Extensions 1→N→G→Q→1 with N=C₃₉ and Q=C₂×C₆

Direct product G=N×Q with N=C₃₉ and Q=C₂×C₆

		d	ρ	Label	ID
C₆×C₇₈		468		C6xC78	468,55

Semidirect products G=N:Q with N=C₃₉ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉⋊(C₂×C₆) = S₃×C₁₃⋊C₆	φ: C₂×C₆/C₁ → C₂×C₆ ⊆ Aut C₃₉	39	12+	C39:(C2xC6)	468,31
C₃₉⋊₂(C₂×C₆) = C₂×D₃₉⋊C₃	φ: C₂×C₆/C₂ → C₆ ⊆ Aut C₃₉	78	6+	C39:2(C2xC6)	468,35
C₃₉⋊₃(C₂×C₆) = C₆×C₁₃⋊C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Aut C₃₉	78	6	C39:3(C2xC6)	468,33
C₃₉⋊₄(C₂×C₆) = C₂×S₃×C₁₃⋊C₃	φ: C₂×C₆/C₂ → C₆ ⊆ Aut C₃₉	78	6	C39:4(C2xC6)	468,34
C₃₉⋊₅(C₂×C₆) = C₃×S₃×D₁₃	φ: C₂×C₆/C₃ → C₂² ⊆ Aut C₃₉	78	4	C39:5(C2xC6)	468,42
C₃₉⋊₆(C₂×C₆) = C₂×C₆×C₁₃⋊C₃	φ: C₂×C₆/C₂² → C₃ ⊆ Aut C₃₉	156		C39:6(C2xC6)	468,47
C₃₉⋊₇(C₂×C₆) = C₆×D₃₉	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₉	156	2	C39:7(C2xC6)	468,52
C₃₉⋊₈(C₂×C₆) = C₃×C₆×D₁₃	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₉	234		C39:8(C2xC6)	468,50
C₃₉⋊₉(C₂×C₆) = S₃×C₇₈	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₉	156	2	C39:9(C2xC6)	468,51

Non-split extensions G=N.Q with N=C₃₉ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉.(C₂×C₆) = C₂×C₁₃⋊C₁₈	φ: C₂×C₆/C₂ → C₆ ⊆ Aut C₃₉	234	6	C39.(C2xC6)	468,8
C₃₉.₂(C₂×C₆) = C₂²×C₁₃⋊C₉	φ: C₂×C₆/C₂² → C₃ ⊆ Aut C₃₉	468		C39.2(C2xC6)	468,12
C₃₉.₃(C₂×C₆) = C₁₈×D₁₃	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₉	234	2	C39.3(C2xC6)	468,15

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