆ = C₁₂×D₁₉	φ: trivial image	228	2	D38.2C6	456,25

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