Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×C₃₈

Direct product G=N×Q with N=C₆ and Q=C₂×C₃₈

		d	ρ	Label	ID
C₂²×C₁₁₄		456		C2^2xC114	456,54

Semidirect products G=N:Q with N=C₆ and Q=C₂×C₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₂×C₃₈) = S₃×C₂×C₃₈	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₆	228		C6:(C2xC38)	456,52

Non-split extensions G=N.Q with N=C₆ and Q=C₂×C₃₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂×C₃₈) = C₁₉×Dic₆	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₆	456	2	C6.1(C2xC38)	456,29
C₆.₂(C₂×C₃₈) = S₃×C₇₆	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₆	228	2	C6.2(C2xC38)	456,30
C₆.₃(C₂×C₃₈) = C₁₉×D₁₂	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₆	228	2	C6.3(C2xC38)	456,31
C₆.₄(C₂×C₃₈) = Dic₃×C₃₈	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₆	456		C6.4(C2xC38)	456,32
C₆.₅(C₂×C₃₈) = C₁₉×C₃⋊D₄	φ: C₂×C₃₈/C₃₈ → C₂ ⊆ Aut C₆	228	2	C6.5(C2xC38)	456,33
C₆.₆(C₂×C₃₈) = D₄×C₅₇	central extension (φ=1)	228	2	C6.6(C2xC38)	456,40
C₆.₇(C₂×C₃₈) = Q₈×C₅₇	central extension (φ=1)	456	2	C6.7(C2xC38)	456,41

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