Extensions 1→N→G→Q→1 with N=C₃₉ and Q=C₁₂

Direct product G=N×Q with N=C₃₉ and Q=C₁₂

		d	ρ	Label	ID
C₃×C₁₅₆		468		C3xC156	468,28

Semidirect products G=N:Q with N=C₃₉ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉⋊₁C₁₂ = C₃⋊F₁₃	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₃₉	39	12	C39:1C12	468,30
C₃₉⋊₂C₁₂ = C₃×F₁₃	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₃₉	39	12	C39:2C12	468,29
C₃₉⋊₃C₁₂ = C₃₉⋊₃C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃₉	156	6-	C39:3C12	468,21
C₃₉⋊₄C₁₂ = C₃×C₂₆.C₆	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃₉	156	6	C39:4C12	468,19
C₃₉⋊₅C₁₂ = Dic₃×C₁₃⋊C₃	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃₉	156	6	C39:5C12	468,20
C₃₉⋊₆C₁₂ = C₃×C₃₉⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₃₉	78	4	C39:6C12	468,37
C₃₉⋊₇C₁₂ = C₃²×C₁₃⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₃₉	117		C39:7C12	468,36
C₃₉⋊₈C₁₂ = C₁₂×C₁₃⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃₉	156	3	C39:8C12	468,22
C₃₉⋊₉C₁₂ = C₃×Dic₃₉	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃₉	156	2	C39:9C12	468,25
C₃₉⋊₁₀C₁₂ = C₃²×Dic₁₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃₉	468		C39:10C12	468,23
C₃₉⋊₁₁C₁₂ = Dic₃×C₃₉	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃₉	156	2	C39:11C12	468,24

Non-split extensions G=N.Q with N=C₃₉ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉.C₁₂ = C₁₃⋊C₃₆	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₃₉	117	12	C39.C12	468,7
C₃₉.₂C₁₂ = C₁₃⋊₂C₃₆	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃₉	468	6	C39.2C12	468,1
C₃₉.₃C₁₂ = C₉×C₁₃⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₃₉	117	4	C39.3C12	468,9
C₃₉.₄C₁₂ = C₄×C₁₃⋊C₉	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃₉	468	3	C39.4C12	468,2
C₃₉.₅C₁₂ = C₉×Dic₁₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃₉	468	2	C39.5C12	468,4

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