Extensions 1→N→G→Q→1 with N=C₃₉ and Q=D₆

Direct product G=N×Q with N=C₃₉ and Q=D₆

		d	ρ	Label	ID
S₃×C₇₈		156	2	S3xC78	468,51

Semidirect products G=N:Q with N=C₃₉ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉⋊₁D₆ = C₃⋊S₃×D₁₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃₉	117		C39:1D6	468,43
C₃₉⋊₂D₆ = S₃×D₃₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃₉	78	4+	C39:2D6	468,45
C₃₉⋊₃D₆ = D₃₉⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃₉	78	4	C39:3D6	468,46
C₃₉⋊₄D₆ = C₃×S₃×D₁₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃₉	78	4	C39:4D6	468,42
C₃₉⋊₅D₆ = S₃²×C₁₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃₉	78	4	C39:5D6	468,44
C₃₉⋊₆D₆ = C₂×C₃⋊D₃₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃₉	234		C39:6D6	468,54
C₃₉⋊₇D₆ = C₆×D₃₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃₉	156	2	C39:7D6	468,52
C₃₉⋊₈D₆ = C₃⋊S₃×C₂₆	φ: D₆/C₆ → C₂ ⊆ Aut C₃₉	234		C39:8D6	468,53

Non-split extensions G=N.Q with N=C₃₉ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉.D₆ = D₉×D₁₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃₉	117	4+	C39.D6	468,11
C₃₉.₂D₆ = D₂₃₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃₉	234	2+	C39.2D6	468,17
C₃₉.₃D₆ = D₉×C₂₆	φ: D₆/C₆ → C₂ ⊆ Aut C₃₉	234	2	C39.3D6	468,16

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