Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₃×D₄

Direct product G=N×Q with N=C₁₃ and Q=C₃×D₄

		d	ρ	Label	ID
D₄×C₃₉		156	2	D4xC39	312,43

Semidirect products G=N:Q with N=C₁₃ and Q=C₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁(C₃×D₄) = D₅₂⋊C₃	φ: C₃×D₄/C₄ → C₆ ⊆ Aut C₁₃	52	6+	C13:1(C3xD4)	312,10
C₁₃⋊₂(C₃×D₄) = D₂₆⋊C₆	φ: C₃×D₄/C₂² → C₆ ⊆ Aut C₁₃	52	6	C13:2(C3xD4)	312,12
C₁₃⋊₃(C₃×D₄) = D₄×C₁₃⋊C₃	φ: C₃×D₄/D₄ → C₃ ⊆ Aut C₁₃	52	6	C13:3(C3xD4)	312,23
C₁₃⋊₄(C₃×D₄) = C₃×D₅₂	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₁₃	156	2	C13:4(C3xD4)	312,29
C₁₃⋊₅(C₃×D₄) = C₃×C₁₃⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₁₃	156	2	C13:5(C3xD4)	312,31

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